# Basic Course in Mathematics

5 credits

Syllabus, Bachelor's level, 1MA010

A revised version of the syllabus is available.
Code
1MA010
Education cycle
First cycle
Main field(s) of study and in-depth level
Mathematics G1N
Fail (U), Pass (3), Pass with credit (4), Pass with distinction (5)
Finalised by
The Faculty Board of Science and Technology, 17 May 2017
Responsible department
Department of Mathematics

## Entry requirements

General entry requirements and Mathematics 4 or Mathematics D

## Learning outcomes

In order to pass the course (grade 3) the student should

## Content

The mathematical language, symbols from logic and set theory. Arithmetic for rational and real numbers, inequalities, absolute value. Permutations and combinations. Sum notation. Induction. Polynomials: factorisation and division, completing squares, simple algebraic equations. The binomial theorem. Complex numbers: real and imaginary part, polar form, the complex plane, second degree equations and binomial equations. The function concept.

Elementary functions: the exponential function, logarithms (in different bases), logarithmic rules, and trigonometric functions. Trigonometric formulas. Simple exponential, logarithmic and trigonometric equations.

Coordinate systems in the plane. The distance formula. Equations for the line and the circle. Equations for the ellipse, hyperbola and parabola in standard form.

## Instruction

Lectures and problem solving sessions.

## Assessment

Written examination at the end of the course and assignments during the course. .

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