| Sr.
No. |
Topic |
Subject |
Link |
| 1 |
Introduction to OR
Models |
Operation Research |
Download |
| 2 |
More OR Models |
Operation Research |
Download |
| 3 |
Graphical Method for
LPP |
Operation Research |
Download |
| 4 |
Convex sets |
Operation Research |
Download |
| 5 |
Simplex Method |
Operation Research |
Download |
| 6 |
Big M Method |
Operation Research |
Download |
| 7 |
Two Phase |
Operation Research |
Download |
| 8 |
Multiple solutions of
LPP |
Operation Research |
Download |
| 9 |
Unbounded solution of
LPP |
Operation Research |
Download |
| 10 |
Infeasible solution
of LPP |
Operation Research |
Download |
| 11 |
Revised Simplex
Method |
Operation Research |
Download |
| 12 |
Case studies and
Exercises - I |
Operation Research |
Download |
| 13 |
Case studies and
Exercises - II |
Operation Research |
Download |
| 14 |
Case studies and
Exercises - III |
Operation Research |
Download |
| 15 |
Primal Dual
Construction |
Operation Research |
Download |
| 16 |
Weak Duality Theorem |
Operation Research |
Download |
| 17 |
More Duality Theorems |
Operation Research |
Download |
| 18 |
Primal-Dual
relationship of solutions |
Operation Research |
Download |
| 19 |
Dual Simplex Method |
Operation Research |
Download |
| 20 |
Integer Programming |
Operation Research |
Download |
| 21 |
Transportation
Problem |
Operation Research |
Download |
| 22 |
Assignment Problem |
Operation Research |
Download |
| 23 |
Introduction, main
definitions |
Ring theory |
Download |
| 24 |
Examples of rings. |
Ring theory |
Download |
| 25 |
More examples |
Ring theory |
Download |
| 26 |
Polynomial rings 1 |
Ring theory |
Download |
| 27 |
Polynomial rings 2 |
Ring theory |
Download |
| 28 |
Homomorphisms |
Ring theory |
Download |
| 29 |
Kernels, ideals |
Ring theory |
Download |
| 30 |
Problems 1 |
Ring theory |
Download |
| 31 |
Problems 2 |
Ring theory |
Download |
| 32 |
Problems 3 |
Ring theory |
Download |
| 33 |
Quotient rings |
Ring theory |
Download |
| 34 |
First isomorphism and
correspondence theorems |
Ring theory |
Download |
| 35 |
Examples of
correspondence theorem |
Ring theory |
Download |
| 36 |
Prime ideals |
Ring theory |
Download |
| 37 |
Maximal ideals,
integral domains |
Ring theory |
Download |
| 38 |
Existence of maximal
ideals |
Ring theory |
Download |
| 39 |
Problems 4 |
Ring theory |
Download |
| 40 |
Problems 5 |
Ring theory |
Download |
| 41 |
Problems 6 |
Ring theory |
Download |
| 42 |
Field of fractions,
Noetherian rings 1 |
Ring theory |
Download |
| 43 |
Noetherian rings 2 |
Ring theory |
Download |
| 44 |
Hilbert Basis Theorem |
Ring theory |
Download |
| 45 |
Irreducible, prime
elements |
Ring theory |
Download |
| 46 |
Irreducible, prime
elements, GCD |
Ring theory |
Download |
| 47 |
Principal Ideal
Domains |
Ring theory |
Download |
| 48 |
Unique Factorization
Domains 1 |
Ring theory |
Download |
| 49 |
Unique Factorization
Domains 2 |
Ring theory |
Download |
| 50 |
Gauss Lemma |
Ring theory |
Download |
| 51 |
Z[X] is a UFD |
Ring theory |
Download |
| 52 |
Eisenstein criterion
and Problems 7 |
Ring theory |
Download |
| 53 |
Problems 8 |
Ring theory |
Download |
| 54 |
Problems 9 |
Ring theory |
Download |
| 55 |
Lecture 01: Set
Theory |
Group Theory |
Download |
| 56 |
Lecture 02: Set
Operations |
Group Theory |
Download |
| 57 |
Lecture 03: Set
Operations (contd.) |
Group Theory |
Download |
| 58 |
Lecture 04: Set of
sets |
Group Theory |
Download |
| 59 |
Lecture 05: Binary
relation |
Group Theory |
Download |
| 60 |
Lecture 06:
Equivalence relation |
Group Theory |
Download |
| 61 |
Lecture 07: Mapping |
Group Theory |
Download |
| 62 |
Lecture 08:
Permutation |
Group Theory |
Download |
| 63 |
Lecture 09: Binary
Composition |
Group Theory |
Download |
| 64 |
Lecture 10: Groupoid |
Group Theory |
Download |
| 65 |
Lecture 11 : Group |
Group Theory |
Download |
| 66 |
Lecture 12 : Order of
an element |
Group Theory |
Download |
| 67 |
Lecture 13 : Subgroup |
Group Theory |
Download |
| 68 |
Lecture 14 : Cyclic
Group |
Group Theory |
Download |
| 69 |
Lecture 15 : Subgroup
Operations |
Group Theory |
Download |
| 70 |
Lecture 16 : Left
Cosets |
Group Theory |
Download |
| 71 |
Lecture 17 : Right
Cosets |
Group Theory |
Download |
| 72 |
Lecture 18 : Normal
Subgroup |
Group Theory |
Download |
| 73 |
Lecture 21 : Vector
Spaces |
Linear Algebra |
Download |
| 74 |
Lecture 22 :
