Preparatory Mathematics (3 cr)

Evaluation scale

Pass/Fail

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.

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 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.