Weeks Weekly Lecture Topics
1 1 Relations
2 Equivalence Relations
3 Functions
2 4 Congruent Modulo n
5 Matrices
6 Adjoint and Inverse of Matrices
3 7 Rank of a matrix and Elementary Transformations
8 Determination of Rank using transformations
9 Elementary Matrices
4 10 Fundamental Results Rank and Inverse using transform
11 Solution of Homogeneous System of Equations
12 Method to find solution of Homogeneous System of Equations
5 13 Non Homogeneous System of Equations
14 Characteristic Roots and Vectors
15 Characteristic Space
6 16 Cayley Hamilton Theorem
17 Theory of Equations 1
18 Theory of Equations 2
7 19 Theory of Equations 3
20 Theory of Equations 4
21 Theory of Equations 5
8 22 Groups
23 Isomorphic Binary Structures
24 Properties of Groups ad Subgroups
9 25 Cyclic subgroups and Cyclic Groups
26 Permutations
27 Orbits and Cycles
10 28 Cosets and Theorem of Lagrange
29 Homomorphisms
30 Rings and fields
11 31 Integral Domains and Characteristic of a ring
32 De Moivres Theorem
33 Direct and Inverse Circular Hyperbolic Functions
12 34 Logarithm of Complex Quantity Expansion of Trigonometric Functions
35 Summation of Series
13 36 Summation of Finite and Infinite Series
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