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