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 that provides the necessary foundation for the courses Technical Science Subjects II, Mathematics 1 and the main courses in the Bachelor’s study programme
• Algebra, and is able to solve several types of equations and inequalities
• Functions of one variable, and is able to discuss a function’s properties using differentiation
• Trigonometry and simple trigonometric equations
• Mathematics that enables him/her to solve technical problems.

Skills

The candidate can:

• Reason logically and interpret graphs and results in an adequate manner
• Solve mathematical problems within the areas the candidate should have knowledge of
• Analyze problems and use mathematical knowledge to solve them
• Apply mathematics to perform calculations in conjunction with relevant technical problems
• Use an advanced calculator to carry out calculations and create graphic illustrations 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-related calculations

Course Description

• Numbers and arithmetic: Fractions, powers and square roots
• Algebra: Calculation using variables, parentheses and quadratic theorems. Factorization. Polynomials
• Equations: Linear equations with one and two variables, quadratic equations, special equations of higher order, rational and irrational equations
• Inequalities: Single and double inequalities. Second degree inequalities and rational inequalities
• Basic trigonometry and geometry (area and volume calculations)
• General trigonometry: Sine-cosine and area theorem.Trigonometric equations. Trigonometric formulas
• Differentiation: Differentiation rules (product, quotient and chain rule)

Teaching and Learning Methods

Lectures, exercises and group work.

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