Syllabus

Chapter 1 : Sets

Introduction - Sets and their Representations - The Empty Set - Finite and Infinite Sets - Equal Sets - Subsets - Universal Set - Venn Diagrams - Operations on Sets - Complement of a Set.

Chapter 2 : Relations and Functions

Introduction - Cartesian Product of Sets - Relations - Functions.

Chapter 3 : Trigonometric Functions

Introduction - Angles - Trigonometric Functions - Trigonometric Functions of Sum and Difference of Two Angles.

Chapter 4 : 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.

Chapter 5 : Linear Inequalities

Introduction - Inequalities - Algebraic Solutions of Linear Inequalities in One Variable and their Graphical Representation.

Chapter 6 : Permutations and Combinations

Introduction - Fundamental Principle of Counting - Permutations - Combinations.

Chapter 7 : Binomial Theorem

Introduction - Binomial Theorem for Positive Integral Indices.

Chapter 8 : Sequences and Series

Introduction - Sequences - Series - Geometric Progression (G.P.) - Relationship Between A.M. and G.M.

Chapter 9 : Straight Lines

Introduction - Slope of a Line - Various Forms of the Equation of a Line - Distance of a Point From a Line.

Chapter 10 : Conic Sections

Introduction - Sections of a Cone - Circle - Parabola - Ellipse - Hyperbola.

Chapter 11 : Introduction to Three Dimensional Geometry

Introduction - Coordinate Axes and Coordinate Planes in Three Dimensional Space - Coordinates of a Point in Space - Distance between Two Points.

Chapter 12 : Limits and Derivatives

Introduction - Intuitive Idea of Derivatives - Limits - Limits of Trigonometric Functions - Derivatives.

Chapter 13 : Statistics

Introduction - Measures of Dispersion - Range - Mean Deviation - Variance and Standard Deviation.

Chapter 14 : Probability

Event - Axiomatic Approach to Probability.

Sample Video Lectures