In order to pass the course (grade 3) the student should
Arithmetic for rational and real numbers, inequalities, absolute value. Permutations and combinations. 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.
Lectures and problem solving sessions.
Written examination at the end of the course and assignments during the course. .