Applied Mathematics and PhysicsLaajuus (5 cr)
Code: TKXMF100
Credits
5 op
Teaching language
- Finnish
Responsible person
- Tomi Nieminen
Objective
The students study rigid body dynamics, and they learn to choose a proper motor for a mechanism. The students study the fundamentals of electromagnetism and they build a rotating electric motor. The students also learn how to write and solve differential equations analytically.
Knowledge and understanding:
Students understand the principles of mathematical modeling of engineering problems.
Engineering analysis:
Students are able to apply their modeling skills to solving practical engineering problems.
Content
Rigid body dynamics, electromagnetism, Faraday’s law, Lenz’s law. Differential equations, analytical solution methods.
Qualifications
Expressions and equations. SI-unit system. The concepts of force and torque and Newton's laws. Dividing a vector into components. The basics of statics. Technical beam theory, and the relationship between the shear force, the bending moment and the deflection of a beam. Basics of differential and integral calculus.
Assessment criteria, satisfactory (1)
Assessment consists of exam 90% and project work 10%.
Sufficient (1): You identify the basic knowledge and terminology but you have significant gaps in the knowledge how to understand the most important problem solving techniques and ideas. You are able to solve simple problems in a sufficient manner.
Satisfactory (2): You are familiar with the basic knowledge and terminology but there are some gaps in the knowledge how to implement the most important problem solving techniques and ideas. You are able to solve unusual problems in a satisfactory manner.
Assessment criteria, good (3)
Good (3): You master the essential knowledge and skills and can apply your knowledge to basic engineering applications.
Very good (4): The student masters the essential knowledge and skills and can apply the knowledge acquired in a critical and innovative manner to problem solving situations.
Assessment criteria, excellent (5)
Excellent (5): You master the essential knowledge and skills and you can apply the knowledge acquired in a critical and innovative manner to problem solving situations.
Assessment criteria, approved/failed
Approved: You master sufficiently the basic knowledge and skills and you are able to apply your knowledge to simple problems.
Enrollment
20.11.2023 - 04.01.2024
Timing
08.01.2024 - 30.04.2024
Number of ECTS credits allocated
5 op
Mode of delivery
Contact teaching
Unit
School of Technology
Campus
Main Campus
Teaching languages
- Finnish
Seats
0 - 36
Degree programmes
- Bachelor's Degree Programme in Mechanical Engineering
Teachers
- Tomi Nieminen
Groups
-
TKN22SAKonetekniikka (AMK)
-
TKN22SBKonetekniikka (AMK)
Objective
The students study rigid body dynamics, and they learn to choose a proper motor for a mechanism. The students study the fundamentals of electromagnetism and they build a rotating electric motor. The students also learn how to write and solve differential equations analytically.
Knowledge and understanding:
Students understand the principles of mathematical modeling of engineering problems.
Engineering analysis:
Students are able to apply their modeling skills to solving practical engineering problems.
Content
Rigid body dynamics, electromagnetism, Faraday’s law, Lenz’s law. Differential equations, analytical solution methods.
Evaluation scale
0-5
Assessment criteria, satisfactory (1)
Assessment consists of exam 90% and project work 10%.
Sufficient (1): You identify the basic knowledge and terminology but you have significant gaps in the knowledge how to understand the most important problem solving techniques and ideas. You are able to solve simple problems in a sufficient manner.
Satisfactory (2): You are familiar with the basic knowledge and terminology but there are some gaps in the knowledge how to implement the most important problem solving techniques and ideas. You are able to solve unusual problems in a satisfactory manner.
Assessment criteria, good (3)
Good (3): You master the essential knowledge and skills and can apply your knowledge to basic engineering applications.
Very good (4): The student masters the essential knowledge and skills and can apply the knowledge acquired in a critical and innovative manner to problem solving situations.
Assessment criteria, excellent (5)
Excellent (5): You master the essential knowledge and skills and you can apply the knowledge acquired in a critical and innovative manner to problem solving situations.
