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Linear Algebra
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Lecture 1A - Why Study Linear Algebra
22:00
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Lecture 1B - Linear Algebra for GATE & Interviews
14:00
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Annotated Notes - Lecture 1A-1B
(32 pages)
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Lecture 1C - Linearly Independent and Linearly Dependent
75:00
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Annotated Notes - Lecture 1C
(92 pages)
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Lecture 2A - Filling the Space Part 1
44:00
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Lecture 2B - Filling the Space Part 2
28:00
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Lecture 2C - Summary So far
12:00
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Lecture 2D - Multiplying a Matrix & a Vector
26:00
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Annotated Notes - Lecture 2
(103 pages)
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Homework 1 - Linear Dependence & Independence
(12 pages)
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Lecture 3A - Homework 1 Discussion
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Annotated Notes - Lecture 3A - Homework 1 Discussion
(20 pages)
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Lecture 3B - Why Solve System Of Linear Equations
22:00
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Lecture 3C - Writing as Ax=b, Geometric Interpretation and Possible Solutions
24:00
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Lecture 3D - Understanding Ax=b intuitively
44:00
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Lecture 3B-D Annotated Notes
(74 pages)
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4A. Multiplying 2 Matrices | My Walmart Interview Question
18:00
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4B. GATE 2016 Question
16:00
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4C. GATE 2014 Question
14:00
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4D. Two conceptual questions
28:00
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4E. Linear Combination of Independent vectors is unique
28:00
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4F. GATE 2017 Question
4:00
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Lecture 4 Annotated Notes
(76 pages)
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5A. Echelon Form and Pivot Columns
37:00
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5B. Gaussian Elimination
26:00
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5C. Rank | GATE 1994 Question | Rank Nullity Theorem
11:00
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5D. Finally Solving Ax=b | Five Different Questions
33:00
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5E. More than one free variable in 𝐴𝑥=0 solution
32:00
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Lecture 5 Annotated Notes
(125 pages)
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6A. GATE 2021 Question | Free variables in Non homogeneous
19:00
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6B. Solutions based on Rank(A) and Rank(A|b)
18:00
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6C. Few Questions related to rank(A) and Number of solutions
8:00
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6D. [OPTIONAL] Linearly Independent Columns with Gaussian Elimination
24:00
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6E. [Optional] Row Reduced Echelon Form
28:00
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Lecture 6 Annotated Notes
(74 pages)
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Lecture 7A. Determinant
100:00
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Lecture 7B. Inverse of a Matrix
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Lecture 7C. Crammer's rule
26:00
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Annotated Notes Lecture 7 A-C Determinant Inverse and Cramer's Rule
(149 pages)
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Lecture 8A. Introduction to Eigenvalues and Eigenvectors
23:00
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Lecture 8B. Characteristic Equation
15:00
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Lecture 8C. Solving for Eigenvalues and Eigenvectors
22:00
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Annotated Notes Lecture 8A-C EigenValues and EigenVectors
(45 pages)
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Lecture 9A. Linearly Independent Eigen vectors with repeating eigenvalues
21:00
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Lecture 9B. Three Different Examples With Repeating Lambda
30:00
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Lecture 9C. Symmetric Matrices has n LI Eigen Vectors
12:00
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Lecture 9D. Two Magical Properties
12:00
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Annotated Notes Lecture 9A-D Eigen Vectors
(95 pages)
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Lecture 10A. Rank and Eigen Values
22:00
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Lecture 10B. Examples on Rank and Eigen Values
15:00
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Lecture 10C. CAYLEY-HAMILTON THEOREM
16:00
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Lecture 10D. Eigen Values of AB and BA
32:00
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Lecture 10E. Eigen Values of Powers of A
17:00
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Annotated Notes Lecture 10A-E Rank and EigenValues
(99 pages)
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Lecture 10F. (Three Tough/Interesting GATE PYQs)
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Annotated Notes Lecture 10F GATE PYQs Linear Algenra
(14 pages)
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Lecture 10G. Matrix Diagonalization (brief)
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Annotated Notes Lecture 10G. Matrix Diagonalization (brief)
(8 pages)
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Lecture 11A. LU Decomposition
25:00
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Lecture 11B. Type Of Matrices
84:00
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Annotated Notes Lecture 11A -B
