PMAT 31013

>< Type/ Status : Elective
>< Title : Introduction to Functions of Several Variables
>< Pre- requisites : PMAT 22025
>< Objectives :
At the end of this course, the students will be able to extend the ideas and concepts they have studied for functions of a single variable. Also they will be able to find limits, partial derivatives and extrema for functions of several variables, and compute double integrals.
>< Course Content :

Limits, Continuity, Partial derivatives, Differentiability, Sufficient conditions for differentiability, Composite functions and the chain rules, Higher order partial derivatives, Changing the order of differentiation, The mean value theorem, Taylor’s formula and series, Extrema for functions of several variables, Lagrange multipliers, Plane transformations, The double integral, Changing the order of integration, The change of variables theorem.

>< Methodology : A combination of lectures and tutorial discussions
>< Scheme of Evaluation : Based on tutorials, tests and end of course examination
>< Recommended Reading :
1. Spiegel, M.R. (1974). Advanced Calculus, McGraw-Hill, New York.
2. Arora, S. & Malik, S.C. (1994). Mathematical Analysis, Wiley Eastern.

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