Bridge Course in Mathematics

Set Theory: Introduction to Sets, Sets and their Representation, Tabular or Roster Method, Rule Method or Set Builder, Empty or Void or Null Set, Finite sets and Infinite sets, Proper Subset Improper Subset, Power Set, Universal Set, Open Interval, Closed Interval, Semi-Open or Semi Closed intervals, Infinite Intervals, Venn Diagrams, Operations on Sets, Union, Intersection of Sets, Disjoint Sets, Difference of Sets, Symmetric Difference of Sets, 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, Properties of Scalar Product, Vector Product or Cross Product, Properties of Vector Product.

Differentiation: Differentiation of elementary function and simple algebraic functions, Chain rule, Second order Differential, application of derivatives to find maxima and minima (simple problems).

Integration: Integration as a inverse process of Differentiation, Methods of Integration: Integration by Parts, Integration by Partial Fraction, Integration by Substitution (simple problems).