Linear algebra
undergraduate course, University of Luebeck, 2023
Summer term 2021 and winter term 2023 (~30 students per semester in my exercise group).
- Basics: logic, sets, illustrations
- Relations, equivalence relations, orders
- Complete induction
- Groups: basics, finite groups, permutations, 2x2 matrices
- Rings, bodies, residual classes
- Complex numbers: calculation rules, representations, roots of unity
- Vector spaces: bases, dimension, dot products, norms