Mathematics III FBV5006

Prerequisites

Mathematics I.

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 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

Hyperbolic functions. Polar coordinates. Parametric curves. Sections of Cones. 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

Written mid-term examination, project (maximum of 3 students per group) and final written examination.

For all examinations, all printed and written aids as well as laptop computers and calculators are permitted.

The final grade will be calculated as follows:

Mid-term examination: 30%

Group project: 10%

Final examination: 60%

An absolute minimum requirement is that at least one of the individual examinations must receive a passing grade.

Pensum