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Calculus Module 1
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Lecture 1: Finding Limit of a function
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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
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Annotated Notes Lecture 4 Continuity and Differentiability
(106 pages)
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Lecture 5: Maxima and Minima | Derivative Tests | Mean Value Theorems
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Lecture 6: Integration
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Annotated Notes Lecture 6 Integration
(97 pages)
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Calculus Module 2
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Lecture 1: Syllabus of Module 2 and Introduction to Taylor Series
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Annotated Notes Lecture 1 Module 2 Taylor Series
(60 pages)
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Lecture 2: Multivariate Calculus (Partial Differentiation, Chain Rule)
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Annotated Notes Lecture 2 Module 2 Partial Differentiation
(91 pages)
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Lecture 3: Gradient and Directional Derivatives
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Annotated Notes Lecture 3 Module 2 Gradient and Directional Derivatives
(89 pages)
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5-Minute Video to Visualize Partial Derivatives and Gradients
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Lecture 4: Contour Maps and Level Curves
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Annotated Notes Lecture 4 Module 2 Contours
(64 pages)
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Lecture 5: Matrix Calculus
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Annotated Notes Lecture 5 Module 2 Matrix Calculus
(46 pages)
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Lecture 6: Positive Definite Matrices and Quadratic form
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Annotated Notes Lecture 6 Module 2 Positive Definite Matrix Quadratic Form
(79 pages)
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Lecture 7: Unconstrained Optimisation for Multivariate Functions (Interesting Lecture)
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Annotated Notes Lecture 7 Module 2 UnConstrained Optimisation
(95 pages)
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Lecture 8: Convex Functions and First, Second order conditions
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Annotated Notes Lecture 8 Module 2 Convex Function
(82 pages)
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Lecture 9 : Gradient Descent Algorithm
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Annotated Notes Lecture 9 Module 2 Gradient Descent
(82 pages)
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Lecture 10: Constrained Optimization with Equality Constraints
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Annotated Notes Lecture 10 Module 2 Constrained Optimisation with Equality Constraints
(76 pages)
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Lecture 11: Constrained Optimization with Inequality Constraints (KKT Conditions)
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Annotated Notes Lecture 11 Module 2 Constrained Optimisation with Inequality Constraints (KKT Conditions)
(94 pages)
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Feedback of Calculus for GATE DA
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