Preparatory MathematicsLaajuus (3 cr)
Code: TZMV0300
Credits
3 op
Teaching language
- Finnish
- English
Responsible person
- Anne Rantakaulio, TKN
- Antti Kosonen, TER, TRY, TRM
- Ida Arhosalo, TSA, TAR
- Harri Varpanen, TIC
- Pekka Varis, TTV
- Kalle Niemi, TLS, TLP
Objective
Course purpose
During this course you rehearse and reinforce mathematical knowledge and skills needed in the beginning of your studies.
Course competences
EUR-ACE: Knowledge and understanding
Knowledge and understanding of the mathematics and other basic sciences underlying their engineering specialisation, at a level necessary to achieve the other programme outcomes.
Learning outcomes
After completing this course you recall basic algebraic operations and rules for numbers and symbols, and formulas related to common geometric shapes. You understand the difference between an expression and an equation. You are able to apply what you have learned to solve simple problems related to your own field of study.
Content
Basic algebraic operations, the notion of square root, rules for exponents, simplification of polynomial expressions and simple rational expressions, simple linear and quadratic polynomial equations, percentages, simple geometry and trigonometry for right triangles, basics of functions, verbal problems.
Assessment criteria, approved/failed
You are able to simplify simple polynomial- and rational expressions and evaluate expressions numerically. You recognise the difference between an expression and an equation. You can explain how simplifying an expression differs from the process of solving an equation. You are able to solve simple linear and quadratic polynomial equations. You can solve the edges and angles of right triangles. You can solve simple problems with equations. You know the notation for functions, are able to read the values of a function from a graph, and compute values of a given function using the functions expression. You recognise the equation of a line, are able to draw the line by using it, and you can determine the equation of a line from a picture.
Further information
The course is meant to be taken before compulsory mathematical studies in technology. The course also offers good mathematical acquirements for studies on other fields than technology.
Enrollment
20.11.2023 - 04.01.2024
Timing
08.01.2024 - 18.05.2024
Number of ECTS credits allocated
3 op
Virtual portion
3 op
Mode of delivery
Distance learning
Unit
School of Technology
Campus
Main Campus
Teaching languages
- Finnish
Seats
0 - 20
Degree programmes
- Bachelor's Degree Programme in Logistics
Teacher in charge
Ida Arhosalo
Groups
-
TLS24KMMLogistiikka - tutkinto-ohjelma (AMK)
Objective
Course purpose
During this course you rehearse and reinforce mathematical knowledge and skills needed in the beginning of your studies.
Course competences
EUR-ACE: Knowledge and understanding
Knowledge and understanding of the mathematics and other basic sciences underlying their engineering specialisation, at a level necessary to achieve the other programme outcomes.
Learning outcomes
After completing this course you recall basic algebraic operations and rules for numbers and symbols, and formulas related to common geometric shapes. You understand the difference between an expression and an equation. You are able to apply what you have learned to solve simple problems related to your own field of study.
Content
Basic algebraic operations, the notion of square root, rules for exponents, simplification of polynomial expressions and simple rational expressions, simple linear and quadratic polynomial equations, percentages, simple geometry and trigonometry for right triangles, basics of functions, verbal problems.
Location and time
Course is implemented 08.01.2024 - 18.05.2024
Materials
Videos and text files in the learning environment, automatic tests
Teaching methods
Learning videos, independent work, automatic tests, exam
Exam schedules
Schedule will be given on the front page of the learning environment. Registration for the exam is done according to the instructions on the first page.
Student workload
Independent work 79 h
Controlled exam 2 h
Evaluation scale
Pass/Fail
Assessment criteria, approved/failed
You are able to simplify simple polynomial- and rational expressions and evaluate expressions numerically. You recognise the difference between an expression and an equation. You can explain how simplifying an expression differs from the process of solving an equation. You are able to solve simple linear and quadratic polynomial equations. You can solve the edges and angles of right triangles. You can solve simple problems with equations. You know the notation for functions, are able to read the values of a function from a graph, and compute values of a given function using the functions expression. You recognise the equation of a line, are able to draw the line by using it, and you can determine the equation of a line from a picture.
Further information
The course is meant to be taken before compulsory mathematical studies in technology. The course also offers good mathematical acquirements for studies on other fields than technology.
Timing
01.01.2024 - 30.04.2024
Number of ECTS credits allocated
3 op
Mode of delivery
Contact teaching
Unit
School of Technology
Campus
Main Campus
Teaching languages
- Finnish
Degree programmes
- Bachelor's Degree Programme in Logistics
- Bachelor's Degree Programme in Construction and Civil Engineering
- Bachelor's Degree Programme in Electrical and Automation Engineering
- Bachelor's Degree Programme in Energy and Environmental Technology
- Bachelor's Degree Programme in Mechanical Engineering
- Bachelor's Degree Programme in Construction Management
- Bachelor's Degree Programme in Information and Communications Technology
Teachers
- Ida Arhosalo
Groups
-
TSA24KMInsinööri (AMK), sähkö- ja automaatiotekniikka,monimuototeutus
Objective
Course purpose
During this course you rehearse and reinforce mathematical knowledge and skills needed in the beginning of your studies.
Course competences
EUR-ACE: Knowledge and understanding
Knowledge and understanding of the mathematics and other basic sciences underlying their engineering specialisation, at a level necessary to achieve the other programme outcomes.
Learning outcomes
After completing this course you recall basic algebraic operations and rules for numbers and symbols, and formulas related to common geometric shapes. You understand the difference between an expression and an equation. You are able to apply what you have learned to solve simple problems related to your own field of study.
Content
Basic algebraic operations, the notion of square root, rules for exponents, simplification of polynomial expressions and simple rational expressions, simple linear and quadratic polynomial equations, percentages, simple geometry and trigonometry for right triangles, basics of functions, verbal problems.
Location and time
Course is implemented 01.01.2024 - 30.04.2024
Materials
Videos and text files in the learning environment, automatic tests
Teaching methods
Learning videos, independent work, automatic tests, exam
Exam schedules
Schedule will be given on the front page of the learning environment. Registration for the exam is done according to the instructions on the first page.
Student workload
Independent work 79 h
Controlled exam 2 h
Evaluation scale
Pass/Fail
Assessment criteria, approved/failed
You are able to simplify simple polynomial- and rational expressions and evaluate expressions numerically. You recognise the difference between an expression and an equation. You can explain how simplifying an expression differs from the process of solving an equation. You are able to solve simple linear and quadratic polynomial equations. You can solve the edges and angles of right triangles. You can solve simple problems with equations. You know the notation for functions, are able to read the values of a function from a graph, and compute values of a given function using the functions expression. You recognise the equation of a line, are able to draw the line by using it, and you can determine the equation of a line from a picture.
Further information
The course is meant to be taken before compulsory mathematical studies in technology. The course also offers good mathematical acquirements for studies on other fields than technology.
Enrollment
01.08.2023 - 24.08.2023
Timing
28.08.2023 - 13.10.2023
Number of ECTS credits allocated
3 op
Mode of delivery
Contact teaching
Unit
School of Technology
Campus
Main Campus
Teaching languages
- English
- Finnish
Degree programmes
- Bachelor's Degree Programme in Logistics
- Bachelor's Degree Programme in Construction and Civil Engineering
- Bachelor's Degree Programme in Electrical and Automation Engineering
- Bachelor's Degree Programme in Energy and Environmental Technology
- Bachelor's Degree Programme in Mechanical Engineering
- Bachelor's Degree Programme in Construction Management
- Bachelor's Degree Programme in Information and Communications Technology
Teachers
- Ville Arvio
Groups
-
TAR23S1Bachelor's Degree Programme in Automation and Robotics
Objective
Course purpose
During this course you rehearse and reinforce mathematical knowledge and skills needed in the beginning of your studies.
Course competences
EUR-ACE: Knowledge and understanding
Knowledge and understanding of the mathematics and other basic sciences underlying their engineering specialisation, at a level necessary to achieve the other programme outcomes.
Learning outcomes
After completing this course you recall basic algebraic operations and rules for numbers and symbols, and formulas related to common geometric shapes. You understand the difference between an expression and an equation. You are able to apply what you have learned to solve simple problems related to your own field of study.
Content
Basic algebraic operations, the notion of square root, rules for exponents, simplification of polynomial expressions and simple rational expressions, simple linear and quadratic polynomial equations, percentages, simple geometry and trigonometry for right triangles, basics of functions, verbal problems.
Location and time
The course will take place during weeks 35 - 41 (28.8. - 13.10.2023) at the Lutakko campus in Dynamo.
Materials
The written course material and possible video material will be published in the course learning environment at the beginning of the course.
Teaching methods
Contact teaching 2+ 2 h/week, including short lectures and calculation exercises.
Weekly tests
Independent study
Independent work on exercises
Exam schedules
The dates of the tests and retests are published in the learning environment at the beginning of the course.
Student workload
Contact classes approx. 30 h
Independent exercises 24 h
Independent study, test preparation and tests 27 h
Further information
The course is completed by means of a passed tests (3 pieces) . The pass mark is 80% correct. In addition to the tests, a final exam (80% correct) must be passed. In order to take the test, you must obtain at least the minimum number of marks indicated in the test papers for the homework in the test area.
Evaluation scale
Pass/Fail
Assessment criteria, approved/failed
You are able to simplify simple polynomial- and rational expressions and evaluate expressions numerically. You recognise the difference between an expression and an equation. You can explain how simplifying an expression differs from the process of solving an equation. You are able to solve simple linear and quadratic polynomial equations. You can solve the edges and angles of right triangles. You can solve simple problems with equations. You know the notation for functions, are able to read the values of a function from a graph, and compute values of a given function using the functions expression. You recognise the equation of a line, are able to draw the line by using it, and you can determine the equation of a line from a picture.
Further information
The course is meant to be taken before compulsory mathematical studies in technology. The course also offers good mathematical acquirements for studies on other fields than technology.
Enrollment
01.08.2023 - 24.08.2023
Timing
28.08.2023 - 13.10.2023
Number of ECTS credits allocated
3 op
Virtual portion
1 op
Mode of delivery
67 % Contact teaching, 33 % Distance learning
Unit
School of Technology
Campus
Lutakko Campus
Teaching languages
- Finnish
Seats
20 - 35
Degree programmes
- Bachelor's Degree Programme in Information and Communications Technology
Teachers
- Sirpa Alestalo
Groups
-
TTV23S2Tieto- ja viestintätekniikka (AMK)
-
TTV23S1Tieto- ja viestintätekniikka (AMK)
Objective
Course purpose
During this course you rehearse and reinforce mathematical knowledge and skills needed in the beginning of your studies.
Course competences
EUR-ACE: Knowledge and understanding
Knowledge and understanding of the mathematics and other basic sciences underlying their engineering specialisation, at a level necessary to achieve the other programme outcomes.
Learning outcomes
After completing this course you recall basic algebraic operations and rules for numbers and symbols, and formulas related to common geometric shapes. You understand the difference between an expression and an equation. You are able to apply what you have learned to solve simple problems related to your own field of study.
Content
Basic algebraic operations, the notion of square root, rules for exponents, simplification of polynomial expressions and simple rational expressions, simple linear and quadratic polynomial equations, percentages, simple geometry and trigonometry for right triangles, basics of functions, verbal problems.
Location and time
Opintojakso toteutetaan viikoilla 35 - 41 (28.8. - 13.10.2023) Lutakon kampuksella Dynamolla
Materials
Opintojakson kirjallinen materiaali sekä mahdollinen videomateriaali julkaistaan opintojakson oppimisympäristössä opintojakson alussa.
Teaching methods
Kontaktiopetus 3+ 2 h/viikko , joka sisältää lyhyitä luentoja sekä laskuharjoituksia.
Viikkotestit
Itsenäistä opiskelua
Itsenäiset laskuharjoitukset
Exam schedules
Testien sekä uusintojen ajankohdat julkaistaan oppimisympäristössä opintjakson alussa.
Student workload
Kontaktiopetus n. 30 h
Itsenäiset harjoitukset 24 h
Itsenäinen opiskelu, testeihin valmistautuminen sekä testit 27 h
Further information
Opintojakso suoritetaan läpäisytesteillä (3 kpl) . Hyväksyttyyn suoritukseen vaaditaan 80 % oikein. Testien lisäksi täytyy läpäistä loppukoe (80 % oikein). Jotta testiin voi osallistua, täytyy saada testialueen kotitehtävistä vähintään tehtävissä ilmoitettu minimipistemäärä.
Avoin AMK 5 paikkaa
Evaluation scale
Pass/Fail
Assessment criteria, approved/failed
You are able to simplify simple polynomial- and rational expressions and evaluate expressions numerically. You recognise the difference between an expression and an equation. You can explain how simplifying an expression differs from the process of solving an equation. You are able to solve simple linear and quadratic polynomial equations. You can solve the edges and angles of right triangles. You can solve simple problems with equations. You know the notation for functions, are able to read the values of a function from a graph, and compute values of a given function using the functions expression. You recognise the equation of a line, are able to draw the line by using it, and you can determine the equation of a line from a picture.
Further information
The course is meant to be taken before compulsory mathematical studies in technology. The course also offers good mathematical acquirements for studies on other fields than technology.
Enrollment
01.08.2023 - 24.08.2023
Timing
28.08.2023 - 13.10.2023
Number of ECTS credits allocated
3 op
Mode of delivery
Contact teaching
Unit
School of Technology
Campus
Lutakko Campus
Teaching languages
- English
Seats
20 - 35
Degree programmes
- Bachelor's Degree Programme in Information and Communications Technology
Teachers
- Ville Arvio
Groups
-
TIC23S1Bachelor's Degree Programme in Information and Communications Technology
Objective
Course purpose
During this course you rehearse and reinforce mathematical knowledge and skills needed in the beginning of your studies.
Course competences
EUR-ACE: Knowledge and understanding
Knowledge and understanding of the mathematics and other basic sciences underlying their engineering specialisation, at a level necessary to achieve the other programme outcomes.
