MAA 4211

Fall 2014 Section 16G0

Current Announcements

  • Thursday 18 December 8:30-9:30. Make up exams.
    • Exam III. Section 6, 7 and 8 (minus Subsubsection 8.6.1).
    • Exam II. Sections 4 and 5.
    • Exam I. Sections 1, 2 and 3.
  • Office hours for the remainder of the term.
    • Friday 12 December, 10-11:30.
    • Monday 15 December, 12:30-2:00 (Professor Jury, LIT 484).
    • Tuesday 16 December, 1:00-2:00 (Professor Jury, LIT 484).
    • Wednesday 17 December, 9:30-11:00 (Professor Jury, LIT 484).
  • Wednesday 10 December. Last class. Course grades. Discuss make-up exams.
  • Grading scale for the course.
      360 A; 348 A-; 331 B+; 320 B; 308 B-; 292 C+; 240 C; 200 D.
  • Summer research for undergraduates at University of Nebraska.
  • I am scheduled to teach section 3009 in the Fall. Professor Jury is scheduled to teach section 17G4.
  • Notes last updated Wednesday 3 December at 8:00 am. Fixed a typo (changed S to K) in Exercise 7.4; added Exercise 8.7.
syllabus

homework

problems

course notes

term calendar

Old News

  • Monday 8 December. Exam III covered Section 6, 7 and 8 (minus Subsubsection 8.6.1).
  • Friday 5 December. Reviewed for Exam III.
  • Wednesday 3 December. Finished Section 8.6 and covered Section 8.5, thus finishing Section 8.
  • Monday 1 December. Problem 6.9 redo, Corollary 8.21, Example 8.23, and began Section 8.6 (skipping Section 8.5).
  • Monday 24 November. More of Section 8, starting with Proposition 8.15 and continuing through Corollary 8.20.
  • Friday 21 November. Homeworks 12 and 13 were due. Example 8.9 through Proposition 8.14.
  • Notes updated Saturday 22 November at 3:35 pm. Some typos fixed plus a few small improvements.
  • Wednesday 19 November. More of Section 8, from Corollary 8.4 through Proposition 8.8.
  • Monday 17 November. More of Section 8, starting with Example 8.2 and continuing through Proposition 8.3.
  • Friday 14 November. Discussed Homework 11 and Problem 7.1 Began Section 8 with Definition 8.1 and a couple of examples.
  • Wednesday 12 November. Homework 11 was due. Finished Section 7 starting with Proposition 7.3.
  • Notes updated Wednesday 12 November at 7:30 pm. Added Section 8, plus a few related improvements in earlier sections.
  • Monday 10 November. Homework 10 is was due. Finished Section 6, discussed Problems 6.10 and 6.11 and began Section 7.
  • Notes updated Sunday 9 November at 8 am. Added Section 7, made a few small imporovements in Section 6.
  • Friday 7 November. More of Section 6, starting with the proof of Proposition 6.16 and continuing through Proposition 6.62.
  • Wednesday 5 November. Finished Theorem 6.6 and continued in Section 6 up through the statement of Proposition 6.16.
  • Monday 3 November. Theorem 6.5 and half of Theorem 6.6.
  • Friday 31 October. Exam II covered Sections 4 and 5.
  • Wednesday 29 October. Reviewed for Exam II. There were many good questions.
  • Monday 27 October. Began Section 6 up through the statement and start of the proof of Theorem 6.5.
  • Friday 24 October. Finished Section 5, starting with Definition 5.11.
  • Notes updated Thursday 23 October. Corrected a small typo the second worked example in Section 4, a misplaced reference in the proof of Proposition 5.12, and added Section 6.
  • Wednesday 22 October. More of Section 5, starting with Proposition 5.7 through Proposition 5.10.
  • Monday 20 October. Homework 9 was due. Began Section 5, covering up through Example 5.6.
  • Notes last updated Wednesday 22 October at 8:30 am. Revised the statement of Problem 4.12 as a way of suggesting a solution in two parts.
  • Wednesday 15 October. Finished Section 4.6.
