Math 251: Multivariable Calculus (Fall 2006)

Course Information:

• See the Math 251 course website for more information about this course.
• See Dr. Z.'s Class webpage for specific information about these sections of the course.
• Homework Problems
• Class Log -- a list of topics covered in each recitation section

Information about Maple assignments:

• for help with maple in general...
  • the Rutgers Maple help pages -- this page was invented based on the ideas of past Math 251 students. Please make use of it and email me suggestions for how to make it better!
  • Rutgers Maple help pages (backup copy) -- if you have a problem with the math server, this is identical to the previous link.
• about the first maple assignment...
  • instructions for Maple assignment #1 (due October 6, 2006) (*this is a .pdf file and requires Adobe Reader (free download) to open.)
  • background/help for Maple assignment #1 (due October 6, 2006)
• about the second maple assignment...
  • instructions for Maple assignment #2(due October 20, 2006) (*this is a .pdf file and requires Adobe Reader (free download) to open.)
  • background/help for Maple assignment #2 (due October 20, 2006)
  • data for the 2nd Maple lab.
• about the third maple assignment...
  • instructions for Maple assignment #3(due November 3, 2006) (*this is a .pdf file and requires Adobe Reader (free download) to open.)
  • background/help for Maple assignment #3 (due November 3, 2006)
  • data for the 3rd Maple lab.
• about the fourth maple assignment...
  • instructions for Maple assignment #4(due December 1, 2006) (*this is a .pdf file and requires Adobe Reader (free download) to open.)
  • background/help for Maple assignment #4 (due December 1, 2006)
  • data for the 4th Maple lab.

Other Useful Links:

• Places to review Calc 1 and Calc 2
  • Visual Calculus -- a series of calc 1 and calc 2 tutorials from the University of Tennessee
  • HMC Calculus Tutorials -- calculus review pages from Harvey Mudd College
• general misc.
  • some calc 3 animations -- if you want help visualizing things...
  • Paul's Online Math Notes from Lamar University -- (suggested by S. Labudzinski) well-illustrated notes for just about every core math course.
• Chapter 12 (Vectors and the Geometry of Space)
  • Working with vectors -- A well-illustrated tutorial to vectors and vector operations.
  • notes on the equation of a line and a plane in 3-space
• Chapter 13 (Vector Functions)
  • notes on vector functions
  • notes on normal/tangent vectors, curvature, and other such fun
  • more notes on arc length, curvature, tangent vectors, normal vectors, and curvature -- you might find the animations here useful if you need help visualizing these concepts
  • (using the info you learned in 13.3, can you explain this picture from the main math 251 website?)
• Chapter 14
  • some notes on multivariable functions (with pictures)
  • some notes on partial derivatives
  • practice mideterm exams from a University of Illinois Calc 3 instructor (with solutions!) -- (extra practice problems never hurt anyone, right? ;) )
  • some notes on Lagrange multipliers
• Chapter 15
  • (I haven't found any particularly enlightening websites for iterated integrals... If you see something that you think belongs here, email me.)
• Chapter 16
  • line integrals -- a few examples.. the first few paragraphs might help you visualize line integrals better...
  • some decent "pictures" of div and curl