Explore the fundamental concepts of discrete mathematics in this comprehensive course. Delve into topics such as permutations and combinations, trees and graphs, functions, and the pigeonhole principle. Examine order relations, equivalence relations, and partitions. Study generating functions, closure properties of relations, and special properties of relations. Investigate recurrence relations, finite state automata, algebras, and lattices. Gain a solid foundation in discrete mathematical structures essential for computer science and advanced mathematics.
Overview
Syllabus
Permutations and Combinations.
Trees and Graphs.
Functions.
Pigeonhole principle.
Trees.
Equivalence Relations and partitions.
Graphs (Continued.).
Functions (Continued).
Order and Relations and Equivalence Relations.
Graphs.
Order Relations.
Generating Functions (Continued).
Closure of Relations.
Closure Properties of Relations (Contd..).
Generating Functions.
Special properties of Relations.
Functions (Continued).
Algebras (Continued).
Algebras.
Recurrence Relations (Continued).
Recurrence Relations (Continued).
Recurrence Relations.
Finite State Automaton.
Algebras (Continued).
Lattices.
Finite State Automaton (Continued).
Taught by
Ch 30 NIOS: Gyanamrit
