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 Course Page Mcqs Q & A Video Downloads
 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 Javascript is disable - Webestools - Vote Service (notation module) Books Calculus with Analytic Geometry by Howard Anton