Multivariable Calculus, Fall 2018
Prof. Jo Nelson
Math 212
Email:
jo [dot] nelson [at] rice [dot] edu
Lectures: MWF 10-10.50am
Location: 1070 Duncan
Office Hours: MW 11-12pm 450 HBH, by appointment
Syllabus
Piazza
Homework
Homework will count for 19% of your final grade. There will be written homeworks, which you must scan and upload to Gradescope on Fridays by 5pm. Clearly print your first and last name on your written assignment. The homework is not pledged and you are encouraged to work together with your classmates on the assignments. However, you must write up your solutions individually.You are not allowed to look up solutions in any written form; in particular, you are not allowed to look up solutions online. Students caught violating this rule will be reported to the Honor Council. You should write up your solutions individually. Do not use calculators or outside software unless otherwise specified.
Late homework will not be accepted, barring hospitalization or a documented major emergency. Your lowest homework score will be dropped.
Syllabus Awareness will count for 1% of your grade. To earn Syllabus Awareness credit, please email me the with subject `Syllabus Awareness' and include the dates of the exams, and the location and times that homework is due.
Exams
There will be two midterms, scheduled from 7-9pm on Thursday September 27 and November 8. Each midterm will count for 20-25% of your final grade. The final exam will count for 30-35% of your final grade, and will be on Friday December 7 from 7-10pm in Room TBA. Per departmental policy, no final exam may be given early to accommodate student travel plans. No calculators will be permitted for use on the exams. All exams are pledged.It is your responsibility to inform me in writing as soon as possible and no later than one month before each exam if you have a conflict with an exam. In the event of illness or family emergency I must be notified ideally at least 24 hours in advance and documentation from the dean/magister must be provided to me.
Help
If you find yourself confused, please seek help sooner rather than later. I will be available to answer questions during my office hours or online through Piazza. I will hold additional office hours during each exam week. You can access previous Math 212 exams in Canvas. There will be evening recitation sessions TBA and review sessions ahead of the exams given by graduate student TAs.In order to receive disability-related academic accommodations, students must first be registered with the Disability Resource Center (DRC). Students who may need accomodations in this course should give me a written letter from the DRC within the first two weeks. More information on the DRC registration process is available online at https://drc.rice.edu/. Registered students must present an accommodation letter to the professor before exams or other accommodations can be provided. Students who have, or think they may have, a disability are invited to contact DRC for a confidential discussion.
Schedule & Assignments
Prerequisites: Math 102 or the equivalentTextbook: Calculus Volume 3, openstax.
Please note that the textbook is free and in its first edition. Occasional errors may be present, please bring these to my attention.
| Date | Section | Homework (Fridays 5pm) from Calculus Volume 3, openstax |
| 8/20 | 2.1-2.2: Vectors in 2D and 3D | |
| 8/22 | 2.3-2.4: The dot and cross product | |
| 8/24 | 2.5 Equations of lines and planes | 2.2: 78, 79, 81, 89, 98, 99, 101, 104, 107, 109, 110 2.3: 128, 147, 154, 171 2.4: 187, 191, 195, 212, 214 Due 8/31 (HW 1) |
| 8/27 | 2.6: Quadric surfaces OPTIONAL 1.5 (conic sections): 298-311 |
|
