PMAT 22583: Functions of Several Variables

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Course Code            : PMAT 22583

Title                          : Functions of Several Variables

Pre-requisites          : PMAT 21553

 Learning Outcomes:

At the end of this course, the student should be able

  • demonstrate analytical and geometrical properties of functions of several variables

 Course Contents:

Geometrical Aspects: Level curves, Parametric surfaces; Some special surfaces such as planes, spheres, cylinders and cones; Surface area.

Analytical Aspects: Domain of a function of two variables; Limits and continuity; Partial derivatives; Differentiability; Tangent planes and linear approximations; Chain rules; Maxima and minima; Lagrange multipliers.

Coordinate Systems: Cartesian, polar, spherical and cylindrical. coordinates

Multiple Integrals: Double integrals; Iterated integrals; Double integrals over general regions.

 Method of Teaching and Learning: A combination of lectures and tutorial discussions.

 Assessment: Based on tutorials, tests and end of course examination.

 Recommended Reading:

  1. Malik, S. C. and Arora, S., (5th edition, 2017) Mathematical Analysis, New Age International
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