| Section | Problems to do | Turn In | Due Date | Comments |
| 10.1 | #1-25 odd,33,35,37,41,45, 49,51,53 | 26,34 | Thursday Aug 30 | A useful algebraic step in 49 and 51 is to complete the square |
| Plane Handout | #1-7 | 8 | Friday Aug 31 | 9 and 10 are just a bit more challenging -- try them |
| 9.4 | #1-9,11,17,21,31,33 | 28 | Tuesday Sep 4 | |
| 10.6 | #1-12,35,37,39,43 | 42 | Friday Sep 7 | For 42 (to be submitted) include sketches of cross-sections and at least an attempt at sketching the entire surface. |
| 12.1 | #1,3,7,9,13-18,19,25, 35,39 | 28 | Monday Sep 10 | |
| 12.2 | #1,3,9,11,13,15,21,25, 27,29,31,33,35,37,45,47 | None | None | |
| 12.3 | #1,5,7,11,13,15,17,23,25, 29,31,37,39,43,47,51, 55,69,73,75 | None | None | |
| 12.4 | #1,3,7,9,13,17,39,42,47,49 | None | None | |
| 10.2 | #1-23 odd,25,29,33,39,41, 43,45,49,51 | 50 | Thursday Sep 20 | A median in a triangle is the segment from a vertex to the midpoint of the side opposite that vertex. For Problem 49(c), use the fact that the medians of a triangle all intersect at a point that is two-thirds of the way along each median. |
| 10.3 | #1-7 odd,9,13,15,21,23, 24,28 | 18 | Monday Sep 24 | |
| Planes Handout #2 | #1-5 | 4 | Tuesday Sep 25 | |
| 11.1 | #1,3,7,9,15,23 | 26 | Thursday Sep 27 | |
| 11.3 | #1,3,17 | 8 | Friday Sep 28 | For Problems 1, 3 and 8, just find the length of the given curve. For 17(a), you can find an equation for the plane by finding the points on the curve for t=0,π/2,π,3π/2 and then using these to compute \(m_x\) and \(m_y\). |
| 12.5 | #1,3,5,7,9,13,15,17,19, 27,29,36 | 18,32 | Thursday Oct 4 | |
| Gradient Handout | # 1,2 | None | None | |
| 12.6 | #9,11,25,27,29,33,37,39 | 40 | Friday Oct 5 | |
| Differentials Handout | #1-7 | 6 | Friday Oct 5 | The problem to submit is #6 on the handout which is the same as #48 in Section 12.6. |
| 12.7 | #11,21,25,27,29,31,35, 42,43,46 | None | None | The directions for problem #42 use the word "imagining". It is more accurate to use the word "visualizing". |
| Applied Optimization Handout | #1-6 | None | None | |
| 12.8 | #3,10,11 | 5 | Tuesday Oct 23 | |
| Applied Optimization Revisited | #2,4 | None | None | You should redo these problems using the method of Lagrange multipliers and then compare this solution method with your original solution method. |
| Nonuniform density Handout | #1,2,3,5 | 4 | Thursday Oct 25 | |
| 13.1 | #3,7,9,13,15,17,21,23 | None | None | |
| 13.2 | #3,9,17,25,29,33,35,37,47 | None | None | |
| Area Density Handout | #1-5 | None | None | #5 uses polar coordinates. Work it after we review them. |
| 9.1 | #3,5,7-21 odd,23,29,41 | None | None | |
| 9.2 | #1,13,21,33,34 | None | None | Now work #5 from the area density handout |
| 13.4 | #3,9,11,17,21,29,31(a) | 30 | Monday Nov 5 | |
| 13.5 | #5,11,17,25,29,35,39 | 36 | Monday Nov 5 | |
| 13.7 | #3,11,13,17,53,57,83 | 62 | Tuesday Nov 6 | |
| 13.7 | #21,31,33,41,49,65,81 | 66 |
Thursday Nov 8 | |
| Volume Density | #1-5 | None | None | |
| Integration Over Curves | #1,2,3,5,7,8,9 | 8 | None | For an optional challenge, try numbers 4 and 6.
This same material is covered in Section 14.1 of the text using parametrizations rather than "zooming in". For another optional challenge, try Number 11 on page 855. Think of the fucntion \(f(x,y,z)=xy+y+z \) as a length charge-density function. |
| 10.4 | #1,3,5,15,17,27,31,33 | 30 | Thursday Nov 15 | |
| Surface Integrals | #2,3,4,5 | None | None | |
| Vector Curve Integrals | #1-4 | None | None | |
| 14.2 | #9,15,17,19,23,29,37 | None | None | On problem #23 only do circulation and ignore flux. |
| 14.3 | #1,3,7,9,19,21,25,27,31, 35,36 | None | None | |
| Vector Surface Integrals | #1-5,7 | 6 | Monday Dec 3 | |
| Divergence | #1-9 | 6 | TBA | |
| Curl | #1-9 | 6 | TBA | |
| Fundamental Theorems | #1-5 | None | None |