Mathematics

Complex Numbers and Quadratic Equations 97 5.1 Introduction 97 5.2 Complex Numbers 97 5.3 Algebra of Complex Numbers 98 5.4 The Modulus and the Conjugate of a Complex Number 102 5.5 Argand Plane and Polar Representation 104 5.6 Quadratic Equations 108

Principle of Mathematical Induction 86 4.1 Introduction 86 4.2 Motivation 87 4.3 The Principle of Mathematical Induction 88

Trigonometric Functions 49 3.1 Introduction 49 3.2 Angles 49 3.3 Trigonometric Functions 55 3.4 Trigonometric Functions of Sum and Difference of Two Angles 63 3.5 Trigonometric Equations 74

Relations and Functions 30 2.1 Introduction 30 2.2 Cartesian Product of Sets 30 2.3 Relations 34 2.4 Functions 36

Sets 1 1.1 Introduction 1 1.2 Sets and their Representations 1 1.3 The Empty Set 5 1.4 Finite and Infinite Sets 6 1.5 Equal Sets 7 1.6 Subsets 9 1.7 Power Set 12 1.8 Universal Set 12 1.9 Venn Diagrams 13 1.10 Operations on Sets 14 1.11 Complement of a Set 18 1.12 Practical Problems on Union and Intersection of Two Sets 21