Learning outcomes
After completing this course you recall basic algebraic operations and rules for numbers and symbols, and formulas related to common geometric shapes. You understand the difference between an expression and an equation. You are able to apply what you have learned to solve simple problems related to your own field of study.
Content
Basic algebraic operations, the notion of square root, rules for exponents, simplification of polynomial expressions and simple rational expressions, simple linear and quadratic polynomial equations, percentages, simple geometry and trigonometry for right triangles, basics of functions, verbal problems.
Evaluation scale
0-5
Assessment criteria, approved/failed
You are able to simplify simple polynomial- and rational expressions and evaluate expressions numerically. You recognise the difference between an expression and an equation. You can explain how simplifying an expression differs from the process of solving an equation. You are able to solve simple linear and quadratic polynomial equations. You can solve the edges and angles of right triangles. You can solve simple problems with equations. You know the notation for functions, are able to read the values of a function from a graph, and compute values of a given function using the functions expression. You recognise the equation of a line, are able to draw the line by using it, and you can determine the equation of a line from a picture.
Further information
The course is meant to be taken before compulsory mathematical studies in technology. The course also offers good mathematical acquirements for studies on other fields than technology.
Enrollment
01.08.2023 - 24.08.2023
Timing
28.08.2023 - 13.10.2023
Number of ECTS credits allocated
3 op
Virtual portion
1 op
Mode of delivery
67 % Contact teaching, 33 % Distance learning
Unit
School of Technology
Campus
Lutakko Campus
Teaching languages
- Finnish
Seats
20 - 35
Degree programmes
- Bachelor's Degree Programme in Information and Communications Technology
Teachers
- Sirpa Alestalo
Groups
-
TTV23S3Tieto- ja viestintätekniikka (AMK)
-
TTV23S5Tieto- ja viestintätekniikka (AMK)
Objective
Course purpose
During this course you rehearse and reinforce mathematical knowledge and skills needed in the beginning of your studies.
Course competences
EUR-ACE: Knowledge and understanding
Knowledge and understanding of the mathematics and other basic sciences underlying their engineering specialisation, at a level necessary to achieve the other programme outcomes.
Learning outcomes
After completing this course you recall basic algebraic operations and rules for numbers and symbols, and formulas related to common geometric shapes. You understand the difference between an expression and an equation. You are able to apply what you have learned to solve simple problems related to your own field of study.
Content
Basic algebraic operations, the notion of square root, rules for exponents, simplification of polynomial expressions and simple rational expressions, simple linear and quadratic polynomial equations, percentages, simple geometry and trigonometry for right triangles, basics of functions, verbal problems.
Location and time
Opintojakso toteutetaan viikoilla 35 - 41 (28.8. - 13.10.2023) Lutakon kampuksella Dynamolla
Materials
Opintojakson kirjallinen materiaali sekä mahdollinen videomateriaali julkaistaan opintojakson oppimisympäristössä opintojakson alussa.
Teaching methods
Kontaktiopetus 3+ 2 h/viikko , joka sisältää lyhyitä luentoja sekä laskuharjoituksia.
Viikkotestit
Itsenäistä opiskelua
Itsenäiset laskuharjoitukset
Exam schedules
Testien sekä uusintojen ajankohdat julkaistaan oppimisympäristössä opintjakson alussa.
Student workload
Kontaktiopetus n. 30 h
Itsenäiset harjoitukset 24 h
Itsenäinen opiskelu, testeihin valmistautuminen sekä testit 27 h
Further information
Opintojakso suoritetaan läpäisytesteillä (3 kpl) . Hyväksyttyyn suoritukseen vaaditaan 80 % oikein. Testien lisäksi täytyy läpäistä loppukoe (80 % oikein). Jotta testiin voi osallistua, täytyy saada testialueen kotitehtävistä vähintään tehtävissä ilmoitettu minimipistemäärä.
Avoin AMK 5 paikkaa
Evaluation scale
Pass/Fail
Assessment criteria, approved/failed
You are able to simplify simple polynomial- and rational expressions and evaluate expressions numerically. You recognise the difference between an expression and an equation. You can explain how simplifying an expression differs from the process of solving an equation. You are able to solve simple linear and quadratic polynomial equations. You can solve the edges and angles of right triangles. You can solve simple problems with equations. You know the notation for functions, are able to read the values of a function from a graph, and compute values of a given function using the functions expression. You recognise the equation of a line, are able to draw the line by using it, and you can determine the equation of a line from a picture.
Further information
The course is meant to be taken before compulsory mathematical studies in technology. The course also offers good mathematical acquirements for studies on other fields than technology.
Enrollment
01.08.2023 - 24.08.2023
Timing
28.08.2023 - 13.10.2023
Number of ECTS credits allocated
3 op
Mode of delivery
Contact teaching
Unit
School of Technology
Campus
Lutakko Campus
Teaching languages
- Finnish
Seats
20 - 35
Degree programmes
- Bachelor's Degree Programme in Information and Communications Technology
Teachers
- Ville Arvio
Groups
-
TTV23SMTieto- ja viestintätekniikka (AMK)
-
ZJATTV23SMAvoin amk, Tieto- ja viestintätekniikka, Monimuoto
Objective
Course purpose
During this course you rehearse and reinforce mathematical knowledge and skills needed in the beginning of your studies.
Course competences
EUR-ACE: Knowledge and understanding
Knowledge and understanding of the mathematics and other basic sciences underlying their engineering specialisation, at a level necessary to achieve the other programme outcomes.
Learning outcomes
After completing this course you recall basic algebraic operations and rules for numbers and symbols, and formulas related to common geometric shapes. You understand the difference between an expression and an equation. You are able to apply what you have learned to solve simple problems related to your own field of study.
Content
Basic algebraic operations, the notion of square root, rules for exponents, simplification of polynomial expressions and simple rational expressions, simple linear and quadratic polynomial equations, percentages, simple geometry and trigonometry for right triangles, basics of functions, verbal problems.
Location and time
Opintojakso toteutetaan viikoilla 35 - 41 (28.8. - 13.10.2023)
Materials
Opintojakson kirjallinen materiaali sekä videomateriaali julkaistaan opintojakson oppimisympäristössä opintojakson alussa.
Teaching methods
Verkkototeutus, ei lähiopetusta
Itsenäistä opiskelua videoiden avulla
Verkko-ohjausta
Itsenäiset laskuharjoitukset
Exam schedules
Kokeen ajankohdat julkaistaan oppimisympäristössä opintojakson alussa. Kokeen voi tehdä paikan päällä tai etänä.
Student workload
verkko-ohjaukset 9 h
Itsenäiset harjoitukset 32 h
Itsenäinen opiskelu, kokeeseen valmistautuminen sekä koe 40 h
Further information
Opintoijakso arvioidaan kurssin lopulla pidettävällä kokeella. Viikottaisista kotitehtävistä saa kokeeseen lisäpisteitä.
Evaluation scale
Pass/Fail
Assessment criteria, approved/failed
You are able to simplify simple polynomial- and rational expressions and evaluate expressions numerically. You recognise the difference between an expression and an equation. You can explain how simplifying an expression differs from the process of solving an equation. You are able to solve simple linear and quadratic polynomial equations. You can solve the edges and angles of right triangles. You can solve simple problems with equations. You know the notation for functions, are able to read the values of a function from a graph, and compute values of a given function using the functions expression. You recognise the equation of a line, are able to draw the line by using it, and you can determine the equation of a line from a picture.
Further information
The course is meant to be taken before compulsory mathematical studies in technology. The course also offers good mathematical acquirements for studies on other fields than technology.
Enrollment
01.08.2023 - 24.08.2023
Timing
28.08.2023 - 15.10.2023
Number of ECTS credits allocated
3 op
Mode of delivery
Contact teaching
Unit
School of Technology
Campus
Main Campus
Teaching languages
- English
Seats
0 - 15
Degree programmes
- Bachelor's Degree Programme in Purchasing and Logistics Engineering
Teachers
- Kalle Niemi
Groups
-
ZJATLP23S1Avoin amk, Purchasing and Logistics Engineering, Päivä
-
TLP23S1Bachelor's Degree Programme in Purchasing and Logistics Engineering
-
TLP23VSBachelor's Degree Programme in Purchasing and Logistics Engineering (AMK) vaihto-opiskelu/Exchange studies
Objective
Course purpose
During this course you rehearse and reinforce mathematical knowledge and skills needed in the beginning of your studies.
Course competences
EUR-ACE: Knowledge and understanding
Knowledge and understanding of the mathematics and other basic sciences underlying their engineering specialisation, at a level necessary to achieve the other programme outcomes.
Learning outcomes
After completing this course you recall basic algebraic operations and rules for numbers and symbols, and formulas related to common geometric shapes. You understand the difference between an expression and an equation. You are able to apply what you have learned to solve simple problems related to your own field of study.
Content
Basic algebraic operations, the notion of square root, rules for exponents, simplification of polynomial expressions and simple rational expressions, simple linear and quadratic polynomial equations, percentages, simple geometry and trigonometry for right triangles, basics of functions, verbal problems.
Location and time
Course is implemented between 28.8. - 15.10.
Materials
Videos in the learning environment, text files, automatic tests
Teaching methods
Guided exercises, booklet tasks, independent work, automatic tests, exam.
Exam schedules
Exam at week 41
Resits in weeks 43 and 47
Student workload
Lectures, quided exercises and exam 30 h
Independent work and automatic tests 51 h
Content scheduling
Schedule will be agreed on the first contact lesson of the course.
Further information
Automatic tests
Exam
Evaluation scale
Pass/Fail
Assessment criteria, approved/failed
You are able to simplify simple polynomial- and rational expressions and evaluate expressions numerically. You recognise the difference between an expression and an equation. You can explain how simplifying an expression differs from the process of solving an equation. You are able to solve simple linear and quadratic polynomial equations. You can solve the edges and angles of right triangles. You can solve simple problems with equations. You know the notation for functions, are able to read the values of a function from a graph, and compute values of a given function using the functions expression. You recognise the equation of a line, are able to draw the line by using it, and you can determine the equation of a line from a picture.
Further information
The course is meant to be taken before compulsory mathematical studies in technology. The course also offers good mathematical acquirements for studies on other fields than technology.
Enrollment
01.08.2023 - 31.05.2024
Timing
28.08.2023 - 31.07.2024
Number of ECTS credits allocated
3 op
Virtual portion
3 op
Mode of delivery
Distance learning
Unit
School of Technology
Campus
Main Campus
Teaching languages
- Finnish
Degree programmes
- Bachelor's Degree Programme in Logistics
- Bachelor's Degree Programme in Construction and Civil Engineering
- Bachelor's Degree Programme in Mechanical Engineering
- Bachelor's Degree Programme in Construction Management
Teachers
- Ida Arhosalo
- Kalle Niemi
Groups
-
UTIVERKKOInstitute of New Industry, online learning (mechanical, logistics and civil engineering)
-
ZJA23STNOAvoin amk, Tekniikka, Nonstop, Verkko
Objective
Course purpose
During this course you rehearse and reinforce mathematical knowledge and skills needed in the beginning of your studies.
Course competences
EUR-ACE: Knowledge and understanding
Knowledge and understanding of the mathematics and other basic sciences underlying their engineering specialisation, at a level necessary to achieve the other programme outcomes.
Learning outcomes
After completing this course you recall basic algebraic operations and rules for numbers and symbols, and formulas related to common geometric shapes. You understand the difference between an expression and an equation. You are able to apply what you have learned to solve simple problems related to your own field of study.
Content
Basic algebraic operations, the notion of square root, rules for exponents, simplification of polynomial expressions and simple rational expressions, simple linear and quadratic polynomial equations, percentages, simple geometry and trigonometry for right triangles, basics of functions, verbal problems.
Location and time
Non-stop during semester 2023-2024
Materials
Videos and text files in the learning environment, automatic tests
Teaching methods
Learning videos, independent work, automatic tests, consultation webinars, exam
Exam schedules
Schedule will be given on the front page of the learning environment.
Student workload
Independent work 79 h
Controlled exam 2 h
Further information
Avoin amk: 50 paikkaa
Evaluation scale
Pass/Fail
Assessment criteria, approved/failed
You are able to simplify simple polynomial- and rational expressions and evaluate expressions numerically. You recognise the difference between an expression and an equation. You can explain how simplifying an expression differs from the process of solving an equation. You are able to solve simple linear and quadratic polynomial equations. You can solve the edges and angles of right triangles. You can solve simple problems with equations. You know the notation for functions, are able to read the values of a function from a graph, and compute values of a given function using the functions expression. You recognise the equation of a line, are able to draw the line by using it, and you can determine the equation of a line from a picture.
Further information
The course is meant to be taken before compulsory mathematical studies in technology. The course also offers good mathematical acquirements for studies on other fields than technology.
Enrollment
01.08.2023 - 24.08.2023
Timing
28.08.2023 - 13.10.2023
Number of ECTS credits allocated
3 op
Virtual portion
3 op
Mode of delivery
Distance learning
Unit
School of Technology
Campus
Lutakko Campus
Teaching languages
- Finnish
Seats
0 - 35
Degree programmes
- Bachelor's Degree Programme in Information and Communications Technology
Teachers
- Sirpa Alestalo
Teacher in charge
Sirpa Alestalo
Groups
-
TTV23S2Tieto- ja viestintätekniikka (AMK)
-
TTV23S3Tieto- ja viestintätekniikka (AMK)
-
TTV23S5Tieto- ja viestintätekniikka (AMK)
-
TTV23S1Tieto- ja viestintätekniikka (AMK)
Objective
Course purpose
During this course you rehearse and reinforce mathematical knowledge and skills needed in the beginning of your studies.
Course competences
EUR-ACE: Knowledge and understanding
Knowledge and understanding of the mathematics and other basic sciences underlying their engineering specialisation, at a level necessary to achieve the other programme outcomes.
Learning outcomes
After completing this course you recall basic algebraic operations and rules for numbers and symbols, and formulas related to common geometric shapes. You understand the difference between an expression and an equation. You are able to apply what you have learned to solve simple problems related to your own field of study.
Content
Basic algebraic operations, the notion of square root, rules for exponents, simplification of polynomial expressions and simple rational expressions, simple linear and quadratic polynomial equations, percentages, simple geometry and trigonometry for right triangles, basics of functions, verbal problems.
Location and time
Opintojakso toteutetaan viikoilla 35 - 41 (28.8. - 13.10.2023).
Materials
Opintojakson kirjallinen materiaali sekä mahdollinen videomateriaali julkaistaan opintojakson oppimisympäristössä opintojakson alussa.
Teaching methods
Virtuaalitoteutus, videoluennot
Viikkotestit
Itsenäistä opiskelua
Itsenäiset laskuharjoitukset
Valvottu koe
Exam schedules
Testien sekä uusintojen ajankohdat julkaistaan oppimisympäristössä opintjakson alussa.
Student workload
Verkkomateriaalin läpikäynti (luennot + tuntiharjoitukset) 40 h
Kotitehtävät + harjoitustestit 25 h
Pakolliset testit + koe 16 h
Further information
Opintojakso suoritetaan läpäisytesteillä (3 kpl) . Hyväksyttyyn suoritukseen vaaditaan 80 % oikein. Testien lisäksi täytyy läpäistä loppukoe (80 % oikein). Jotta testiin voi osallistua, täytyy saada testialueen kotitehtävistä vähintään tehtävissä ilmoitettu minimipistemäärä.
Avoin AMK 5 paikkaa
Evaluation scale
Pass/Fail
Assessment criteria, approved/failed
You are able to simplify simple polynomial- and rational expressions and evaluate expressions numerically. You recognise the difference between an expression and an equation. You can explain how simplifying an expression differs from the process of solving an equation. You are able to solve simple linear and quadratic polynomial equations. You can solve the edges and angles of right triangles. You can solve simple problems with equations. You know the notation for functions, are able to read the values of a function from a graph, and compute values of a given function using the functions expression. You recognise the equation of a line, are able to draw the line by using it, and you can determine the equation of a line from a picture.
Further information
The course is meant to be taken before compulsory mathematical studies in technology. The course also offers good mathematical acquirements for studies on other fields than technology.
Enrollment
01.08.2023 - 24.08.2023
Timing
23.08.2023 - 06.10.2023
Number of ECTS credits allocated
3 op
Mode of delivery
Contact teaching
Unit
School of Technology
Campus
Main Campus
Teaching languages
- Finnish
Seats
0 - 32
Degree programmes
- Bachelor's Degree Programme in Energy and Environmental Technology
- Bachelor's Degree Programme in Mechanical Engineering
Teachers
- Anne Rantakaulio
Groups
-
TKN23SBKonetekniikka (AMK)
-
ZJATKN23S1Avoin amk, Konetekniikka, Päivä
-
ZJATER23S1Avoin amk, Energia- ja ympäristötekniikka , päivä
-
TER23S1Energia- ja ympäristötekniikka (AMK)
-
TKN23SAKonetekniikka (AMK)
Objective
Course purpose
During this course you rehearse and reinforce mathematical knowledge and skills needed in the beginning of your studies.
Course competences
EUR-ACE: Knowledge and understanding
Knowledge and understanding of the mathematics and other basic sciences underlying their engineering specialisation, at a level necessary to achieve the other programme outcomes.
Learning outcomes
After completing this course you recall basic algebraic operations and rules for numbers and symbols, and formulas related to common geometric shapes. You understand the difference between an expression and an equation. You are able to apply what you have learned to solve simple problems related to your own field of study.
Content
Basic algebraic operations, the notion of square root, rules for exponents, simplification of polynomial expressions and simple rational expressions, simple linear and quadratic polynomial equations, percentages, simple geometry and trigonometry for right triangles, basics of functions, verbal problems.
Evaluation scale
0-5
Assessment criteria, approved/failed
You are able to simplify simple polynomial- and rational expressions and evaluate expressions numerically. You recognise the difference between an expression and an equation. You can explain how simplifying an expression differs from the process of solving an equation. You are able to solve simple linear and quadratic polynomial equations. You can solve the edges and angles of right triangles. You can solve simple problems with equations. You know the notation for functions, are able to read the values of a function from a graph, and compute values of a given function using the functions expression. You recognise the equation of a line, are able to draw the line by using it, and you can determine the equation of a line from a picture.
Further information
The course is meant to be taken before compulsory mathematical studies in technology. The course also offers good mathematical acquirements for studies on other fields than technology.
Enrollment
01.08.2023 - 24.08.2023
Timing
21.08.2023 - 15.10.2023
Number of ECTS credits allocated
3 op
Mode of delivery
Contact teaching
Unit
School of Technology
Campus
Main Campus
Teaching languages
- Finnish
Seats
0 - 40
Degree programmes
- Bachelor's Degree Programme in Logistics
Teachers
- Antti Kosonen
Groups
-
ZJATLS23S1Avoin amk, Logistiikka, Päivä
-
TLS23S1Logistiikka - tutkinto-ohjelma (AMK)
Objective
Course purpose
During this course you rehearse and reinforce mathematical knowledge and skills needed in the beginning of your studies.
Course competences
EUR-ACE: Knowledge and understanding
Knowledge and understanding of the mathematics and other basic sciences underlying their engineering specialisation, at a level necessary to achieve the other programme outcomes.
Learning outcomes
After completing this course you recall basic algebraic operations and rules for numbers and symbols, and formulas related to common geometric shapes. You understand the difference between an expression and an equation. You are able to apply what you have learned to solve simple problems related to your own field of study.
Content
Basic algebraic operations, the notion of square root, rules for exponents, simplification of polynomial expressions and simple rational expressions, simple linear and quadratic polynomial equations, percentages, simple geometry and trigonometry for right triangles, basics of functions, verbal problems.
Location and time
The course will be implemented from August 21, 2023 to October 15, 2023.
Materials
The material required for completing the course is available in the Moodle workspace of the course.
Teaching methods
Face-to-face learning: Lessons at Rajakatu campus
Independent studying with written material and weekly online tutoring sessions
Employer connections
-
Exam schedules
Supervised final exam during week 41 (October 9, 2023 - October 15, 2023)
International connections
-
Completion alternatives
- Hybrid implementation (online) at the same time in autumn 2023
- Online course at one's own pace
Student workload
Computational workload: 3 credits * 27 hours/credit = 81 hours, of which
- lessons approximately 21 hours
- exams and tests approximately 3 hours
- independent work approximately 57 hours
Content scheduling
The schedule will be specified at the beginning of the course, but the content is roughly covered in the following order on a weekly basis:
- rules of calculation, powers, and square roots
- polynomials and rational expressions
- equations
- percentage calculations and problems
- right triangle, areas, and volumes
- function notation, lines
Further information
The assessment of the course is based on the tests completed independently on the Moodle learning platform and a supervised final exam.
Evaluation scale
Pass/Fail
Assessment criteria, approved/failed
You are able to simplify simple polynomial- and rational expressions and evaluate expressions numerically. You recognise the difference between an expression and an equation. You can explain how simplifying an expression differs from the process of solving an equation. You are able to solve simple linear and quadratic polynomial equations. You can solve the edges and angles of right triangles. You can solve simple problems with equations. You know the notation for functions, are able to read the values of a function from a graph, and compute values of a given function using the functions expression. You recognise the equation of a line, are able to draw the line by using it, and you can determine the equation of a line from a picture.
Further information
The course is meant to be taken before compulsory mathematical studies in technology. The course also offers good mathematical acquirements for studies on other fields than technology.
Enrollment
01.08.2023 - 24.08.2023
Timing
21.08.2023 - 08.10.2023
Number of ECTS credits allocated
3 op
Mode of delivery
Contact teaching
Unit
School of Technology
Campus
Main Campus
Teaching languages
- Finnish
Seats
0 - 20
Degree programmes
- Bachelor's Degree Programme in Construction and Civil Engineering
Teachers
- Kalle Niemi
Groups
-
TRY23S1Rakennus- ja yhdyskuntatekniikka (AMK)
-
ZJATRY23S1Avoin amk, Rakennus- ja yhdyskuntatekniikka, Päivä
Objective
Course purpose
During this course you rehearse and reinforce mathematical knowledge and skills needed in the beginning of your studies.
Course competences
EUR-ACE: Knowledge and understanding
Knowledge and understanding of the mathematics and other basic sciences underlying their engineering specialisation, at a level necessary to achieve the other programme outcomes.
Learning outcomes
After completing this course you recall basic algebraic operations and rules for numbers and symbols, and formulas related to common geometric shapes. You understand the difference between an expression and an equation. You are able to apply what you have learned to solve simple problems related to your own field of study.
Content
Basic algebraic operations, the notion of square root, rules for exponents, simplification of polynomial expressions and simple rational expressions, simple linear and quadratic polynomial equations, percentages, simple geometry and trigonometry for right triangles, basics of functions, verbal problems.
Location and time
Course is implemented between 21.8. - 8.10.
Materials
Videos in the learning environment, text files, automatic tests
Teaching methods
Guided exercises, booklet tasks, independent work, automatic tests, exam.
Exam schedules
Pass exam in the Exam studio between 23.10. - 30.11.
Student workload
Lectures, quided exercises and exam 30 h
Independent work and automatic tests 51 h
Content scheduling
Schedule will be agreed on the first contact lesson of the course.
Further information
Jatkuva palaute: automaattitestit
Läpäisykoe
Avoin AMK 5
Evaluation scale
Pass/Fail
Assessment criteria, approved/failed
You are able to simplify simple polynomial- and rational expressions and evaluate expressions numerically. You recognise the difference between an expression and an equation. You can explain how simplifying an expression differs from the process of solving an equation. You are able to solve simple linear and quadratic polynomial equations. You can solve the edges and angles of right triangles. You can solve simple problems with equations. You know the notation for functions, are able to read the values of a function from a graph, and compute values of a given function using the functions expression. You recognise the equation of a line, are able to draw the line by using it, and you can determine the equation of a line from a picture.
Further information
The course is meant to be taken before compulsory mathematical studies in technology. The course also offers good mathematical acquirements for studies on other fields than technology.
Enrollment
01.08.2023 - 24.08.2023
Timing
21.08.2023 - 19.12.2023
Number of ECTS credits allocated
3 op
Virtual portion
2 op
Mode of delivery
34 % Contact teaching, 66 % Distance learning
Unit
School of Technology
Campus
Main Campus
Teaching languages
- Finnish
Seats
0 - 20
Degree programmes
- Bachelor's Degree Programme in Energy and Environmental Technology
- Bachelor's Degree Programme in Mechanical Engineering
Teachers
- Antti Kosonen
Groups
-
ZJATKN23SMAvoin amk, Konetekniikka, Monimuoto
-
TKN23SMKonetekniikka (AMK)
-
TER23SMEnergia- ja ympäristötekniikka (AMK)
-
ZJATER23SMAvoin amk, Energia- ja ympäristötekniikka , monimuoto
Objective
Course purpose
During this course you rehearse and reinforce mathematical knowledge and skills needed in the beginning of your studies.
Course competences
EUR-ACE: Knowledge and understanding
Knowledge and understanding of the mathematics and other basic sciences underlying their engineering specialisation, at a level necessary to achieve the other programme outcomes.
Learning outcomes
After completing this course you recall basic algebraic operations and rules for numbers and symbols, and formulas related to common geometric shapes. You understand the difference between an expression and an equation. You are able to apply what you have learned to solve simple problems related to your own field of study.
Content
Basic algebraic operations, the notion of square root, rules for exponents, simplification of polynomial expressions and simple rational expressions, simple linear and quadratic polynomial equations, percentages, simple geometry and trigonometry for right triangles, basics of functions, verbal problems.
Location and time
The course will be implemented from August 21, 2023 to October 15, 2023.
Materials
The material required for completing the course is available in the Moodle workspace of the course.
Teaching methods
E-learning: Independent studying with written material and weekly online tutoring sessions
Employer connections
-
Exam schedules
Supervised final exam during week 41 (October 9, 2023 - October 15, 2023).
International connections
-
Completion alternatives
- Contact teaching (face-to-face instruction) at the same time in autumn 2023
- Online course at one's own pace.
Student workload
Computational workload: 3 credits * 27 hours/credit = 81 hours, of which
- guidance sessions approximately 8 hours
- exams and tests approximately 3 hours
- independent work approximately 70 hours
Content scheduling
The schedule will be specified at the beginning of the course, but the content is roughly covered in the following order on a weekly basis:
- rules of calculation, powers, and square roots
- polynomials and rational expressions
- equations
- percentage calculations and problems
- right triangle, areas, and volumes
- function notation, lines
Further information
The assessment of the course is based on the tests completed independently on the Moodle learning platform and a supervised final exam.
Evaluation scale
Pass/Fail
Assessment criteria, approved/failed
You are able to simplify simple polynomial- and rational expressions and evaluate expressions numerically. You recognise the difference between an expression and an equation. You can explain how simplifying an expression differs from the process of solving an equation. You are able to solve simple linear and quadratic polynomial equations. You can solve the edges and angles of right triangles. You can solve simple problems with equations. You know the notation for functions, are able to read the values of a function from a graph, and compute values of a given function using the functions expression. You recognise the equation of a line, are able to draw the line by using it, and you can determine the equation of a line from a picture.
Further information
The course is meant to be taken before compulsory mathematical studies in technology. The course also offers good mathematical acquirements for studies on other fields than technology.
Enrollment
01.08.2023 - 24.08.2023
Timing
21.08.2023 - 19.12.2023
Number of ECTS credits allocated
3 op
Virtual portion
3 op
Mode of delivery
Distance learning
Unit
School of Technology
Campus
Main Campus
Teaching languages
- Finnish
Seats
0 - 20
Degree programmes
- Bachelor's Degree Programme in Logistics
Teachers
- Ida Arhosalo
Groups
-
ZJATLS23SMMAvoin amk, Logistiikka, Monimuoto
-
TLS23SMMLogistiikka - tutkinto-ohjelma (AMK)
Objective
Course purpose
During this course you rehearse and reinforce mathematical knowledge and skills needed in the beginning of your studies.
