Bridge Course in Mathematics Analysis

Set Theory: Introduction to Sets and their Representation, Finite sets and Infinite sets, Subsets, Power Set, Universal Set, Venn Diagrams, Operations on Sets, Union, Intersection of Sets, Disjoint Sets, Set Difference, Complement of a Set, Laws of Algebra of Sets.

Vector Algebra: Vectors, Types of Vectors, Operations on Vectors, Addition of Vectors Properties of Operation of Addition, Subtraction, Properties of Operation of Subtraction Multiplication by a scalar, Product of Two Vectors, Scalar Product or Dot Product of Two Vectors.

Sequence and Series: Arithmetic Progression (A.P.). Arithmetic Mean (A.M.), Geometric Progression (G.P.), general term of a G.P., Sum of n terms of a G.P, geometric mean (G.M.), Relation between A.M. and G.M.

Basic Concepts of Differentiation and Integration : Differentiation of elementary function   and simple algebraic functions, Chain rule, Integration as an inverse process of Differentiation, integration of simple functions.