Course Objectives

The students will:

• Be able to carry out calculations using complex numbers.
• Be capable of solving basic linear algebraic problems concerning, among other things, equation systems and eigenvalues/eigenvectors.
• Be able to use linear algebraic methods for solving applied problems, particularly within the building industry.
• Be familiar with definitions and concepts associated with multivariable functions, and be able to apply the theory of multivariable functions as a basis for, among other things, error calculations.
• Be capable of performing curve-fitting by using the least square method.
• Be capable of carrying out numerical integration on the basis of curve-fitting.
• Be capable of solving first-degree differential equations numerically using the Runge-Kutta method.
• Be capable of using relevant mathematical approaches on selected problems within the building trade.

Course Description

• Calculation with complex numbers in Cartesian, trigonometric and exponential forms
• Equations with complex solutions
• Linear equation systems with applications
• Matrix algebra
• Vector spaces
• Eigenvalues and eigenvectors with applications
• Functions with two or more variables. Partial derivatives. Differentials and differential limits. Error calculations
• The least square method for curve-fitting
• Numerical integration on the basis of curve-fitting
• Runge-Kutta method for the solution of first degree differential equations
• Mathematical models for building trade applications

Learning Methods

Lectures and exercises. In mathematics, the computer programme Maple will be used.

Assessment Methods

40% continuous assessment, 60% final written examination.

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