MAT 5620 — §101, Fall '15 (154)

Let us reflect that, having banished from our land that religious intolerance under which mankind so long bled and suffered, we have yet gained little if we countenance a political intolerance as despotic, as wicked, and capable of as bitter and bloody persecutions.

— Thomas Jefferson (1743-1826) in his First Inaugural Address.

Homework List

✈ Jump down to '♞ This Week.'

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Week 1

• Monday, Aug 17 — First day of class
  §8.3, pg 245. #1abc, 2acgjln, 3ad, 4a, 5. (See the Class Notes area for copies of the problems.)
  
  
• Wednesday, Aug 19
  §8.5, pg 251. #1, 2, 6, 9. (See the Class Notes area for copies of the problems.)
  
  
• Friday, Aug 21
  §8.9, pg 255. #1, 2, 3.
  
  

Week 2

• Monday, Aug 24
  §8.9, pg 255. #5, 7, 9, 11, 14, 20.
  
  
• Wednesday, Aug 26
  §8.14, pg 262. #1ace, 2, 3.
  
  
• Friday, Aug 28
  §8.14, pg 262. #4, 6, 7.
  
  

Week 3

• Monday, Aug 31
  See the "Properties of the Gradient" sheet.
  
  
• Wednesday, Sept 2
  §8.17, pg 268. #1, 6.
  
  
• Friday, Sept 4
  §8.22, pg 275. #1.
  
  

Week 4

• Monday, Sept 7 — Labor Day; no classes
  
  
• Wednesday, Sept 9
  ◊ Kepler's Laws
  
  
• Friday, Sept 11
  §8.22, pg 275. #2.
  
  

Week 5

• Monday, Sept 14
  ¤ Set \(h=h\big(f(x,y),g(x,y)\big)\). We computed \(\dfrac{\partial h}{\partial x}\), \(\dfrac{\partial h}{\partial y}\), and \(\dfrac{\partial^2 h}{\partial x^2}\) in class. Finish the exercise by carefully computing a compact construction of
  1. \(\dfrac{\partial^2 h}{\partial y^2}\)
     
     
  2. \(\dfrac{\partial^2 h}{\partial x\, \partial y}\)
  
  
• Wednesday, Sept 16
  §10.5, pg 328. #1, 2, 5, 9.
  
  
• Friday, Sept 18
  §10.13, pg 336. #1, 2.
  
  

Week 6

• Monday, Sept 21
  §10.18, pg 345. #1, 3, 5.
  
  
• Wednesday, Sept 23
  §10.18, pg 345. #2, 4, 10.
  
  
• Friday, Sept 25
  §10.18, pg 345. Find the potential functions for #10, 11, 12. Look at #16, 17, 18.
  
  

Week 7

• Monday, Sept 28
  §10.20, pg 349. #1, 3, 5, 8 (using the thm from today's notes).
  ¤ Show that the ODE \(y^\prime=y/x\) has different integrating factors: a) \(x^{-2}\), b) \(y^{-2}\), c) \((xy)^{-1}\), d) \(1/(x^{2}+y^2)\).     [Note: These are all "degree 2."]
  
  
• Wednesday, Sept 30
  §11.9, pg 362. #1.
  
  
• Friday, Oct 2
  §11.9, pg 362. #2, 4, 14.
  
  

Week 8

• Monday, Oct 5
  §11.15, pg 371. #3.
  
  
• Wednesday, Oct 7
  
  
• Friday, Oct 9
  
  

Week 9

• Monday, Oct 12
  §11.22, pg 385. #1, Look at 4.
  
  
• Wednesday, Oct 14
  
  
• Friday, Oct 16 — Fall Break; no classes Thursday and Friday
  
  

Week 10

• Monday, Oct 19
  §12.4, pg 424. #1→4 obtain the Cartesian equation.
  
  
• Wednesday, Oct 21
  ¤ Problems
  
  
• Friday, Oct 23
  ◊ No formal class today — work on your solutions...
  
  

Week 11

• Monday, Oct 26
  
  
• Wednesday, Oct 28
  
  
This html file has been corrupted! — I have to rebuild the last few weeks; much of it has gone into the Great Bit-Bucket in the Sky!


• Friday, Oct 30
  ¤ Today, we switched to Chapter 3 “A Brief Intro to Lebesgue Theory” of Intro to Real Analysis, Bauldry.
  Ch 3, pg 166. #1, 2, 3.
  
  ◊ The following item is from the Calc 2 homework assignment:
  — Carefully construct concise criticism for the calculations contained in the video we considered today! (See a math transcript.)
  
  

Week 12

• Monday, Nov 3 — Did you reset your clocks Sunday morning? Daylight Saving Time is over until March 16, 2016.
  ◊ We'll postpone homework until Wednesday - the day of the comprehensive exam.
  
  
• Wednesday, Nov 5
  Whereas today is the momentous day of the analysis comprehensive, and
  Whereas there is much studying going on for the aforementioned examination, and
  Whereas we are in good shape w.r.t. the syllabus, and
  Whereas it is the Two Hundred and Seventy Second anniversary of the birth of the (somewhat) great probabilist Johann Bernoulli, III,
  Be It So Resolved that tomorrow is a "Work on Real Analysis Day." And we will not have a formal class.
  
  
• Friday, Nov 7
  Ch 3, pg 166. #4, 5, 6, 8.
  
  

Week 13

• Monday, Nov 9
  Ch 3, pg 166. #9, 10 (look at 11), 13.
  
  
• Wednesday, Nov 11
  Ch 3, pg 166. #15, 18.
  
  
• Friday, Nov 13 — Paraskevidekatriaphobia alert!
  Ch 3, pg 166. #16, 17.
  
  

Week 14

• Monday, Nov 16
  Ch 3, pg 166. #20, 21.
  
  
• Wednesday, Nov 18
  Ch 3, pg 166. #22.
  
  
• Friday, Nov 20
  Ch 3, pg 166. #23, 24, 25.
  
  

Week 15    ♞  (This Week)

• Monday, Nov 23
  ◊ Work through Vitali's construction of a nonmeasurable set.
  ¤ Read Vitali's paper «Sul problema della misura die gruppa di punti una retta» (On the problem of the measure of a set of points on the real line.)
  

Week 16

• Monday, Nov 30
  
  
• Wednesday, Dec 2
  
  

Final Exam Week

• Thursday, Dec 10
  🎯 9:00 M W F Classes: Final Exam from 3:00 PM-5:30 PM
  
  

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“On two occasions I have been asked, ‘Pray, Mr. Babbage, if you put into the machine wrong figures, will the right answers come out?’ I am not able rightly to apprehend the kind of confusion of ideas that could provoke such a question.”

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