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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.