Mathematics · self-study course
Abstract algebra and discrete proofs
Study groups, vector-space quotients and proof techniques with carefully scoped definitions.
3 lessons24 quiz questionsAdvanced university / University
Your learning path
- 01
Groups, subgroups and element order
An associative operation has an identity and an inverse for every element; commutativity is optional.
Advanced university · Notes · 8 questions - 02
Homomorphisms, kernels and quotient structure
A structure-preserving map respects the relevant operation.
Advanced university · Notes · 8 questions - 03
Induction, graphs and discrete reasoning
Prove a base case and a step from n to n+1; neither alone suffices.
University · Notes · 8 questions