(80 pages)
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LIVE Practice Questions on Linear Dependent Vectors
62:00
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Annotated Notes Practice Questions on Linear Dependent Vectors
(59 pages)
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LIVE Practice Questions on Solutions of Ax = b
61:00
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Annotated Notes Practice Questions on Ax=b
(58 pages)
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LIVE Class on Practice Questions for GATE all Branches
53:00
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Annotated Notes First LIVE Class on GATE Practice Questions (All Branches) | Linear Algebra
(34 pages)
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More GATE PYQs from all Branches
79:00
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Annotated Notes Few More GATE PYQs from all Branches
(75 pages)
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Weekly Quizzes - Linear Algebra
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LIVE Practice Questions on Linear Dependent Vectors and Solutions of Ax = b
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Probability
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Lecture 1A. Probability Definition, Sample Space and Events
28:00
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Lecture 1B. Inclusion Exclusion Principle, Demorgan's Law
37:00
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Lecture 1 Annotated Notes
(40 pages)
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Lecture 2A. Conditional Probability Introduction
34:00
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Lecture 2B. Conditional Probability Examples
26:00
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Lecture 2C. Introduction to Tree Diagram
32:00
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Annotated Notes Lecture 2 Conditional Probability
(70 pages)
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Lecture 3A. Total Probability
36:00
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Lecture 3B. Conditional Probability Examples
33:00
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Annotated Notes Lecture 3A-3B
(55 pages)
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Lecture 3C: GATE PYQs Tree Method
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Annotated Notes Lecture 3C GATE PYQs Tree Method
(35 pages)
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Lecture 3D: GATE PYQs and Bayes Theorem
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Annotated Notes Lecture 3D: GATE PYQs and Bayes Theorem
(48 pages)
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[Optional] My LinkedIn Interview
49:00
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Annotated Notes [Optional] My Linkedin Interview
(28 pages)
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Lecture 4A. independence of events
43:00
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Lecture 4B. Conditional Independence
32:00
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Annotated Notes Lecture 4A-B Independence and Conditional Independence
(61 pages)
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Lecture 4C. Independence Does not imply Conditional Independence
22:00
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Annotated Notes Lecture 4C. Independence Does not imply Conditional Independence
(22 pages)
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Lecture 4D. Random Variables Introduction
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Annotated Notes Lecture 4d. Random Variables Introduction
(46 pages)
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Lecture 5A. Practice Questions on Random Variables
29:00
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Annotated Notes Lecture 5A. Practice Questions on Random Variables
(20 pages)
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Lecture 5B. More Practice Questions on Random Variables
67:00
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Annotated Notes Lecture 5B. Practice Questions on Random Variables
(46 pages)
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LIVE Session 5: Weekly Quiz 8 (Conditional Prob) Discussion
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Live Session 5 Annotated Notes
(56 pages)
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Lecture 6A. Types of Random Variables
9:00
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Lecture 6b. Probability Mass Function Questions Part 1
20:00
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Lecture 6c. Probability Mass Function Questions Part 2
15:00
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Annotated Notes Lecture 6 Probability
(39 pages)
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Lecture 7a. Expectation of Discrete Random Variable
19:00
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Lecture 7b Expectation vs Average
40:00
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Lecture 7c.[Optional] Expectation as center of mass
8:00
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Lecture 7d. MIT Question and GATE 2021 Question
13:00
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Lecture 7e. Expectation of Random Variable which is a Function of Random Variable
18:00
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Lecture 7 Annotated Notes
(70 pages)
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LIVE Session 6
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Live Session 6 Annotated Notes
(35 pages)
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Lecture 8a. Question number 8
21:00
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Lecture 8b. Question number 9, 10, 11
17:00
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Lecture 8c. Question number 12, 13
30:00
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Lecture 8 Annotated Notes
(37 pages)
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Lecture 9a. Cumulative Distribution Function
31:00
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[LIVE] Lecture 9b - Variance Intuition and Formula
52:00
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[LIVE] Lecture 9c- Variance Main Formula and Questions
38:00
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[LIVE] Lecture 9d- Variance Questions
