
Calculus Module 1




Lecture 1: Finding Limit of a function




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




Annotated Notes Lecture 4 Continuity and Differentiability
(106 pages)




Lecture 5: Maxima and Minima  Derivative Tests  Mean Value Theorems




Lecture 6: Integration




Annotated Notes Lecture 6 Integration
(97 pages)



Calculus Module 2




Lecture 1: Syllabus of Module 2 and Introduction to Taylor Series




Annotated Notes Lecture 1 Module 2 Taylor Series
(60 pages)




Lecture 2: Multivariate Calculus(Partial Differentiation, Chain Rule)




Annotated Notes Lecture 2 Module 2 Partial Differentiation
(91 pages)




Lecture 3: Gradient and Directional Derivatives




Annotated Notes Lecture 3 Module 2 Gradient and Directional Derivatives
(89 pages)




5Minute Video to Visualize Partial Derivatives and Gradients




Lecture 4: Contour Maps and Level Curves




Annotated Notes Lecture 4 Module 2 Contours
(64 pages)




Lecture 5: Matrix Calculus




Annotated Notes Lecture 5 Module 2 Matrix Calculus
(46 pages)




Lecture 6: Positive Definite Matrices and Quadratic form




Annotated Notes Lecture 6 Module 2 Positive Definite Matrix Quadratic Form
(79 pages)




Lecture 7: Unconstrained Optimisation for Multivariate Functions (Interesting Lecture)




Annotated Notes Lecture 7 Module 2 UnConstrained Optimisation
(95 pages)




Lecture 8: Convex Functions and First, Second order conditions




Annotated Notes Lecture 8 Module 2 Convex Function
(82 pages)




Lecture 9 : Gradient Descent Algorithm




Annotated Notes Lecture 9 Module 2 Gradient Descent
(82 pages)




Lecture 10: Constrained Optimization with Equality Constraints




Annotated Notes Lecture 10 Module 2 Constrained Optimisation with Equality Constraints
(76 pages)




Lecture 11: Constrained Optimization with Inequality Constraints (KKT Conditions)




Annotated Notes Lecture 11 Module 2 Constrained Optimisation with Inequality Constraints (KKT Conditions)
(94 pages)




Feedback of Calculus for GATE DA