Course competences
EUR-ACE: Knowledge and understanding
Knowledge and understanding of the mathematics and other basic sciences underlying their engineering specialisation, at a level necessary to achieve the other programme outcomes.
Learning outcomes
After completing this course you recall basic algebraic operations and rules for numbers and symbols, and formulas related to common geometric shapes. You understand the difference between an expression and an equation. You are able to apply what you have learned to solve simple problems related to your own field of study.
Content
Basic algebraic operations, the notion of square root, rules for exponents, simplification of polynomial expressions and simple rational expressions, simple linear and quadratic polynomial equations, percentages, simple geometry and trigonometry for right triangles, basics of functions, verbal problems.
Location and time
Course is implemented 1.8. - 31.12.
Materials
Videos and text files in the learning environment, automatic tests
Teaching methods
Learning videos, independent work, automatic tests, exam
Exam schedules
Schedule will be given on the front page of the learning environment. Registration for the exam is done according to the instructions on the first page.
Student workload
Independent work 79 h
Controlled exam 2 h
Evaluation scale
Pass/Fail
Assessment criteria, approved/failed
You are able to simplify simple polynomial- and rational expressions and evaluate expressions numerically. You recognise the difference between an expression and an equation. You can explain how simplifying an expression differs from the process of solving an equation. You are able to solve simple linear and quadratic polynomial equations. You can solve the edges and angles of right triangles. You can solve simple problems with equations. You know the notation for functions, are able to read the values of a function from a graph, and compute values of a given function using the functions expression. You recognise the equation of a line, are able to draw the line by using it, and you can determine the equation of a line from a picture.
Further information
The course is meant to be taken before compulsory mathematical studies in technology. The course also offers good mathematical acquirements for studies on other fields than technology.
Timing
01.08.2023 - 31.08.2023
Number of ECTS credits allocated
3 op
Mode of delivery
Contact teaching
Unit
School of Technology
Campus
Main Campus
Teaching languages
- Finnish
Degree programmes
- Bachelor's Degree Programme in Logistics
- Bachelor's Degree Programme in Construction and Civil Engineering
- Bachelor's Degree Programme in Electrical and Automation Engineering
- Bachelor's Degree Programme in Energy and Environmental Technology
- Bachelor's Degree Programme in Mechanical Engineering
- Bachelor's Degree Programme in Construction Management
- Bachelor's Degree Programme in Information and Communications Technology
Teachers
- Ida Arhosalo
Groups
-
TKN23S1Konetekniikka (AMK)
-
TER23S1Energia- ja ympäristötekniikka (AMK)
-
TRY23S1Rakennus- ja yhdyskuntatekniikka (AMK)
-
TLS23S1Logistiikka - tutkinto-ohjelma (AMK)
-
TKN23SAKonetekniikka (AMK)
-
TKN23SBKonetekniikka (AMK)
Objective
Course purpose
During this course you rehearse and reinforce mathematical knowledge and skills needed in the beginning of your studies.
Course competences
EUR-ACE: Knowledge and understanding
Knowledge and understanding of the mathematics and other basic sciences underlying their engineering specialisation, at a level necessary to achieve the other programme outcomes.
Learning outcomes
After completing this course you recall basic algebraic operations and rules for numbers and symbols, and formulas related to common geometric shapes. You understand the difference between an expression and an equation. You are able to apply what you have learned to solve simple problems related to your own field of study.
Content
Basic algebraic operations, the notion of square root, rules for exponents, simplification of polynomial expressions and simple rational expressions, simple linear and quadratic polynomial equations, percentages, simple geometry and trigonometry for right triangles, basics of functions, verbal problems.
Teaching methods
Toteutus lähtötasotestin hallinnointia varten.
Evaluation scale
0-5
Assessment criteria, approved/failed
You are able to simplify simple polynomial- and rational expressions and evaluate expressions numerically. You recognise the difference between an expression and an equation. You can explain how simplifying an expression differs from the process of solving an equation. You are able to solve simple linear and quadratic polynomial equations. You can solve the edges and angles of right triangles. You can solve simple problems with equations. You know the notation for functions, are able to read the values of a function from a graph, and compute values of a given function using the functions expression. You recognise the equation of a line, are able to draw the line by using it, and you can determine the equation of a line from a picture.
Further information
The course is meant to be taken before compulsory mathematical studies in technology. The course also offers good mathematical acquirements for studies on other fields than technology.
Enrollment
01.08.2023 - 24.08.2023
Timing
01.08.2023 - 15.10.2023
Number of ECTS credits allocated
3 op
Mode of delivery
Contact teaching
Unit
School of Technology
Campus
Main Campus
Teaching languages
- Finnish
Degree programmes
- Bachelor's Degree Programme in Electrical and Automation Engineering
Teachers
- Pekka Varis
Groups
-
TSA23SR1Sähkö- ja automaatiotekniikka (AMK)
-
TSA23SR2Sähkö- ja automaatiotekniikka (AMK)
Objective
Course purpose
During this course you rehearse and reinforce mathematical knowledge and skills needed in the beginning of your studies.
Course competences
EUR-ACE: Knowledge and understanding
Knowledge and understanding of the mathematics and other basic sciences underlying their engineering specialisation, at a level necessary to achieve the other programme outcomes.
Learning outcomes
After completing this course you recall basic algebraic operations and rules for numbers and symbols, and formulas related to common geometric shapes. You understand the difference between an expression and an equation. You are able to apply what you have learned to solve simple problems related to your own field of study.
Content
Basic algebraic operations, the notion of square root, rules for exponents, simplification of polynomial expressions and simple rational expressions, simple linear and quadratic polynomial equations, percentages, simple geometry and trigonometry for right triangles, basics of functions, verbal problems.
Location and time
Opintojakso toteutetaan viikoilla 35 - 41 (28.8. - 13.10.2023).
Materials
Opintojakson kirjallinen materiaali sekä mahdollinen videomateriaali julkaistaan opintojakson oppimisympäristössä opintojakson alussa.
Teaching methods
Oppitunnit
Viikkotestit
Itsenäistä opiskelua
Itsenäiset laskuharjoitukset
Valvottu loppukoe
Exam schedules
Testien sekä uusintojen ajankohdat julkaistaan oppimisympäristössä opintjakson alussa.
Student workload
Oppitunnit ja materiaalin läpikäynti (luennot + tuntiharjoitukset) 40 h
Kotitehtävät + harjoitustestit 25 h
Pakolliset testit + koe 16 h
Further information
Opintojakso suoritetaan läpäisytesteillä (3 kpl) . Hyväksyttyyn suoritukseen vaaditaan 80 % oikein. Testien lisäksi täytyy läpäistä loppukoe (80 % oikein). Jotta testiin voi osallistua, täytyy saada testialueen kotitehtävistä vähintään tehtävissä ilmoitettu minimipistemäärä.
Evaluation scale
Pass/Fail
Assessment criteria, approved/failed
You are able to simplify simple polynomial- and rational expressions and evaluate expressions numerically. You recognise the difference between an expression and an equation. You can explain how simplifying an expression differs from the process of solving an equation. You are able to solve simple linear and quadratic polynomial equations. You can solve the edges and angles of right triangles. You can solve simple problems with equations. You know the notation for functions, are able to read the values of a function from a graph, and compute values of a given function using the functions expression. You recognise the equation of a line, are able to draw the line by using it, and you can determine the equation of a line from a picture.
Further information
The course is meant to be taken before compulsory mathematical studies in technology. The course also offers good mathematical acquirements for studies on other fields than technology.
Timing
11.04.2023 - 31.05.2023
Number of ECTS credits allocated
3 op
Mode of delivery
Contact teaching
Unit
School of Technology
Teaching languages
- Finnish
Degree programmes
- Bachelor's Degree Programme in Energy and Environmental Technology
- Bachelor's Degree Programme in Mechanical Engineering
Teachers
- Anne Rantakaulio
Groups
-
ZJA23KTKVOAvoin Amk, tekniikka, Valintaopintojakso, Kone-ja Energiatekniikka, Monimuoto
Objective
Course purpose
During this course you rehearse and reinforce mathematical knowledge and skills needed in the beginning of your studies.
Course competences
EUR-ACE: Knowledge and understanding
Knowledge and understanding of the mathematics and other basic sciences underlying their engineering specialisation, at a level necessary to achieve the other programme outcomes.
Learning outcomes
After completing this course you recall basic algebraic operations and rules for numbers and symbols, and formulas related to common geometric shapes. You understand the difference between an expression and an equation. You are able to apply what you have learned to solve simple problems related to your own field of study.
Content
Basic algebraic operations, the notion of square root, rules for exponents, simplification of polynomial expressions and simple rational expressions, simple linear and quadratic polynomial equations, percentages, simple geometry and trigonometry for right triangles, basics of functions, verbal problems.
Location and time
The course will be open on 10.4. The course begins on 11.4. by introduction in Zoom in https://jamk.zoom.us/j/61422159156, Passcode: 810239 at 17:00 - 18:00.
The course ends on 29.5. at 23:55.
The final exam is on 23.5. at 17:00 - 19:30 in Zoom.
Materials
The material is in the learning environment, and it consists of files, videos, exercises by pen and paper and automatic tests.
When you get enough points of automatic tests and you have also done the following exercises in pdf-files, you are able to answer to the passing test. There is the time limit of one hour in the passing test. You can do every passing test three times.
You must pass the passing tests before the final exam.
Teaching methods
Notice! This implementation is an elective course for those intending to become multimodal students in energy and environmental engineering and mechanical engineering. Other students will be directed to other implementations of the corresponding course.
Course is web-based self-directed course in Moodle environment. There is no contact lessons on this course.
Guiding is available for use of the environment if needed on 11.4., 18.4., 24.4, 3.5. and the practices in exam 9.5., 15.5. and 22.5. at 17:00 - 18:00 in Zoom in the address of the course.
Exam schedules
You must pass the three passing tests before the final exam. Register for the final exam in Moodle in advance no later than May 19!
Final exam is in Zoom on 23.5. at 17:00 - 19:30. The final exam cannot be repeated.
Student workload
Independent work 79 h, exam 2 h.
Further information
Each passing test gives in maximum 12 points. The maximum of the final exam is 64 points.
The applicant must obtain at least 50 points of the course to become chosen. The applicants are chosen in order of points, the highest score first.
The course is passed if the point of each passing test is at least 9 points and the points of the final exam are at least 51.
Evaluation scale
Pass/Fail
Assessment criteria, approved/failed
You are able to simplify simple polynomial- and rational expressions and evaluate expressions numerically. You recognise the difference between an expression and an equation. You can explain how simplifying an expression differs from the process of solving an equation. You are able to solve simple linear and quadratic polynomial equations. You can solve the edges and angles of right triangles. You can solve simple problems with equations. You know the notation for functions, are able to read the values of a function from a graph, and compute values of a given function using the functions expression. You recognise the equation of a line, are able to draw the line by using it, and you can determine the equation of a line from a picture.
Further information
The course is meant to be taken before compulsory mathematical studies in technology. The course also offers good mathematical acquirements for studies on other fields than technology.
Enrollment
01.11.2022 - 16.01.2023
Timing
02.01.2023 - 19.05.2023
Number of ECTS credits allocated
3 op
Virtual portion
3 op
Mode of delivery
Distance learning
Unit
School of Technology
Campus
Main Campus
Teaching languages
- Finnish
Seats
0 - 80
Degree programmes
- Bachelor's Degree Programme in Logistics
- Bachelor's Degree Programme in Electrical and Automation Engineering
- Bachelor's Degree Programme in Construction Management
Teachers
- Ida Arhosalo
Teacher in charge
Ida Arhosalo
Groups
-
TLS23KMMLogistiikka - tutkinto-ohjelma (AMK)
-
ZJATRM23KMMAvoin amk, AMK-polut, Rakennusmestari, Monimuoto
-
TRM23KMMRakennusmestari (AMK)
-
ZJATLS23KMMAvoin amk, AMK-polut, Logistiikka, Monimuoto
-
TSA23KMInsinööri (AMK), sähkö- ja automaatiotekniikka,monimuototeutus
-
ZJA21STVLAvoin amk,Korkeakoulupolkuopinnot, Valtakunnallinen, Logistiikka
-
ZJATSA23KMAvoin amk, AMK-polut, Sähkö-ja automaatiotekniikka, Monimuoto
Objective
Course purpose
During this course you rehearse and reinforce mathematical knowledge and skills needed in the beginning of your studies.
Course competences
EUR-ACE: Knowledge and understanding
Knowledge and understanding of the mathematics and other basic sciences underlying their engineering specialisation, at a level necessary to achieve the other programme outcomes.
Learning outcomes
After completing this course you recall basic algebraic operations and rules for numbers and symbols, and formulas related to common geometric shapes. You understand the difference between an expression and an equation. You are able to apply what you have learned to solve simple problems related to your own field of study.
Content
Basic algebraic operations, the notion of square root, rules for exponents, simplification of polynomial expressions and simple rational expressions, simple linear and quadratic polynomial equations, percentages, simple geometry and trigonometry for right triangles, basics of functions, verbal problems.
Location and time
Course is implemented 1.8. - 31.12.
Materials
Videos and text files in the learning environment, automatic tests
Teaching methods
Learning videos, independent work, automatic tests, exam
Exam schedules
Schedule will be given on the front page of the learning environment. Registration for the exam is done according to the instructions on the first page.
