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Learn, Understand, Discuss. "GO" for the Best.
star star star star star | 5.0 (64 ratings) |
Instructor: Sachin Mittal (MTech IISc Bangalore, Ex-Amazon Scientist, GATE AIR 33)
Language: English
Enrolled Learners: 20444
Validity Period: Lifetime
GO Classes Complete Discrete Mathematics and Engineering Mathematics Courses are FREE for all learners. Sign up and start learning.
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Features of the course:
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 respective lecture.
4. Summary Lectures: Short videos which summarises every concept and detail of the course. Helps in quick revision.
5. Quality Practice Sets: Practice Sets from standard resources, with solutions, containing a lot of quality questions for practice.
6. 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.
7. Doubt Resolution: All 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.
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Enroll here for GO Classes GATE CSE Complete Course
Linear Algebra | |||
Lecture 1A - Why Study Linear Algebra 22:00 | |||
Lecture 1B - Linear Algebra for GATE & Interviews 14:00 | |||
Annotated Notes - Lecture 1A-1B (32 pages) | |||
Lecture 1C - Linearly Independent and Linearly Dependent 75:00 | |||
Annotated Notes - Lecture 1C (92 pages) | |||
Lecture 2A - Filling the Space Part 1 44:00 | |||
Lecture 2B - Filling the Space Part 2 28:00 | |||
Lecture 2C - Summary So far 12:00 | |||
Lecture 2D - Multiplying a Matrix & a Vector 26:00 | |||
Annotated Notes - Lecture 2 (103 pages) | |||
Homework 1 - Linear Dependence & Independence (12 pages) | |||
Live Session 1 - Homework 1 Discussion | |||
Annotated Notes - Live Session 1 (20 pages) | |||
Lecture 3A - Why Solve System Of Linear Equations 22:00 | |||
Lecture 3B - Writing as Ax=b, Geometric Interpretation and Possible Solutions 24:00 | |||
Lecture 3C - Understanding Ax=b intuitively 44:00 | |||
Lecture 3 Annotated Notes (74 pages) | |||
4a. Multiplying 2 Matrices | My Walmart Interview Question 18:00 | |||
4b. GATE 2016 Question 16:00 | |||
4c. GATE 2014 Question 14:00 | |||
4d. Two conceptual questions 28:00 | |||
4e. Linear Combination of Independent vectors is unique 28:00 | |||
4f. GATE 2017 Question 4:00 | |||
Lecture 4 Annotated Notes (76 pages) | |||
(New) Practice Questions based on Concepts covered upto lecture 4F 80:00 | |||
Annotated Notes Practice Questions based on Concepts covered upto lecture 4F (79 pages) | |||
(New) Practice Questions based on Concepts covered upto lecture 4F - Part2 82:00 | |||
Annotated Notes Practice Questions based on Concepts covered upto lecture 4F Part2 (82 pages) | |||
Weekly Quiz 3 - Fundamental Course and Linear Algebra (7 pages) | |||
(New) Weekly Quiz 3 GATE 2025 Solution 100:00 | |||
Annotated Notes Weekly Quiz 3 Linear Algebra (64 pages) | |||
Homework 2 (20 pages) | |||
5a. Echelon Form and Pivot Columns 37:00 | |||
5b. Gaussian Elimination 26:00 | |||
Live Session -2 | |||
Live Session 2 Annotated Notes (48 pages) | |||
5c. Rank | GATE 1994 Question | Rank Nullity Theorem 11:00 | |||
5d. Finally Solving Ax=b | Five Different Questions 33:00 | |||
5e. More than one free variable in 𝐴𝑥=0 solution 32:00 | |||
Lecture 5 Annotated Notes (125 pages) | |||
Live Session -3 | |||
Live Session 3 Annotated Notes (18 pages) | |||
6a. GATE 2021 Question | Free variables in Non homogeneous 19:00 | |||
6b. Solutions based on Rank(A) and Rank(A|b) 18:00 | |||
6c. Few Questions related to rank(A) and Number of solutions 8:00 | |||
6d. [OPTIONAL] Linearly Independent Columns with Gaussian Elimination 24:00 | |||
6e. [Optional] Row Reduced Echelon Form 28:00 | |||
Lecture 6 Annotated Notes (74 pages) | |||
Homework Questions Set 2 (20 pages) | |||
Lecture 7 Determinant 100:00 | |||
Lecture 7b Inverse of a Matrix | |||
Lecture 7c. Crammer's rule 26:00 | |||
Lecture 7 Annotated Notes (149 pages) | |||
Live Session -4 | |||
Live Session 4 Annotated Notes (42 pages) | |||