Assessment criteria, approved/failed
Approved: You master sufficiently the basic knowledge and skills and you are able to apply your knowledge to simple problems.
Qualifications
Expressions and equations. SI-unit system. The concepts of force and torque and Newton's laws. Dividing a vector into components. The basics of statics. Technical beam theory, and the relationship between the shear force, the bending moment and the deflection of a beam. Basics of differential and integral calculus.
Enrollment
20.11.2023 - 04.01.2024
Timing
08.01.2024 - 20.05.2024
Number of ECTS credits allocated
5 op
Virtual portion
3 op
Mode of delivery
40 % Contact teaching, 60 % Distance learning
Unit
School of Technology
Campus
Main Campus
Teaching languages
- Finnish
Seats
0 - 38
Degree programmes
- Bachelor's Degree Programme in Mechanical Engineering
Teachers
- Tomi Nieminen
Groups
-
TKN22SMKonetekniikka (AMK)
Objective
The students study rigid body dynamics, and they learn to choose a proper motor for a mechanism. The students study the fundamentals of electromagnetism and they build a rotating electric motor. The students also learn how to write and solve differential equations analytically.
Knowledge and understanding:
Students understand the principles of mathematical modeling of engineering problems.
Engineering analysis:
Students are able to apply their modeling skills to solving practical engineering problems.
Content
Rigid body dynamics, electromagnetism, Faraday’s law, Lenz’s law. Differential equations, analytical solution methods.
Evaluation scale
0-5
Assessment criteria, satisfactory (1)
Assessment consists of exam 90% and project work 10%.
Sufficient (1): You identify the basic knowledge and terminology but you have significant gaps in the knowledge how to understand the most important problem solving techniques and ideas. You are able to solve simple problems in a sufficient manner.
Satisfactory (2): You are familiar with the basic knowledge and terminology but there are some gaps in the knowledge how to implement the most important problem solving techniques and ideas. You are able to solve unusual problems in a satisfactory manner.
Assessment criteria, good (3)
Good (3): You master the essential knowledge and skills and can apply your knowledge to basic engineering applications.
Very good (4): The student masters the essential knowledge and skills and can apply the knowledge acquired in a critical and innovative manner to problem solving situations.
Assessment criteria, excellent (5)
Excellent (5): You master the essential knowledge and skills and you can apply the knowledge acquired in a critical and innovative manner to problem solving situations.
Assessment criteria, approved/failed
Approved: You master sufficiently the basic knowledge and skills and you are able to apply your knowledge to simple problems.
Qualifications
Expressions and equations. SI-unit system. The concepts of force and torque and Newton's laws. Dividing a vector into components. The basics of statics. Technical beam theory, and the relationship between the shear force, the bending moment and the deflection of a beam. Basics of differential and integral calculus.
Enrollment
01.11.2022 - 05.01.2023
Timing
01.01.2023 - 21.05.2023
Number of ECTS credits allocated
5 op
Virtual portion
1 op
Mode of delivery
80 % Contact teaching, 20 % Distance learning
Unit
School of Technology
Campus
Main Campus
Teaching languages
- Finnish
Seats
0 - 60
Degree programmes
- Bachelor's Degree Programme in Mechanical Engineering
Teachers
- Antti Kosonen
- Tomi Nieminen
Teacher in charge
Tomi Nieminen
Groups
-
TKN21SAKonetekniikka (AMK)
-
TKN21SBKonetekniikka (AMK)
-
TKN21SMKonetekniikka
Objective
The students study rigid body dynamics, and they learn to choose a proper motor for a mechanism. The students study the fundamentals of electromagnetism and they build a rotating electric motor. The students also learn how to write and solve differential equations analytically.
Knowledge and understanding:
Students understand the principles of mathematical modeling of engineering problems.
