
Course Category: 
Mathematics 
Course Level: 
Undergraduate 
Credit Hours: 
3 
Prerequisites: 
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 multivariable function
 Evaluate Partial Differentiation and will know the related techniques
 Apply the concept of ExtremeValues of multivariable functions to real world problems
 Solve Double Integral for Cartesian and Polar coordinates and can do their interconversions
 Find Triple Integrals in rectangular, spherical and cylindrical coordinates
 Apply Multiple Integrals for area and volume problems
 Apply elementary operations on VectorValued function
 Compute arclength 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



