Math 53: Multivariable Calculus (Fall 2020)

This is a page for my two sections (212 and 213) of Math 53 (with James Sethian). I will basically only use this page to store materials from section.

Contents of this page

Links
Homework and Quizzes
Materials

Links

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Here are some useful links for this course:

Prof. Sethian's page for this course

bCourses

Gradescope for my sections specifically. Since the individual GSIs get to choose how they structure their quizzes and grade the HW, I figured it would make more sense to have a separate Gradescope course for section. The course entry code for this Gradescope is in this announcement.

Homework and Quizzes

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Homework and quizzes will be submitted to / taken on the Gradescope linked above (the one for DIS 212, 213 specifically, not the course-wide one). Homework will be graded entirely on "reasonable completion": if you do at least half of the assigned exercises for each textbook section, then you get full credit. (This has changed from the original arrangement.) Homeworks are due on Gradescope at the end of Monday Pacific time (or if we don't have discussion on that Monday, whatever day of the week corresponds to the first discussion of that week).
Quizzes will take place on most Fridays (excepting exam weeks); the first will be on Sept. 4. They will be available from Friday 4PM PDT to Sunday 11:59PM PDT (This has been extended from the original arrangement), and you will be given 30 minutes (plus any applicable extended-time accomodations) to complete them once you start them. Their scope is material up to the Tuesday of that same week. They will be at the difficulty level of the easiest homework exercises, and are intended just to check basic understanding. I am very aware that it is easy to cheat on such "asynchronous" quizzes. But considering the design and intent of these quizzes, if you feel the need to cheat on them, you are in *serious* trouble for the actual exams.
Of the 10% "section grade," homework will be 7% and quizzes will be 3% (this uneven split is because homework takes much more effort and the quizzes are very lax). I'll drop your lowest homework score and your lowest quiz score.

Materials

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Week 1

		Corresponding Content and Comments	Notes	Worksheet
#1	8/28	Parametric curves, tangents, and areas. We spent some time on logistics and going through an example, so we didn't have time for group work. As such the worksheet will be recycled for next time (perhaps with slight changes).	212 and 213	to be reused on Monday

Week 2

		Corresponding Content and Comments	Notes	Worksheet
#2	8/31	More of the same	212 and 213	unsolved and solved
#3	9/2	Polar	212 and 213	unsolved and solved
#4	9/4	Lines and planes and other manipulations with vectors in 3d	212 and 213	unsolved and solved

Quiz 1 statistics.

Week 3

		Corresponding Content and Comments	Notes	Worksheet
#5	9/9	Space curves and level sets	212 and 213	unsolved and solved
#6	9/11	Partial derivatives	212 and 213	unsolved and solved

Quiz 2 statistics.

Week 4

		Corresponding Content and Comments	Notes	Worksheet
#7	9/14	More of the same	212 and 213	unsolved and solved
#8	9/16	Chain rule	212 and 213	unsolved and solved
#9	9/18	Directional derivatives and the gradient	212 and 213	unsolved and solved

Quiz 3 statistics.

Week 5

		Corresponding Content and Comments	Notes	Worksheet
#10	9/21	More of the same	212 and 213	unsolved and solved
#11	9/23	Local optimization	212 and 213	unsolved and solved
#12	9/25	Review: tangent planes, lines and planes. The 213 notes are marginally clearer, I think.	212 and 213	N/A

Quiz 4 statistics.

Week 6

		Corresponding Content and Comments	Notes
#13	9/28	More review	213 (this one is clearer than the 212 notes so I've uploaded this one only)
#14	9/30	More review. You can email me any last minute questions you have before the exam and I'll try to respond ASAP.	212 and 213
	10/2	Office hours in place of section (I'll be there to answer questions e.g. about 14.8 but I won't have any program prepared).

Week 7

		Corresponding Content and Comments	Notes
#15	10/5	Some conceptual stuff regarding Lagrange	212 and 213
#16	10/7	§15.1	212 and 213
#17	10/9	§15.2	212 and 213

Quiz 5 statistics.

Week 8

		Corresponding Content and Comments	Notes
#18	10/12	Review of Quiz 5, and more of §15.2. I uploaded the 213 notes only because they're a bit cleaner.	213
#19	10/14	§15.2-3.	213
#20	10/16	§15.3-4.	213

Week 9

		Corresponding Content and Comments	Notes
#21	10/19		212 and 213
#22	10/21	Final answer to second question is (10 sqrt(5) - 20)pi/3.	212 and 213
#23	10/23		212 and 213

Week 10

		Corresponding Content and Comments	Notes	Worksheet
#24	10/26	15.7-9	212 and 213	Questions
#25	10/28	Line integrals	212 and 213
#26	10/30	Conservative vector fields and FTLI	212 and 213	Questions

Week 11

		Corresponding Content and Comments	Notes	Worksheet
#27	11/2	Mostly review of Quiz 8	212 and 213
#28	11/4	Green's Theorem: a very extensive example	212 and 213
#29	11/6	Conceptual review	212 and 213	Questions

Week 12

		Corresponding Content and Comments	Notes
#30	11/9	Some review	212 and 213
	11/11	No section
#31	11/13	The summary "table" again, and 15.5 and 15.9 as special cases of 16.6	212 and 213

Week 13

		Corresponding Content and Comments	Notes	Worksheet
#32	11/16	A bit on surfaces, and then review of vector calculus operations	212 and 213	Questions
#33	11/18	Flux, oriented surfaces	212 and 213	Questions
#34	11/20	Stokes. The answers to the two questions can be found at the end of the pdf for 213.	212 and 213

Week 14

		Corresponding Content and Comments	Notes
#35	11/23	Quiz review	212 and 213
	11/25	Thanksgiving break
	11/27	Thanksgiving break

Week 15

		Corresponding Content and Comments	Notes	Worksheet
#36	11/30	Some problems from the homework due tonight, and another problem at the end that we will discuss next time.	212 and 213
#37	12/2	A thorough discussion of the problem from last time	212 and 213
#38	12/4	Some review of earlier topics	212 and 213	Questions

Week 16 (RRR)

		Corresponding Content and Comments	Notes	Worksheet
	12/7
	12/9
	12/11