Learning outcomes

On completion of the course, the student should be able to:

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. Optional test that can give a bonus to the regular exam

If there are special reasons for doing so, an examiner may make an exception from the method of assessment indicated and allow a student to be assessed by another method. An example of special reasons might be a certificate regarding special pedagogical support from the disability coordinator of the university.