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Learn, Understand, Discuss. "GO" for the Best.
star star star star star | 5.0 (71 ratings) |
Instructor: Deepak Poonia (MTech IISc Bangalore, GATE CSE AIR 53; 67)
Language: English
Enrolled Learners: 6917
Validity Period: Lifetime
GO Classes Complete Discrete Mathematics and C-Programming Courses are FREE for all learners. Sign up and start learning.
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Features of the course:
One-Stop-Solution for your Complete Best GATE Preparation!!
1. Quality Content: No Rote-learning. No poor understadning. No By-hearting of formulas, tables or theorems. Understand everything with proofs-intuitions-ideas.
2. No Prerequisites: Every concept is taught from basics, without assuming any prior knowledge whatsoever.
3. Daily Homeworks: Practice material, with solutions, for Every Lecture to test your understanding of concepts of that respective lecture.
4. GATE PYQs Video Solution: Detailed Video Solution of All GATE Previous Years' Questions, with Complete Analysis of each question.
5. Summary Lectures: Short videos which summarises everything concept and detail of the course. Helps in quick revision.
6. Quality Practice Sets: Practice Sets from standard resources, with solutions, containing a lot of quality questions for practice.
7. Weekly Quizzes: Every week, there will be a Live Quiz, containing 15-20 questions, to evaluate your understanding of concepts taught in the previous week. The Quiz questions can be seen, solved even after tha live quiz is over.
8. Doubt Resolution: All of your doubts will be resolved directly by the faculty. There is a dedicated Telegram group for Enrolled Students of Goclasses where our faculties resolve students' Doubts. So, our students don't have to go anywhere else for asking doubts.
Module 1 - Fundamentals of CSE | |||
About Lecture 1 & 2 : Proof Techniques | |||
Lecture 1 - Proof Techniques Part 1 Direct, Contraposition Proof | |||
Notes 1 - Lecture 1 Proof Techniques Annotated Notes (114 pages) | |||
HomeWork 1 - Proof Techniques (30 pages) | |||
Lecture 2 - Proof Techniques Part 2 Proof by Contradiction, Induction | |||
Notes 2 - Lecture 2 Proof Techniques Part 2 Annotated Notes (149 pages) | |||
HomeWork 2 - Proof Techniques (34 pages) | |||
Lecture 3 - Number Theory Basics | |||
Notes 3 - Lecture 3 AP GP AGP (68 pages) | |||
HomeWork 3 - AP GP AGP (13 pages) | |||
Summary 3 AP GP AGP 14:00 | |||
Lecture 4 - Modular Arithmetic | |||
Notes 4 - Modular Arithmetic (79 pages) | |||
HomeWork 4 - Modular Arithmetic (18 pages) | |||
Summary 4 Modular Arithmetic 14:00 | |||
Quiz - Fundamentals of CSE | |||
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Mathematical Logic : Propositional Logic | |||
Lecture 5 - Introduction to Propositional Logic 146:00 | |||
Notes 5 - Lecture 5 Propositional Logic Annotated Notes (87 pages) | |||
Summary Lecture 1 - Introduction to Discrete Mathematics 4:00 | |||
Summary Lecture 2 - Introduction to Mathematical Logic | |||
Summary Lecture 3 - Proposition, Propositional Variable, Truth Value 8:00 | |||
Summary Lecture 4 - Compound Proposition, Atomic Proposition 5:00 | |||
Summary Lecture 5 - Logical Connectives 4:00 | |||
Lecture 6 - Logical Connectives | |||
Diagram Representation of Implication | |||
Notes 6 - Lecture 6 Logical Connectives Annotated Notes (122 pages) | |||
HomeWork 5,6 - Propositions, Logical Connectives (51 pages) | |||
Lecture 7 - Implication & Bi-implication | |||
Notes 7 - Lecture 7 Implication and Bi-implication Annotated Notes (130 pages) | |||
HomeWork 7 - Implication Biimplication (22 pages) | |||