Student workload
Independent work 79 h
Controlled exam 2 h
Evaluation scale
Pass/Fail
Assessment criteria, approved/failed
You are able to simplify simple polynomial- and rational expressions and evaluate expressions numerically. You recognise the difference between an expression and an equation. You can explain how simplifying an expression differs from the process of solving an equation. You are able to solve simple linear and quadratic polynomial equations. You can solve the edges and angles of right triangles. You can solve simple problems with equations. You know the notation for functions, are able to read the values of a function from a graph, and compute values of a given function using the functions expression. You recognise the equation of a line, are able to draw the line by using it, and you can determine the equation of a line from a picture.
Further information
The course is meant to be taken before compulsory mathematical studies in technology. The course also offers good mathematical acquirements for studies on other fields than technology.
Timing
11.11.2022 - 13.01.2023
Number of ECTS credits allocated
3 op
Mode of delivery
Contact teaching
Unit
School of Technology
Campus
Main Campus
Teaching languages
- Finnish
Degree programmes
- Bachelor's Degree Programme in Logistics
- Bachelor's Degree Programme in Construction and Civil Engineering
- Bachelor's Degree Programme in Electrical and Automation Engineering
- Bachelor's Degree Programme in Energy and Environmental Technology
- Bachelor's Degree Programme in Mechanical Engineering
- Bachelor's Degree Programme in Information and Communications Technology
Teachers
- Antti Kosonen
Groups
-
ZJAG22STRAvoin AMK,Korkeakoulupolku, Korkeakoulupolku, Rakennus, Gradia
-
ZJAG22STLAvoin AMK,Korkeakoulupolku, Logistiikka, Gradia
-
ZJAG22STKAvoin AMK,Korkeakoulupolku, Konetekniikka, Gradia
-
ZJAG22STSAvoin AMK,Korkeakoulupolku,Sähkö- ja automaatiotek, Gradia
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ZJAG22STVAvoin AMK,Korkeakoulupolku,Tieto-ja viestintätek, Gradia
Objective
Course purpose
During this course you rehearse and reinforce mathematical knowledge and skills needed in the beginning of your studies.
Course competences
EUR-ACE: Knowledge and understanding
Knowledge and understanding of the mathematics and other basic sciences underlying their engineering specialisation, at a level necessary to achieve the other programme outcomes.
Learning outcomes
After completing this course you recall basic algebraic operations and rules for numbers and symbols, and formulas related to common geometric shapes. You understand the difference between an expression and an equation. You are able to apply what you have learned to solve simple problems related to your own field of study.
Content
Basic algebraic operations, the notion of square root, rules for exponents, simplification of polynomial expressions and simple rational expressions, simple linear and quadratic polynomial equations, percentages, simple geometry and trigonometry for right triangles, basics of functions, verbal problems.
Location and time
The course is implemented at Gradia Viitaniemi campus in autumn 2022.
Materials
Material available in course's Moodle e-learning environment
Teaching methods
Contact teaching, guided exercises
Exam schedules
Will be agreed at the beginning of the course
Student workload
3 credits corresponds to 81 hours of work
Further information
Tests in the Moodle environment / exam
Evaluation scale
Pass/Fail
Assessment criteria, approved/failed
You are able to simplify simple polynomial- and rational expressions and evaluate expressions numerically. You recognise the difference between an expression and an equation. You can explain how simplifying an expression differs from the process of solving an equation. You are able to solve simple linear and quadratic polynomial equations. You can solve the edges and angles of right triangles. You can solve simple problems with equations. You know the notation for functions, are able to read the values of a function from a graph, and compute values of a given function using the functions expression. You recognise the equation of a line, are able to draw the line by using it, and you can determine the equation of a line from a picture.
Further information
The course is meant to be taken before compulsory mathematical studies in technology. The course also offers good mathematical acquirements for studies on other fields than technology.
Enrollment
01.08.2022 - 31.05.2023
Timing
30.08.2022 - 31.07.2023
Number of ECTS credits allocated
3 op
Virtual portion
3 op
Mode of delivery
Distance learning
Unit
School of Technology
Campus
Main Campus
Teaching languages
- Finnish
Seats
0 - 150
Degree programmes
- Bachelor's Degree Programme in Logistics
- Bachelor's Degree Programme in Construction and Civil Engineering
Teachers
- Ida Arhosalo
Teacher in charge
Ida Arhosalo
Groups
-
ZJA23KTNO3Avoin amk, Nonstop 3, Verkko
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LOGRAKVERKKOLogistiikan ja rakentamisen verkko-opetus
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ZJA22STNO1Avoin amk, Nonstop 1, Verkko
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ZJA22STNO2Avoin amk, Nonstop 2, Verkko
Objective
Course purpose
During this course you rehearse and reinforce mathematical knowledge and skills needed in the beginning of your studies.
Course competences
EUR-ACE: Knowledge and understanding
Knowledge and understanding of the mathematics and other basic sciences underlying their engineering specialisation, at a level necessary to achieve the other programme outcomes.
Learning outcomes
After completing this course you recall basic algebraic operations and rules for numbers and symbols, and formulas related to common geometric shapes. You understand the difference between an expression and an equation. You are able to apply what you have learned to solve simple problems related to your own field of study.
Content
Basic algebraic operations, the notion of square root, rules for exponents, simplification of polynomial expressions and simple rational expressions, simple linear and quadratic polynomial equations, percentages, simple geometry and trigonometry for right triangles, basics of functions, verbal problems.
Location and time
Non-stop during semester 2022-2023
Materials
Videos and text files in the learning environment, automatic tests
Teaching methods
Learning videos, independent work, automatic tests, consultation webinars, exam
Exam schedules
Schedule will be given on the front page of the learning environment.
Student workload
Independent work 79 h
Controlled exam 2 h
Further information
Avoin amk: 50 paikkaa
Evaluation scale
Pass/Fail
Assessment criteria, approved/failed
You are able to simplify simple polynomial- and rational expressions and evaluate expressions numerically. You recognise the difference between an expression and an equation. You can explain how simplifying an expression differs from the process of solving an equation. You are able to solve simple linear and quadratic polynomial equations. You can solve the edges and angles of right triangles. You can solve simple problems with equations. You know the notation for functions, are able to read the values of a function from a graph, and compute values of a given function using the functions expression. You recognise the equation of a line, are able to draw the line by using it, and you can determine the equation of a line from a picture.
Further information
The course is meant to be taken before compulsory mathematical studies in technology. The course also offers good mathematical acquirements for studies on other fields than technology.
Enrollment
01.08.2022 - 25.08.2022
Timing
29.08.2022 - 14.10.2022
Number of ECTS credits allocated
3 op
Virtual portion
3 op
Mode of delivery
Distance learning
Unit
School of Technology
Teaching languages
- Finnish
Seats
0 - 70
Degree programmes
- Bachelor's Degree Programme in Information and Communications Technology
Teachers
- Sirpa Alestalo
Groups
-
TTV22S5Tieto- ja viestintätekniikka (AMK)
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ZJATTV22S2Avoin amk, Tieto- ja viestintätekniikka, Päivä
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ZJATTV22S5Avoin amk, Tieto- ja viestintätekniikka, Päivä
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TTV22S2Tieto- ja viestintätekniikka (AMK)
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TTV22S3Tieto- ja viestintätekniikka (AMK)
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TTV22S1Tieto- ja viestintätekniikka (AMK)
-
TTV22S4Tieto- ja viestintätekniikka (AMK)
Objective
Course purpose
During this course you rehearse and reinforce mathematical knowledge and skills needed in the beginning of your studies.
Course competences
EUR-ACE: Knowledge and understanding
Knowledge and understanding of the mathematics and other basic sciences underlying their engineering specialisation, at a level necessary to achieve the other programme outcomes.
Learning outcomes
After completing this course you recall basic algebraic operations and rules for numbers and symbols, and formulas related to common geometric shapes. You understand the difference between an expression and an equation. You are able to apply what you have learned to solve simple problems related to your own field of study.
Content
Basic algebraic operations, the notion of square root, rules for exponents, simplification of polynomial expressions and simple rational expressions, simple linear and quadratic polynomial equations, percentages, simple geometry and trigonometry for right triangles, basics of functions, verbal problems.
Location and time
Opintojakso toteutetaan viikoilla 35 - 41 (29.8. - 14.10.2022) Lutakon kampuksella Dynamolla
Materials
Opintojakson kirjallinen materiaali sekä mahdollinen videomateriaali julkaistaan opintojakson oppimisympäristössä opintojakson alussa.
Teaching methods
Virtuaalitoteutus.
Opintojakso opiskellaan itsenäisesti Moodlessa olevan materiaalin avulla.
Itsenäiset laskuharjoitukset.
Opintojaksolla ei ole kiinteitä tunteja lukujärjestyksessä, mutta ohjausta saa opintojakson Teams-kanavalla.
Exam schedules
Testien sekä uusintojen ajankohdat julkaistaan oppimisympäristössä opintojakson alussa.
Student workload
Itsenäinen opiskelu ja harjoitukset 54 h
Testeihin ja loppukokeeseen valmistautuminen sekä testit +koe 27 h
Further information
Opintojakso suoritetaan läpäisytesteillä (3 kpl) . Hyväksyttyyn suoritukseen vaaditaan 80 % oikein. Testien lisäksi täytyy läpäistä loppukoe (80 % oikein). Jotta testiin voi osallistua, täytyy saada testialueen kotitehtävistä vähintään tehtävissä ilmoitettu minimipistemäärä.
Loppukoe pidetään valvottuna Dynamolla.
Toteutus soveltuu parhaiten lukion käyneille, joilla on tarvetta kerrata matematiikan perusteita.
Avoin AMK 5 paikkaa
Evaluation scale
Pass/Fail
Assessment criteria, approved/failed
You are able to simplify simple polynomial- and rational expressions and evaluate expressions numerically. You recognise the difference between an expression and an equation. You can explain how simplifying an expression differs from the process of solving an equation. You are able to solve simple linear and quadratic polynomial equations. You can solve the edges and angles of right triangles. You can solve simple problems with equations. You know the notation for functions, are able to read the values of a function from a graph, and compute values of a given function using the functions expression. You recognise the equation of a line, are able to draw the line by using it, and you can determine the equation of a line from a picture.
Further information
The course is meant to be taken before compulsory mathematical studies in technology. The course also offers good mathematical acquirements for studies on other fields than technology.
Enrollment
01.08.2022 - 25.08.2022
Timing
29.08.2022 - 14.10.2022
Number of ECTS credits allocated
3 op
Mode of delivery
Contact teaching
Unit
School of Technology
Campus
Lutakko Campus
Teaching languages
- English
Seats
0 - 35
Degree programmes
- Bachelor's Degree Programme in Information and Communications Technology
Teachers
- Ville Arvio
Groups
-
TIC22S1Bachelor's Degree Programme in Information and Communications Technology
Objective
Course purpose
During this course you rehearse and reinforce mathematical knowledge and skills needed in the beginning of your studies.
Course competences
EUR-ACE: Knowledge and understanding
Knowledge and understanding of the mathematics and other basic sciences underlying their engineering specialisation, at a level necessary to achieve the other programme outcomes.
Learning outcomes
After completing this course you recall basic algebraic operations and rules for numbers and symbols, and formulas related to common geometric shapes. You understand the difference between an expression and an equation. You are able to apply what you have learned to solve simple problems related to your own field of study.
Content
Basic algebraic operations, the notion of square root, rules for exponents, simplification of polynomial expressions and simple rational expressions, simple linear and quadratic polynomial equations, percentages, simple geometry and trigonometry for right triangles, basics of functions, verbal problems.
Evaluation scale
0-5
Assessment criteria, approved/failed
You are able to simplify simple polynomial- and rational expressions and evaluate expressions numerically. You recognise the difference between an expression and an equation. You can explain how simplifying an expression differs from the process of solving an equation. You are able to solve simple linear and quadratic polynomial equations. You can solve the edges and angles of right triangles. You can solve simple problems with equations. You know the notation for functions, are able to read the values of a function from a graph, and compute values of a given function using the functions expression. You recognise the equation of a line, are able to draw the line by using it, and you can determine the equation of a line from a picture.
Further information
The course is meant to be taken before compulsory mathematical studies in technology. The course also offers good mathematical acquirements for studies on other fields than technology.
Enrollment
01.08.2022 - 25.08.2022
Timing
29.08.2022 - 14.10.2022
Number of ECTS credits allocated
3 op
Mode of delivery
Contact teaching
Unit
School of Technology
Campus
Lutakko Campus
Teaching languages
- Finnish
Seats
0 - 35
Degree programmes
- Bachelor's Degree Programme in Information and Communications Technology
Teachers
- Sirpa Alestalo
Groups
-
ZJATTV22S2Avoin amk, Tieto- ja viestintätekniikka, Päivä
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TTV22S2Tieto- ja viestintätekniikka (AMK)
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TTV22S1Tieto- ja viestintätekniikka (AMK)
Objective
Course purpose
During this course you rehearse and reinforce mathematical knowledge and skills needed in the beginning of your studies.
Course competences
EUR-ACE: Knowledge and understanding
Knowledge and understanding of the mathematics and other basic sciences underlying their engineering specialisation, at a level necessary to achieve the other programme outcomes.
Learning outcomes
After completing this course you recall basic algebraic operations and rules for numbers and symbols, and formulas related to common geometric shapes. You understand the difference between an expression and an equation. You are able to apply what you have learned to solve simple problems related to your own field of study.
Content
Basic algebraic operations, the notion of square root, rules for exponents, simplification of polynomial expressions and simple rational expressions, simple linear and quadratic polynomial equations, percentages, simple geometry and trigonometry for right triangles, basics of functions, verbal problems.
Location and time
Opintojakso toteutetaan viikoilla 35 - 41 (29.8. - 14.10.2022) Lutakon kampuksella Dynamolla
Materials
Opintojakson kirjallinen materiaali sekä mahdollinen videomateriaali julkaistaan opintojakson oppimisympäristössä opintojakson alussa.
Teaching methods
Kontaktiopetus 3+ 2 h/viikko , joka sisältää lyhyitä luentoja sekä laskuharjoituksia.
