Preparatory Mathematics (3 cr)

Evaluation scale

Pass/Fail

Content scheduling

All practice tests and pass tests are open throughout the implementation.

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 19.8. - 4.10.

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, you are able to answer to the passing test. There is the time limit of 1,5 hours in the passing test. You can do every passing test three times.

You must pass the passing tests before the final exam.

Teaching methods

Distance learning, videos, booklet tasks, automatic tests, independent work, pass tests, exam. Contact learning if needed in Zoom 10 h. Thr first contact on Tuesday 20.8. klo 17:00 in address https://jamk.zoom.us/j/69210831752?pwd=cFZUQ3IzbHdwdC8xbUorczlUcXg1dz09

Exam schedules

The three pass tests of the learning environment must be passed before the final exam.

Final exam at Exam-studio open on 19.8. - 11.10.

The final exam can also be taken online under supervision during autumn at a time to be agreed separately.

Student workload

The calculated workload is the number of credits times 27 hours, so in this course it is 81 hours.

Independent work 77 h
Final exam 2 h

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

Each passing test gives in maximum 12 points. The maximum of the final exam is 64 points.

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 48.