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Mathematics 12 Mathematics 12
UNIT I: Relations and Functions
- Domain, Range, Types
- Composition and Inverse Functions
- Binary Operations
UNIT II: Inverse Trigonometric Functions
- Definitions and Properties
- Graphs and Applications
- Solving Equations Involving Inverse Trigonometric Functions
UNIT III: Matrices and Determinants
- Matrix Operations: Addition, Multiplication
- Properties and Calculation
- Inverse of a Matrix
- Applications in Solving Linear Systems
UNIT IV: Continuity and Differentiability
- Concept of Continuity
- Differentiation: Rules and Techniques
- Applications of Derivatives
- Mean Value Theorem
UNIT V: Applications of Derivatives
UNIT VI: Integrals
- Indefinite Integrals: Basic Techniques
- Definite Integrals: Properties and Applications
- Fundamental Theorem of Calculus
- Applications in Area and Volume Calculation
UNIT VII: Differential Equations
- Formation and Solutions
- First Order Differential Equations
- Second Order Differential Equations
- Applications in Modeling Real-Life Problems
UNIT VIII: Vectors
- Vector Operations: Addition, Scalar Multiplication
- Dot Product and Cross Product
- Applications in Geometry and Physics
UNIT IX: Three-Dimensional Geometry
- Coordinates in 3D Space
- Plane and Line Equations
- Applications in Geometric Problems
UNIT X: Linear Programming
- Formulation of Linear Programming Problems
- Graphical Method for Solution
- Simplex Method
- Applications in Optimization
UNIT XI: Probability
- Probability Theory and Concepts
- Random Variables and Probability Distributions
- Theorems and Applications
- Problems on Probability
BETA
