Mathematics 2 with Applications for Mechanical Engineering MA2006

Course Objectives

The students will learn:

To carry out calculations using complex numbers.
To solve basic linear algebraic problems related to, among other things, equation systems and eigenvalues/eigenvectors.
To use linear algebraic methods for solving applied problems, particularly within the building industry.
About definitions and concepts associated with multivariable functions and learn to apply the theory of multivariable functions as a basis for, among other things, error calculations.
To perform curve-fitting using the least-square method.
To carry out numerical integration on the basis of curve-fitting.
To solve first-degree differential equations numerically using the Runge-Kutta method.
To use the relevant mathematical approaches on selected problems within the field of mechanical engineering.

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 mechanical engineering applications.

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

40% continuous assessment, 60% final written examination.

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