PDF of Mumbai University

Hi buddy here I am looking for University of Mumbai S.Y.B.Sc. I.T. program syllabus in pdf mode , if you have then plz provide me ???

[shikha]

As you are asking for University of Mumbai S.Y.B.Sc. I.T. program syllabus in pdf mode, so on your demand I am providing same :

Here is some content from pdf :

Unit-I
Sel Theory: Fundamentals - Sets and subsets, Venn Diagrams, Operations on sets,
Lavzs of Set Theory, Power Sets and Products, Partition of sets, The principle of
Inclusion-Exclusion.
LoUie: Propositions and Logical operations, Truth tables, Equivalence, Implications,
Laws of Logic, Normal forms, Predicates and quantifiers, Mathematical Induction

Unlt-ll
Relations, diagraphs and lattices: - Product sets and partitions, relations and
digraphs, paths in relations and digraphs, properties of relations, equivalence and
partially ordered relations, computer representation of relations and digraphs,
manipulation of relations, Transitive closure and Warshall's algorithm, Posets and
Hasse Diagrams, Lattice.

Unit-III
Functions
and Pigeon Hole Principle:
Definitions and types of functions:
injuctive, surjective and bijective, Composition, identity and inverse, Pigeon
hole principle.
-

Unit-IV
Graphs and Trees: Graphs, Euler paths and circuits, Hamiltonian paths and circuits,
Planer graphs, coloring graphs, Isomorphism of Graphs.
Trees: Trees, rooted trees and path length in rooted trees, Spanning tree
and Minimal Spanning tree, Isomorphism of trees, Weighted trees and Prefix
Codes.
3

Unit-V
Algebraic Structures: Algebraic structures with one binary operation - semi groups,
rnonolds and groups, Product and quotient of algebraic structures, Isomorphism,
homomorphism, automorphism, Cyclic groups, Normal sub group, codes and group
codes, Algebraic structures with two binary operations - rings, integral domains and
fields. Ring homomorphism and Isomorphism.

Unit-VI
Gellerating
Functions
and Recurrence
relations:
Series and Sequences,
Gellerating
Functions, Recurrence relations, Applications, Solving difference
equations, Fibonacci

University of Mumbai S.Y.B.Sc. I.T. program syllabus
archive.mu.ac.in/myweb_test/syllsybscitsem1&2.pdf