Lecture 8 - Tautology, Equivalence, Truth Table | |||
Notes 8 - Lecture 8 Tautology, Equivalence, Truth Table Annotated Notes (116 pages) | |||
HomeWork 8 - Tautology,Equivalence,Truth Table (25 pages) | |||
Lecture 9 - Analysis of Implication, Logical Identities | |||
Notes 9 - Lecture 9 Analysis of Implication, Logical Identities Annotated Notes (107 pages) | |||
Lecture 10 - Analysis of Implication, Satisfiability | |||
Notes 10 - Lecture 10 Analysis of Implication, Satisfiability Annotated Notes (88 pages) | |||
Propositional Variable Vs Propositional Formula 40:00 | |||
GATE CSE 1991 Question 27:00 | |||
GO Classes Weekly Quiz 3 Question 1 12:00 | |||
GO Classes Weekly Quiz 3 Question 2 4:00 | |||
GO Classes Weekly Quiz 3 Question 3 14:00 | |||
Lecture 11 - English-Logic Translation, Converse, Unless Word | |||
Notes 11 - Lecture 11 Converse,English-Logic Translation, Unless, Annotated Notes (152 pages) | |||
HomeWork 9-10-11 - English-Logic Translation, Converse, Equivalence (28 pages) | |||
Lecture 12 - Arguments, Logical Inference 147:00 | |||
Notes 12 - Lecture 12 Arguments, Logical Inference Annotated Notes (102 pages) | |||
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Mathematical Logic : First Order Logic | |||
Lecture 13 - Domain, Predicates, Quantifiers | |||
Notes 13 - Lecture 13 First Order Logic Predicate Quantifier Domain Annotated Notes (142 pages) | |||
Lecture 14 - Quantifiers | |||
Notes 14 - Lecture 14 Quantifiers Annotated Notes (101 pages) | |||
Lecture 15 - Scope, Bounded & Free Variables | |||
Notes 15 - Lecture 15 - Scope, Bounded & Free Variable Annotated Notes (145 pages) | |||
Lecture 16 - English-FOL Translation | |||
Notes 16 - Lecture 16 - English-FOL Translation Annotated Notes (106 pages) | |||
English to Logic Translation Part 1 69:00 | |||
English to First Order Logic Translation Part 2 36:00 | |||
English to First Order Logic Translation Part 3 37:00 | |||
English to First Order Logic Translation Examples Part 4 23:00 | |||
Notes - English-FOL Translation Examples Part 1-4 Annotated Notes (133 pages) | |||
Nested Quantifiers Part 1 - Need of Nested Quantifiers 17:00 | |||
Nested Quantifiers Part 2 - All Four Standard Templates 27:00 | |||
Nested Quantifiers Part 3 - Examples, Variations 27:00 | |||
Notes - Nested Quantifiers Annotated Notes (109 pages) | |||
Lecture 17 - Negation, Interpretation, Model in FOL | |||
Notes 17 - Lecture 17 Negation Interpretation Model in FOL Annotated Notes (134 pages) | |||
Lecture 18 - Uniqueness, Validity, Distribution of Quantifiers | |||
Notes 18 - Lecture 18 Uniqueness Validity Distribution of Quantifiers Annotated Notes (132 pages) | |||
Lecture 19 - Null Quantification Rules, Arguments in FOL, Tautology in FOL | |||
Notes 19 - Lecture 19 Null Quantification Arguments Tautology in FOL Annotated Notes (141 pages) | |||
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Set Theory | |||
Lecture 1 - Set, Subset, Set Builder Notation | |||
Notes 1 - Lecture 1 Set, Subset, Set Builder Notation Annotated Notes (153 pages) | |||
Lecture 2 - Set Operations, Set Equality | |||
Notes 2 - Lecture 2 Set Operations, Set Equality Annotated Notes (142 pages) | |||
HomeWork 1-2 Set Theory Set, Subset, Set Equality, Venn Diagram (81 pages) | |||
Lecture 2.1 - Understanding Set Operations 42:00 | |||
Notes - Understanding Set Operations Annotated Notes (41 pages) | |||
Lecture 2.2 - Proofs involving Sets, Set Equality, Subset 37:00 | |||
Lecture 2.3 - Set Identities 50:00 | |||
Lecture 2.4 - Proofs involving Power Sets 13:00 | |||
Notes - Lecture 2.2,2.3,2.4 Proofs involving Sets Annotated Notes (102 pages) | |||
Lecture 3 - Relations | |||
