homework

problems

course notes

term calendar

• Thursday 12 December. Make-up exams, 12:30-1:30.
• Finals week office hours. Friday 10:30-11:30; Tuesday 2-3; Thursday 11-12.
• Grading Scale.
  360-400 A
  346-359 A-
  332-345 B+
  320-331 B
  306-319 B-
  290-305 C+
  252-289 C
  240-251 D
• Wednesday 4 December. Course grades. Discuss make-up exams.
• Monday 2 December. Exam III. The exam covered from 6.2 through Section 8 (excluding subsubsection 8.6.1).
• Monday 25 November. Reviewed for Exam III. There were many good questions.
• Notes updated 25 November at 3:35 pm. Fixed several typos; revised sub(sub)section 6.
• Friday 22 November. Problems/review. There were many good questions.
• Wednesday 20 November. Sections 8.5 and 8.6
• Monday 18 November. Section 8.4.
• Notes updated 15 November at 12:30 pm. Added Section 9. Fixed several typos.
• Friday 15 November. Section 8.3.
• Wednesday 13 November. Homework 13 was due. More of Section 8, starting with Proposition 8.13 through the end of Section 8.2
• Friday and Monday 8 and 11 November – no class.
• Wednesday 6 November. Homework 12 was due. More of Section 8, starting with Proposition 8.6 and continuing through Proposition 8.11.
• Notes updated 5 November at 3:30 pm. Fixed a number of typos and other small improvements.
• Monday 4 November. Section 8 from Example(s) 8.2 up through Proposition 8.5.
• Friday 1 November. Homework 11 was due. Finished Section 7 and began Section 8.
• Wednesday 30 October. Section 7 up through Theorem 7.3 Homework 10 was due.
• Notes updated 28 October at 4:35 pm. Added Section 8.
• Monday 28 October. Finished Section 6, starting with Lemma 6.19.
• Friday 25 October. Finish Section 6.2 and covered up to Corollary 6.9 in Section 6.3.
• Consider participating in the Putnam Competition for UF.
• Notes updated 25 October at 4:35 pm. Added Section 7, plus some small improvements.
• Wednesday 23 October. Exam 2 covered 3.4-6.1.
• Monday 21 October. Reviewed for Exam 2. There were many good questions.
• Friday 18 Ocotober. Theorem 6.6 through Proposition 6.10.
• Notes updated 18 October at 8:10 am. Fixed several typos. Other small improvements.
• Wednesday 16 October. Theorem 6.5.
• Note the typos in Exercises 5.1 and Problem 5.2 which will be corrected in the next update of the notes. In 5.1 it should read a_n+1 = … . In 5.2 it should read 1+A² instead of 1+A.
• Monday 14 October. Homework 9 was due. Finished Section 5 and started Section 6, covering up through Example 6.4.
• Friday 11 October. Homework 8 was due. Finsished Section 4 and began Section 5 up through Proposition 5.9.
• Notes updated 9 October. Added Section six and fixed several typos.
• Wednesday 9 October. Homework 7 was due. More of Section 4, starting with item 4.21 and continuing through Example 4.28.
• Monday 7 October. Items 4.17 through 4.20.
• Notes updated 6 October. Added Section five and an outline for Problem 4.9.
• Friday 4 October. Homework 6 was. Propositions 4.9, 4.13 and 4.16
• Wednesday 2 October. Homework 5 was due. Continued in Section 4. Completed the proof of Proposition 4.7, covered items 4.10, 4.11, and 4.12. Covered subsubsection 4.3.1
• Notes updated 02 October to replace x by x² several places in the proof of Proposition 4.6(b).
• Monday 30 September. Continued in Section 4, starting with Proposition 4.6 and continuing through Proposition 4.8.
• Friday 27 September. Began Section 4, covering up through Example 4.5.
• Notes updated 29 September. Fixed several typos and made other small improvements.
• Wednesday 25 September. Exam I covered up through Section 3.3 in the notes.
• Monday 23 September. Reviewed for Exam I. There were many good questions.
• Notes updated 21 September. Fixed a typo in Definition 3.6. Added Section 4.
• Friday 20 September. Finished Section 3. Began Section 4 with the definition of convergent sequence.
• Wednesday 18 September. More of Section 3, starting with Example 3.20 and continuing through Proposition 3.28.
• A sampleexam1
• Monday 16 September. More of Section 3, starting with Proposition 3.12 and continuing through Definition 3.19.
• Friday 13 September. More of Section 3 starting with the proof that open balls are open sets and continuing through Example 3.11.
• Wednesday 11 September. Homework 4 was due. Began Section 3 up through the definition of open set and some examples of neighborhoods.
• Monday 9 September. Homework 3 was due. Section 2.5.
• Notes updates 9 September at 8:30 am. Fixed typos, including replacing union with intersection in the example at the bottom of page 1 and adding a needed minus sign in Problem 2.5. Added additional detail to Exercise 2.4 and reworked the discussion in Subsection 2.4.
• Friday 6 September. More of Section two starting with the Archimedian properties of Theorem 2.28 and continuing through the end of Section 2.4.
• Wednesday 4 September. Homework 2 and Homework 1 redos were due. More of Section 2 starting with Definition 2.9 and continuing through Theorem 2.27.
• Course notes updated 3 September at 2:50 pm. Fixed typos. Added Section 3 on metric spaces.
• Friday 30 August. Section 2 up through Example 2.8.
• Wednesday 28 August. Homework 1 was due. Finished Subsection 1.3.
• Monday 26 August. Finished Subsection 1.2 starting with Proposition 1.16. Begab Subsection 1.3, covering up through Proposition 1.22.
• Course notes updated 26 August at 9:20 am. Fixed an embarrassing number of small typos, like having 2 and 4 reversed in example 1.10 and garbled text at the end of the proof of Theorem 2.28. Revised item (v) of Example 2.23. The original version should have included a caveat about the existence of the least upper bound.
• Friday 23 August. Subsection 1.2 through Definition 1.15.
• Wednesday 21 August. Subsection 1.1 in the notes.