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Mathematics
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Discrete Mathematics (V-U)
Discrete Mathematics (V-U)
(45 Lectures Available)
S#
Lecture
Course
Institute
Instructor
Discipline
1
1. Introduction to Discrete Math , Statements, Negation, Conjunction and Disjunction (V-U)
Discrete Mathematics (V-U)
Virtual University
Dr. Shoaib-ud- Din
Basic and Health Sciences
2
10. Application of Venn Diagram, Partition of a set , Power set (V-U)
Discrete Mathematics (V-U)
Virtual University
Dr. Shoaib-ud- Din
Basic and Health Sciences
3
11. Cartesian Product ,Relations And Their Representations (V-U)
Discrete Mathematics (V-U)
Virtual University
Dr. Shoaib-ud- Din
Basic and Health Sciences
4
12. Reflexive,Symmetric and Tranisitive and Equivalence Relations (V-U)
Discrete Mathematics (V-U)
Virtual University
Dr. Shoaib-ud- Din
Basic and Health Sciences
5
13. Irreflexive,Anti-symmetric and Partial order Relations (V-U)
Discrete Mathematics (V-U)
Virtual University
Dr. Shoaib-ud- Din
Basic and Health Sciences
6
14. Inverse ,Complementary ,Composite Relations (V-U)
Discrete Mathematics (V-U)
Virtual University
Dr. Shoaib-ud- Din
Basic and Health Sciences
7
15. Functions,Arrow Diagram,Grapgh of Functions (V-U)
Discrete Mathematics (V-U)
Virtual University
Dr. Shoaib-ud- Din
Basic and Health Sciences
8
16. Injective,Surjective and Bijective Functions (V-U)
Discrete Mathematics (V-U)
Virtual University
Dr. Shoaib-ud- Din
Basic and Health Sciences
9
17. Equality,Inverse and Composition of Functions (V-U)
Discrete Mathematics (V-U)
Virtual University
Dr. Shoaib-ud- Din
Basic and Health Sciences
10
18. Algebra of Functions, Image& Inverse Image Functions,Finite & Infinite sets (V-U)
Discrete Mathematics (V-U)
Virtual University
Dr. Shoaib-ud- Din
Basic and Health Sciences
11
19. Arithmetic and Geometric Sequences (V-U)
Discrete Mathematics (V-U)
Virtual University
Dr. Shoaib-ud- Din
Basic and Health Sciences
12
2. Truth Tables, Logical Equivalence and De Morgan`s Law (V-U)
Discrete Mathematics (V-U)
Virtual University
Dr. Shoaib-ud- Din
Basic and Health Sciences
13
20. Series, Arithmetic and Geometric Series (V-U)
Discrete Mathematics (V-U)
Virtual University
Dr. Shoaib-ud- Din
Basic and Health Sciences
14
21. Recursion , Recursively defined Functions and Sequences (V-U)
Discrete Mathematics (V-U)
Virtual University
Dr. Shoaib-ud- Din
Basic and Health Sciences
15
22. Recursive definition of Sets ,Union, Intersection ,Boolean Expressions etc (V-U)
Discrete Mathematics (V-U)
Virtual University
Dr. Shoaib-ud- Din
Basic and Health Sciences
16
23. Introduction to Mathematical Induction (V-U)
Discrete Mathematics (V-U)
Virtual University
Dr. Shoaib-ud- Din
Basic and Health Sciences
17
24. Mathematical I nduction for Divisibility and Inequalities (V-U)
Discrete Mathematics (V-U)
Virtual University
Dr. Shoaib-ud- Din
Basic and Health Sciences
18
25. Methods of Proof, Direct Proof, Disproof by counter example (V-U)
Discrete Mathematics (V-U)
Virtual University
Dr. Shoaib-ud- Din
Basic and Health Sciences
19
26. In direct Proof, Proof by Contradiction and Proof by Contraposition (V-U)
Discrete Mathematics (V-U)
Virtual University
Dr. Shoaib-ud- Din
Basic and Health Sciences
20
27. Pre-& Post-conditions of an Algorithm, Loop Invariant& Theorem (V-U)
Discrete Mathematics (V-U)
Virtual University
Dr. Shoaib-ud- Din
Basic and Health Sciences
21
28. Loop to compute a Product , Division Algorithm ,Euclidean Algorithm (V-U)
Discrete Mathematics (V-U)
Virtual University
Dr. Shoaib-ud- Din
Basic and Health Sciences
22
29. The Sum and Product Rule (V-U)
Discrete Mathematics (V-U)
Virtual University
Dr. Shoaib-ud- Din
Basic and Health Sciences
23
3. Laws of Logic their Applications and implications (V-U)
Discrete Mathematics (V-U)
Virtual University
Dr. Shoaib-ud- Din
Basic and Health Sciences
24
30. K- Sample , K – Permutation (V-U)
Discrete Mathematics (V-U)
Virtual University
Dr. Shoaib-ud- Din
Basic and Health Sciences
25
31. K – Combinations , K – Selections (V-U)
Discrete Mathematics (V-U)
Virtual University
Dr. Shoaib-ud- Din
Basic and Health Sciences
‹
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