Learning outcome

After successfully completing the course, the candidate will have achieved the following learning outcomes defined in terms of knowledge, skills and general competence.

Knowledge

The candidate has knowledge of:

• Mathematics and physics as a necessary foundation for Mathematics 1, Mathematics 2, Physics and Chemistry and the main courses in the Bachelor’s degree study programme
• Logarithmic and exponential functions
• Definite and indefinite integrals, and understands the various integration methods
• Vector calculus in two and three dimensions
• Trigonometry and simple trigonometric equations
• Simple differential equations
• Sequences and series
• The basic principles of mechanics
• Mathematics necessary for solving problems in engineering and physics

Skills

The candidate can:

• Reason logically and interpret graphs and results in an adequate manner
• Solve maths and physics problems in those areas the candidate should have knowledge of
• Analyze problems and use mathematics and physics to solve them
• Apply mathematics and physics to perform calculations in conjunction with relevant technical problems
• Use an advanced calculator for calculations and graphic illustration of functions

General competence

The candidate has:

• Developed precise mathematical language that facilitates communication with others about problems related to mathematics and applied mathematics
• Developed an awareness of the importance of mathematical formalism for solving problems using mathematics
• Developed an understanding of the importance of mathematics when carrying out engineering calculations

Course Description

Mathematics

• Trigonometric functions. Derivation and solution of equations. Discussion of functions
• Logarithms and exponential functions. Derivation and solution of equations. Discussion of functions
• Integral calculus. Indefinite integrals of various kinds of functions. Methods of integration
• Calculation of area and volume by integration. Disc method for volume calculation
• Numerical sequences and series. Arithmetic and geometric sequences and series. Infinite series
• Vector calculations in two and three dimensions. Calculations using vector coordinates. Parallel vectors. Scalar products, vector products and triple vector products

Physics

• Motion with constant acceleration
• Force and motion. Forces and gravity forces. Newton’s laws
• Mechanical work and energy. Power

Teaching and Learning Methods

Lectures and exercises.

Motivation

The lectures will provide an overview of the course’s academic content (knowledge) and encourage students to work independently (skills), for instance, by reviewing examples and by showing what can be achieved by using calculators.

The exercises require that students themselves are active (skills). Under supervision, working with exercises can lead to deeper understanding (knowledge) of the interaction between instrumental activities and theory.

The exercises also develop the student’s communicative abilities in the field of mathematics (general competence).

Assessment Methods

An individual mid-term examination weighted 40%.

Individual written final examination weighted 60%.

Mandatory math lab sessions with accompanying reports must be approved.

The final examination must be passed in order to receive a passing grade in the course. Both examinations will be given letter grades.

Both examinations will consist of two parts. Both parts will be given the same day, with a break in between. No examination aids are allowed in either of the first parts. In the second parts all written and printed examination aids are allowed, as well as a calculator.

Motivation

The final examination will assess the extent to which the individual student has achieved the learning outcomes in terms of knowledge, skills and general competence.

Minor adjustments may occur during the academic year, subject to the decision of the Dean