Topics, reading and homework assignments are given below. Beyond a week or two out the schedule is tentative (or non-existent). Hence I will update this page very often. It is your responsibility to check it frequently to see what's going on in class. In particular, you will find all new homework assignments here, and soon after you turn in an assignment, I will post solutions for you to look at.
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Dates |
Topics |
Reading |
Homework |
Miscellaney |
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1/13-1/15 |
Implicit and inverse function theorems |
Shifrin 4.5 and chapter 6 Alt Jones chapters 5 and 6 |
As I did last semester, I plan to maintain an ongoing set of notes where I list relevant definitions, theorems, etc. I'm not wild about Shifrin's chapter 6. |
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1/18-1/22 |
Determinants |
Shifrin 7.3 Alt, LADW 3.1-3.3, 3.5 and/or Jones 3F |
No class Mon 1/18 (MLK day) |
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1/25-1/29 |
Integration on rectangles |
Shifrin 7.1 (Alt Jones 9A-E) |
Thanks to Luke Wojtalik for pointing out a relevant online book about measure theory by Terry Tao. Section 1.1 is a nice discussion about volume (measure) and integration in line with my approach in class. |
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2/1-2/5 |
Fubini's Theorem Integration over more general regions |
Shifrin 7.2 (Alt Jones 9F-H) Shifrin 7.1 (Alt Jones 9I, 10B-D) |
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2/8-2/12 |
Change of variables |
Shifrin 7.6 (Alt Jones 10F-I) |
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2/15-2/19 |
Polar, spherical and cylindrical coordinates |
Shifrin 7.3 |
Review sheet for 1st midterm |
I am moving my Wed office hours to (tentatively) Friday 3:30-5:30, partly to make room for an event in the Math Autobiographical Lecture Series: Sonja Mapes will speak at 5 PM Wed in HH 117. Note that the due date for hwk 5 is pushed back to Mon 2/22. Get a math club T-shirt here. |
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2/22-2/26 |
Arc-length integrals. 1-forms and line integrals |
Jones 11A Jones 12B; Shifrin 8.3 |
1st midterm 2/25 during Thursday tutorial immediately after the midterm: Math For Everyone talk by Andrei Jorza (one of our own) at 5 PM in Jordan 101: Prime Numbers and Statistics |
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2/29-3/4 |
FTC for curves Closed and exact 1-forms |
Shifrin 8.3; Jones 12A, C-F |
Math major info night, Wed 5-6 in HH 229. Pizza and drinks served. If you think that you might come please RSVP here. |
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3/14-3/18 |
Green's Theorem Cross-product |
Shifrin 8.3; Jones 12C-F Shifrin 1.5 (alt Jones, chapter 7) |
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3/21-3/24 |
Parametrized surfaces and Surface area FTC for surfaces, classical statements. |
Jones 13, 14 |
Review sheet for 2nd midterm |
Instead of my regular Wed help session, I will hold a grad school/SUMR discussion at 5 PM on Wed 3/23 in Hayes-Healy 229. Note that this is not where I hold the help sessions. Here is a mathematica notebook that shows off various parametrized surfaces. Here is another notebook that shows a variety of different ways to parametrize the unit sphere in R^3. |
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3/30-4/1 |
Alternating k-linear forms |
Shifrin 8.2.1 |
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4/4-4/8 |
Differential k-forms |
Shifrin 8.2.2
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Pizza Party Mentoring Night" on April 4 from 5:30-6:30 pm in Hayes-Healy 257-258. RSVP : here Autobiographical math lecture Wed 4/6 at 5:30: featuring Kevin Grady `12, currently a graduate student in meteorology at Purdue Universit. 2nd midterm 4/7 during tutorial immediately after the midterm (I did not plan this...): Math For Everyone talk by Greg Warrington (The University of Vermont) at 5 PM in Jordan 101: Juggling Probabilities No class Friday 4/8! |
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4/11-4/15 |
Integration of differential forms on parametrized submanifolds (esp. surfaces) and Stokes Theorem |
Shifrin 8.4, 8.5, 8.6
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4/18-4/22 |
(cont) |
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4/25-4/27 |
Kepler's Laws for planetary motion |
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Review sheet for the final exam. |
End of Year Celebration for math students: April 27 from 4pm -5pm around the Globe in Hayes-Healy. Food, awards, recognition, and good company. COS-JAM Friday April 29; here's a more detailed schedule. Final exam is Monday 5/2 from 4:15-6:15 in 116 Pasquerilla |