Homework Assignments (Rogawsky)
| Section | Problems to do | Turn In | Due Date | Comments |
| 3D handout | #1-9 | 3.f, 4.b | Friday_Jan_25 | A useful algebraic step in 8.a and 8.b is to complete the square |
| Plane Handout | #1-7 | 8 | Monday_Jan_28 | 9 and 10 are just a bit more challenging -- try them |
| 11.5 | #7,9,11,12,15,23,27,33,37,43 | 38 | Tuesday_Jan_29 | Include a careful sketch for #38. |
| 12.6 | #1-12,13,17,21,23,27,29,31,32 | 28 | Friday_Feb_1 | For 28 (to be submitted) include sketches of cross-sections and at least an attempt at sketching the entire surface. |
| 14.1 | #3,7,15,17,19,20,23,25,39 | 36 | Monday_Feb_4 | ~ |
| 14.2 | #3,7,9,11,13,17,19,23,31 | 32 | none | ~ |
| 14.3 | #1,3,7,9,11,15,19,21,27,39,43,53,57,59,63,65 | 76 | none | ~ |
| 14.6 | #1,3,7,13,25 | 18(a) | none | ~ |
| 12.1 | #1,,9,13,17,23,27,31,35,39,46,59 | none | none | ~ |
| 12.2 | #3,7,11,17,23,43 | 64 | Friday_Feb_15 | ~ |
| 12.3 | #1-17 odd, 21,31,37,41,65,67,74 | 80 | Monday_Feb_18 | For 80, it will be very useful to know \(\vec{RO}\cdot\vec{RO}\) |
| Plane handout 2 | #1-5 | 4 | Tuesday_Feb_19 | ~ |
| 13.1 | #1,3,5,7,9,13,17,21,25 | 33 | Thursday_Feb_21 | Explain your solution |
| 13.2 | #1-12,15,21,25,27,33 | 28 | Thursday_Feb_21 | ~ |
| 13.3 | #1,3,5,11,16,23 | 28 | Friday_Feb_22 | ~ |
| Gradient Vector Field Handout | #1,2 | none | none | ~ |
| 14.5 | #3,7,13,17,23,29,33,37,39,43,51,57 | 40 | Thursday_Feb_28 | #57 is a very good review of recent concepts |
| 14.4 | #3,7,9,11,13,19,21,31,35,37 | 32 | Friday_Feb_29 | ~ |
| Differentials Handout | #1-6 | 7 | Monday_Mar_4 | ~ |
| 14.7 | #1,3,5,11,17,28,31,33,35,41,45 | 40 | none | This material will be included on Exam #2 |
| Applied Optimization | #1-6 | 4 | Thursday_Mar_14 | Carefully write up your solution on a separate sheet of paper. |
| 14.8 | #9,13,17,25,33,43 | 38 | Friday_Mar_15 | ~ |
| Applied Optimization (again) | #2,4 | none | none | You should do these problems using Lagrange multipliers and compare the solutions with your previous results. |
| Nonuniform Density | #1-5 | 4 | Tuesday_Mar_26 | ~ |
| 15.1 | #9,23,27,35,45 | none | none | ~ |
| 15.2 | #11,17,27,29,35,43,47,59 | 32 | Thursday_Mar_28 | ~ |
| Area Density Problems | #1,2,3,5 | 4 | Thursday_Mar_28 | ~ |
| 15.3 | #3,5,11,13,15,25,28,35 | 20 | Tuesday_Apr_2 | ~ |
| 11.3 | #1-10,15,21,23,24,31,32 | none | none | ~ |
| 12.7 | #13,14,21,24,25,32,37,49,50,59,63,68,72,74 | none | none | ~ |
| Cylindrical/Spherical Multiple Integral Handout. Pick up a physical copy of this handout in class. | #13,17,19,25,29,32,37,39,41,55 | none | none | #32: Be sure you understand why ≤ φ ≤ π/4 in part b. |
| Volume Density Problems | #1-4 | 5 | Thu_Apr_18 | ~ |
| Integration over a curve Handout | #1-8 | 9 | Fri_Apr_19 | ~ |
| Integration over a surface Handout | #1-5 | 4 | Tue_Apri_23 | ~ |
| Vector Curve Integrals | #1-4 | none | none | There is a solution to #4 in the handout. |
| 16.2 | #23,27,37,41,51,53,59, | 27 | Fri Apr 26 | ~ |
| 16.3 | # 1,5,7,11,13,17,19,20,27 | 16 | Tue April 30 | ~ |
| Vector Surface Integrals | #1-7 | 7 | Fri May 3 | ~ |