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Characterisitic Equation, Solution for Homogeneous , Examples, Solution of non-Homogeneous, Examples, and related Topics.
Sequence, Series, Generating Functions, Standard Gen. Functions, Examples, Recurrence Relation, Order and Degree of a Rec. Relation, Homogeneos Rec. Relation, and other topics.
Characterisitic Equation, Solution for Homogeneous , Examples, Solution of non-Homogeneous, Examples, and other topics.
Solution using Gen. Functions, Solving Differntial Equations, and other topics.
Inverse of an Element, Group, Abelian Group, Order of a Group, Order of An element, Cyclic Group, Product Group, Properties of a Group, Sub-Group, Cosets, Properties of a Coset, and other topics.
Introduction, n-ary operation, Algeraic System, Binary Operations, Semi-Group, Residue Class Modulo n, Identity, Monoid, and other topics.
Properties of Cosets (contd...), Lagrange's Theorem, Normal Subgroup, Qotient Group, Group Homomorphism, Group Automorphism, Group Isomorphism, and other topics.
Rings, Commutative Ring, Ring with no proper Divisors of 0, Ring with a unity, Unit of a Ring, Integral Domain, Field, Properties of Rings, Example, and other topics.
Ring Homomorphism and Kernel, Coding Theory, Weight of a code, Distance between codewords, Properties of distance function, and other topics.