Sets and Structures

Set Theory 1: Logical Notation and Basics of Set Theory

Set Theory 2: Equivalence Relations and Quotients; Functions

Set Theory 3: Cardinality of Sets

Set Theory 4: Introduction to Algebraic Structures

Linear Algebra 1: Vector Space Structures

Linear Algebra 2: Vectors and Matrices

Linear Algebra 3: Eigenvalues and Eigenvectors

Linear Algebra 4: Index Notation and Bases

Linear Algebra 5: Scalar Products

Linear Algebra 6: Tensor and Wedge Products

Group Theory 1: Group Structures; Homomorphism Theorems

Group Theory 2: Quotient Groups

Group Theory 3: Finite Groups

Group Theory 4: Lie Groups

Representation Theory 1: Representation Structures

Representation Theory 2: Fundamental Representations; Induced Representations

Representation Theory 3: Representations of Finite Groups

Representation Theory 4: Representations of Lie Groups