Mathematics 2 for Mechanical and Civil Engineering

Systems of linear equations:
- Matrices
- Vector spaces
- Linear transformations
- Eigensystems and diagonalisation
- Series, sequences and convergence
- Taylor series

Difference equations:
- Splines
- The element method
- Extreme value problems in several variables using partial derivatives and the least squares method

The students will learn mathematical tools and methods for engineering problem solving, and acquire a foundation for further study in mathematics and engineering. The course emphasizes modeling and applications.

Knowledge:
- Understand the  relevance of mathematics in engineering problem solving
- Able to identify applications of mathematics in engineering subjects
- Know the possibilities and limitations of mathematical software
The course gives in-depth knowledge in the areas of linear algebra with selected applications, power series and extreme value problems, With:

Skills:
- able to understand and use mathematical language.
- able to use mathematical methods and software to solve problems.
- able to judge accuracy of numerical results.
- basic mathematical reasoning
- able to do simple mathematical modeling
The skills are developed by applications to the knowledge areas.

Lectures and exercises

Compulsory assignements:
At least four problem sheets, including at least one using mathematical software, must be completed to take the exam.