Sub-Spaces |
Linear Algebra |
Download |
| 75 |
Lecture 23 : Linear
Span |
Linear Algebra |
Download |
| 76 |
Lecture 24 : Basis of
a Vector Space |
Linear Algebra |
Download |
| 77 |
Lecture 25 :
Dimension of a Vector space |
Linear Algebra |
Download |
| 78 |
Lecture 26:
Complement of subspace |
Linear Algebra |
Download |
| 79 |
Lecture 27: Linear
Transformation |
Linear Algebra |
Download |
| 80 |
Lecture 2: Linear
Transformation (cont...) |
Linear Algebra |
Download |
| 81 |
Lecture 29: More on
linear mapping |
Linear Algebra |
Download |
| 82 |
Lecture 30: Linear
Space |
Linear Algebra |
Download |
| 83 |
Lecture 31: Rank of a
matrix |
Linear Algebra |
Download |
| 84 |
Lecture 32: Rank of a
matrix (cont....) |
Linear Algebra |
Download |
| 85 |
Lecture 33: System of
linear equations |
Linear Algebra |
Download |
| 86 |
Lecture 34: Row rank
and Column rank |
Linear Algebra |
Download |
| 87 |
Lecture 35: Eigen
value of a matrix |
Linear Algebra |
Download |
| 88 |
Lecture 36 : Eigen
Vector |
Linear Algebra |
Download |
| 89 |
Lecture 36 : Eigen
Vector |
Linear Algebra |
Download |
| 90 |
Lecture 37 :
Geometric multiplicity |
Linear Algebra |
Download |
| 91 |
Lecture 37 :
Geometric multiplicity |
Linear Algebra |
Download |
| 92 |
Lecture 38 : More on
eigen value |
Linear Algebra |
Download |
| 93 |
Lecture 38 : More on
eigen value |
Linear Algebra |
Download |
| 94 |
Lecture 39 : Similar
matrices |
Linear Algebra |
Download |
| 95 |
Lecture 39 : Similar
matrices |
Linear Algebra |
Download |
| 96 |
Lecture 40 :
Diagonalisable |
Linear Algebra |
Download |
| 97 |
Lecture 40 :
Diagonalisable |
Linear Algebra |
Download |
| 98 |
Real Number |
Real Analysis |
Download |
| 99 |
Sequences I |
Real Analysis |
Download |
| 100 |
Sequences II |
Real Analysis |
Download |
| 101 |
Sequences III |
Real Analysis |
Download |
| 102 |
Continuous Function |
Real Analysis |
Download |
| 103 |
Properties of
Continuous Function |
Real Analysis |
Download |
| 104 |
Uniform Continuity |
Real Analysis |
Download |
| 105 |
Differentiable
Functions |
Real Analysis |
Download |
| 106 |
Mean Value Theorem |
Real Analysis |
Download |
| 107 |
Maxima - Minima |
Real Analysis |
Download |
| 108 |
Taylor's Theorem |
Real Analysis |
Download |
| 109 |
Curve Sketching |
Real Analysis |
Download |
| 110 |
Infinite Series I |
Real Analysis |
Download |
| 111 |
Infinite Series II |
Real Analysis |
Download |
| 112 |
Tests of Convergence |
Real Analysis |
Download |
| 113 |
Power Series |
Real Analysis |
Download |
| 114 |
Riemann Integral |
Real Analysis |
Download |
| 115 |
Riemann Integrable
Functions |
Real Analysis |
Download |
| 116 |
Applications of
Riemann Integral |
Real Analysis |
Download |
| 117 |
Length of a curve |
Real Analysis |
Download |
| 118 |
Line Integrals |
Real Analysis |
Download |
| 119 |
Functions of Several
Variables |
Real Analysis |
Download |
| 120 |
Differentiation |
Real Analysis |
Download |
| 121 |
Derivatives |
Real Analysis |
Download |
| 122 |
Mean Value Theorem |
Real Analysis |
Download |
| 123 |
Maxima Minima |
Real Analysis |
Download |
| 124 |
Method of Lagrange
Multipliers |
Real Analysis |
Download |
| 125 |
Multiple Integrals |
Real Analysis |
Download |
| 126 |
Surface Integrals |
Real Analysis |
Download |
| 127 |
Green's Theorem |
Real Analysis |
Download |
| 128 |
Stokes Theorem |
Real Analysis |
Download |
| 129 |
Gauss Divergence
Theorem |
Real Analysis |
Download |
| 130 |
Elementary row
operations |
Real Analysis |
Download |
| 131 |
Echelon form of a
matrix |
Real Analysis |
Download |
| 132 |
Rank of a matrix |
Real Analysis |
Download |
| 133 |
System of Linear
Equations-I |
Real Analysis |
Download |
| 134 |
System of Linear
Equations-II |
Real Analysis |
Download |
| 135 |
Introduction to
Vector Spaces |
Real Analysis |
Download |
| 136 |
Subspaces |
Real Analysis |
Download |
| 137 |
Basis and Dimension |
Real Analysis |
Download |
| 138 |
Linear
Transformations |
Real Analysis |
Download |
| 139 |
Rank and Nullity |
Real Analysis |
Download |
| 140 |
Inverse of a Linear
Transformation |
Real Analysis |
Download |
| 141 |
Matrix Associated
with a LT |
Real Analysis |
Download |
| 142 |
Eigenvalues and
Eigenvectors |
Real Analysis |
Download |
| 143 |
Cayley-Hamilton
Theorem and Minimal Polynomial |
Real Analysis |
Download |
| 144 |
Diagonalization |
Real Analysis |
Download |
