1 The Foundations: Logic and Proofs . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 1 1.1 Propositional Logic . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 1 1.2 Applications of Propositional Logic . . . . . . . . . . . . . . . . . . . . . . . . . . ....
SYLLABUS Unit-I Set Theory: Introduction, Combination of sets, Multisets, Ordered pairs,Set Identities. Relations: Definition, Operations on relations, Properties of relations, Composite Relations, Equality of relations, Order of relations. Functions: Definition, Classification of functions,Operations on functions, Recursively defined function....
Set : Any well defined collection of distinct objects is called a set. The objects in a set can be numbers, people, letters, rivers, countries etc. The objects in a set are called the elements or members of the set. Examples : 1. The set of numbers 4, 6, 8, 10. 2. The set of letters a, e, i, o, u.