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Basic Calculus for Engineers, Scientists, and Economists. Instructor: Dr. Joydeep Dutta, Department of Humanities and Social Sciences, IIT Kanpur.
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English [CC]
FREE
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Description
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)
Course content
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- Numbers Unlimited
- Lecture 02 – Functions Unlimited
- Lecture 03 – Sequences 1 Unlimited
- Lecture 04 – Sequences 2 Unlimited
- Lecture 05 – Limits and Continuity 1 Unlimited
- Lecture 06 – Limits and Continuity 2 Unlimited
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- Lecture 07 – Limits and Continuity 3 Unlimited
- Lecture 08 – Derivative 1 Unlimited
- Lecture 09 – Derivative 2 Unlimited
- Lecture 10 – Maxima and Minima Unlimited
- Lecture 11 – Mean-Value Theorem and Taylor’s Expansion 1 Unlimited
- Lecture 12 – Mean-Value Theorem and Taylor’s Expansion 2 Unlimited
- Lecture 13 – Integration 1 Unlimited
- Lecture 14 – Integration 2 Unlimited
- Lecture 15 – Integration by Parts Unlimited
- Lecture 16 – Definite Integral Unlimited
- Lecture 17 – Riemann Integration 1 Unlimited
- Lecture 18 – Riemann Integration 2 Unlimited
- Lecture 25 – Infinite Series 1 Unlimited
- Lecture 26 – Infinite Series 2 Unlimited
- Lecture 27 – Infinite Series 3 Unlimited
- Lecture 28 – Multiple Integrals 1 Unlimited
- Lecture 29 – Multiple Integrals 2 Unlimited
- Lecture 30 – Multiple Integrals 3 Unlimited
Instructor
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