Homework Assignments
Homework will be due once a week. Your graded homework will always be posted on our course's WebWork page. This page will list optional problems (not to be submitted) that you can work through as you attempt to digest the material. It is critically important that you spend time practicing the theory and techniques we develop in this class, so completing optional problems is highly recommended.
assignments
Your graded homework assignment is posted as ``Assignment01" on our course's WebWork page. It is also highly recommended that you work through the optional problems that correspond to this assignment.
These problems are not to be submitted. They are included to give you some problems you might try out as you work through the concepts we've discussed in class.
- Section 11.1: 9, 24, 25, 27, 28
- Section 11.2: 3,5,7,11,17,29
Your graded homework assignment is posted as ``Assignment02" on our course's WebWork page. It is also highly recommended that you work through the optional problems that correspond to this assignment.
These problems are not to be submitted. They are included to give you some problems you might try out as you work through the concepts we've discussed in class.
- Section 11.2: 31,33,43
- Section 11.3: 1,3,5,7,9,11,13,17,19,21,23,29,33,37,41,56,57,57,59,63,67
Your graded homework assignment is posted as ``Assignment03" on our course's WebWork page. It is also highly recommended that you work through the optional problems that correspond to this assignment. In particular, you should certainly work on problems 31 and 33 from section 13.2 which give some applications of vectors to questions in physics.
These problems are not to be submitted. They are included to give you some problems you might try out as you work through the concepts we've discussed in class.
- Section 11.4: 5,7,15,19,21,25,31,37,39
- Section 13.2: 7,9,11,13,17,19,21,23,25,29,31,33,35
Notes: (1) For problem 31 in section 13.2, you'll need the definition of speed provided in problem 30. (2) For problem 33, the problem is phrased in SI units, with the object in the middle assigned a particular mass. You'll need to compute that mass into a unit of force (specifically Newtons) by multiplying the mass by 9.8 N/kg.
Your graded homework assignment is posted as ``Assignment04" on our course's WebWork page.
These problems are not to be submitted. They are included to give you some problems you might try out as you work through the concepts we've discussed in class.
- Section 13.3: 1,5,7,9,15,17,23, 25, 37, 41, 45, 47,
- Section 13.4: 1,3,7,15,19,27,31
- Section 13.5: 3,7,12,13,23,27,31,35,37,49,51,59,63,
Your graded homework assignment is posted as ``Assignment05" on our course's WebWork page.
These problems are not to be submitted. They are included to give you some problems you might try out as you work through the concepts we've discussed in class.
- Section 14.1: 19--24
- Section 14.2: 9,11,13,17,21,23,25,31
- Section 14.3: 1,5,17,19,23,43
Your graded homework assignment is posted as ``Assignment06" on our course's WebWork page.
These problems are not to be submitted. They are included to give you some problems you might try out as you work through the concepts we've discussed in class.
- Section 15.1: 11, 13, 15, 19, 31, 33, 34, 39, 41, 43, 55, 57, 59
- Section 15.2: 7, 11, 15, 17, 39, 41
- Section 15.3: 5, 15, 17, 19, 21, 23, 25, 27, 29, 33, 35, 41, 51, 55, 61, 63, 65
- Section 15.4: 1, 3, 5, 21
Your graded homework assignment is posted as ``Assignment07" on our course's WebWork page.
These problems are not to be submitted. They are included to give you some problems you might try out as you work through the concepts we've discussed in class.
- Section 15.5: 1,3,5,7,9,11,13,15,17,23,39,45
- Section 15.6: 5,7,11,13,15,21,25,29,31,41,47
Your graded homework assignment is posted as ``Assignment08" on our course's WebWork page.
These problems are not to be submitted. They are included to give you some problems you might try out as you work through the concepts we've discussed in class.
- Find the global maximum and minimum for the function $f(x,y) = xy+y$ on the set $x^2+y^2 \leq 4$. [Hint: Since you're optimizing a function on a closed, bounded domain, you know to look for critical points on the interior of the region and on the boundary. To find the maximum and minimum values along the boundary, use Lagrange multipliers.]
- Find the global maximum and minimum for the function $f(x,y,z) = 3xz+6y$ on the set $x^2 + 2y^2 + z^2 \leq 6$. [Hint: Since you're optimizing a function on a closed, bounded domain, you know to look for critical points on the interior of the region and on the boundary. To find the maximum and minimum values along the boundary, use Lagrange multipliers.]
- 15.7: 1, 3, 5, 7, 9, 15, 29, 35
- 15.8: 11, 17, 23, 26
Solutions are posted here.
A fake homework assignment is posted as ``Assignment09" on our course's WebWork page. It contains materials that will be relevant for Midterm 2
Your graded homework assignment is posted as ``Assignment10" on our course's WebWork page.
These problems are not to be submitted. They are included to give you some problems you might try out as you work through the concepts we've discussed in class.
- Section 16.5: 3, 5, 10, 13, 15, 23
- Section 16.6: 5, 7, 9, 11, 13, 21, 29, 33, 39, 45(a,b)
Your graded homework assignment is posted as ``Assignment11" on our course's WebWork page.
Your graded homework assignment is posted as ``Assignment12" on our course's WebWork page.
A fake homework assignment is posted as ``Assignment13" on our course's WebWork page. This is not an assignment which you'll submit for a grade, but it does contain problems that are relevant as you prepare for midterm 3. Everyone is encouraged to work through these problems.
An optional homework assignment is posted as ``Assignment14" on our course's WebWork page. Everyone is welcome to attempt this problem set; your grade on this problem set will only be counted if it improves your overall homework grade. If your grade on this homework set does not improve your overall homework grade, it will NOT count as your dropped homework grade. Regardless of whether you finish the assignment by the due date, everyone is encouraged to work through these problems since they cover material that will be relevant for the final exam.
These problems are not to be submitted. They are included to give you some practice with the notions of divergence, curl, surface integrals and flux integrals. Divergence and curl will be topics covered on (optional) quiz 10, and they are also topics that are fair game for the final exam. Surface and flux integrals will also be covered on the final exam.
- Section 17.5: 1, 3, 5, 7, 19
- Section 17.6: 33, 37, 39, 41, 57
- Section 17.7: 5, 7, 19, 21, 23