NOC:Introduction to Abstract and Linear Algebra (USB)

Media Storage Type : 32 GB USB Stick

NPTEL Subject Matter Expert : Prof.Sourav Mukhopadhyay

NPTEL Co-ordinating Institute : IIT Kharagpur

NPTEL Lecture Count : 40

NPTEL Course Size : 8.7 GB

NPTEL PDF Text Transcription : Available and Included

NPTEL Subtitle Transcription : Available and Included (SRT)

Lecture Titles:

Lecture 1 - Set Theory
Lecture 2 - Set Operations
Lecture 3 - Set Operations (Continued...)
Lecture 4 - Set of sets
Lecture 5 - Binary relation
Lecture 6 - Equivalence relation
Lecture 7 - Mapping
Lecture 8 - Permutation
Lecture 9 - Binary Composition
Lecture 10 - Groupoid
Lecture 11 - Group
Lecture 12 - Order of an element
Lecture 13 - Subgroup
Lecture 14 - Cyclic Group
Lecture 15 - Subgroup Operations
Lecture 16 - Left Cosets
Lecture 17 - Right Cosets
Lecture 18 - Normal Subgroup
Lecture 19 - Rings
Lecture 20 - Field
Lecture 21 - Vector Spaces
Lecture 22 - Sub-Spaces
Lecture 23 - Linear Span
Lecture 24 - Basis of a Vector Space
Lecture 25 - Dimension of a Vector space
Lecture 26 - Complement of subspace
Lecture 27 - Linear Transformation
Lecture 28 - Linear Transformation (Continued...)
Lecture 29 - More on linear mapping
Lecture 30 - Linear Space
Lecture 31 - Rank of a matrix
Lecture 32 - Rank of a matrix (Continued...)
Lecture 33 - System of linear equations
Lecture 34 - Row rank and Column rank
Lecture 35 - Eigen value of a matrix
Lecture 36 - Eigen Vector
Lecture 37 - Geometric multiplicity
Lecture 38 - More on eigen value
Lecture 39 - Similar matrices
Lecture 40 - Diagonalisable