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Discrete Mathematics - Vol 1
The chapter focuses on the concept of functions in mathematics, encompassing various types of functions including injective, surjective, and bijective functions. It explains the fundamental characteristics of functions, such as their domain and co-domain, as well as the concepts of function composition and inverse functions. A detailed exploration of these topics aids in understanding their applications in discrete mathematics.
27 Chapters
4 weeks
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Course Chapters
Chapter 1
Introduction to Mathematical Logic
Chapter 2
Logical Equivalence
Chapter 3
SAT Problem
Chapter 4
Rules of Inference
Chapter 5
Resolution
Chapter 6
Tutorial 1: Part I
Chapter 7
Tutorial 1: Part II
Chapter 8
Predicate Logic
Chapter 9
Rules of Inferences in Predicate Logic - part A
Chapter 9
Nested Quantifiers = part B
Chapter 10
Proof Strategies-I
Chapter 11
Proof Strategies-II
Chapter 12
Induction
Chapter 13
Lecture - 13
Chapter 14
Lecture -14
Chapter 15
Sets
Chapter 16
Relations
Chapter 17
Irreflexive Relation
Chapter 18
Operations on Relations
Chapter 19
Transitive Closure of Relations
Chapter 20
Warshall’s Algorithm for Computing Transitive Closure
Chapter 21
Lecture -20
Chapter 21
Equivalence Relation
Chapter 22
Lecture -22
Chapter 23
Partial Ordering - part A
Chapter 23
Cover of an Element in a Poset - part B
Chapter 24