Intro to Real Analysis Spring, '10

"They that can give up essential liberty to obtain a little temporary safety
deserve neither liberty nor safety"   — Benjamin Franklin. (1706-1790)

Homework List

◊ Jump down to This Week ✈

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Week 1

• Monday, Jan 11 - First day of class
  §1.1, No 1, 3c, 5, 6, 8, 9.
  §1.2, No 2a, 3bc, 4ab, 6c, 7, 8, 9a, 18, 19, 21.
  
  
• Wednesday, Jan 13
  ◊ Newton's computation of fluxions
  
  
• Friday, Jan 15
  ◊ Induction proofs
  
  

Week 2

• Monday, Jan 18 — No classes today
  ¤ Dr Martin Luther King, Jr., day
  
  
• Wednesday, Jan 20
  ◊ Functions
  &1.3; pg 29. No 2o, 6c,d
  
  
• Friday, Jan 22
  ◊ Countability
  &1.6; pg. 42. No 1, 5 (Hint: n<n+1), 8c, 9
  
  

Week 3

• Monday, Jan 25
  ◊ Cantor set handout
  §1.7; pg 47. No 2b, 3bc.
  
  
• Wednesday, Jan 27
  Rebuilding homework list database
  
  
• Friday, Jan 30
  ✈ Go to the colloquium at 2:00 pm in WA 103A. Write a critique.
  Rebuilding homework list database
  
  

Week 4

• Monday, Feb 1
  §2.1, No 1acdg, 3, LA 7, 11, 18    (LA = «look at»)
  
  
• Wednesday, Feb 3
  ◊ Field trip today! Come to WA 209
  ¤ Intro to LaTeX
  
  
• Friday, Feb 5
  ☣ Classes cancelled ☹ because of the weather! ☃
  
  

Week 5

• Monday, Feb 8
  §2.1, No 2acg, 5, 7, 19, LA 9, 10
  ✈ Go to the colloquium at 3:00 pm in WA 304. Write a critique.
  
  
• Wednesday, Feb 10
  ☣ Classes (10:00 am or later) cancelled ☹ because of the weather! ☃ Again!
  ◊ Solutions to the LaTeX exercises.
  
  
• Friday, Feb 12
  ◊ Carefully write up the three proofs from Thm 2.2.1 worksheet
  Since Wednesday's classes were cancelled because of the weather, the quiz moved to Monday (2/15).
  
  

Week 6

• Monday, Feb 15
  ◊ Quiz today!
  
  
• Wednesday, Feb 17 &mdash "Elm Farm Ollie Day Eve"
  ☣ Classes   before 10:00 am   are cancelled ☹ because of the weather! ☃   We still have class — so far. No, we don't...
  
  
• Friday, Feb 19
  ◊ Create examples for the items on Sequences and Rate of Convergence (pdf)
  
  

Week 7

• Monday, Feb 22
  ◊ Complete the worksheet Montone Sequences
  
  
• Wednesday, Feb 24
  §2.5, No 1, 3bc, 5
  
  
• Friday, Feb 26
  ¤ Review Sheet for the test
  
  

Week 8

• Monday, Mar 1
  ¤ Test today!     The test covers §1.1 through §2.4.
  
  
• Wednesday, Mar 3
  §2.5, No 7aeh, 14, 16 (Hint: spoiler), LA 8 (Hint: log), 18
  
  
• Friday, Mar 5
  ◊ Quiz today! It's a take home quiz.
  ¤ The Audio Extra Credit clip. (The ‘speaker’ in question begins at about 20 seconds in with the phrase “What's he that wishes so?”.)
  ◊ Proofs for your portfolio
  
  

Week 9 — Spring Break!

• Monday, Mar 8 — Friday, Mar 12
  ◊ No classes.
  
  

Week 9

• Monday, Mar 15
  § 2.6, No 1, 2, 3 (Look back at 2.5 #8), 5
  
  
• Wednesday, Mar 17
  
  
• Friday, Mar 19
  ◊ Work on the "e" project
  
  

Week 10

• Monday, Mar 22
  ◊ Work on the "e" project
  
  
• Wednesday, Mar 24
  §3.1, No 1, 3, 5, 6
  
  
• Friday, Mar 26
  Read §3.2 carefully
  ◊ Think about Limit definitions
  §3.2, No 1, 3, 5
  
  

✈ This Week.

Week 11

• Monday, Mar 29
  §3.3, No 1, 3, 5
  
  
• Wednesday, Mar 31
  
  
• Friday, Apr 2
  
  

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“Don't just read it; fight it! Ask your own questions, look for your own examples, discover your own proofs. Is the hypothesis necessary? Is the converse true? What happens in the classical special case? What about the degenerate cases? Where does the proof use the hypotheses?”

— Paul Halmos

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Last modified: Wednesday, 01-Feb-2023 08:32:12 EST