Viikkotestit
Itsenäistä opiskelua
Itsenäiset laskuharjoitukset
Exam schedules
Testien sekä uusintojen ajankohdat julkaistaan oppimisympäristössä opintjakson alussa.
Student workload
Kontaktiopetus n. 30 h
Itsenäiset harjoitukset 24 h
Itsenäinen opiskelu, testeihin valmistautuminen sekä testit 27 h
Further information
Opintojakso suoritetaan läpäisytesteillä (3 kpl) . Hyväksyttyyn suoritukseen vaaditaan 80 % oikein. Testien lisäksi täytyy läpäistä loppukoe (80 % oikein). Jotta testiin voi osallistua, täytyy saada testialueen kotitehtävistä vähintään tehtävissä ilmoitettu minimipistemäärä.
Avoin AMK 5 paikkaa
Evaluation scale
Pass/Fail
Assessment criteria, approved/failed
You are able to simplify simple polynomial- and rational expressions and evaluate expressions numerically. You recognise the difference between an expression and an equation. You can explain how simplifying an expression differs from the process of solving an equation. You are able to solve simple linear and quadratic polynomial equations. You can solve the edges and angles of right triangles. You can solve simple problems with equations. You know the notation for functions, are able to read the values of a function from a graph, and compute values of a given function using the functions expression. You recognise the equation of a line, are able to draw the line by using it, and you can determine the equation of a line from a picture.
Further information
The course is meant to be taken before compulsory mathematical studies in technology. The course also offers good mathematical acquirements for studies on other fields than technology.
Enrollment
01.08.2022 - 25.08.2022
Timing
29.08.2022 - 14.10.2022
Number of ECTS credits allocated
3 op
Mode of delivery
Contact teaching
Unit
School of Technology
Campus
Lutakko Campus
Teaching languages
- Finnish
Seats
0 - 35
Degree programmes
- Bachelor's Degree Programme in Information and Communications Technology
Teachers
- Sirpa Alestalo
Groups
-
TTV22S5Tieto- ja viestintätekniikka (AMK)
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ZJATTV22S5Avoin amk, Tieto- ja viestintätekniikka, Päivä
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TTV22S3Tieto- ja viestintätekniikka (AMK)
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TTV22S4Tieto- ja viestintätekniikka (AMK)
Objective
Course purpose
During this course you rehearse and reinforce mathematical knowledge and skills needed in the beginning of your studies.
Course competences
EUR-ACE: Knowledge and understanding
Knowledge and understanding of the mathematics and other basic sciences underlying their engineering specialisation, at a level necessary to achieve the other programme outcomes.
Learning outcomes
After completing this course you recall basic algebraic operations and rules for numbers and symbols, and formulas related to common geometric shapes. You understand the difference between an expression and an equation. You are able to apply what you have learned to solve simple problems related to your own field of study.
Content
Basic algebraic operations, the notion of square root, rules for exponents, simplification of polynomial expressions and simple rational expressions, simple linear and quadratic polynomial equations, percentages, simple geometry and trigonometry for right triangles, basics of functions, verbal problems.
Location and time
Opintojakso toteutetaan viikoilla 35 - 41 (29.8. - 14.10.2022) Lutakon kampuksella Dynamolla
Materials
Opintojakson kirjallinen materiaali sekä mahdollinen videomateriaali julkaistaan opintojakson oppimisympäristössä opintojakson alussa.
Teaching methods
Kontaktiopetus 3+ 2 h/viikko , joka sisältää lyhyitä luentoja sekä laskuharjoituksia.
Viikkotestit
Itsenäistä opiskelua
Itsenäiset laskuharjoitukset
Exam schedules
Testien sekä uusintojen ajankohdat julkaistaan oppimisympäristössä opintjakson alussa.
Student workload
Kontaktiopetus n. 30 h
Itsenäiset harjoitukset 24 h
Itsenäinen opiskelu, testeihin valmistautuminen sekä testit 27 h
Further information
Opintojakso suoritetaan läpäisytesteillä (3 kpl) . Hyväksyttyyn suoritukseen vaaditaan 80 % oikein. Testien lisäksi täytyy läpäistä loppukoe (80 % oikein). Jotta testiin voi osallistua, täytyy saada testialueen kotitehtävistä vähintään tehtävissä ilmoitettu minimipistemäärä.
Avoin AMK 5 paikkaa
Evaluation scale
Pass/Fail
Assessment criteria, approved/failed
You are able to simplify simple polynomial- and rational expressions and evaluate expressions numerically. You recognise the difference between an expression and an equation. You can explain how simplifying an expression differs from the process of solving an equation. You are able to solve simple linear and quadratic polynomial equations. You can solve the edges and angles of right triangles. You can solve simple problems with equations. You know the notation for functions, are able to read the values of a function from a graph, and compute values of a given function using the functions expression. You recognise the equation of a line, are able to draw the line by using it, and you can determine the equation of a line from a picture.
Further information
The course is meant to be taken before compulsory mathematical studies in technology. The course also offers good mathematical acquirements for studies on other fields than technology.
Enrollment
01.08.2022 - 25.08.2022
Timing
29.08.2022 - 14.10.2022
Number of ECTS credits allocated
3 op
Virtual portion
3 op
Mode of delivery
Distance learning
Unit
School of Technology
Campus
Lutakko Campus
Teaching languages
- Finnish
Seats
0 - 70
Degree programmes
- Bachelor's Degree Programme in Information and Communications Technology
Teachers
- Ville Arvio
Groups
-
ZJATTV22SMAvoin amk, Tieto- ja viestintätekniikka, Monimuoto
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TTV22SMTieto- ja viestintätekniikka (AMK)
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TTV22SM2Tieto- ja viestintätekniikka (AMK)
Objective
Course purpose
During this course you rehearse and reinforce mathematical knowledge and skills needed in the beginning of your studies.
Course competences
EUR-ACE: Knowledge and understanding
Knowledge and understanding of the mathematics and other basic sciences underlying their engineering specialisation, at a level necessary to achieve the other programme outcomes.
Learning outcomes
After completing this course you recall basic algebraic operations and rules for numbers and symbols, and formulas related to common geometric shapes. You understand the difference between an expression and an equation. You are able to apply what you have learned to solve simple problems related to your own field of study.
Content
Basic algebraic operations, the notion of square root, rules for exponents, simplification of polynomial expressions and simple rational expressions, simple linear and quadratic polynomial equations, percentages, simple geometry and trigonometry for right triangles, basics of functions, verbal problems.
Evaluation scale
0-5
Assessment criteria, approved/failed
You are able to simplify simple polynomial- and rational expressions and evaluate expressions numerically. You recognise the difference between an expression and an equation. You can explain how simplifying an expression differs from the process of solving an equation. You are able to solve simple linear and quadratic polynomial equations. You can solve the edges and angles of right triangles. You can solve simple problems with equations. You know the notation for functions, are able to read the values of a function from a graph, and compute values of a given function using the functions expression. You recognise the equation of a line, are able to draw the line by using it, and you can determine the equation of a line from a picture.
Further information
The course is meant to be taken before compulsory mathematical studies in technology. The course also offers good mathematical acquirements for studies on other fields than technology.
Enrollment
01.08.2022 - 25.08.2022
Timing
22.08.2022 - 30.09.2022
Number of ECTS credits allocated
3 op
Mode of delivery
Contact teaching
Unit
School of Technology
Campus
Main Campus
Teaching languages
- Finnish
Seats
0 - 40
Degree programmes
- Bachelor's Degree Programme in Logistics
Teachers
- Kalle Niemi
Groups
-
TLS22S1Logistiikka - tutkinto-ohjelma (AMK)
-
ZJATLS22S1Avoin amk, Logistiikka, Päivä
Objective
Course purpose
During this course you rehearse and reinforce mathematical knowledge and skills needed in the beginning of your studies.
Course competences
EUR-ACE: Knowledge and understanding
Knowledge and understanding of the mathematics and other basic sciences underlying their engineering specialisation, at a level necessary to achieve the other programme outcomes.
Learning outcomes
After completing this course you recall basic algebraic operations and rules for numbers and symbols, and formulas related to common geometric shapes. You understand the difference between an expression and an equation. You are able to apply what you have learned to solve simple problems related to your own field of study.
Content
Basic algebraic operations, the notion of square root, rules for exponents, simplification of polynomial expressions and simple rational expressions, simple linear and quadratic polynomial equations, percentages, simple geometry and trigonometry for right triangles, basics of functions, verbal problems.
Location and time
Weeks 34 - 40
Materials
The written material of the course as well as possible video material will be published in the learning environment of the course at the beginning of the course.
Teaching methods
Teaching 2+2 hours / week
Self-study
Exam schedules
The dates of the exams are published in the learning environment at the beginning of the course.
Student workload
Contact teaching and exams approx. 30 h
Independent study approx. 50 h
Evaluation scale
Pass/Fail
Assessment criteria, approved/failed
You are able to simplify simple polynomial- and rational expressions and evaluate expressions numerically. You recognise the difference between an expression and an equation. You can explain how simplifying an expression differs from the process of solving an equation. You are able to solve simple linear and quadratic polynomial equations. You can solve the edges and angles of right triangles. You can solve simple problems with equations. You know the notation for functions, are able to read the values of a function from a graph, and compute values of a given function using the functions expression. You recognise the equation of a line, are able to draw the line by using it, and you can determine the equation of a line from a picture.
Further information
The course is meant to be taken before compulsory mathematical studies in technology. The course also offers good mathematical acquirements for studies on other fields than technology.
Enrollment
01.08.2022 - 25.08.2022
Timing
22.08.2022 - 14.10.2022
Number of ECTS credits allocated
3 op
Mode of delivery
Contact teaching
Unit
School of Technology
Campus
Main Campus
Teaching languages
- English
Seats
0 - 30
Degree programmes
- Bachelor's Degree Programme in Purchasing and Logistics Engineering
Teachers
- Ida Arhosalo
Teacher in charge
Ida Arhosalo
Groups
-
TLP22S1Bachelor's Degree Programme in Purchasing and Logistics Engineering
-
ZJATLP22S1Avoin amk, Purchasing and Logistics Engineering, Päivä
-
TLP22VSBachelor's Degree Programme in Purchasing and Logistics Engineering (AMK) vaihto-opiskelu/Exchange studies
Objective
Course purpose
During this course you rehearse and reinforce mathematical knowledge and skills needed in the beginning of your studies.
Course competences
EUR-ACE: Knowledge and understanding
Knowledge and understanding of the mathematics and other basic sciences underlying their engineering specialisation, at a level necessary to achieve the other programme outcomes.
Learning outcomes
After completing this course you recall basic algebraic operations and rules for numbers and symbols, and formulas related to common geometric shapes. You understand the difference between an expression and an equation. You are able to apply what you have learned to solve simple problems related to your own field of study.
Content
Basic algebraic operations, the notion of square root, rules for exponents, simplification of polynomial expressions and simple rational expressions, simple linear and quadratic polynomial equations, percentages, simple geometry and trigonometry for right triangles, basics of functions, verbal problems.
Location and time
Weeks 35 - 41
Materials
The written material of the course as well as possible video material will be published in the learning environment of the course at the beginning of the course.
Teaching methods
Teaching 2+2 hours / week
Self-study
Exam schedules
The dates of the exams are published in the learning environment at the beginning of the course.
Student workload
Contact teaching and exams approx. 30 h
Independent study approx. 50 h
Evaluation scale
Pass/Fail
Assessment criteria, approved/failed
You are able to simplify simple polynomial- and rational expressions and evaluate expressions numerically. You recognise the difference between an expression and an equation. You can explain how simplifying an expression differs from the process of solving an equation. You are able to solve simple linear and quadratic polynomial equations. You can solve the edges and angles of right triangles. You can solve simple problems with equations. You know the notation for functions, are able to read the values of a function from a graph, and compute values of a given function using the functions expression. You recognise the equation of a line, are able to draw the line by using it, and you can determine the equation of a line from a picture.
Further information
The course is meant to be taken before compulsory mathematical studies in technology. The course also offers good mathematical acquirements for studies on other fields than technology.
Enrollment
01.08.2022 - 25.08.2022
Timing
22.08.2022 - 07.10.2022
Number of ECTS credits allocated
3 op
Mode of delivery
Contact teaching
Unit
School of Technology
Campus
Main Campus
Teaching languages
- Finnish
Seats
0 - 45
Degree programmes
- Bachelor's Degree Programme in Mechanical Engineering
Teachers
- Anne Rantakaulio
- Ville Sivil
Teacher in charge
Anne Rantakaulio
Scheduling groups
- TKN22S1 (Size: 30. Open UAS: 0.)
- TKN22SM_ja_TER22SM (Size: 15. Open UAS: 0.)
Groups
-
ZJATKN22SMAvoin amk, Konetekniikka, Monimuoto
-
TKN22S1Konetekniikka (AMK)
-
TKN22SMKonetekniikka (AMK)
-
ZJATKN22S1Avoin amk, Konetekniikka, Päivä
Small groups
- TKN22S1
- TKN22SM_ja_TER22SM
Objective
Course purpose
During this course you rehearse and reinforce mathematical knowledge and skills needed in the beginning of your studies.
Course competences
EUR-ACE: Knowledge and understanding
Knowledge and understanding of the mathematics and other basic sciences underlying their engineering specialisation, at a level necessary to achieve the other programme outcomes.
Learning outcomes
After completing this course you recall basic algebraic operations and rules for numbers and symbols, and formulas related to common geometric shapes. You understand the difference between an expression and an equation. You are able to apply what you have learned to solve simple problems related to your own field of study.
Content
Basic algebraic operations, the notion of square root, rules for exponents, simplification of polynomial expressions and simple rational expressions, simple linear and quadratic polynomial equations, percentages, simple geometry and trigonometry for right triangles, basics of functions, verbal problems.
Location and time
The initial level test is during the start week according to the time table of each degree program. Contact learning is during 22.8. - 7.10., and its schedule is given on the front page of the course.
