Entry requirements

Introduction to Mathematics.

Aims

An introduction to numbers, vectors, matrices, polynomials, equations and systems of equations as well as graphs.

Content

Induction and recursion. Numbers: integers,

rational, real and complex. Polynomials.

Divisibility for numbers and polynomials,

prime number and prime polynomial, factorisation.

Euclid's algorithm, congruences. Elementary

combinatorics, permutations and combinations.

Algebraic equations and systems of equations.

Systems of linear equations. Matrices and matrix

calculus. Graphs and digraphs. Some simple

algorithms for graphs. Vectors in two and three

dimensions, lines and planes.

Instruction

Lectures and problem solving sessions.

Assessment

Written and, possibly, oral examination at the end

of the course. Moreover, compulsory assignments

may be given during the course.