Study Material of Mathematics

Video of Mathematics

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