Notes 3- Lecture 3 Relations Annotated Notes (103 pages) | |||
Lecture 4 - Properties of Relations, Equivalence Relation | |||
Notes 4 - Lecture 4 Properties of Relations, Equivalence Relation Annotated Notes (126 pages) | |||
Lecture 5 - Equivalence Relation | |||
Notes 5 - Lecture 5 Equivalence Relation Annotated Notes (125 pages) | |||
Summary - Partition of a Set 18:00 | |||
Notes - Summary Lecture Partition of a Set Annotated Notes (37 pages) | |||
Summary - Equivalence Relations | |||
Notes - Summary Lecture Equivalence Relations Annotated Notes (38 pages) | |||
Lecture 6 - Equivalence Relation, Partial Order Relation 138:00 | |||
Notes 6- Lecture 6 Equivalence Relation, Partial Order Relations Annotated Notes (117 pages) | |||
Lecture 7 - POSET, Hasse Diagram, Lattices | |||
Notes 7 - Lecture 7 Partial Order Relations Annotated Notes (109 pages) | |||
Lecture 8 - Lattices | |||
Notes 8 - Lecture 8 Lattices Annotated Notes (66 pages) | |||
Homework 3-8 Set Theory Relations, Equivalence Relation, POSET (77 pages) | |||
Lecture 9 - Lattices | |||
Notes 9 - Lecture 9 Lattice Annotated Notes (112 pages) | |||
Lecture 10 - Sublattice, Types of Lattices | |||
Notes 10 - Lecture 10 Sublattice, Types of lattices Annotated Notes (91 pages) | |||
Questions related to Maximal, Minimal, Greatest, Least Elements in a POSET 48:00 | |||
Questions related to Maximal, Minimal, Greatest, Least Elements in a Lattice 25:00 | |||
Questions related to Maximal Minimal Greatest Least Elements Annotated Pics (84 pages) | |||
Lecture 11 - Types of Lattices | |||
Notes 11 - Lecture 11 Types of lattices Annotated Notes (156 pages) | |||
Lecture 12 - Boolean Lattices and Practice Questions | |||
Notes 12 - Lecture 12 Boolean Lattices and Practice Annotated Notes (138 pages) | |||
Divisibility Relation Analysis Part 1 30:00 | |||
Divisibility Lattice Dn - Part 2 51:00 | |||
Notes - Division Lattice Dn Complete Analysis Annotated Notes (72 pages) | |||
Lecture 13 - Refinement of a Partition 143:00 | |||
Notes - Lecture 13 - Refinement of a Partition Annotated Notes (137 pages) | |||
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Functions | |||
Lecture 1 - Introduction to Functions | |||
Notes 1 - Lecture 1 Introduction to Functions Annotated Notes (102 pages) | |||
Lecture 2 - Function Composition, Relation Operations | |||
Notes 2 - Lecture 2 Function Composition, Relation Operations Annotated Notes (102 pages) | |||
Inverse of a Function | |||
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Group Theory | |||
Lecture 1 - Introduction to Abstract Algebra & Group Theory | |||
Notes 1 - Lecture 1 Introduction to Abstract Algebra & Group Theory Annotated Notes (119 pages) | |||
Lecture 2 - Monoids, Groups, Abelian Group | |||
Notes 2 - Lecture 2 Monoids, Groups, Abelian Group Annotated Notes (166 pages) | |||
Homework 1-2 Group Theory (58 pages) | |||
Lecture 3 - Some Important Groups, Group Properties | |||
Notes 3 - Lecture 3 Some Important Groups, Group Properties Annotated Notes (127 pages) | |||
Lecture 4 - Group Properties, Cayley Table | |||
Notes 4 - Lecture 4 Group Properties, Cayley Table Annotated Notes (106 pages) | |||
Lecture 5 - Subgroups, Generators | |||
Notes 5 - Lecture 5 Subgroups, Generators Annotated Notes (110 pages) | |||
Lecture 6 - Order of an element, Cyclic Groups | |||
Lecture 6 - Order of an element, Cyclic Groups Annotated Notes (106 pages) | |||
Lecture 7 - Lagrange's Theorem, Abelian Definitions & Practice 236:00 | |||
Notes 7 - Lecture 7 Lagrange's Theorem, Abelian Definitions & Practice Annotated Notes (211 pages) | |||
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Combinatorics | |||
