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.