Entry requirements

Matematik D from the gymnasium.

Aims

The aim of the course is to give a background for continued studies in

mathematics by practising the ability to reason logically and by introducing

basic concepts from the differential and integral calculus in one variable.

Content

Differential and integral calculus for functions

of one real variable: Real numbers, inequalities,

suprema and infima, elementary functions, limits

of functions and sequences, continuity and

differentiability, extreme values, curve

sketching, the Riemann integral and techniques

of integration, areas and volumes, Taylor's

formula, numerical series, separable and linear

first order differential equations and second

order linear differential equations with

constant coefficients.

Instruction

Lectures and problem solving sessions.

Assessment

Written examination at the middle and the end of

the course. Moreover, compulsory assignments may

be given during the course.