| Math 212: Multivariable Calculus (Fall 2005) |
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| Home > News |
| News |
| You're Invited To Lunch: Every Monday between 12:30-1:30 the Math faculty and others get together for lunch in Branca Patio at the Johnson Student Center. Please join us! |
| Fri Dec 9: The Fall 2005 Final exam and Final Exam Solutions are now available. |
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Wed Nov 30: Check out the cool Vector
Field Simulator online to explore properties of div and curl. Provisional grades should be available on Blackboard after Monday's class. Students with averages of an A or better (this does NOT include A-) can elect to not take the final exam. There will be no class on Friday December 2. Quizzes (and Homework) are due on Mon December 5. |
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Mon Nov 28: Quiz 11 and BONUS
Quiz 8 are available online. HINT (on Quiz 11): to show path independence use the Fundamental Theorem for Line Integrals to show the value by direct computation of the line integral is the same if one just evaluates the potential function at the end points. HINT (on Bonus Quiz 8): Look up or prove for oneself the following identities about curl. curl(kF)=kcurl(F) and curl(F_t)=(curl F)_t. Basically one can reverse the order of taking the curl operation with scalar multiplication and with a partial time derivative (it is really just a very fancy derivative). There will be no class on Friday December 2. Quizzes (and Homework) are due on Mon December 5. |
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Mon Nov 21 (1-week
take-home exam now available) Since I don't feel like the class performance on the in-class exam given was all that it could be, I'm making the exam available to be done as a take home exam also. I will then grade both versions of the exam your official score on Exam 2 will be an average of the two, if it is greater than your in-class exam. This is take home exam. There is to be no discussion between students about the questions on the exam and everyone is to work on their own. If you have questions you may ask them of me. Your Take Home Exam 2 is due Monday November 28 at 9:30am There is a Quiz and a BONUS Quiz also due on Monday November 28. The homework due today at 5p is page 332, #11,13 and page 346 17, 18, 19. The homework due next Monday at 5p is page 363-365 35, 40, 43, 44, 49. |
| Thu Nov 16: Scanned in new cleaner solutions to Spring 2004 Exam 2 |
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Wed Nov 15: The prep materials for Exam 2
are available along with solutions. Check the Exams tab above.
Important Topics are: Multivariable Chain Rule, Iterated Integration, Multiple Integration, Implicit Function Theorem (see the problem in the Spring 2004 Exam) and Multivariable Optimization (often using Lagrange Multipliers) are the main ideas. You should understand these ideas, graphically, analytically and computationally. I will have extra office hours until about 6pm on Wed and Thursday. |
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Fri Oct 28: There is a QUIZ that has
been distributed about multivariable optimization.
HINT: A function has a maximum and minimum value on a closed bounded set and where the gradient is equal to zero is a candidate for the location of an extreme value. |
| Tue Oct 25: Grades on Blackboard are now completely up to date.Login to see whether what scores I have recorded are what you have in your records. Disregard the percentage class grade; it's an unweighted grade. |
| Mon Oct 17: HW #7 will be due on Fri Oct 21. There is a Quiz 6 which is due on Mon Oct 24. |
| Fri Oct 14: Exam 1 solutions are now available on the Exam Page |
| Thu Oct 13: Quiz solutions are now available on the Quiz Page |
| Tue Oct 11: Homework solutions are now available on the Homework page |
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Fri Oct 7: EXAM 1 is next Friday October 14.
There is a QUIZ and BONUS QUIZ available for this weekend. QUIZ 5 HINT: Recall that for a limit to exist it must produce the same limit regardless of what path one approaches the limit point from. BONUS QUIZ 4 HINT: Think about what information the partial derivatives which appear in the tangent formula give you about the function f(x,y) at a particular point (a,b,f(a,b)). |
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Fri Sep 30: There is a QUIZ and BONUS
QUIZ available for this weekend. Also the Week
6 and Week 7 assignment sheets are available also.
QUIZ 4 HINT: Recall the example from Class 10. BONUS QUIZ 3 HINT: The expressions get so huge you might want to replace them with a particular symbol of "empty parentheses." Either that or use a lot of extra paper (which MUST BE STAPLED). |
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Fri Sep 23: There is a QUIZ and BONUS
QUIZ available for this weekend. Since I forget to hand them out in
class today, there are some copies available outside my office. Also Week
5 assignment sheet is available also.
QUIZ 3 HINT: Think about the problem as the solution of Ax=0. Be very specific about characterizing what A, B and C can or can not be in Question 2. BONUS QUIZ 2 HINT: The result of a cross-product of two vectors is always orthogonal (or NORMAL) to both of the first two vectors. |
| Mon Sep 19: Visiting Professor Martin Flashman will be teaching today's class. His goal is to assist you in the visualization of lines and planes and k-planes in n-dimensional space. NOTE: HW #3 will only include Class 6 and Class 7. |
| Fri Sep16: Quiz 2 is now available. HINT: In part (d) I just want you to verify that one obtains the same number by doing these two calculation for these specific given vectors. |
| Fri Sep 9: Quiz 1 is now available. NO HINT! There is also a Bonus Quiz available. |
| Wed Sep 7: There is a math student reception in Fowler 306 today. Free food! |
| Fri Sep 2: The classroom has been changed permanently to Fowler 307. |