ECS-304 : INFORMATION TECHNOLOGY INFRASTRUCTURE AND ITS MANAGEMENT
UNIT I:
INTRODUCTION-Information Technology, Computer Hardware, Computer Software, Network and Internet, Computing Resources,
IT INFRASTRUCTURE- Design Issues, Requirements, IT System Management Process, Service Management Process, Information System Design, IT
Infrastructure Library
ECS-303 : DISCRETE MATHEMATICAL STRUCTURES
Unit-I
Set Theory: Introduction, Combination of sets, Multisets, Ordered pairs. Proofs of some general identities on sets.
Relations: Definition, Operations on relations, Properties of relations, Composite Relations, Equality of relations, Recursive definition of relation, Order of relations. Functions: Definition, Classification of functions, Operations on functions, Recursively defined functions. Growth of Functions.
Natural Numbers: Introduction, Mathematical Induction, Variants of Induction, Induction with Nonzero Base cases. Proof Methods, Proof by counter – example, Proof by contradiction.