Mathematics
MTH001
Elementary Mathematics
MTH100
General Mathematics
MTH101
Calculus And Analytical Geometry
MTH201
Multivariable Calculus
MTH202
Discrete Mathematics
MTH301
Calculus II
MTH302
Business Mathematics & Statistics
MTH303
Mathematical Methods
MTH401
Differential Equations
MTH501
Linear Algebra
MTH601
Operations Research
MTH603
Numerical Analysis
MTH201 - Multivariable Calculus
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Course Category: Mathematics
Course Level: Undergraduate
Credit Hours: 3
Pre-requisites: N/A

Course Synopsis

This course focuses on two basic applications: Differential Calculus and Integral Calculus. Under these, we will study different techniques and some Fundamental theorems of calculus in multiple dimensions for example Stokes' theorem, Divergence theorem, Green's theorem, Other topics of discussion are Limits and Continuity, Extreme values, Taylor and Maclaurin Series.

Course Learning Outcomes

Upon successful completion of this course, you should be able to:
  • Determine Limits and Continuity of multi-variable function
  • Evaluate Partial Differentiation and will know the related techniques
  • Apply the concept of Extreme-Values of multi-variable functions to real world problems
  • Solve Double Integral for Cartesian and Polar co-ordinates and can do their inter-conversions
  • Find Triple Integrals in rectangular, spherical and cylindrical co-ordinates
  • Apply Multiple Integrals for area and volume problems
  • Apply elementary operations on Vector-Valued function
  • Compute arc-length and solve problems regarding change of parameter
  • Evaluate Line, Surface and Volume integral
  • State Green’s Theorem, Divergence Theorem and Stoke’s Theorem and show how these theorems are applied
  • Find Taylor and Maclaurin series of given function
Course Instructor

Dr. M. Anwar Rao, Ph.D University of Manchester, UK

Books

Calculus with Analytic Geometry by Howard Anton