Lecture 1 - Basic Counting Principles | |||
Notes 1 - Combinatorics Lecture 1 Basic Counting Principles Annotated Notes (100 pages) | |||
Lecture 2 - Complement Rule, Division Rule | |||
Notes 2 - Combinatorics Lecture 2 - Complement Rule, Division Rule Annotated Notes (122 pages) | |||
Lecture 3 - Division Rule, Permutation, Combination | |||
Notes 3 - Combinatorics Lecture 3 Division Rule, Permutation, Combination Annotated Notes (125 pages) | |||
Lecture 4 - Combinatorial Arguments | |||
Notes 4 - Combinatorics Lecture 4 Combinatorial Arguments Annotated Notes (150 pages) | |||
Lecture 5 - Binomial Theorem, Permutation with Repetition | |||
Notes 5 - Combinatorics Lecture 5 Binomial Theorem, Permutation with Repetition Annotated Notes (101 pages) | |||
Lecture 6 - Distributing Objects into Boxes | |||
Notes 6 - Combinatorics Lecture 6 Distributing Objects into Boxes Annotated Notes (111 pages) | |||
Lecture 7 - IODB, DOIB, IOIB Templates of Distribution | |||
Notes 7 - Combinatorics Lecture 7 Distributing Objects into Boxes Annotated Notes (140 pages) | |||
Lecture 8 - DOIB, IOIB, Integer Partition, Integer Composition | |||
Notes 8 - Combinatorics Lecture 8 DOIB, IOIB, Integer Partition, Integer Composition Annotated Notes (130 pages) | |||
Lecture 9 - Inclusion-Exclusion Principle | |||
Notes 9 - Combinatorics Lecture 9 Inclusion-Exclusion Principle Annotated Notes (124 pages) | |||
Lecture 10 - Derangement, Euler Totient Function | |||
Notes 10 - Combinatorics Lecture 10 Derangement, Euler Totient Function Annotated Notes (166 pages) | |||
Lecture 11 - Generating Functions | |||
Notes 11 - Combinatorics Lecture 11 - Generating Function Annotated Notes (123 pages) | |||
Lecture 12 - Generating Functions Part 2 | |||
Notes 12 - Combinatorics Lecture 12 Generating Function 2 Annotated Notes (170 pages) | |||
Lecture 13 - Applications of Generating Functions(Optional, Skip), Pigeon hole principle 199:00 | |||
Notes 13 - Combinatorics Lecture 13 Applications of Generating Functions, Pigeon hole principle Annotated Notes (120 pages) | |||
Practice Revision Lecture 14 - Basics Revision, Grid Problem, Product Rule Questions 166:00 | |||
Watch Recurrence Relations in Below Section | |||
Practice Revision Lecture 15 - Recurrence Relation Revision | Derangement Recurrence 133:00 | |||
Notes - Practice Revision Lectures 14,15 Annotated Notes (227 pages) | |||
Practice Revision Lecture 16 - Distribution of Objects into Boxes Revision 146:00 | |||
Notes - Practice Revision Lecture 16 - Distribution of Objects into Boxes Revision Annotated Notes (125 pages) | |||
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Recurrence Relations | |||
Recurrence Relations Playlist | |||
Notes - Recurrence Relations Annotated Notes (73 pages) | |||
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Graph Theory | |||
Lecture 1 - Introduction & Terminology | Degree of a Vertex, Edge 125:00 | |||
Notes 1 - Graph Theory Lecture 1 Annotated Notes (93 pages) | |||
Lecture 2 - Degree Summation, Walk, Cycle, Path 129:00 | |||
Notes 2 - Graph Theory Lecture 2 Annotated Notes (86 pages) | |||
Graph Theory Lecture 3 - Special Types of Graphs | Diameter of a Graph 80:00 | |||
Lecture 4 - Subgraphs | |||
Notes 3,4 - Graph Theory Lecture 3,4 Annotated Notes (175 pages) | |||
Lecture 5 - Isomorphism, Components, Graph Complement 129:00 | |||
Notes 5 - Graph Theory Lecture 5 Annotated Notes (88 pages) | |||
Lecture 6 - Bipartite Graphs 110:00 | |||
Notes 6 - Graph Theory Lecture 6 Annotated Notes (101 pages) | |||
Lecture 7 - Trees & Rooted Trees 129:00 | |||
Notes 7 - Lecture 7 Trees and Rooted Trees Annotated Notes (145 pages) | |||