Materials
Material is in the learning environment.
Teaching methods
Course is web-based course before the new student's start week. For those who don't pass the initial level test during the start week this course is in contact learning.
Exam schedules
Verkkototeutuksen loppukoe aloitusviikolla.
Kontaktitoteutuksen loppukoe viikolla 40.
Student workload
Web-based course: independent work 79 h, the initial level test 2 h.
Contact learning: in classroom 40 h and independent work 41 h.
Further information
Läpäisytestit 1, 2 ja 3. Valvottu loppukoe.
Avoin amk 10
Evaluation scale
Pass/Fail
Assessment criteria, approved/failed
You are able to simplify simple polynomial- and rational expressions and evaluate expressions numerically. You recognise the difference between an expression and an equation. You can explain how simplifying an expression differs from the process of solving an equation. You are able to solve simple linear and quadratic polynomial equations. You can solve the edges and angles of right triangles. You can solve simple problems with equations. You know the notation for functions, are able to read the values of a function from a graph, and compute values of a given function using the functions expression. You recognise the equation of a line, are able to draw the line by using it, and you can determine the equation of a line from a picture.
Further information
The course is meant to be taken before compulsory mathematical studies in technology. The course also offers good mathematical acquirements for studies on other fields than technology.
Enrollment
01.08.2022 - 25.08.2022
Timing
22.08.2022 - 16.10.2022
Number of ECTS credits allocated
3 op
Mode of delivery
Contact teaching
Unit
School of Technology
Campus
Main Campus
Teaching languages
- Finnish
Seats
0 - 26
Degree programmes
- Bachelor's Degree Programme in Construction and Civil Engineering
Teachers
- Ville Sivil
Teacher in charge
Anne Rantakaulio
Groups
-
ZJATRY22S1Avoin amk, Rakennus- ja yhdyskuntatekniikka, Päivä
-
TRY22S1Rakennus- ja yhdyskuntatekniikka (AMK)
Objective
Course purpose
During this course you rehearse and reinforce mathematical knowledge and skills needed in the beginning of your studies.
Course competences
EUR-ACE: Knowledge and understanding
Knowledge and understanding of the mathematics and other basic sciences underlying their engineering specialisation, at a level necessary to achieve the other programme outcomes.
Learning outcomes
After completing this course you recall basic algebraic operations and rules for numbers and symbols, and formulas related to common geometric shapes. You understand the difference between an expression and an equation. You are able to apply what you have learned to solve simple problems related to your own field of study.
Content
Basic algebraic operations, the notion of square root, rules for exponents, simplification of polynomial expressions and simple rational expressions, simple linear and quadratic polynomial equations, percentages, simple geometry and trigonometry for right triangles, basics of functions, verbal problems.
Location and time
The initial level test is during the start week according to the time table of each degree program. Contact learning is during 22.8. - 7.10., and its schedule is given on the front page of the course.
Materials
Material is in the learning environment.
Teaching methods
Course is web-based course before the new student's start week. For those who don't pass the initial level test during the start week this course is in contact learning.
Exam schedules
Verkkototeutuksen loppukoe aloitusviikolla.
Kontaktitoteutuksen loppukoe viikolla 40.
Student workload
Web-based course: independent work 79 h, the initial level test 2 h.
Contact learning: in classroom 40 h and independent work 41 h.
Further information
Läpäisytestit 1, 2 ja 3. Valvottu loppukoe.
Avoin amk 10
Evaluation scale
Pass/Fail
Assessment criteria, approved/failed
You are able to simplify simple polynomial- and rational expressions and evaluate expressions numerically. You recognise the difference between an expression and an equation. You can explain how simplifying an expression differs from the process of solving an equation. You are able to solve simple linear and quadratic polynomial equations. You can solve the edges and angles of right triangles. You can solve simple problems with equations. You know the notation for functions, are able to read the values of a function from a graph, and compute values of a given function using the functions expression. You recognise the equation of a line, are able to draw the line by using it, and you can determine the equation of a line from a picture.
Further information
The course is meant to be taken before compulsory mathematical studies in technology. The course also offers good mathematical acquirements for studies on other fields than technology.
Enrollment
01.08.2022 - 25.08.2022
Timing
22.08.2022 - 21.12.2022
Number of ECTS credits allocated
3 op
Virtual portion
3 op
Mode of delivery
Distance learning
Unit
School of Technology
Campus
Main Campus
Teaching languages
- Finnish
Seats
0 - 20
Degree programmes
- Bachelor's Degree Programme in Logistics
Teachers
- Ida Arhosalo
Teacher in charge
Ida Arhosalo
Groups
-
ZJATLS22SMMAvoin amk, Logistiikka, Monimuoto
-
TLS22SMMLogistiikka - tutkinto-ohjelma (AMK)
Objective
Course purpose
During this course you rehearse and reinforce mathematical knowledge and skills needed in the beginning of your studies.
Course competences
EUR-ACE: Knowledge and understanding
Knowledge and understanding of the mathematics and other basic sciences underlying their engineering specialisation, at a level necessary to achieve the other programme outcomes.
Learning outcomes
After completing this course you recall basic algebraic operations and rules for numbers and symbols, and formulas related to common geometric shapes. You understand the difference between an expression and an equation. You are able to apply what you have learned to solve simple problems related to your own field of study.
Content
Basic algebraic operations, the notion of square root, rules for exponents, simplification of polynomial expressions and simple rational expressions, simple linear and quadratic polynomial equations, percentages, simple geometry and trigonometry for right triangles, basics of functions, verbal problems.
Location and time
Course is implemented 1.8. - 31.12.
Materials
Videos and text files in the learning environment, automatic tests
Teaching methods
Learning videos, independent work, automatic tests, exam
Exam schedules
Schedule will be given on the front page of the learning environment. Registration for the exam is done according to the instructions on the first page.
Student workload
Independent work 79 h
Controlled exam 2 h
Evaluation scale
Pass/Fail
Assessment criteria, approved/failed
You are able to simplify simple polynomial- and rational expressions and evaluate expressions numerically. You recognise the difference between an expression and an equation. You can explain how simplifying an expression differs from the process of solving an equation. You are able to solve simple linear and quadratic polynomial equations. You can solve the edges and angles of right triangles. You can solve simple problems with equations. You know the notation for functions, are able to read the values of a function from a graph, and compute values of a given function using the functions expression. You recognise the equation of a line, are able to draw the line by using it, and you can determine the equation of a line from a picture.
Further information
The course is meant to be taken before compulsory mathematical studies in technology. The course also offers good mathematical acquirements for studies on other fields than technology.
Enrollment
01.08.2022 - 25.08.2022
Timing
22.08.2022 - 15.10.2022
Number of ECTS credits allocated
3 op
Mode of delivery
Contact teaching
Unit
School of Technology
Campus
Main Campus
Teaching languages
- Finnish
Seats
0 - 45
Degree programmes
- Bachelor's Degree Programme in Electrical and Automation Engineering
- Bachelor's Degree Programme in Energy and Environmental Technology
Teachers
- Ville Sivil
Teacher in charge
Anne Rantakaulio
Groups
-
TER22S1Energia- ja ympäristötekniikka (AMK)
-
ZJATSA22S1Avoin amk, Sähkö- ja automaatiotekniikka, Päivä
-
ZJATER22S1Avoin amk, Energia- ja ympäristötekniikka
-
TSA22SR1Sähkö- ja automaatiotekniikka (AMK)
-
TSA22SR2Sähkö- ja automaatiotekniikka (AMK)
Objective
Course purpose
During this course you rehearse and reinforce mathematical knowledge and skills needed in the beginning of your studies.
Course competences
EUR-ACE: Knowledge and understanding
Knowledge and understanding of the mathematics and other basic sciences underlying their engineering specialisation, at a level necessary to achieve the other programme outcomes.
Learning outcomes
After completing this course you recall basic algebraic operations and rules for numbers and symbols, and formulas related to common geometric shapes. You understand the difference between an expression and an equation. You are able to apply what you have learned to solve simple problems related to your own field of study.
Content
Basic algebraic operations, the notion of square root, rules for exponents, simplification of polynomial expressions and simple rational expressions, simple linear and quadratic polynomial equations, percentages, simple geometry and trigonometry for right triangles, basics of functions, verbal problems.
Location and time
The initial level test is during the start week according to the time table of each degree program. Contact learning is during 22.8. - 7.10., and its schedule is given on the front page of the course.
Materials
Material is in the learning environment.
Teaching methods
Course is web-based course before the new student's start week. For those who don't pass the initial level test during the start week this course is in contact learning.
Exam schedules
Verkkototeutuksen loppukoe aloitusviikolla.
Kontaktitoteutuksen loppukoe viikolla 40.
Student workload
Web-based course: independent work 79 h, the initial level test 2 h.
Contact learning: in classroom 40 h and independent work 41 h.
Further information
Läpäisytestit 1, 2 ja 3. Valvottu loppukoe.
Avoin amk 10
Evaluation scale
Pass/Fail
Assessment criteria, approved/failed
You are able to simplify simple polynomial- and rational expressions and evaluate expressions numerically. You recognise the difference between an expression and an equation. You can explain how simplifying an expression differs from the process of solving an equation. You are able to solve simple linear and quadratic polynomial equations. You can solve the edges and angles of right triangles. You can solve simple problems with equations. You know the notation for functions, are able to read the values of a function from a graph, and compute values of a given function using the functions expression. You recognise the equation of a line, are able to draw the line by using it, and you can determine the equation of a line from a picture.
Further information
The course is meant to be taken before compulsory mathematical studies in technology. The course also offers good mathematical acquirements for studies on other fields than technology.
Enrollment
01.08.2022 - 25.08.2022
Timing
22.08.2022 - 31.12.2022
Number of ECTS credits allocated
3 op
Mode of delivery
Contact teaching
Unit
School of Technology
Campus
Main Campus
Teaching languages
- English
Degree programmes
- Bachelor's Degree Programme in Logistics
- Bachelor's Degree Programme in Construction and Civil Engineering
- Bachelor's Degree Programme in Electrical and Automation Engineering
- Bachelor's Degree Programme in Energy and Environmental Technology
- Bachelor's Degree Programme in Mechanical Engineering
- Bachelor's Degree Programme in Information and Communications Technology
Teachers
- Ida Arhosalo
Teacher in charge
Ida Arhosalo
Groups
-
TAR22S1Bachelor's Degree Programme in Automation and Robotics
Objective
Course purpose
During this course you rehearse and reinforce mathematical knowledge and skills needed in the beginning of your studies.
Course competences
EUR-ACE: Knowledge and understanding
Knowledge and understanding of the mathematics and other basic sciences underlying their engineering specialisation, at a level necessary to achieve the other programme outcomes.
Learning outcomes
After completing this course you recall basic algebraic operations and rules for numbers and symbols, and formulas related to common geometric shapes. You understand the difference between an expression and an equation. You are able to apply what you have learned to solve simple problems related to your own field of study.
Content
Basic algebraic operations, the notion of square root, rules for exponents, simplification of polynomial expressions and simple rational expressions, simple linear and quadratic polynomial equations, percentages, simple geometry and trigonometry for right triangles, basics of functions, verbal problems.
Location and time
Weeks 35 - 41
The course is co-ordinated by Logistics Programmes
Materials
The written material of the course as well as possible video material will be published in the learning environment of the course at the beginning of the course.
Teaching methods
Teaching 2+2 hours / week
Self-study
Exam schedules
The dates of the exams are published in the learning environment at the beginning of the course.
Student workload
Contact teaching and exams approx. 30 h
Independent study approx. 50 h
Evaluation scale
Pass/Fail
Assessment criteria, approved/failed
You are able to simplify simple polynomial- and rational expressions and evaluate expressions numerically. You recognise the difference between an expression and an equation. You can explain how simplifying an expression differs from the process of solving an equation. You are able to solve simple linear and quadratic polynomial equations. You can solve the edges and angles of right triangles. You can solve simple problems with equations. You know the notation for functions, are able to read the values of a function from a graph, and compute values of a given function using the functions expression. You recognise the equation of a line, are able to draw the line by using it, and you can determine the equation of a line from a picture.
Further information
The course is meant to be taken before compulsory mathematical studies in technology. The course also offers good mathematical acquirements for studies on other fields than technology.
Timing
01.08.2022 - 31.08.2022
Number of ECTS credits allocated
3 op
Mode of delivery
Contact teaching
Unit
School of Technology
Campus
Main Campus
Teaching languages
- Finnish
Seats
0 - 200
Degree programmes
- Bachelor's Degree Programme in Logistics
- Bachelor's Degree Programme in Construction and Civil Engineering
- Bachelor's Degree Programme in Electrical and Automation Engineering
- Bachelor's Degree Programme in Energy and Environmental Technology
- Bachelor's Degree Programme in Mechanical Engineering
Teachers
- Ida Arhosalo
Teacher in charge
Ida Arhosalo
Groups
-
TLS22S1Logistiikka - tutkinto-ohjelma (AMK)
-
TSA22S1Insinööri (AMK), sähkö- ja automaatiotekniikka, päivätoteutus
-
TRY22S1Rakennus- ja yhdyskuntatekniikka (AMK)
-
TKN22S1Konetekniikka (AMK)
-
TER22S1Energia- ja ympäristötekniikka (AMK)
-
ZJATER22S1Avoin amk, Energia- ja ympäristötekniikka
-
ZJATER22SMAvoin amk, Energia- ja ympäristötekniikka , monimuoto
-
ZJATKN22S1Avoin amk, Konetekniikka, Päivä
-
ZJATRY22S1Avoin amk, Rakennus- ja yhdyskuntatekniikka, Päivä
-
ZJATKN22SMAvoin amk, Konetekniikka, Monimuoto
-
ZJATLS22S1Avoin amk, Logistiikka, Päivä
-
ZJATLS22SMMAvoin amk, Logistiikka, Monimuoto
-
ZJATSA22S1Avoin amk, Sähkö- ja automaatiotekniikka, Päivä
-
TER22SMEnergia- ja ympäristötekniikka (AMK)
-
TSA22SMInsinööri (AMK), sähkö- ja automaatiotekniikka,monimuototeutus
-
TKN22SMKonetekniikka (AMK)
-
TLS22SMMLogistiikka - tutkinto-ohjelma (AMK)
Objective
Course purpose
During this course you rehearse and reinforce mathematical knowledge and skills needed in the beginning of your studies.
