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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 three dimensional geometry. Limits, continuity and Partial Derivatives of Multivariable Function. Vectors. Directional derivative. Tangent Planes and Normal Lines to the Surfaces. Maxima And Minima of Functions of two variables. Applications of Extrema of Functions. Double Integration in rectangular and polar coordinates. Vector Valued Functions. Integration of Exact differentials. Line integrals. Greens Theorem and its application. Divergence and Curl of a vector. Scalar Fields, Higher Order Derivative & Leibniz Theorem, Taylor and Maclaurin Series and Numerical Integration.