Course Contents
- a. Introduction to Set Theory
b. Types of Set
c. Builder Notation Form/Roaster Form
d. Basic Operations on Set (Union, Intersection)
- Functions
- Types of Function
- a. De Morgan’s Law
- Distributive Law
- Commutative Law
- Associative Law
- a. Introduction to Number Theory
- Real Number System
- Complex Number System
- a. Linear Equations
b. Single Variable Equations
c. Multi Variable Equations
- a. Matrices
b. Introduction to Matrices
c. Types of Matrices
7. a. Matrix inverse
b. Determinant
- a. Quadratic Equations
b. Solution of a Quadratic Equation
c. Qualitative Analysis of Roots of a Quadratic Equation
- a. Equation Reducible to Quadratic Equation
b. Cube Roots of Unity
c. Relation between Roots & Coefficient of Quadratic Equations
- a Sequence & Series
- Arithmetic Progression
- Geometric Progression
- Harmonic Progression
- a. Trigonometry
- Fundamentals of Trigonometry
- Trigonometric Identities
- a. Binomial Theorem
- Introduction to Mathematical Induction
- Binomial Theorem with Rational & Irrational Indices
13. a. Mean
b. Mode
c. Medium