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> MTH201
MTH201
:
Multivariable Calculus
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Course Info
Course Category
Mathematics
Course Level
Undergraduate
Credit Hours
3
Pre-requisites
N/A
Instructor
Dr. M. Anwar Rao
Ph.D
University of Manchester, UK
Course Contents
Introduction to function of several variables. Elements of three dimensional geometry and coordinate systems. Limits and continuity of function of several variables with geometrical interpretations. Partial derivatives, geometric meanings and related results and theorems. Introduction to vectors and vector triple products. Tangent planes and normal lines. Extrema of functions of several variables, their examples and related results and theorems. Use of integrals and double integrals with examples. Polar coordinate systems their sketching and double integrals in polar coordinates with examples. Vector values functions, their limits and change of parameters. Exact differential and line integral with examples. Scalar field with examples. Higher order derivatives and Leibniz theorem. Taylor and Maclaurin series. Numerical integration.