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Discrete Mathematics - Vol 3
The course provided insights into various topics in discrete mathematics, emphasizing logical and mathematical thinking. Key areas covered included mathematical reasoning, combinatorial analysis, discrete structures, graph theory, abstract algebra, and number theory, highlighting their relevance in computer science fields such as algorithms and cryptography.
27 Chapters
4 weeks
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Course Chapters
Chapter 1
Euler Path and Euler Circuit
Chapter 2
Hamiltonian Circuit
Chapter 3
Vertex and Edge Colouring
Chapter 4
Prof. Ashish Choudhury
Chapter 5
Lecture - 54
Chapter 6
Question 9: Proving a Graphic Sequence
Chapter 7
Lecture - 55: Modular Arithmetic
Chapter 8
Prime Numbers and GCD
Chapter 9
Lecture – 57: Properties of GCD and Bezout’s Theorem
Chapter 10
Linear Congruence Equations and Chinese Remainder Theorem
Chapter 11
Uniqueness Proof of the CRT
Chapter 12
Introduction to Fermat’s Little Theorem and Primality Testing
Chapter 13
Group Theory
Chapter 14
Cyclic Groups
Chapter 15
Subgroups
Chapter 16
Lecture - 64
Chapter 17
More Applications of Groups
Chapter 18
Key Agreement and Secure Communication
Chapter 19
Rings, Fields and Polynomials
Chapter 20
Polynomials Over Fields and Properties
Chapter 21
Roots of a Polynomial
Chapter 22
Finite Fields and Properties I
Chapter 23
Roots of a Polynomial
Chapter 24
Finite Fields and Properties I
Chapter 25
Overview 41
Chapter 26
Basics 23
Chapter 27