Basics of Discrete Mathematics | Discrete Mathematics Full Course | Great Learning

Discrete mathematics is the branch of Mathematics concerned with non-continuous values. It forms the basis of various concepts such as compiler programming, machine learning, AI, etc,. But in order to understand those we first need to familiarize ourselves with the basics of discrete mathematics. SO to achieve that goal, let us take our first foray into this field and look into Set, Relation, and function theory and how these are related to each other.

Topics Covered:
00:02:39 Basics of Discrete Mathematics Part 1
00:03:40 Introduction to Discrete mathematics
00:10:48 Introduction to Set Theory
00:12:32 Types of Sets
00:19:17 Operations on Sets
00:28:55 Laws of Set Algebra
00:39:52 Sums on Algebra of Sets
00:47:15 Relations
00:54:43 Types of relations
01:03:00 Closure properties in relations
01:12:06 Equivalence relation
01:19:30 Partial ordered Relation
01:29:52 Functions
01:35:02 Types of Functions
01:57:24 Identity Functions
01:59:51 Composite Functions
02:06:32 Mathematical Functions
02:13:53 Summary of Basics of Discrete Mathematics Part 1
02:27:06 Basics of Discrete Mathematics Part 2
02:29:21 Introduction to Counting Principle
02:30:03 Sum and Product Rule
02:34:04 Pigeon-hole principle
02:43:36 Permutation and combination
02:59:24 Propositional logic
03:05:26 Connectives
03:15:07 Tautology
03:17:54 Contradiction
03:20:16 Contingency
03:22:35 Propositional equivalence
03:28:50 Inverse, Converse and contrapositive
03:33:55 Summary of Basics of Discrete Mathematics Part 2

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[vishyvish]

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[jarheadgorefield]

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[johnmamba]

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[twisted]

Thanks for the lecture.

will not it be Mazimum number of apples that need to pick to get 4 apples to be the same color? I can pick 4 apple at a time with same color(Possibility) at time 2:40:57

[erumyaseen]

there is a minor mistake while teaching permutations, at the time stamp2:50:48. while calculating P for arranging numbers, in the formula of permutation there should be (9-6)! in the denominator to get 3! which will then cancel out the 3! in the numerator. Making it equal to the logical calculated answer which was 9x9x8x7x6x5x4

[randomuser]

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[setupscraze]

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[rohanphilip]

Is his Discrete Mathematics applicable to the course BCA?

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[Data_Analysis_Explorer]

Excellent! Thank you for making it easier to understand!