45:00
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Lecture 9 Annotated Notes
(85 pages)
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[LIVE] Lecture 10a: Discrete random variable (Bernoulli and Binomial RVs)
77:00
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[LIVE] Lecture 10b. MIT Question on Binomial RV
16:00
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[LIVE] Lecture 10c. Optional and Skip - Question on Plot of PMF
19:00
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[LIVE] Lecture 10d. Poisson RV
28:00
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10d. Discrete Uniform RV Introduction
15:00
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[LIVE] Lecture 10 Annotated Notes
(79 pages)
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Lecture 11a. Introduction to Continuous Distributions | Intuition about PDF
32:00
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Lecture 11b. Continuous Uniform Distribution
25:00
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Lecture 11c. Normal Distribution
43:00
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Lecture 11d. Normal Distribution - 2
17:00
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Lecture 11E. Exponential Distribution
18:00
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Lecture 11 Annotated Notes
(83 pages)
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Lecture 12. Statistics - Mean Mode Median
35:00
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Lecture 12 Annotated Notes
(20 pages)
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Weekly Quizzes - Probability
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Calculus (New Lectures : Updated)
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Lecture 1: Finding Limit of a function
116:00
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Annotated Notes Lecture 1 Limits and Indeterminant Form
(68 pages)
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Lecture 2: Methods to Evaluate the Limit of a function
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Annotated Notes Lecture 2 Evaluating Limits
(126 pages)
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Lecture 3: Limits L'Hôpital's rule and Other Indeterminate forms of powers
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Annotated Notes Lecture 3 L hopital rule and Evaluating Power forms in Indeterminate form
(78 pages)
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Homework Limit Calculus GATE CSE PYQs
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Lecture 4: Continuity and Introduction to Differentiability
91:00
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Annotated Notes Lecture 4 Continuity and Differentiability
(106 pages)
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Lecture 5: Maxima and Minima
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Lecture 6: Integration
107:00
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Annotated Notes Lecture 6 Integration
(97 pages)
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Weekly Quizzes - Calculus
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Calculus (Old Videos: Skip, not needed)
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About this series
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Limits in Calculus | Calculus | Engineering Mathematics | GATE | GO Classes | GATE Overflow
50:00
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Continuity in Calculus | Calculus | Engineering Mathematics | GATE | GO Classes | GATE Overflow
12:00
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Differentiability in Calculus | Calculus | Engineering Mathematics | GATE | GO Classes
17:00
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Maxima Minima in Calculus | Calculus | Engineering Mathematics | GATE | GO Classes
28:00
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Intermediate Value Theorem | Calculus | Engineering Mathematics | GATE Computer Science
18:00
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Rolle's Theorem and Examples | Calculus | Engineering Mathematics | GATE Computer Science
13:00
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Integration with ALL GATE PYQs | Tic Tac Toe method | Engineering Mathematics | GO Classes
44:00
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Limits Annotated Notes
(24 pages)
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Continuity Annotated Notes
(8 pages)
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Differentiability Annotated Notes
(7 pages)
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Maxima and Minima Annotated Notes
(15 pages)
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Intermediate Value Theorems Annotated Notes
(15 pages)
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Annotated Notes Rolle theorem
(11 pages)
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Integration Annotated Notes
(31 pages)
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LIVE Session 1: Limit and Continuity
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LIVE Session 1 Annotated Notes
(86 pages)
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LIVE Session 2: Differentiability
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LIVE Session 2 Annotated Notes
(107 pages)
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LIVE Session 3: Double Derivative and Mean Value Theorems
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LIVE Session 3 Annotated Notes
(83 pages)
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LIVE Session 4: Integration
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LIVE Session 4 Annotated Notes
(74 pages)
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Calculus Quiz - Weekly Quiz 14
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Weekly Quiz 14 - Calculus
(10 pages)
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Annotated Notes - Calculus Quiz Discussion
(70 pages)
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Toppers' Handwritten Notes
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Detailed Notes
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Short Notes
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Feedback & Review
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Feedback & Review
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