Lecture 8a. Introduction to Eigenvalues and Eigenvectors 23:00 | |||
Lecture 8b. Characterstic Equation 15:00 | |||
Lecture 8c. Solving for Eigenvalues and Eigenvectors 22:00 | |||
Lecture 8 Annotated Notes (45 pages) | |||
Lecture 9a. Linearly Independent eigen vectors with repeating eigenvalues 21:00 | |||
Lecture 9b. Three Different Examples With Repeating Lambda 30:00 | |||
Lecture 9c. Symmetric Matrices has n LI Eigen Vectors 12:00 | |||
Lecture 9d. Two Magical Properties 12:00 | |||
Lecture 9 Annotated Notes (95 pages) | |||
Live Session -5 | |||
Live Session 5 Annotated Notes (131 pages) | |||
10a. Rank and Eigen Values 22:00 | |||
10b. Examples on Rank and Eigen Values 15:00 | |||
10c. CAYLEY-HAMILTON THEOREM 16:00 | |||
10d. Eigen Values of AB and BA 32:00 | |||
10e. Eigen Values of Powers of A 17:00 | |||
Lecture 10 Annotated Notes (99 pages) | |||
Live Session 6 (Three Tough/Interesting GATE PYQs) | |||
Live Session 6 Annotated Notes (14 pages) | |||
Weekly Quiz 6 - Linear Algebra (10 pages) | |||
Lecture 11a. LU Decomposition 25:00 | |||
Lecture 11b. Type Of Matrices 84:00 | |||
Lecture 11 Annotated Notes (80 pages) | |||
Weekly Quiz 7 - Linear Algebra (9 pages) | |||
Live Session -7 Weekly Quiz Solutions | |||
Live Session 7 Annotated Notes (59 pages) | |||
Live Session -8 Weekly Quiz 7 LA Solutions | |||
Live Session 8 Annotated Notes (23 pages) | |||
Annotated Notes Scholarship test Linear Algebra Solution (63 pages) | |||
Probability | |||
Lecture 1a Probability Definition, Sample Space and Events 28:00 | |||
Lecture 1b. Inclusion Exclusion Principle, Demorgan's Law 37:00 | |||
Lecture 1 Annotated Notes (40 pages) | |||
Lecture 2a. Conditional Probability Introduction 34:00 | |||
Lecture 2b. Conditional Probability Examples 26:00 | |||
Lecture 2c. Introduction to Tree Diagram 32:00 | |||
Lecture 2 Annotated Notes (70 pages) | |||
Lecture 3a. Total Probability 36:00 | |||
LIVE Session 1: GATE PYQs Tree Method | |||
Live Session 1 Annotated Notes (35 pages) | |||
Lecture3b. Conditional Probability Examples 33:00 | |||
Lecture 3 Annotated Notes (55 pages) | |||
Lecture3c. GATE PYQs and Bayes Theorem | |||
Annotated Notes Lecture3c. GATE PYQs and Bayes Theorem (48 pages) | |||
[Optional] My LinkedIn Interview 49:00 | |||
[Optional] My Linkedin Interview (28 pages) | |||
Lecture 4a. independence of events 43:00 | |||
Lecture 4b. Conditional Independence 32:00 | |||
Lecture 4 a,b Annotated Notes (61 pages) | |||
Lecture 4c. Independence Does not imply Conditional Independence 22:00 | |||
Lecture 4c Annotated Notes (22 pages) | |||
Lecture 4d: Random Variables Introduction | |||
Annotated Notes Lecture 4d: Random Variables Introduction (46 pages) | |||
Lecture 5a. Practice Questions on Random Variables 29:00 | |||
Lecture 5a. Independence of events (20 pages) | |||
LIVE Session 4: Practice Questions on Random Variables | |||
Live Session 4 Annotated Notes (46 pages) | |||
Weekly Quiz 8 - Conditional Probability (6 pages) | |||
LIVE Session 5: Weekly Quiz 8 (Conditional Prob) Discussion | |||
Live Session 5 Annotated Notes (56 pages) | |||
Lecture 6a. Types of Random Variables 9:00 | |||
Lecture 6b. Probability Mass Function Questions Part 1 20:00 | |||
Lecture 6c. Probability Mass Function Questions Part 2 15:00 | |||
Lecture 6 Annotated Notes (39 pages) | |||
Lecture 7a. Expectation of Discrete Random Variable 19:00 | |||
Lecture 7b Expectation vs Average 40:00 | |||
Lecture 7c.[Optional] Expectation as center of mass 8:00 | |||
Lecture 7d. MIT Question and GATE 2021 Question 13:00 | |||
Lecture 7e. Expectation of Random Variable which is a Function of Random Variable 18:00 | |||
Lecture 7 Annotated Notes (70 pages) | |||
LIVE Session 6 | |||
Live Session 6 Annotated Notes (35 pages) | |||
Lecture 8a. Question number 8 21:00 | |||
Lecture 8b. Question number 9, 10, 11 17:00 | |||
Lecture 8c. Question number 12, 13 30:00 | |||
Lecture 8 Annotated Notes (37 pages) | |||
Lecture 9a. Cumulative Distribution Function 31:00 | |||
[LIVE] Lecture 9b - Variance Intuition and Formula 52:00 | |||
