Set Theory
Paper Code:
GMAT - 201
Credits:
4
Contact Hours:
60.00
Max. Marks:
100.00
Unit I:
I
9.00
Sets: Sets and their representations, Empty set, Finite and Infinite sets, Equal sets, Subsets, Subsets of a set of real numbers especially intervals (with notations). Universal set. Power set. Set operations(Union and Intersection of sets, Difference of sets, Complement of a set) with algebraic properties, Venn diagrams.
Unit II:
II
9.00
Relations: Ordered pairs. Cartesian product of sets. Definition of relation, pictorial diagrams, domain, co-domain and range of a relation.
Unit III:
III
9.00
Types of relations: reflexive, symmetric, Anti-symmetric, transitive and equivalence relations with examples.
Unit IV:
IV
9.00
Functions: Function as a special type of relation. Pictorial representation of a function, domain, co-domain and range of a function. Real valued functions: domain and range of these functions, composite functions,Invertible functions.
Unit V:
V
9.00
Type of functions: constant, identity, polynomial, rational, modulus, signum, exponential, logarithmic and greatest integer functions, with their graphs. Sum, difference, product and quotients of functions.One to one and onto functions.
Academic Year:
