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Course11110408530 lectures

Basic Calculus for Engineers, Scientists and Economists

Prof. Joydeep Dutta · IIT Kanpur

Start with lecture 1 At NPTEL

Lectures

Numbers, Functions, Sequencs and Limits of Functions

  1. Numbers Video
  2. Functions-1 Video
  3. Sequence-1 Video
  4. Sequence-2 Video
  5. Limits and Continuity-1 Video
  6. Limits and Continuity-2 Video

Continuity, Derivative, Maxima and Minima and Taylors expansion

  1. Limits And Continuity- 3 Video
  2. Derivative- 1 Video
  3. Derivative- 2 Video
  4. Maxima And Minima Video
  5. Mean-Value Theorem And Taylors Expansion-1 Video
  6. Mean-Value Theorem And Taylors Expansion-2 Video

Integration Of Real Functions

  1. Integration -1 Video
  2. Integration - 2 Video
  3. Integration By Parts Video
  4. Definite Integral Video
  5. Riemann Integration -1 Video
  6. Riemann Integration - 2 Video

Function of two variables, Continuity and Differentiability, Lagrange Multiplier Rule.

  1. Functions Of Two Or More Variables Video
  2. Limits And Continuity Of Functions Of Two Variable Video
  3. Differentiation Of Functions Of Two Variables - 1 Video
  4. Differentiation Of Functions Of Two Variables - 2 Video
  5. Unconstrained Minimization Of Funtions Of Two Variables Video
  6. Constrained Minimization And Lagrange Multiplier Rules Video

Infinite Series and Multiple Integrals.

  1. Infinite Series - 1 Video
  2. Infinite Series - 2 Video
  3. Infinite Series - 3 Video
  4. Multiple Integrals - 1 Video
  5. Multiple Integrals - 2 Video
  6. Muliple Integrals - 3 Video

Syllabus and materials

At NPTEL, as the course publishes them.

Credits and licence

Institution
IIT Kanpur
Department
Mathematics
Teacher
Prof. Joydeep Dutta
Level
Undergraduate
Language
English
Subjects
Mathematics
Source
NPTEL
Licence
CC BY-NC-SA, as NPTEL states it. Non-commercial use only. NPTEL's terms
Attribution
NPTEL states: "Distributed under Creative Commons Attribution-ShareAlike / CC BY - NC - SA", beside a BY-NC-SA badge.
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