# InfoCoBuild

## Basic Calculus for Engineers, Scientists and Economists

Basic Calculus for Engineers, Scientists and Economists. Instructor: Dr. Joydeep Dutta, Department of Humanities and Social Sciences, IIT Kanpur. 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 on detailed proof of results unless it is very simple. (from nptel.ac.in)

 Numbers

 Numbers, Functions, Sequences, and Limits of Functions Lecture 01 - Numbers Lecture 02 - Functions Lecture 03 - Sequences 1 Lecture 04 - Sequences 2 Lecture 05 - Limits and Continuity 1 Lecture 06 - Limits and Continuity 2 Lecture 07 - Limits and Continuity 3 Lecture 08 - Derivative 1 Lecture 09 - Derivative 2 Lecture 10 - Maxima and Minima Lecture 11 - Mean-Value Theorem and Taylor's Expansion 1 Lecture 12 - Mean-Value Theorem and Taylor's Expansion 2 Integration of Real Functions Lecture 13 - Integration 1 Lecture 14 - Integration 2 Lecture 15 - Integration by Parts Lecture 16 - Definite Integral Lecture 17 - Riemann Integration 1 Lecture 18 - Riemann Integration 2 Function of Two Variables, Continuity and Differentiability, Lagrange Multiplier Rule Lecture 19 - Functions of Two or More Variables Lecture 20 - Limits and Continuity of Functions of Two Variables Lecture 21 - Differentiation of Functions of Two Variables 1 Lecture 22 - Differentiation of Functions of Two Variables 2 Lecture 23 - Unconstrained Minimization of Functions of Two Variables Lecture 24 - Constrained Minimization and Lagrange Multiplier Rules Infinite Series and Multiple Integrals Lecture 25 - Infinite Series 1 Lecture 26 - Infinite Series 2 Lecture 27 - Infinite Series 3 Lecture 28 - Multiple Integrals 1 Lecture 29 - Multiple Integrals 2 Lecture 30 - Multiple Integrals 3

 References Basic Calculus for Engineers, Scientists and Economists Instructor: Dr. Joydeep Dutta, Department of Humanities and Social Sciences, IIT Kanpur. This course in basic calculus intends to equip the engineering and science with the mathematical tools that they would primarily require for their studies.