Course competences
EUR-ACE: Knowledge and understanding
Knowledge and understanding of the mathematics and other basic sciences underlying their engineering specialisation, at a level necessary to achieve the other programme outcomes.
Learning outcomes
After completing this course you recall basic algebraic operations and rules for numbers and symbols, and formulas related to common geometric shapes. You understand the difference between an expression and an equation. You are able to apply what you have learned to solve simple problems related to your own field of study.
Content
Basic algebraic operations, the notion of square root, rules for exponents, simplification of polynomial expressions and simple rational expressions, simple linear and quadratic polynomial equations, percentages, simple geometry and trigonometry for right triangles, basics of functions, verbal problems.
Evaluation scale
0-5
Assessment criteria, approved/failed
You are able to simplify simple polynomial- and rational expressions and evaluate expressions numerically. You recognise the difference between an expression and an equation. You can explain how simplifying an expression differs from the process of solving an equation. You are able to solve simple linear and quadratic polynomial equations. You can solve the edges and angles of right triangles. You can solve simple problems with equations. You know the notation for functions, are able to read the values of a function from a graph, and compute values of a given function using the functions expression. You recognise the equation of a line, are able to draw the line by using it, and you can determine the equation of a line from a picture.
Further information
The course is meant to be taken before compulsory mathematical studies in technology. The course also offers good mathematical acquirements for studies on other fields than technology.
Timing
11.04.2022 - 29.05.2022
Number of ECTS credits allocated
3 op
Virtual portion
3 op
Mode of delivery
Distance learning
Unit
School of Technology
Campus
Main Campus
Teaching languages
- Finnish
Degree programmes
- Bachelor's Degree Programme in Energy and Environmental Technology
- Bachelor's Degree Programme in Mechanical Engineering
Teachers
- Anne Rantakaulio
Groups
-
ZJA22KTVOKAvoin Amk, tekniikka, Valintaopintojakso, Konetekniikka, monimuoto
Objective
Course purpose
During this course you rehearse and reinforce mathematical knowledge and skills needed in the beginning of your studies.
Course competences
EUR-ACE: Knowledge and understanding
Knowledge and understanding of the mathematics and other basic sciences underlying their engineering specialisation, at a level necessary to achieve the other programme outcomes.
Learning outcomes
After completing this course you recall basic algebraic operations and rules for numbers and symbols, and formulas related to common geometric shapes. You understand the difference between an expression and an equation. You are able to apply what you have learned to solve simple problems related to your own field of study.
Content
Basic algebraic operations, the notion of square root, rules for exponents, simplification of polynomial expressions and simple rational expressions, simple linear and quadratic polynomial equations, percentages, simple geometry and trigonometry for right triangles, basics of functions, verbal problems.
Location and time
The course begins on 11.4. by introduction in Zoom in https://jamk.zoom.us/j/61422159156, Passcode: 810239 at 17:00 - 18:00.
The course ends on 29.5.
The final exam is on 24.5. at 18:00 - 19:30 in Zoom.
Materials
The material is in the learning environment, and it consists of files, videos, exercises by pen and paper and automatic tests.
When you get enough points of automatic tests and you have also done the following exercises in pdf-files, you are able to answer to the passing test. There is the time limit of one hour in the passing test. You can do every passing test three times.
You must pass the passing tests before the final exam.
Teaching methods
Notice! This implementation is an elective course for those intending to become multimodal students in energy and environmental engineering and mechanical engineering. Other students will be directed to other implementations of the corresponding course.
Course is web-based self-directed course in Moodle environment. There is no contact lessons on this course.
Guiding for use of the environment and the practices in exam is available if needed in Zoom in the address of the course on 11.4., 18.4., 25.4, 2.5., 9.5., 16.5., 23.5. and 24.5. at 17:00 - 18:00.
Exam schedules
You have to pass the three passing tests before the final exam. Register for the final exam in Moodle in advance no later than May 19!
Final exam is in Zoom on 24.5. at 18:00 - 19:30. The final exam cannot be repeated.
Student workload
Web-based course: independent work 79 h, exam 2 h.
Further information
Each passing test gives in maximum 12 points. The maximum of the final exam is 64 points.
The applicant must obtain at least 50 points of the course to become chosen. The applicants are chosen in order of points, the highest score first.
The course is passed if the points of each passing test is at least 9 points and the points of the final exam are at least 51.
Evaluation scale
Pass/Fail
Assessment criteria, approved/failed
You are able to simplify simple polynomial- and rational expressions and evaluate expressions numerically. You recognise the difference between an expression and an equation. You can explain how simplifying an expression differs from the process of solving an equation. You are able to solve simple linear and quadratic polynomial equations. You can solve the edges and angles of right triangles. You can solve simple problems with equations. You know the notation for functions, are able to read the values of a function from a graph, and compute values of a given function using the functions expression. You recognise the equation of a line, are able to draw the line by using it, and you can determine the equation of a line from a picture.
Further information
The course is meant to be taken before compulsory mathematical studies in technology. The course also offers good mathematical acquirements for studies on other fields than technology.
Enrollment
01.03.2022 - 31.05.2022
Timing
01.03.2022 - 31.08.2022
Number of ECTS credits allocated
3 op
Virtual portion
3 op
Mode of delivery
Distance learning
Unit
School of Technology
Campus
Main Campus
Teaching languages
- Finnish
Seats
0 - 30
Degree programmes
- Bachelor's Degree Programme in Logistics
- Bachelor's Degree Programme in Construction and Civil Engineering
- Bachelor's Degree Programme in Electrical and Automation Engineering
- Bachelor's Degree Programme in Energy and Environmental Technology
- Bachelor's Degree Programme in Mechanical Engineering
- Bachelor's Degree Programme in Information and Communications Technology
Teachers
- Ida Arhosalo
Teacher in charge
Ida Arhosalo
Groups
-
LOGAKTIIVILogistiikan aktiivitoteutukset
-
ZJA22KTAvoin AMK, tekniikka
Objective
Course purpose
During this course you rehearse and reinforce mathematical knowledge and skills needed in the beginning of your studies.
Course competences
EUR-ACE: Knowledge and understanding
Knowledge and understanding of the mathematics and other basic sciences underlying their engineering specialisation, at a level necessary to achieve the other programme outcomes.
Learning outcomes
After completing this course you recall basic algebraic operations and rules for numbers and symbols, and formulas related to common geometric shapes. You understand the difference between an expression and an equation. You are able to apply what you have learned to solve simple problems related to your own field of study.
Content
Basic algebraic operations, the notion of square root, rules for exponents, simplification of polynomial expressions and simple rational expressions, simple linear and quadratic polynomial equations, percentages, simple geometry and trigonometry for right triangles, basics of functions, verbal problems.
Location and time
Exams during spring semester 2022 on in the beginning of autumn 2022
Materials
Videos and text files in the learning environment, automatic tests
Teaching methods
Learning videos, independent work, automatic tests, consultation webinars, exam
Exam schedules
Schedule will be given on the front page of the learning environment.
Student workload
Independent work 79 h
Controlled exam 2 h
Further information
Avoin amk: 30 paikkaa
Evaluation scale
Pass/Fail
Assessment criteria, approved/failed
You are able to simplify simple polynomial- and rational expressions and evaluate expressions numerically. You recognise the difference between an expression and an equation. You can explain how simplifying an expression differs from the process of solving an equation. You are able to solve simple linear and quadratic polynomial equations. You can solve the edges and angles of right triangles. You can solve simple problems with equations. You know the notation for functions, are able to read the values of a function from a graph, and compute values of a given function using the functions expression. You recognise the equation of a line, are able to draw the line by using it, and you can determine the equation of a line from a picture.
Further information
The course is meant to be taken before compulsory mathematical studies in technology. The course also offers good mathematical acquirements for studies on other fields than technology.
Timing
02.11.2021 - 31.01.2022
Number of ECTS credits allocated
3 op
Mode of delivery
Contact teaching
Unit
School of Technology
Campus
Main Campus
Teaching languages
- Finnish
Degree programmes
- Bachelor's Degree Programme in Logistics
- Bachelor's Degree Programme in Construction and Civil Engineering
- Bachelor's Degree Programme in Electrical and Automation Engineering
- Bachelor's Degree Programme in Energy and Environmental Technology
- Bachelor's Degree Programme in Mechanical Engineering
- Bachelor's Degree Programme in Information and Communications Technology
Teachers
- Antti Kosonen
Groups
-
ZJA21STGKAvoin amk, Korkeakoulupolkuopinnot, Gradia, Konetekniikka
-
ZJA21STGLAvoin amk, Korkeakoulupolkuopinnot, Gradia, Logistiikka
-
ZJA21STGRAvoin amk, Korkeakoulupolkuopinnot, Gradia, Rakennus-ja yhdyskuntatekniikka
-
ZJA21STGSAvoin amk, Korkeakoulupolkuopinnot, Gradia, Sähkö-ja automaatiotekniikka
-
ZJA21STGTAvoin amk, Korkeakoulupolkuopinnot, Gradia, Tieto- ja viestintätekniikka
Objective
Course purpose
During this course you rehearse and reinforce mathematical knowledge and skills needed in the beginning of your studies.
Course competences
EUR-ACE: Knowledge and understanding
Knowledge and understanding of the mathematics and other basic sciences underlying their engineering specialisation, at a level necessary to achieve the other programme outcomes.
Learning outcomes
After completing this course you recall basic algebraic operations and rules for numbers and symbols, and formulas related to common geometric shapes. You understand the difference between an expression and an equation. You are able to apply what you have learned to solve simple problems related to your own field of study.
Content
Basic algebraic operations, the notion of square root, rules for exponents, simplification of polynomial expressions and simple rational expressions, simple linear and quadratic polynomial equations, percentages, simple geometry and trigonometry for right triangles, basics of functions, verbal problems.
Location and time
The course is implemented at Gradia Viitaniemi campus 2.11.2021-31.1.2022.
Materials
Material available in course's Moodle e-learning environment
Teaching methods
Contact teaching, guided exercises
Exam schedules
Will be agreed at the beginning of the course
Student workload
3 credits corresponds to 81 hours of work
Further information
Tests in the Moodle environment / exam
Evaluation scale
0-5
Assessment criteria, approved/failed
You are able to simplify simple polynomial- and rational expressions and evaluate expressions numerically. You recognise the difference between an expression and an equation. You can explain how simplifying an expression differs from the process of solving an equation. You are able to solve simple linear and quadratic polynomial equations. You can solve the edges and angles of right triangles. You can solve simple problems with equations. You know the notation for functions, are able to read the values of a function from a graph, and compute values of a given function using the functions expression. You recognise the equation of a line, are able to draw the line by using it, and you can determine the equation of a line from a picture.
Further information
The course is meant to be taken before compulsory mathematical studies in technology. The course also offers good mathematical acquirements for studies on other fields than technology.
Enrollment
01.10.2021 - 28.02.2022
Timing
01.10.2021 - 31.05.2022
Number of ECTS credits allocated
3 op
Virtual portion
3 op
Mode of delivery
Distance learning
Unit
School of Technology
Campus
Main Campus
Teaching languages
- Finnish
Seats
0 - 60
Degree programmes
- Bachelor's Degree Programme in Logistics
- Bachelor's Degree Programme in Electrical and Automation Engineering
Teachers
- Ida Arhosalo
Teacher in charge
Ida Arhosalo
Groups
-
ZJA22KTPMLAvoin AMK, tekniikka, Logistiikka, monimuoto
-
TLS22KMMLogistiikan tutkinto-ohjelma (AMK)
-
LOGAKTIIVILogistiikan aktiivitoteutukset
-
TSA22KMInsinööri (AMK), sähkö- ja automaatiotekniikka,monimuototeutus
-
ZJA22KTAvoin AMK, tekniikka
Objective
Course purpose
During this course you rehearse and reinforce mathematical knowledge and skills needed in the beginning of your studies.
Course competences
EUR-ACE: Knowledge and understanding
Knowledge and understanding of the mathematics and other basic sciences underlying their engineering specialisation, at a level necessary to achieve the other programme outcomes.
Learning outcomes
After completing this course you recall basic algebraic operations and rules for numbers and symbols, and formulas related to common geometric shapes. You understand the difference between an expression and an equation. You are able to apply what you have learned to solve simple problems related to your own field of study.
Content
Basic algebraic operations, the notion of square root, rules for exponents, simplification of polynomial expressions and simple rational expressions, simple linear and quadratic polynomial equations, percentages, simple geometry and trigonometry for right triangles, basics of functions, verbal problems.
Location and time
Exams during spring semester 2022
Materials
Videos and text files in the learning environment, automatic tests
Teaching methods
Learning videos, independent work, automatic tests, consultation webinars, exam
Exam schedules
Schedule will be given on the front page of the learning environment.
Student workload
Independent work 79 h
Controlled exam 2 h
Evaluation scale
Pass/Fail
Assessment criteria, approved/failed
You are able to simplify simple polynomial- and rational expressions and evaluate expressions numerically. You recognise the difference between an expression and an equation. You can explain how simplifying an expression differs from the process of solving an equation. You are able to solve simple linear and quadratic polynomial equations. You can solve the edges and angles of right triangles. You can solve simple problems with equations. You know the notation for functions, are able to read the values of a function from a graph, and compute values of a given function using the functions expression. You recognise the equation of a line, are able to draw the line by using it, and you can determine the equation of a line from a picture.
Further information
The course is meant to be taken before compulsory mathematical studies in technology. The course also offers good mathematical acquirements for studies on other fields than technology.