| Topics | Karnataka | CBSE | ICSE | Maharashtra | Kerala | Andhra Pradesh | Tamilnadu |
|---|---|---|---|---|---|---|---|
| 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 | ||||