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Academic Development>Mathematics>Algebra
Created By
Sunil P
36 Hours
18 LESSONS
Academic Development
36 Hours Total Length
Set Theory 1: Logical Notation and Basics of Set Theory
2 Hours
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
Logical Rigour
Use of University-Style Formalism
Unification of Mathematical Ideas