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Indian Institute of Technology Kanpur

Basic Calculus for Engineers, Scientists and Economists

Indian Institute of Technology Kanpur and NPTEL via Swayam

Overview

This course in basic calculus intends to equip the engineering and science with the mathematical tools that they would primarily require for their studies. The emphasis is on understanding the concepts through examples and exercises. There will be no detailed proof of results unless it is very simple.

 

Syllabus

Week 1. Numbers, Functions, Sequencs and Limits of Functions

Week 2. Continuity, Derivative, Maxima and Minima and Taylor's expansion

Week 3 : Integration of Real Functions

Week 4 : Function of two variables, Conitunuity and Differentiability, Lagrange Multiplier Rule.

Week 5: Infinite Series and Multiple Integrals.

 

Taught by

Joydeep Dutta

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