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MTH301 : Calculus II

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Course Info

Course Category

Mathematics

Course Level

Undergraduate

Credit Hours

3

Pre-requisites

MTH101

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 and vector fields with examples. Period functions and Fourier series with examples. Laplace transforms and related theorems.