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)Â 2. R.K. Jain and S.R.K. Iyenger, Advanced Engineering Mathematics, 2nd Edition, Narosa Publishing House (2005)Â 3. M.D. Weir, J. Hass, F.R. Giordano, Thomasâ€™ Calculus, 11th Edition, Pearson Education (2008)
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