Math

Lecture 1 : Sets and their representation

Lecture 2 : Types of sets: empty sets, finite and infinite sets, power set, universal set

Lecture 3 : Cardinality of sets & Subset and superset

Lecture 4 : Venn diagram; Operation on sets: union of sets & Operation on sets: intersection and difference of sets

Lecture 5 : Complement of sets

Lecture 6 : Practical problems on union and intersection of two sets

Lecture 7 : Revision

Lecture 1 : Cartesian product of sets

Lecture 2 : Relations

Lecture 3 : Function: domain and range; Identity function, constant function and modulus function; Graphs of polynomial function; Graphs of rational function & Algebra of real functions

Lecture 4 : Revision

Lecture 1 : Angles

Lecture 2 : Trigonometric functions & Domain and range of trigonometric functions

Lecture 3 : Trigonometric function of sum and difference of two angles

Lecture 4 : Trigonometric Equations

Lecture 5 : Revision

Lecture 1 : Introduction and motivation & The principle of mathematical induction

Lecture 2 : Revision

Lecture 1 : Algebra of complex numbers & Modulus and conjugate of complex numbers

Lecture 2 : Argand plane and polar representation

Lecture 3 : Quadratic equations & Euler’s formula and De Moivre’s theorem

Lecture 4 : Revision

Linear Inequalities

Permutations and Combinations

Binomial Theorem

Sequences and Series

Straight Lines

Conic Sections

Introduction to Three Dimensional Geometry

Limits and Derivatives

Mathematical Reasoning

Statistics

Probability