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Discrete Mathematics

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Track :

Mathematics

Lessons no : 26

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What will you learn in this course?
  • Master combinatorial techniques for counting, permutations, and combinations in discrete mathematics contexts
  • Apply graph theory concepts to analyze networks, paths, and connectivity problems effectively
  • Utilize logical reasoning and propositional calculus to construct valid arguments and proofs
  • Solve problems involving set theory, relations, and functions with precision and clarity
  • Implement algorithms based on discrete structures for computer science and data analysis applications
  • Interpret and analyze discrete mathematical models to optimize solutions in real-world scenarios
  • Develop proficiency in Boolean algebra for digital circuit design and logical circuit simplification
  • Apply principles of discrete probability to assess risks and make data-driven decisions
  • Construct and analyze mathematical proofs involving induction, contradiction, and equivalence
  • Use discrete mathematics tools to model and solve complex problems in computer science and engineering

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Lessons | 26
L 0 Discrete Mathematics Syllabus for GATE UGC NET PSUs COLLEGE UNIVERSITY Exams
00:03:17

L 0 Discrete Mathematics Syllabus for GATE UGC NET PSUs COLLEGE UNIVERSITY Exams
L 1 1 Introduction to Set Theory | Set Subset Proper Subset
00:09:23

L 1 1 Introduction to Set Theory | Set Subset Proper Subset
L 1 2 Power Set | Set Theory Algebra
00:03:55

L 1 2 Power Set | Set Theory Algebra
L 2 1 Relation in Set Theory with examples
00:07:24

L 2 1 Relation in Set Theory with examples
L 2 2 Reflexive Relation with examples | Discrete Mathematics
00:11:41

L 2 2 Reflexive Relation with examples | Discrete Mathematics
L 2 3 How Many Reflexive Relations Possible | Discrete Mathematics Formulas
00:07:55

L 2 3 How Many Reflexive Relations Possible | Discrete Mathematics Formulas
L 2 4 Irreflexive Relation with examples | Discrete Mathematics
00:07:28

L 2 4 Irreflexive Relation with examples | Discrete Mathematics
L 2 5 Symmetric Relation with examples | Discrete Maths
00:06:40

L 2 5 Symmetric Relation with examples | Discrete Maths
Antisymmetric Relation with examples | Discrete Maths
00:06:54

Antisymmetric Relation with examples | Discrete Maths
Asymmetric vs Antisymmetric Relation with examples
00:06:53

Asymmetric vs Antisymmetric Relation with examples
Transitive Relation with examples
00:05:52

Transitive Relation with examples
Equivalence Relation in Discrete Mathematics with examples
00:06:12

Equivalence Relation in Discrete Mathematics with examples
Partial Order Relation | POSET in Discrete Mathematics
00:08:26

Partial Order Relation | POSET in Discrete Mathematics
Totally Ordered Set in Discrete Mathematics
00:07:35

Totally Ordered Set in Discrete Mathematics
Comparison of All Relations | Reflexive Irreflexive Transitive Symmetric Antisymmetric Asymmetric
00:16:30

Comparison of All Relations | Reflexive Irreflexive Transitive Symmetric Antisymmetric Asymmetric
Introduction to Group Theory | Discrete Mathematics
00:04:29

Introduction to Group Theory | Discrete Mathematics
Algebraic structure in Discrete Mathematics
00:08:07

Algebraic structure in Discrete Mathematics
Semigroup in Group Theory | Discrete Mathematics
00:08:22

Semigroup in Group Theory | Discrete Mathematics
Monoid in Discrete Mathematics | Group Theory
00:07:39

Monoid in Discrete Mathematics | Group Theory
Group in Discrete Mathematics with examples in Hindi
00:08:24

Group in Discrete Mathematics with examples in Hindi
Abelian Group in Discrete Mathematics with examples
00:05:32

Abelian Group in Discrete Mathematics with examples
Function in Discrete Mathematics
00:07:39

Function in Discrete Mathematics
How many Functions Possible | Counting Functions | Discrete Mathematics
00:07:50

How many Functions Possible | Counting Functions | Discrete Mathematics
One to One Function Injection | Injective Function
00:07:53

One to One Function Injection | Injective Function
ONTO Function Surjection | Surjective Function | Discrete Mathematics
00:08:01

ONTO Function Surjection | Surjective Function | Discrete Mathematics
Bijective Function Bijection | Discrete mathematics
00:03:22

Bijective Function Bijection | Discrete mathematics

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Discrete Mathematics

Discrete mathematics is the study of mathematical structures that are countable or otherwise distinct and separable. Examples of structures that are discrete are combinations, graphs, and logical statements.