| 8/29 | 2.7 Cylindrical and spherical coordinates | |
| 8/31 | 3.1: Vector-Valued functions |
2.5: 243 (a, b), 256, 257, 258, 259, 262, 263, 273, 276,
277, 284, 290, 296, 297 2.6: 304, 307, 320, 330, 339, 341 2.7: 363, 365, 367, 370, 373, 376, 381, 383, 388, 394, 395, 400 Due 9/7 (HW 2) |
| 9/3 | No Class, Labor Day | |
| 9/5 | 3.2: Calculus of Vector functions (skipping 3.3) | |
| 9/7 | 3.4: Motion in space (no projectile motion, no Kepler's laws) | 3.1: 4, 7, 8, 10, 15, 16, 23, 26 3.2: 46, 47, 57, 59 (starts the problem at page 281!), 60, 61, 64, 66, 70, 71, 100, 101 3.4 : 158, 163, 183, 184 Due 9/14 (HW 3) |
| 9/10 | 4.1 Functions of several variables | |
| 9/12 | 4.2: Limits and continuity | |
| 9/14 | 4.3: Partial derivatives |
4.1: 6, 7, 11, 13, 14, 23, 27, 34, 40, 51 4.2:70, 75, 86, 87, 88, 89 4.3: 114-117, 120, 122, 124, 130, 134, 145, 148, 149 Due 9/21 (HW 4) |
| 9/17 | 4.4: Tangent planes and linear approximations | |
| 9/19 | 4.5: The chain rule | |
| 9/21 | 4.6: The gradient Gradients are on Midterm 1, but directional derivatives are not |
4.4: 164, 171, 176, 183, 186, 192, 208, 209 4.5: 215, 216, 227, 237, 245, 251, 257 4.6: 290-293, 302-305 Due 11pm 9/28 (HW 5) |
| 9/24 | 4.6: Directional derivatives | |
| 9/26 | Review | |
| 9/27 | MIDTERM 1 7-9pm |
|
| 9/28 | 4.7: Maxima and minima |
Break from Homework |
| 10/1 | 4.8: Lagrange Multipliers | |
| 10/3 | 5.1 Double Integrals | |
| 10/5 | 5.2 Double Integrals |
4.6:268, 281, 287, 294, 298, 272, 287, 295, 300,
4.7:318, 321, 322, 333, 346 4.8: 361,365, 371, 382, 389 UPDATED: Due 10/12 (HW 6) |
| 10/8 | Fall Break! | |
| 10/10 | 5.2 Changing order of integration | |
| 10/12 | 5.3: Double Integrals in Polar | FINALIZED 5.1: 11, 12, 15, 19, 23, 24, 27, 33, 36, 42 5.2:62, 65, 67, 69, 74, 75, 78, 86, 93, 97, 98, 102, 109 5.3: 122, 123, 125, 129, 131, 134, 138, 141, 145(there is a typo in this problem, please convert to polar, you'll get a different r range), 147, 150, 162 Due 10/19 (HW 7) |
| 10/15 | Summary of double integrals | |
| 10/17 | 5.4: Triple Integrals | |
| 10/19 | 5.5: Triple Integrals in Cylindrical Coordinates |
FINALIZED 5.4: 192, 193 (hint cos(-x)=cos(x) ), 195, 197, 202 (typo, should say: 0 ≤ y ≤ 1), 205 (typo, should say: 0 ≤ y ≤ 1/2), 211, 212, 219, 223, 225, 227, 229 5.5: 243, 244, 245, 249, 252, 255, 259, 262, 267, 268 (typo, order of integration should be dz dy dx NOT dz dx dy) Due 10/26 (HW 8) |
| 10/22 | 5.5: Triple Integrals in Spherical Coordinates | |
| 10/24 | 5.5: Triple Integrals in Spherical coordinates | |
| 10/26 | 5.7: Change of Variables | FINALIZED 5.5: 270, 271, (TYPO in 276-279 b: you should convert to spherical then evaluate) 276, 278, 281-285, 292 5.7: 359, 361, 365, 371, 378, 381, 382, 387, 389, 392, 393, 394, 395, 405 Due 11/2 (HW 9) |
| 10/29 | 6.1: Vector fields (last topic on midterm 2) | |
| 10/31 | Q & A day | |
| 11/2 | 6.2: Line Integrals | break from homework |
| 11/5 | 6.2: Line Integrals | |
| 11/7 | Review | |
| 11/8 | Midterm 2 7-9pm | |
| 11/9 | 6.3: Conservative Vector Fields | FINALIZED 6.1: 5, 6, 8 (5-8 don't have to be pretty), 15, 17, 19, 23, 26, 32-38 6.2: 55, 58, 62, 65, 67, 71, 74, 82, 92 6.3: 104, 105, 108, 111, 113, 120, 123, 129, 134, 136 (ignore the instructions about a computer) Due MONDAY 11/19 (HW 10) |
| 11/12 | 6.3: Conservative Vector Fields | |
| 11/14 | 16.4: Green's Theorem | |
| 11/16 | 16.5: Divergence and Curl | List of problems Due Tuesday 11/27 (HW 11) |
| 11/19 | 16.6: Surfaces | |
| 11/21 | 16.7: Surface Integrals | |
| 11/23 | Thanksgiving Break | List of problems Due Friday 11/30 11pm (HW 12) |
| 11/26 | 16.8: Stokes' Theorem | |
| 11/28 | 16.9:Divergence Theorem | |
| 11/30 | Summary of Vector Calculus |