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. Amit Khurana's journey as a GATE educator began with his recognition that many ECE students struggle with the vast and complex syllabus of the GATE examination. The ECE branch covers a wide range of subjects, from fundamental electronics to advanced communication systems, and students often find it challenging to master all these topics effectively. Amit's teaching approach addresses this challenge by breaking down complex subjects into manageable concepts, using clear explanations and practical examples that help students understand and remember key principles. Digital Electronics is one of Amit's areas of expertise, and his courses on this subject are particularly acclaimed. He teaches everything from basic logic gates and Boolean algebra to advanced topics like sequential circuits, counters, registers, and memory systems. Amit's approach to teaching Digital Electronics emphasizes understanding the fundamental principles, which enables students to solve complex problems even when they encounter new circuit configurations. His problem-solving techniques help students develop the analytical skills needed to excel in this challenging subject. Control Systems is another area where Amit's expertise shines. He helps students understand both the theoretical foundations and practical applications of control systems, covering topics like transfer functions, stability analysis, root locus, frequency response, and state-space analysis. Amit's teaching methodology includes numerous solved examples and practice problems that help students develop proficiency in solving control systems problems quickly and accurately, which is crucial for success in the GATE examination. Signals and Systems is a fundamental subject in ECE, and Amit's comprehensive coverage of this topic helps students build a strong foundation. He teaches concepts like signal representation, Fourier transforms, Laplace transforms, Z-transforms, and system analysis in both time and frequency domains. Amit's clear explanations and step-by-step problem-solving approach make these complex mathematical concepts accessible to students, helping them master this challenging subject. Communication Engineering is a core area of ECE, and Amit's courses cover both analog and digital communication systems. Students learn about modulation techniques, demodulation, noise analysis, information theory, and digital communication systems. Amit's practical approach helps students understand how communication systems work in real-world applications, making the subject more interesting and easier to grasp. Amit's bilingual teaching methodology, using both English and Hinglish, is a unique strength that makes his teaching accessible to a wide range of students. Many students find that explanations in Hinglish help them understand complex concepts better, as the mix of Hindi and English makes technical content more relatable and easier to follow. This approach has helped Amit reach and teach students from diverse linguistic backgrounds, making quality GATE preparation accessible to more students. Amit's problem-solving drills are intensive and comprehensive, covering a wide range of questions from basic to advanced levels. He provides detailed solutions that explain not just the correct answer, but also the reasoning and methodology behind it. This approach helps students develop problem-solving skills and learn to approach different types of questions systematically. Amit's practice materials are designed to simulate the actual GATE examination, helping students build confidence and improve their speed and accuracy. Beyond subject knowledge, Amit provides strategic guidance on GATE examination preparation. He helps students understand the exam pattern, weightage of different topics, and effective study strategies. Amit's experience with the GATE examination enables him to provide insights into what topics are most important, what types of questions are commonly asked, and how to maximize scores. This strategic guidance is invaluable for students who want to optimize their preparation and achieve top ranks. Amit's commitment to student success extends beyond course delivery. He maintains an active presence in student communities, provides personalized guidance, and offers continuous support throughout the preparation journey. His dedication to helping students succeed has earned him the respect and gratitude of thousands of students who have achieved their GATE goals through his guidance. The success stories from Amit's students speak volumes about the effectiveness of his teaching approach. Many students have secured top ranks in the GATE examination, gaining admission to prestigious institutes like IITs and NITs. Others have used their GATE scores to secure positions in public sector undertakings and pursue higher studies. Amit's impact on the GATE preparation landscape is significant, and his teaching methods have become a benchmark for effective GATE education in the ECE branch. Through his comprehensive courses, effective teaching methodology, and commitment to student success, Amit Khurana has established himself as one of the most trusted and effective GATE educators in India, helping thousands of ECE students achieve their academic and career goals.
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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