## Topics in Mathematics:

## Algebra:

- Sets
- Logarithms
- Complex Numbers
- Quadratic Equations
- Sequences and Series ✔
- Permutations and Combinations
- Principle of Mathematical Induction
- Binomial Theorem
- Determinant
- Matrices

## Calculus:

- Relations and Functions
- Limits
- Continuity ✔
- Differentiation (Derivatives)
- Applications of Derivatives ✔
- Indefinite Integration
- Definite Integration
- Application of Definite Integration
- Differential Equations
- Applications of Differential Equations

## Co – Ordinate Geometry:

- Distance and Section Formulae ✔
- Locus ✔
- Straight Lines ✔
- Circle
- Parabola
- Ellipse
- Hyperbola
- Pair of Straight Lines ✔
- Introduction to Three Dimensional Geometry
- Line in Space ✔
- Plane
- Sphere

## Trigonometry:

- Angle and It’s Measurement ✔
- Trigonometric Ratios ✔
- Trigonometric Functions of Compound Angles
- Factorization Formulae
- Trigonometric Equations
- Inverse Trigonometric Functions

## Vector Algebra:

- Scalars and Vectors
- Vector Products

## Statistics and Probability:

- Data Collection
- Data Analysis
- Deviations
- Bivariate Distribution
- Correlation and Regression
- Probability ✔

## Miscellaneous:

- Mathematical Logic
- Linear Programming
- Numerical Methods
- Boolean Algebra
- Mathematical Reasoning