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3. MODERN MATHEMATICS 







3.1 Introduction to Sets(Finite, Infinite,Null, Sub, Universal set, Elements) 
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3.2 Sets Part 1(Union, Intersection, Venn diagram, compliment, difference) 
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3.3 Sets Part 2 (Associative, commutative, distributive properties of sets, De Morgan’s laws. Relationship between numbers of elements of sets,Cartesian product) 
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3.4 Introduction to Matrices(Rows, columns, order) 


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3.5 Types of matricesSquare, Rectangular, Diagonal, Symmetric, Zero, Skew, Identity, Transpose) 


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3.6 Matrix operations(Addition,Subtraction, Multiplication, Properties, Determinant,Inverse, solving linear equations, Cramer's rule) 


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3.7 Modular Arithmetic(Modulo addition, multiplication, Caley’s table) 






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3.8 Relations and Functions(Domain, Range,Types of relations,Types of functions) 


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