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Math 254: Multivariable Calculus

Fall 2009

Contents [Top]

Procedural Documents  [Top  Contents]

Note on Mathematica Notebooks

  • Files labeled as "notebooks" or with the file extension "nb" (e.g., example.nb) are created using a program called Mathematica by Wolfram Research. 

  • For those who don't have a license of Mathematica, the notebooks may be viewed using MathReader (which is similar to the way Adobe Acrobat can be used to open, but not edit pdf documents).

 

Topics of Study  [Top  Contents]

Topic Handouts Lectures Notes Reading guides
Ch 14: Intro to Partial Derivatives
  • 14.01: Examples of plots in 3-space (here)
  • 14.01: Notebook (here)
  • 14.03: Partial Derivatives notebook (here)
  • 14.04: Tangent planes and differentiability notebook (here)
  • 14.06: The gradient to a level surface notebook (here)
Ch 15: Multiple Integrals
  • 15.02 #32 graph (here)
  • 15.05 polar plot (here)
  • 15.07 cylindrical coordinates (here)
  • 15.08 spherical coordinates (here)
  • 15.09 Jacobian notebook (here), Simmons, and Thomas
Ch 16: Vector Calculus

 

 

Study Guides, Tests and Test Keys  [Top  Contents]
 

Topic Review Test

Test Key

Quiz 1      
Test 1 Notes, Review problems for Test 1 (key)
Stewart chapter 14 review solutions
   
Quiz 2      
Test 2 Notes, Review for Test 2 (key)
Stewart chapter 15 review solutions
   
Quiz 3      
Test 3 Notes, Review for Test 3 (key)
Stewart chapter 16 review solutions
   
Final Exam Review Notes for the Final Exam    

 

Videos  [Top  Contents]

Go to the MIT Open Courseware Site

 

Last updated: March 18, 2014