Course Description

Module 1 provides an introduction to function theory in relation to the topics:

The function concept (how it occurs naturally and is used in the formulation and solution of practical problems) – the analysis of linear and polynomial functions – differentiation and differentiation techniques – rational functions and asymptotes – limits and continuity – L’Hôpital’s rule – exponential functions and logarithms – the origin and properties of the trigonometric functions sine and cosine – angular measurement in radians – numerical sequences and series (particularly geometric and arithmetic) – modeling with functions – indefinite integrals and anti-differentiation – the use and interpretation of definite integrals – integration techniques – real functions with two variables – simple differential equations

The students will carry out a subject didactics project in mathematics where the theme will be the use of IT in teaching mathematics. The students will become familiar with the requirements for the use of IT in the ”Knowledge Promotion” school reform, and consider how the objectives of this reform may be achieved. They will orient themselves concerning the resources available on internet, and gain insight into the use of standard programs for mathematics.

Assessment Methods

The grade in Mathematics 2 is calculated on the basis of the grades in the two 5-hour written examinations, and the subject didactics work. The two written examinations count for 80% of the grade and subject didactics work 20%.
All components must be passed before the final grade can be awarded.
Letter grades from A to F will be awarded, where A represents the highest grade, and E the lowest passing grade. Candidates who fail will receive the grade F.

Minor adjustments may occur during the academic year, subject to the decision of the Dean