[LIVE] Lecture 9c- Variance Main Formula and Questions 38:00 | |||
[LIVE] Lecture 9d- Variance Questions 45:00 | |||
Lecture 9 Annotated Notes (85 pages) | |||
[LIVE] Lecture 10a: Discrete random variable (Bernoulli and Binomial RVs) 77:00 | |||
[LIVE] Lecture 10b. MIT Question on Binomial RV 16:00 | |||
[LIVE] Lecture 10c. Optional and Skip - Question on Plot of PMF 19:00 | |||
[LIVE] Lecture 10d. Poisson RV 28:00 | |||
10d. Discrete Uniform RV Introduction 15:00 | |||
[LIVE] Lecture 10 Annotated Notes (79 pages) | |||
Lecture 11a. Introduction to Continuous Distributions | Intuition about PDF 32:00 | |||
Lecture 11b. Continuous Uniform Distribution 25:00 | |||
Lecture 11c. Normal Distribution 43:00 | |||
Lecture 11d. Normal Distribution - 2 17:00 | |||
Lecture 11E. Exponential Distribution 18:00 | |||
Lecture 11 Annotated Notes (83 pages) | |||
Lecture 12. Statistics - Mean Mode Median 35:00 | |||
Lecture 12 Annotated Notes (20 pages) | |||
LIVE: Weekly Quiz 11 Discussion :- Random Variables and Probability Distributions | |||
Annotated Notes - Weekly Quiz 11 Discussion - Random Variables & Probability Distributions (47 pages) | |||
Weekly Quiz 11 - Probability Distributions (7 pages) | |||
Calculus (GATE 2025) | |||
Lecture 1: Finding Limit of a function 116:00 | |||
Annotated Notes Lecture 1 Limits and Indeterminant Form (68 pages) | |||
Lecture 2: Methods to Evaluate the Limit of a function | |||
Annotated Notes Lecture 2 Evaluating Limits (126 pages) | |||
Lecture 3: Limits L'Hôpital's rule and Other Indeterminate forms of powers | |||
Annotated Notes Lecture 3 L hopital rule and Evaluating Power forms in Indeterminate form (78 pages) | |||
Homework Limit Calculus GATE CSE PYQs | |||
Lecture 4: Continuity and Introduction to Differentiability 91:00 | |||
Annotated Notes Lecture 4 Continuity and Differentiability (106 pages) | |||
Lecture 5: Maxima and Minima | |||
Lecture 6: Integration 107:00 | |||
Annotated Notes Lecture 6 Integration (97 pages) | |||
Calculus (Old Videos) | |||
About this series | |||
Limits in Calculus | Calculus | Engineering Mathematics | GATE | GO Classes | GATE Overflow 50:00 | |||
Continuity in Calculus | Calculus | Engineering Mathematics | GATE | GO Classes | GATE Overflow 12:00 | |||
Differentiability in Calculus | Calculus | Engineering Mathematics | GATE | GO Classes 17:00 | |||
Maxima Minima in Calculus | Calculus | Engineering Mathematics | GATE | GO Classes 28:00 | |||
Intermediate Value Theorem | Calculus | Engineering Mathematics | GATE Computer Science 18:00 | |||
Rolle's Theorem and Examples | Calculus | Engineering Mathematics | GATE Computer Science 13:00 | |||
Integration with ALL GATE PYQs | Tic Tac Toe method | Engineering Mathematics | GO Classes 44:00 | |||
Limits Annotated Notes (24 pages) | |||
Continuity Annotated Notes (8 pages) | |||
Differentiability Annotated Notes (7 pages) | |||
Maxima and Minima Annotated Notes (15 pages) | |||
Intermediate Value Theorems Annotated Notes (15 pages) | |||
Annotated Notes Rolle theorem (11 pages) | |||
Integration Annotated Notes (31 pages) | |||
LIVE Session 1: Limit and Continuity | |||
LIVE Session 1 Annotated Notes (86 pages) | |||
LIVE Session 2: Differentiability | |||
LIVE Session 2 Annotated Notes (107 pages) | |||
LIVE Session 3: Double Derivative and Mean Value Theorems | |||
LIVE Session 3 Annotated Notes (83 pages) | |||
LIVE Session 4: Integration | |||
LIVE Session 4 Annotated Notes (74 pages) | |||
Calculus Quiz - Weekly Quiz 14 | |||
Weekly Quiz 14 - Calculus (10 pages) | |||
Annotated Notes - Calculus Quiz Discussion (70 pages) | |||
Students' Hand Written Notes | |||
Notes by Quantum City (AIR 107, GATE CS 2024, Shreyas Rathod) - Engineering Mathematics Notes (47 pages) | |||
Linear Algebra Notes - by Aditya (121 pages) | |||
Probability Notes - by Aditya (141 pages) | |||
Handwritten Notes by Karan Agrawal (AIR 102 GATE CS 2024) - Linear Algebra | |||
Handwritten Notes by Karan Agrawal (AIR 102 GATE CS 2024) - Probability |
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