Engineering analysis:
Students are able to apply their modeling skills to solving practical engineering problems.
Content
Rigid body dynamics, electromagnetism, Faraday’s law, Lenz’s law. Differential equations, analytical solution methods.
Location and time
The course is implemented 9.1.2023 - 30.4.2023.
Materials
Material available in the e-learning environment-
Literature:
Suvanto, K. 2003. Tekniikan fysiikka: 1. [Helsinki]: Edita.
Suvanto, K. & Laajalehto, K. 2005. Tekniikan fysiikka: 2. 2. p. Helsinki: Edita.
Teaching methods
Face-to-face and e-learning depending on the programme.
Exam schedules
1. midterm exam during week 8
2. midterm exam during week 17
1st resit of the 1st midterm exam during week 12
1st resit of the 2nd midterm exam during week 20
2nd resit of both midterm exams during week 22
Completion alternatives
No alternative implementations available.
Student workload
5op * 21h/op = 135h
Content scheduling
Will be announced at the beginning of the course.
Further information
Two midterm exams, study project, exercises and self-assessment contribute to the grading of the course.
Evaluation scale
0-5
Assessment criteria, satisfactory (1)
Assessment consists of exam 90% and project work 10%.
Sufficient (1): You identify the basic knowledge and terminology but you have significant gaps in the knowledge how to understand the most important problem solving techniques and ideas. You are able to solve simple problems in a sufficient manner.
Satisfactory (2): You are familiar with the basic knowledge and terminology but there are some gaps in the knowledge how to implement the most important problem solving techniques and ideas. You are able to solve unusual problems in a satisfactory manner.
Assessment criteria, good (3)
Good (3): You master the essential knowledge and skills and can apply your knowledge to basic engineering applications.
Very good (4): The student masters the essential knowledge and skills and can apply the knowledge acquired in a critical and innovative manner to problem solving situations.
Assessment criteria, excellent (5)
Excellent (5): You master the essential knowledge and skills and you can apply the knowledge acquired in a critical and innovative manner to problem solving situations.
Assessment criteria, approved/failed
Approved: You master sufficiently the basic knowledge and skills and you are able to apply your knowledge to simple problems.
Qualifications
Expressions and equations. SI-unit system. The concepts of force and torque and Newton's laws. Dividing a vector into components. The basics of statics. Technical beam theory, and the relationship between the shear force, the bending moment and the deflection of a beam. Basics of differential and integral calculus.
Enrollment
01.11.2021 - 09.01.2022
Timing
01.01.2022 - 15.05.2022
Number of ECTS credits allocated
5 op
Mode of delivery
Contact teaching
Unit
School of Technology
Campus
Main Campus
Teaching languages
- Finnish
Seats
0 - 90
Degree programmes
- Bachelor's Degree Programme in Mechanical Engineering
Teachers
- Tomi Nieminen
Teacher in charge
Tomi Nieminen
Groups
-
TKN20SMKonetekniikka
Objective
The students study rigid body dynamics, and they learn to choose a proper motor for a mechanism. The students study the fundamentals of electromagnetism and they build a rotating electric motor. The students also learn how to write and solve differential equations analytically.
Knowledge and understanding:
Students understand the principles of mathematical modeling of engineering problems.
Engineering analysis:
Students are able to apply their modeling skills to solving practical engineering problems.
Content
Rigid body dynamics, electromagnetism, Faraday’s law, Lenz’s law. Differential equations, analytical solution methods.
Materials
Theory handouts and exercises written by the teacher.
Completion alternatives
Graded exercises or alternatively a final exam.
Project work.
Student workload
Virtual study and guided exercises 65 h, independent work 70 h. Total 135 h.
Further information
-
Evaluation scale
0-5
Assessment criteria, satisfactory (1)
Assessment consists of exam 90% and project work 10%.
Sufficient (1): You identify the basic knowledge and terminology but you have significant gaps in the knowledge how to understand the most important problem solving techniques and ideas. You are able to solve simple problems in a sufficient manner.
