Topics
Relations and Functions
Relations and Functions
Inverse Trigonometric Functions
- Basics of Inverse Trigonometric Functions
- Domain, Range & Principal Value
- Graphs of Inverse Trigonometric Functions
- Overview of Inverse Trigonometric Functions
- Properties of Inverse Trigonometric Functions > Self-adjusting Property
- Properties of Inverse Trigonometric Functions > Reciprocal Property
- Properties of Inverse Trigonometric Functions > Negative Argument Property
- Properties of Inverse Trigonometric Functions > Complementary Property
- Properties of Inverse Trigonometric Functions > Conversion Property
- Properties of Inverse Trigonometric Functions > Addition & Subtraction Formula for Inverse Tangent
- Properties of Inverse Trigonometric Functions > Double-angle Property
- Properties of Inverse Trigonometric Functions > Triple-angle Property
- Properties of Inverse Trigonometric Functions > Addition–Subtraction Formula for Inverse Sine & Cosine
Algebra
Matrices
- Overview of Matrices
- Concept of Matrices
- Types of Matrices
- Equality of Matrices
- Types of Matrices
- Operations on Matrices> Addition and Subtraction of Matrices
- Operations on Matrices>Scalar Multiplication
- Operations on Matrices> Matrix Multiplication
- Transpose of a Matrix
- Symmetric and Skew Symmetric Matrices
- Invertible Matrices
Calculus
Probability
Determinants
Continuity and Differentiability
Linear Programming
Financial Mathematics
Applications of Derivatives
Integrals
Index numbers & Moving averages
Application of Calculus in Commerce and Economics
Differential Equations
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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