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Course Co-ordinated by IIT Roorkee
Coordinators
 
S. K. Gupta
IIT Roorkee

 
Dr. Sanjeev Kumar
IIT Roorkee

 

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This course is a basic course offered to UG and PG students of Engineering/Science background. It contains various topics related to the calculus of the functions of two or more variables. In particular, this course includes topics like differentiation and integration of the functions of two or more variables together with their various applications. This course also includes the calculus of vector functions with different applications.

 

Week

Topics

1.

Limits, continuity and partial derivatives of multivariable functions.

2.

Differentiability and chain rule.

3.

Change of variables, Euler’s theorem, tangent planes, normal lines and extreme values.

4.

Taylor’s theorem, error approximation, polar curves and multiple integrals.

5.

Change of order and change of variables in multiple integral.

6.

Beta and gamma functions.

7.

Normal vector and potential field.

8.

vector identities and line integral.

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1. E. Kreyszig, Advanced Engineering Mathematics, 9th edition, John Wiley and Sons, Inc., U.K. (2011) 
2. R.K. Jain and S.R.K. Iyenger, Advanced Engineering Mathematics, 2nd Edition, Narosa Publishing House (2005) 
3. M.D. Weir, J. Hass, F.R. Giordano, Thomas’ Calculus, 11th Edition, Pearson Education (2008)


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