Course Objectives

Become familiar with and be able to use the basic mathematical tools that are necessary for further studies at universities and scientific university colleges.

The students will become familiar with and be able to apply fundamental concepts and solution methods associated with:

• Vectors, curves and surfaces in space
• Partial derivation
• Multiple integrals
• Vector analysis

In connection with calculations and graphics, students must be able to use the computer programme Maple.

Course Description

Vector functions. Lines, planes and quadratic surfaces. Cylindrical and spherical coordinates. Functions with multiple variables. Partial derivatives. Multivariable optimalisation. Multiple integrals. Vector fields. Line integrals. Surface integrals. Integral theorems.

Learning Methods

Lectures and exercises will, in part, require the use of Maple on laptop computers as a working tool.

Assessment Methods

• Maple-project in groups (with a maximum of 4 students per group) (30%) .
• Individual written final examination (70%).

The final written examination must receive a passing grade.

During examinations, all printed and written aids, as well as laptops and calculators will be permitted.

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