Contents Foreword iii . Sets . Introduction . Sets and their Representations .
The Empty Set . Finite and Infinite Sets . Equal Sets . Subsets .
Power Set . Universal Set . Venn Diagrams . Operations on Sets .
Complement of a Set . Practical Problems on Union and Intersection of Two Sets . Relations and Functions . Introduction .
Cartesian Product of Sets . Relations . Functions . Trigonometric Functions .
Introduction . Angles . Trigonometric Functions . Trigonometric Functions of Sum and Difference of Two Angles .
Trigonometric Equations . Principle of Mathematical Induction . Introduction . Motivation .
The Principle of Mathematical Induction viii . Complex Numbers and Quadratic Equations . Introduction . Complex Numbers .
Algebra of Complex Numbers . The Modulus and the Conjugate of a Complex Number . Argand Plane and Polar Representation . Quadratic Equations .
Linear Inequalities . Introduction . Inequalities . Algebraic Solutions of Linear Inequalities in One Variable and their Graphical Representation .
Graphical Solution of Linear Inequalities in Two Variables . Solution of System of Linear Inequalities in Two Variables . Permutations and Combinations . Introduction .
Fundamental Principle of Counting . Permutations . Combinations . Binomial Theorem .
Introduction . Binomial Theorem for Positive Integral Indices . General and Middle Terms . Sequences and Series .
Introduction . Sequences . Series . Arithmetic Progression (A.P.) .
Geometric Progression (G.P.) . Relationship Between A.M. and G.M. .
Sum to n terms of Special Series . Straight Lines . Introduction . Slope of a Line .
Various Forms of the Equation of a Line . General Equation of a Line . Distance of a Point From a Line ix . Conic Sections .
Introduction . Sections of a