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3. MODERN MATHEMATICS              
3.1 Introduction to Sets(Finite, Infinite,Null, Sub, Universal set, Elements) 9 9   8 9
3.2 Sets- Part 1(Union, Intersection, Venn diagram, compliment, difference) 9 9   8 9
3.3 Sets- Part 2 (Associative, commutative, distributive properties of sets, De Morgan’s laws. Relationship between numbers of elements of sets,Cartesian product) 10     8 9,10
3.4 Introduction to Matrices(Rows, columns, order) 10   9
3.5 Types of matricesSquare, Rectangular, Diagonal, Symmetric, Zero, Skew, Identity, Transpose) 10   9
3.6 Matrix operations(Addition,Subtraction, Multiplication, Properties, Determinant,Inverse, solving linear equations, Cramer's rule) 10   9,10
3.7 Modular Arithmetic(Modulo addition, multiplication, Caley’s table)   10
3.8 Relations and Functions(Domain, Range,Types of relations,Types of functions) 10   8,9,10 10