## Nagpal institute of training and coaching

# MAths

### Course Module

## Module 1: Fundamentals of Mathematics

- 1.1 Number Systems and Operations
- 1.2 Properties of Numbers
- 1.3 Order of Operations
- 1.4 Fractions, Decimals, and Percentages
- 1.5 Exponents and Radicals

## Module 2: Algebra

- 2.1 Expressions and Equations
- 2.2 Solving Linear Equations and Inequalities
- 2.3 Systems of Linear Equations
- 2.4 Quadratic Equations
- 2.5 Polynomials and Factoring

## Module 3: Functions and Graphs

- 3.1 Introduction to Functions
- 3.2 Linear Functions and Graphs
- 3.3 Quadratic Functions and Graphs
- 3.4 Exponential and Logarithmic Functions
- 3.5 Transformations of Functions

## Module 4: Trigonometry

- 4.1 Trigonometric Ratios and Identities
- 4.2 Trigonometric Functions and Graphs
- 4.3 Solving Trigonometric Equations
- 4.4 Law of Sines and Law of Cosines
- 4.5 Applications of Trigonometry

## Module 5: Geometry

- 5.1 Basic Geometric Shapes and Properties
- 5.2 Congruence and Similarity
- 5.3 Polygons and Circles
- 5.4 Perimeter, Area, and Volume
- 5.5 Coordinate Geometry

## Module 6: Calculus

- 6.1 Limits and Continuity
- 6.2 Differentiation and Derivatives
- 6.3 Applications of Differentiation (Rate of Change, Optimization)
- 6.4 Integration and Antiderivatives
- 6.5 Applications of Integration (Area Under Curves, Volume of Solids)

## Module 7: Probability and Statistics

- 7.1 Basics of Probability
- 7.2 Discrete and Continuous Probability Distributions
- 7.3 Measures of Central Tendency (Mean, Median, Mode)
- 7.4 Measures of Dispersion (Variance, Standard Deviation)
- 7.5 Statistical Inference and Hypothesis Testing

## Module 8: Sequences and Series

- 8.1 Arithmetic Sequences and Series
- 8.2 Geometric Sequences and Series
- 8.3 Infinite Sequences and Series
- 8.4 Convergence and Divergence
- 8.5 Applications of Sequences and Series

## Module 9: Matrices and Vectors

- 9.1 Introduction to Matrices
- 9.2 Matrix Operations (Addition, Subtraction, Multiplication)
- 9.3 Determinants and Inverse Matrices
- 9.4 Vector Operations
- 9.5 Applications of Matrices and Vectors

## Module 10: Discrete Mathematics

- 10.1 Sets and Set Operations
- 10.2 Combinatorics (Permutations, Combinations)
- 10.3 Graph Theory
- 10.4 Logic and Propositional Calculus
- 10.5 Number Theory