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Discrete Mathematical Structures

Discrete Mathematical Structures. Instructor: Dr. Kamala Krithivasan, Department of Computer Science and Engineering, IIT Madras. This course deals with topics about discrete mathematical structures. Discrete Mathematics is a study of discrete structures which are abstract mathematical models dealing with discrete objects and their relationship between them. This course covers lessons in logic, sets, relations, functions, graphs, combinatorics, recurrence relations, algebras and finite state automaton. The aim of this course is not only make people learn about these topics, but also help them to develop the habit of thinking mathematically. (from nptel.ac.in)

Lecture 19 - Closure of Relations


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Lecture 01 - Propositional Logic
Lecture 02 - Propositional Logic (cont.)
Lecture 03 - Predicates and Quantifiers
Lecture 04 - Predicates and Quantifiers (cont.)
Lecture 05 - Logical Inference
Lecture 06 - Resolution Principles and Application to PROLOG
Lecture 07 - Methods of Proof
Lecture 08 - Normal Forms
Lecture 09 - Proving Programs Correct
Lecture 10 - Sets
Lecture 11 - Induction
Lecture 12 - Set Operations on Strings over an Alphabet
Lecture 13 - Relations
Lecture 14 - Graphs
Lecture 15 - Graphs (cont.)
Lecture 16 - Trees
Lecture 17 - Trees and Graphs
Lecture 18 - Special Properties of Relations
Lecture 19 - Closure of Relations
Lecture 20 - Closure Properties of Relations
Lecture 21 - Order Relations
Lecture 22 - Order Relations and Equivalence Relations
Lecture 23 - Equivalence Relations and Partitions
Lecture 24 - Functions
Lecture 25 - Functions (cont.)
Lecture 26 - Functions (cont.)
Lecture 27 - Pigeonhole Principle
Lecture 28 - Permutations and Combinations
Lecture 29 - Permutations and Combinations (cont.)
Lecture 30 - Generating Functions
Lecture 31 - Generating Functions (cont.)
Lecture 32 - Recurrence Relations
Lecture 33 - Recurrence Relations (cont.)
Lecture 34 - Recurrence Relations (cont.)
Lecture 35 - Algebras
Lecture 36 - Algebras (cont.)
Lecture 37 - Algebras (cont.)
Lecture 38 - Finite State Automaton
Lecture 39 - Finite State Automaton (cont.)
Lecture 40 - Lattices