Topics
Relations and Functions
- Fundamental Concepts of Ordered Pairs and Relations
- Types of Relations
- Equivalence Class and Relation
- Congruence Modulo
- Domain and Range of a Function
- Real-Valued and Real Functions
- Types of Functions
- Composition of Functions
- Invertible Functions
- Binary Operations
- Overview of Relations and Functions
Section A
Inverse Trigonometric Functions
Section B
Matrices
Section C
Determinants
Continuity and Differentiability
Indeterminate Forms
Applications of Derivatives
Integrals
Differential Equations
Probability
Vectors
Three Dimensional Geometry
Applications of Integrals
Application of Calculus in Commerce and Economics
Linear Regression
Linear Programming
Estimated time: 3 minutes
Maharashtra State Board: Class 12
Definition: Function
f: X → Y is a function if each element of X is associated with a unique element of Y
Maharashtra State Board: Class 12
Definition: Domain & Codomain
- Domain (X): Set of all input values
- Codomain (Y): Set of all possible outputs
Maharashtra State Board: Class 12
Definition: Range
- Range: Set of actual output values of f
- Range ⊆ Codomain
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