  • Notes last updated Tuesday 14 October at 5:30 pm. Upgraded Proposition 4.25 and Problem 4.16. Added Exercise 4.9. A few small fixes.
  • Monday 13 October. Covered Section 4.5 and began Section 4.6.
  • Friday 10 October. Homework 8 was due. More of Section 4, starting with Proposition 4.20 and continuing through the end of Section 4.4.
  • Wednesday 8 October. Homework 7 was due. More of Section 4, starting with Proposition 4.17 up through Proposition 4.19.
  • Monday 6 October. Homework 6 was due. More of Section 4, starting with Definition 4.10 and continuing through Definition 4.16.
  • Notes updated Saturday 4 October at 11 am. Added worked examples in Section 4. Added Section 5.
  • Friday 3 October. More of Section 4, starting with Proposition 4.6 and continuing through Proposition 4.9.
  • Wednesday 1 October. Began Section 4, covering up through Example 4.5.
  • The Putnam Competition is a national math contest for undergraduates with an illustrious history. If you are interested in participating, contact Professor Keating, keating at ufl dot edu.
  • Monday 29 September. Exam I covered Sections 1, 2 and 3 and the corresponding suggested problems and homework.
  • Friday 26 September. Reviewed for Exam I. There were many good questions.
  • Notes last updated Friday 26 September at 7:30 am. Added a worked example in Section 3. Other small fixes.
  • Sample Exam.
  • Wednesday 24 September. Finish Section 3.
  • Monday 22 September. Finished Section 3.4 and began Section 3.5.
  • Friday 19 September. Finished Section 3.3.2 and began Section 3.4.
  • Wednesday 17 September. Homework 5 was due. Section 3.3.1 and began 3.3.2.
  • Monday 15 September. Section 3.3 up to Section 3.3.1.
  • Notes last updated Saturday 13 September at 3:30 pm. Added a worked example in each of Sections 1, 2 and 3.
  • Friday 12 September. Homework 4 was due. Section 3.2.
  • Wednesday 10 September. Began Section 3, covering up through Proposition 3.3.
  • Monday 8 September. Homework 3 was due. Finished Section 2 and worked out Problem 2.3 and sketched Problem 2.4.
  • Friday 5 September. Homework 2 was due. More of Section 2, starting with a review of Definition 2.5 and continuing through Theorem 2.9.
  • Updated notes Thursday 4 September at 6:15 pm. Added Sections 3 and 4. In Example 2.7(v) moved the discussion of the least upper bound to after Theorem 2.8. In Proposition 2.12 added the rule for the function f (it was not given); and moved the discussion at the end of the proof into the Remark 2.13. Other small improvements and typos fixed.
  • Wednesday 3 September. Finished Section 1.3 and began Section 2 up through Definition 2.5.
  • Monday 1 September. Labor day. No class.
  • Saturday 30 August at noon. Notes updated. Upgraded the presentation from Proposition 1.22 to the end of Subsection 1.3. Reworded Problem 1.3 accordingly. Clarified the statement of Problem 1.1. Fixed typos in both Sections one and two.
  • Friday 29 August. Homework 1 was due. Finished Section 1.2 and began Section 1.3.
  • Wednesday 27 August. Continued in Section 1.2, starting with Definition 1.7(h) and continuing through Definition 1.15.
  • Monday 25 August. Section 1.1 and Section 1.2 up through the Definition 1.7(h).
  • The course will be taught from the notes linked to the right. There is no required text, but note that the book of Rosenlicht is less than 15 dollars and the book of Rudin is a classic that you might use in the future.
  • The notes (currently posted are the first two sections) will be updated periodically during the term to include further sections and also fix typos and improve the exposition based on student feedback. Thus you may wish to print just a few pages at a time.