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

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