Lecture 8 - Rooted Tree, Tree Questions 147:00 | |||
Notes 8 - Graph Theory Lecture 8 Annotated Notes (164 pages) | |||
Lecture 9 - Independent Set, Clique 138:00 | |||
Notes 9 - Graph Theory Lecture 9 Annotated Notes (90 pages) | |||
Lecture 10 - Vertex Cover, Edge Cover 131:00 | |||
Notes 10 - Graph Theory Lecture 10 Annotated Notes (102 pages) | |||
Independent Set Vs Vertex Cover in Graph Theory | |||
Lecture 11 - Matching, Perfect Matching 143:00 | |||
Notes 11 - Graph Theory Lecture 11 Matching Annotated Notes (111 pages) | |||
Lecture 12 - Vertex Coloring, Chromatic Number 143:00 | |||
Notes 12 - Graph Theory Lecture 12 Coloring Annotated Notes (133 pages) | |||
Lecture 13 - Planar Graph | |||
Notes - Graph Theory Lecture 13 Planar Graph Annotated Notes (106 pages) | |||
Lecture 14 - Edge Coloring, Planar Graph Revision & Questions 143:00 | |||
Notes 14 - Graph Theory Lecture 14 Edge Coloring, Planar Graph Revision Annotated Notes (207 pages) | |||
Lecture 15 - Euler and Hamiltonian Cycle, Graphs 143:00 | |||
Notes 15 - Graph Theory Lecture 15 Annotated Notes (130 pages) | |||
Lecture 16 - Graph Realization Problem 91:00 | |||
Graph Theory Lecture 16 Annotated Notes (65 pages) | |||
Lecture 17 - Cuts, Connectivity 75:00 | |||
Lecture 18 - Connectivity Number, Vertex Cut | |||
Lecture 18 - Connectivity Number, Vertex Cut 90:00 | |||
Notes 17,18 - Graph Theory Lecture 17,18 Annotated Notes (138 pages) | |||
Lecture 19 - Strongly Connected Components 134:00 | |||
Notes 19 - Graph Theory Lecture 19 Strongly Connected Components Annotated Notes (125 pages) | |||
Lecture 20 - Powers of Adjacency Matrix of a Graph 93:00 | |||
Lecture 21 - Applications of Powers of Adjacency Matrix of a Graph 73:00 | |||
Notes - Lecture 20,21 - Powers of Adjacency Matrix of a Graph Annotated Notes (120 pages) | |||
Lecture 22 - Applications of Powers of Adjacency Matrix Part 2 121:00 | |||
Notes - Lecture 22 - Applications of Powers of Adjacency Matrix Part 2 Annotated Notes (84 pages) | |||
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Feedback Form for Discrete Mathematics 2023 Course | |||
DM Weekly Quizzes | |||
Goclasses Weekly Quizzes for Enrolled Students | |||
GO Classes Weekly Quiz 1 | General Aptitude | Fundamentals of CSE | |||
GO Classes Weekly Quiz 2 | Programming in C and Propositional Logic | |||
GO Classes Weekly Quiz 3 | Discrete Mathematics | Propositional Logic | |||
GO Classes Weekly Quiz 5 | Discrete Mathematics | Mathematical Logic | |||
GO Classes Weekly Quiz 7 | Discrete Mathematics | Mathematical Logic | |||
GO Classes Weekly Quiz 10 | Discrete Mathematics | Set Theory, Mathematical Logic, Lattice | |||
GO Classes Weekly Quiz 12 | Discrete Mathematics | Group Theory, Functions | |||
GO Classes Weekly Quiz 13 | Discrete Mathematics | Combinatorics | |||
GO Classes Scholarship Test Questions | Discrete Mathematics | |||
Weekly Quiz PDFs | |||
GO Classes Weekly Quiz 1 General Aptitude (5 pages) | |||
GO Classes Weekly Quiz 2 Programming in C and Propositional Logic (8 pages) | |||
GO Classes Weekly Quiz 3 Propositional Logic (7 pages) | |||
GO Classes Weekly Quiz 5 Mathematical Logic (6 pages) | |||
GO Classes Weekly Quiz 7 Mathematical Logic (6 pages) | |||
GO Classes Weekly Quiz 10 Discrete Mathematics Set Theory, Mathematical Logic, Lattice (7 pages) | |||
GO Classes Weekly Quiz 12 Discrete Mathematics Group Theory, Functions (6 pages) | |||
GO Classes Weekly Quiz 13 Discrete Mathematics Combinatorics (5 pages) | |||
Course Feedback | |||
Review & Rate Our Discrete Mathematics Course | |||
Feedback Form for Discrete Mathematics 2023 Course |
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