Course Content
18 LESSONS
36 HOURS Total Length
Lesson 1
Set Theory 1: Logical Notation and Basics of Set Theory
120 minutes
Lesson 2
Set Theory 2: Equivalence Relations and Quotients; Functions
120 minutes
Lesson 3
Set Theory 3: Cardinality of Sets
120 minutes
Lesson 4
Set Theory 4: Introduction to Algebraic Structures
120 minutes
Lesson 5
Linear Algebra 1: Vector Space Structures
120 minutes
Lesson 6
Linear Algebra 2: Vectors and Matrices
120 minutes
Lesson 7
Linear Algebra 3: Eigenvalues and Eigenvectors
120 minutes
Lesson 8
Linear Algebra 4: Index Notation and Bases
120 minutes
Lesson 9
Linear Algebra 5: Scalar Products
120 minutes
Lesson 10
Linear Algebra 6: Tensor and Wedge Products
120 minutes
Lesson 11
Group Theory 1: Group Structures; Homomorphism Theorems
120 minutes
Lesson 12
Group Theory 2: Quotient Groups
120 minutes
Lesson 13
Group Theory 3: Finite Groups
120 minutes
Lesson 14
Group Theory 4: Lie Groups
120 minutes
Lesson 15
Representation Theory 1: Representation Structures
120 minutes
Lesson 16
Representation Theory 2: Fundamental Representations; Induced Representations
120 minutes
Lesson 17
Representation Theory 3: Representations of Finite Groups
120 minutes
Lesson 18
Representation Theory 4: Representations of Lie Groups
120 minutes
