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Table Of Contents: SECTION I 1.????Mapping, Equivalence Relations and Partitions 2.????Congruence Modulo n 3.????Matrices 4.????Rank, Row Rank and Column Rank of a Matrix and Linear Equations 5.????Characteristic Roots and Characteristic Vectors SECTION II 6.????Relations between the Roots and Co-efficients of an Equations 7.????Transformations of Equations 8.????Descarte's Rule of Signs 9.????Solutions of General Cubic and Bi-quadratic Equation SECTION III 10.??Groups 11.??Subgroups 12.??Normal Subgroup 13.??Cyclic Groups 14.??Permutation Group 15.??Rings Subjects: College Mathematics,Topics in Series