Topics
Sets, Relations and Functions
- Basics of Relations & Functions
- Constants and Variables, Intervals and Neighbourhoods
- Domain and Range of a Function
- Graphing Functions Using Transformations
Basic Algebra
- Introduction to Basic Algebra
- Real Number System
- Absolute Value
- Linear Inequations
- Quadratic Functions
- Function and Polynomial
- Rational Functions
- Exponents and Radicals
- Logarithms
- Application of Algebra in Real Life
Trigonometry
- Trigonometric Ratios
- A Recall of Basic Results
- Radian Measure
- Trigonometric Functions and Their Properties
- Trigonometric Equations
- Properties of Triangle
- Application to Triangle
Combinatorics and Mathematical Induction
- Combinatorics and Mathematical Induction
- Fundamental Principles of Counting
- Factorials
- Permutations
- Combination
- Mathematical Induction
Binomial Theorem, Sequences and Series
- Introduction to Binomial Theorem, Sequences and Series
- Binomial Theorem
- Particular Cases of Binomial Theorem
- Finite Sequences
- Finite Series
- Infinite Sequences and Series
Two Dimensional Analytical Geometry
- Introduction to Two Dimensional Analytical Geometry
- Locus
- Equations of Line in Different Forms
- Angle Between Two Straight Lines
- Pair of Straight Lines
Matrices and Determinants
Vector Algebra
Differential Calculus - Limits and Continuity
Differential Calculus - Differentiability and Methods of Differentiation
- Differential Calculus
- The Concept of Derivative
- Concept of Differentiability
- Differentiation Rules
Integral Calculus
- Integral Calculus
- Newton-leibnitz Integral
- Basic Rules of Integration
- Integrals of the Form
- Properties of Integrals
- Simple Applications
- Methods of Integration
Introduction to Probability Theory
- Basic Definitions
- Finite Sample Space
- Concept of Probability
- Some Basic Theorems on Probability
- Conditional Probability
- Bayes’ Theorem
- Decomposition method
- Decomposition by Partial Fractions
- Method of substitution or change of variable
- Important Results
- Integration by parts
- Bernoulli’s formula for Integration by Parts
- Integrals of the form
- Integration of Rational Algebraic Functions
