MAT 5620 — §101, Spring '17 (171)

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

• Wednesday, Jan 18
  ¤ Class Meeting Schedule
  ¤ Apostol, §8.1-14
  ¤ Vector Space slide
  §8.3, pg 245. #1abc, 2acgjln, 3ad, 4a, 5. (See the Class Notes area for copies of the problems.)
  
  

Week 2

• Wednesday, Jan 25
  §8.5, pg 251. #1, 2, 6, 9. (See the Old Class Notes area for copies of the problems.)
  
  

Week 3

• Wednesday, Feb 1
  ◊ Our first synchronous session via Zoom.
  §8.9, pg 255. #1, 2, 3, 7, 9, 14; Look at 22.
  ¤ To turn in Feb 8: §8.9, pg 255. #5, 11, 20.
  
  

Week 4

• Wednesday, Feb 8
  §8.14, pg 262. #1ace, 2, 3, 4, 6, 7.
  ¤ See the "Properties of the Gradient" sheet.
  
  

Week 5

• Wednesday, Feb 15
  ◊ Our first asynchronous session.
  
  1. Read the Khan Academy's "Tangent planes"
  2. Watch MIT OpenCourseware "Tangent Planes"
  3. Watch Khan Academy's "Partial derivatives of vector fields"
  4. Read "Derivatives of vector fields"
  5. Read Apostol §8.18 → §8.21.
  6. Problems §8.22, pg 275. #1, 2, 3, 14.
  7. Look at the «Tree Diagrams» for the chain rule in "Partial Derivatives", in Krista King's video, and Tree Diagrams
  ¤ Reference:
  • Look at Apostol §8.23
  • Multivariable Calculus videos
  • Wikipedia's Vector calculus identities

Week 6

• Wednesday, Feb 22
  §10.5, pg 328. #1, 2, 5, 9.
  ¤ Outline Notes
  
  

Week 7

• Wednesday, Mar 1
  §10.13, pg 336. #1, 2.
  §10.18, pg 345. #1, 2, 3.
  ¤ Scan of today's class notes
  
  

Week 8

• Wednesday, Mar 8
  ¡Tonight has changed from Face-to-face to Asynchronous because of the NCMATYC conference!
  
  1. Read §10.19 "Exact equations"
  2. Watch: Exact Equations Intuition
  3. Watch: Exact Equations Example 1
  4. Read Integrating Factors
  5. §10.20, pg 349. #1, 3, 6, 9.
  6. If you're interested in physics, read §10.21.
  
  

Spring Break Week — Mar 13→ Mar 17


Week 9

• Wednesday, Mar 22
  ¤ Multiple Integral Slides
  
  1. Read §11.1, pg353.
  2. Read §11.4 → 8, pg357.
  3. §11.9, pg362. #1, 3, 7.
  4. Read §11.10 → 14, pg363.
  5. §11.15, pg371. #1, 3, 5.
  6. Read §11.19, pg378.
  7. §11.22, pg385. #1, 3.
  
  

Week 10

• Wednesday, Mar 29
  ◊ Read §11.32, 33
  §11.34, pg 413. #1.
  ◊ Watch:
  • Green's Theorem
  • Stoke's Theorem
  • Green's & Stoke's Theorem Relationship
  • Divergence Theorem
  • Divergence Theorem Example
  (List of Khan Academy material for these three theorems.)
  ◊ Read §12.11, 12
  

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  ¡The Midterm is here! (now)
  
  

Week 11

• Wednesday, Apr 5
  ¡ Today is a "work-day" for the test! — No formal class meeting.
  
  

Week 12

• Wednesday, Apr 12
  ◊ Slides from Lebesgue Measure Session 1
  ◊ Read §3.1, pg 125-134. (Intro to Real Analysis, WmCB)
  Pg 166, 3.1, 3.2, 3.3, 3.7, 3.9, 3.13.
  
  ¡On your group project during the final exam time slot to present, to be working, don't forget! Hmmmm!
  
  

Week 13    ♞  (This Week)

• Wednesday, Apr 19
  ◊ Our last asynchronous session.
  
  1. Carefully read §3.1, pg 134-145. (Intro to Real Analysis, WmCB)
  2. Slides from Lebesgue Measure Session 2
  3. Read/Watch:
     1. Lebesgue measure is countably additive.
     2. Nested Sequences of Measurable Sets
     3. The Cantor Set
     4. Simple function
     5. The Banach-Tarski Paradox (video)
  Pg 166, 3.15, 3.16, 3.3.18, 3.19.
  
  

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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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