Satisfactory (2): You are familiar with the basic knowledge and terminology but there are some gaps in the knowledge how to implement the most important problem solving techniques and ideas. You are able to solve unusual problems in a satisfactory manner.
Assessment criteria, good (3)
Good (3): You master the essential knowledge and skills and can apply your knowledge to basic engineering applications.
Very good (4): The student masters the essential knowledge and skills and can apply the knowledge acquired in a critical and innovative manner to problem solving situations.
Assessment criteria, excellent (5)
Excellent (5): You master the essential knowledge and skills and you can apply the knowledge acquired in a critical and innovative manner to problem solving situations.
Assessment criteria, approved/failed
Approved: You master sufficiently the basic knowledge and skills and you are able to apply your knowledge to simple problems.
Qualifications
Expressions and equations. SI-unit system. The concepts of force and torque and Newton's laws. Dividing a vector into components. The basics of statics. Technical beam theory, and the relationship between the shear force, the bending moment and the deflection of a beam. Basics of differential and integral calculus.
Enrollment
01.11.2021 - 09.01.2022
Timing
01.01.2022 - 15.05.2022
Number of ECTS credits allocated
5 op
Mode of delivery
Contact teaching
Unit
School of Technology
Campus
Main Campus
Teaching languages
- Finnish
Seats
0 - 90
Degree programmes
- Bachelor's Degree Programme in Mechanical Engineering
Teachers
- Antti Kosonen
Teacher in charge
Tomi Nieminen
Groups
-
TKN20SBKonetekniikka (AMK)
-
TKN20SAKonetekniikka (AMK)
Objective
The students study rigid body dynamics, and they learn to choose a proper motor for a mechanism. The students study the fundamentals of electromagnetism and they build a rotating electric motor. The students also learn how to write and solve differential equations analytically.
Knowledge and understanding:
Students understand the principles of mathematical modeling of engineering problems.
Engineering analysis:
Students are able to apply their modeling skills to solving practical engineering problems.
Content
Rigid body dynamics, electromagnetism, Faraday’s law, Lenz’s law. Differential equations, analytical solution methods.
Location and time
Opintojakso toteutetaan 10.1.2022 - 30.4.2022
Materials
Materiaali saatavilla opintojakson Moodle-työtilassa
Teaching methods
Lähiopetus
Exam schedules
Ilmoitetaan opintojakson alkaessa
Student workload
5op * 21h/op = 135h
Further information
koe / testit / harjoitustehtävät ja -työt
Evaluation scale
0-5
Assessment criteria, satisfactory (1)
Assessment consists of exam 90% and project work 10%.
Sufficient (1): You identify the basic knowledge and terminology but you have significant gaps in the knowledge how to understand the most important problem solving techniques and ideas. You are able to solve simple problems in a sufficient manner.
Satisfactory (2): You are familiar with the basic knowledge and terminology but there are some gaps in the knowledge how to implement the most important problem solving techniques and ideas. You are able to solve unusual problems in a satisfactory manner.
Assessment criteria, good (3)
Good (3): You master the essential knowledge and skills and can apply your knowledge to basic engineering applications.
Very good (4): The student masters the essential knowledge and skills and can apply the knowledge acquired in a critical and innovative manner to problem solving situations.
Assessment criteria, excellent (5)
Excellent (5): You master the essential knowledge and skills and you can apply the knowledge acquired in a critical and innovative manner to problem solving situations.
Assessment criteria, approved/failed
Approved: You master sufficiently the basic knowledge and skills and you are able to apply your knowledge to simple problems.
Qualifications
Expressions and equations. SI-unit system. The concepts of force and torque and Newton's laws. Dividing a vector into components. The basics of statics. Technical beam theory, and the relationship between the shear force, the bending moment and the deflection of a beam. Basics of differential and integral calculus.