BE Computer Engineering Semester 3 (SE Second Year)University of Mumbai
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Discrete Structures Semester 3 (SE Second Year) BE Computer Engineering University of Mumbai Topics and Syllabus

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CBCGS [2017 - current]
CBGS [2013 - 2016]
Old [2000 - 2012]

Topics with syllabus and resources

100.00 Set Theory
  • Sets, Venn diagrams, Operations on Sets
  • Laws of set theory, Power set and Products
  • Partitions of sets, The Principle of Inclusion and Exclusion
200.00 Logic
  • Propositions and logical operations, Truth tables
  • Equivalence, Implications
  • Laws of logic, Normal Forms
  • Predicates and Quantifiers
  • Mathematical Induction
300.00 Relations, Digraphs and Lattices
  • Relations, Paths and Digraphs
  • Properties and types of binary relations
  • Manipulation of relations, Closures, Warshall’s algorithm
  • Equivalence and partial ordered relations
  • Posets and Hasse diagram
  • Lattice
400.00 Functions and Pigeon Hole Principle
  • Definition and types of functions:- Injective, Surjective and Bijective
  • Composition, Identity and Inverse
  • Pigeon-hole principle
500.00 Generating Functions and Recurrence Relations
  • Series and Sequences
  • Generating functions
  • Recurrence relations
  • Recursive Functions:- Applications of recurrence relations e,g, Factorial, Fibonacci, Binary search, Quick Sort etc.
600.00 Graphs and Subgraphs
  • Definitions, Paths and circuits:- Eulerian and Hamiltonian
  • Planer graphs, Graph coloring
  • Isomorphism of graphs
  • Subgraphs and Subgraph isomorphism
700.00 Trees
  • Trees and weighted trees
  • Spanning trees and minimum spanning tree
  • Isomorphism of trees and sub trees
  • Prefix codes
800.00 Algebraic Structures
  • Algebraic structures with one binary operation:- semigroup, monoids and groups
  • Product and quotient of algebraic structures
  • Isomorphism, Homomorphism and Automorphism
  • Cyclic groups, Normal subgroups
  • Codes and group codes
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