MATH 241, section 1 -- Multivariable Calculus, Fall 2010

Syllabus and Schedule

• Course syllabus
• Course schedule, last changed October 19.

Examples, Class Notes, etc.

• Slices example, class September 3.
• General information on Swords 219 lab.
• Information on Maple.
• Lab Day 1 worksheet (September 15).
• Cycloid demo worksheet, class September 24.
• Critical points of vector fields, class September 28.
• Lab Day 2 worksheet (September 29).
• Graphs and contours (October 5).
• Blizzard of 1978
• Differentiability (October 20).
• Lab Day 3 worksheet (October 27).
• First Lagrange multiplier example (November 2).
• Lab Day 4 worksheet (November 3).

Information and Announcements

• The Final Exam for this course will be given 3:00 - 5:30pm on Tuesday, December 14 -- final exam review sheet. This will be a comprehensive exam, covering all the material from the three in-class midterms, plus the material on Problem Set 9.
• Hour exam review sheets:
  • Exam 1 review sheet
  • Exam 2 review sheet
  • Exam 3 review sheet
• Review session for final exam: 9:00am on Monday, December 13, in Swords 359.

Solutions for Quizzes, Exams, etc.

• Solutions for Exam 1.
• Solutions for Exam 2.
• Solutions for Problem Set 7.
• Solutions for Problem Set 8.
• Solutions for Exam 3.
• Solutions for Problem Set 9.
• Solutions for Final Exam.

Assignments

• Discussion 1, September 7. Writeups due: September 8 in class.
• Individual Problem Set 1:
  • Section 1.1 -- 4, 7, 10, 12, 13 (part (a) only).
  • Section 1.2 -- 3, 4, 6 (there is a typo here -- the problem should say vectors in R² not R³), 14, 15.
  due: at start of class on Friday, September 10.
• Individual Problem Set 2:
  • Section 1.3 -- 1acf, 3, 4, 5, 7ac, 9, 11.
  • Section 1.4 -- 2ac, 8, 11, 13a, 14.
  due: at start of class on Friday, September 17.
• Individual Problem Set 3:
  • Section 2.1 -- 3, 4, 5ac, 6, 7ac, 11, 12.
  • Section 2.2 -- 1abd, 2ac, 5, 10.
  due: at start of class on Friday, September 24.
• Individual Problem Set 4:
  • Section 2.3 -- 9, 13.
  • Section 2.4 -- 2, 3, 4ac, 5ac, 6.
  • Section 3.1 -- 6ac, 8, 9ac, 11.
  due: at start of class on Friday, October 8.
• Individual Problem Set 5:
  • Section 3.2 -- 6, 7ac, 8a, 10, 12, 15.
  • Section 3.3 -- 1, 3bc, 4, 5, 7ace, 8ac, 9, 10.
  due: at start of class on Friday, October 22.
• Individual Problem Set 6:
  • Section 3.4 -- 2cd, 4ad, 5, 7ab.
  • Section 3.5 -- 1ac (adding to the directions: ``in two ways -- first by direct substitution and differentiation, second using the Chain Rule''), 2ad, 3a, 5, 6ab.
  • Section 4.1 -- 3, 4ad.
  due: at start of class on Friday, October 29.
• Individual Problem Set 7:
  • Section 4.2 -- 3bd, 4ace, 8.
  • Section 4.3 -- 1ad, 2ad, 3ad, 5, 9, 10.
  • Section 4.4 -- 1c, 2b.
  due: at start of class on Friday, November 12.
• Individual Problem Set 8:
  • Section 5.1 -- 5.
  • Section 5.2 -- 1ab,2ad,4ab,8b,9a.
  • Section 5.3 -- 3ace,4bdf,6ab,7a,8a.
  due: at start of class on Friday, November 19.
• Individual Problem Set 9:
  • Section 5.4 -- 4a, 6b, 8a (also evaluate using cylindrical coordinates).
  • Section 5.5 -- 7c.
  • Section 5.6 -- 2ace, 5a.
  • Section 6.4 -- 1a, 10, 11, 12. due: at start of class on Friday, December 10.

Related Links

• A treasure trove of calculus-related sites on the Internet.
• For when you need a laugh.
• Ludwig Otto Hesse -- the inventor of the Hessian determinant and the Hessian criterion.
• Bernhard Riemann -- one of the greatest mathematicians of all time (with Archimedes, Euler, Gauss, Hilbert, Newton, Poincare )

• Note: Some of the links on this page lead to documents in pdf format. These will only be readable if you have a pdf viewer plugin for your browser (such as Acrobat Reader). This is available at no cost from Adobe.

Last modified: December 15, 2010