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Extension
This includes extension of cauchy integral formula and there are lost of questions to exercise for the same formula
Ishant Goel
Cauchy's inequality
This file contains the proof of Cauchy's inequality as well as there are some consequences of extension of cauchy integral formula
Definite integrals
In this file, there is way to find the definite integral of a function as well as there is most important and basic theorem of calculus i.e fundamental theorem of calculus
Contours
There is a brief introduction of contours and also then there are parametric representation of given curve as well as parametric form too.... Then there are various examples by which you can practice at your best
Antiderivatives
This is introduction of antiderivatives and a theorem for the same as well as various examples for practice
Cauchy integral formula
This lecture includes the most important cauchy Goursat theorem as well as there is cauchy integral formula and then related examples
Assignment of limit
There are various questions of related exercises and theorems too which prove to be very useful in examination time
Limits at infinity
First of all, there the limits involving the points at infinity and then there are infinite limits definition as well as related examples
Algebra of limits
In this file , there are proof of limit of different functions like what is the limit of sum of two functions, limit of difference of two functions, limit of multiple of two functions and limit of division of two functions
Continuity
This is introduction of the most important topic i.e. continuity. This file also contain some important theorems which will be very useful in solving the questions and at last there is an example which makes you things clear
Cauchy Riemann
This is one of the most important result keeping in view the exam perspective... It's already repeat in previous examinations
Improper integrals
There are various questions in this file for improper integrals... Like to show if given improper integral converges or not and also there are some proofs too