Amit-Discrete-Maths
Learn Discrete Maths DM for GATE 2028 by Amit Khurana Sir Hinglish with comprehensive video tutorials and hands-on projects.
Meet Your Instructor: Amit-Khurana
Amit Khurana is a highly respected and experienced GATE mentor specializing in Electronics and Communication Engineering (ECE), renowned for his ability to simplify complex electronics concepts and guide students through rigorous exam preparation. With over a decade of teaching experience, Amit has established himself as one of the most effective GATE educators in India, helping thousands of students achieve their dream of securing top ranks in the prestigious GATE examination. His unique approach combines comprehensive coverage of subjects like Digital Electronics, Control Systems, Signals and Systems, and Communication Engineering with strategic problem-solving techniques. Amit's bilingual teaching methodology, covering both English and Hinglish, makes complex concepts accessible to a diverse student base, while his intensive problem-solving drills ensure students are well-prepared for the competitive examination environment.
Course Overview
This comprehensive course is designed to take you from foundational concepts to advanced implementation in gate preparation. You'll learn through conceptual clarity with bilingual english and hinglish explanations, intensive problem-solving drills, and strategic exam preparation techniques, building real-world projects that demonstrate your skills and enhance your portfolio.
Whether you're looking to start a new career in technology or advance your current skills, this course provides the structured learning path and practical experience you need to succeed in today's competitive tech industry.
Course Curriculum
Course Content
lecture 1 Basic operators and properties
lecture 2 Practice Questions
lecture 3 derived operators and properties
lecture 4 satisfiable, tautology,contradiction, implication
lecture 5 Double implication and translations
lecture 6 Arguements (Mistake @ 1:08:00 check attached pdf)
lecture 7 predicate logic part 1
lecture 8 Properties of quantifiers and introduction to translations
lecture 9 Translations
lecture 10 Permutation with unlimited and no repetition
lecture 11 permutation with Limited Repetition and 6 constraints
lecture 12 Combination with No and Unlimited repetition
lecture 13 Combination with limited repetition (Generating Function)
lecture 14 Distribution problems and Principle of inclusion exclusion
lecture 15 Derangements and pigeon hole principle
lecture 16 Binomial summations
lecture 17 Generating Functions Part 1
lecture 18 Generating functions part 2
lecture 19 Generating Functions Part 3
lecture 20 Recurrence relations part 1
lecture 21 Recurrance relations part 2
lecture 22 Set theory (Introduction to Sets)
lecture 23 Introduction to relations(Finding Domain and range)
lecture 24 Introduction to Relations Part 2
lecture 25 Introduction to relations part 3 (Reflexive relations)
lecture 26 Irreflexive , Symmetric Relations
lecture 27 Anti Symmetric , Asymmetric and Transitive relations
lecture 28 Counting Relations
lecture 29 Closure of relations and Equivalnce relations
lecture 30 Equivalence relations and closure properties of relations
lecture 31 Introduction to Functions Part 1
lecture 32 Composition of Functions and counting functions
lecture 33 Introduction to Group Theory (Identification of Group)
lecture 34 Abelian Group and standard examples of group
lecture 35 properties of group
lecture 36 properties of element of group
lecture 37 Cyclic group
lecture 38 Subgroup and lagrange's theorem, Introduction to poset
lecture 39 toset,woset,toposort,exremal elements of poset
lecture 40 Introduction to Lattice and standard examples
lecture 41 Types of lattice and its properties
lecture 42 Sub lattice and boolean algebra
lecture 43 Introduction to Graph and special graphs
lecture 44 chromatic number and diamerter of special graphs
lecture 45 Graph operations and isomorphism
lecture 46 components, cut vertex(Articulation point),cut edge and cut set
lecture 47 Vertex and edge connectivity , walk,path,cycle, Euler graphs
lecture 48 Hamiltonean and planar graphs
lecture 49
syllabus
Requirements
- Basic understanding of mathematical concepts
- Knowledge of set theory and logic fundamentals
- Internet connection for video streaming
- Notebook for mathematical proofs and problem solving
- GATE exam preparation mindset and dedication
Course Features
Course Details
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