mat955 Mathematics of Computer Science (Linear Algebra) (Course overview)

written exam or oral exam.

Bonus points can be earned.

• Getting to know and to understand the axiomatic structure of mathematics and the importance of mathematical reasoning
• Mastering basic mathematical proof techniques and their logical structure
• Recognizing the relevance of premises in mathematical theorems: Localization of premises within proofs and possible consequences if premises are not met
• Learning the significant ideas and methods of linear algebra
• Mastering the fundamental concepts of algebra, such as groups, rings, fields
• Mastering the fundamental concepts and significant methods of linear algebra, such as systems of linear equations, Gaussian algorithm, vector spaces, dimension, linear maps, matrices, determinants
• Mastering of further notions and methods of linear algebra, e.g. eigenvectors, eigenvalues, diagonalization