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 equivalent
Textbook: 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