homework

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term calendar

• Wednesday 16 December. Make-up exams, 3-4 in LIT 201.
• Office hours finals week. M 1:30-3:00; W noon-1:30.
• Grading scale for the course:
  360 A
  348 A-
  336 B+
  320 B
  308 B-
  296 C+
  256 C
  228 D
  \( < \) 227 E
• Wednesday 9 December. Last class. Course grades, discussed make up exams.
• Monday 7 December. Exam III will cover Sections 6.2 through 6.4 and Sections 7 and 8.
• Friday 4 December. Reviewed for Exam III. There were many good questions.
• Wednesday 2 December. Homework redos were due. No further redos will be accepted after this date. Questions and Problems 8.18, 8.19 and 8.20.
• Monday 30 November. Subsection 8.6.1 and Exercises 8.2, 8.3, 8.5 and Problems 8.12, 8.15 and 8.16.
• Notes last updated 29 November at 8:55 am. Fixed a typo in Proposition 8.32. Made a few other small improvements.
• Monday 23 November. Homework 13 was due. Finish Section 8.4 and covered Sections 8.5 and 8.6.
• Friday 20 November. Covered Section 8.3 and began Section 8.4.
• Notes updated 20 November at 12:30. Upgraded the exposition in Section 7, including a new (stronger) statement of Proposition 7.4. Added a bit more detail in Sections 8.1, 8.2 and 8.3
• Wednesday 18 November. Section 8.2.
• Monday 16 November. Homework 12 is was due. More of Section 8 from Example 8.2 (vi) through Proposition 8.5.
• Friday 13 November. Homework 11 was due. Finished Section 7 and began Section 8 covering up through Example 8.2 (v).
• Monday 9 November. More of Section 7 up through the statement of Corollary 7.5, including a discussion of Exercises 7.1, 7.2 and 7.3.
• Notes updated Thursday 5 November at 6:25pm. Fixed typos in Problems 3.5 and 6.9. Fixed other small typos and made small improvements in Sections 5, 6 and 7.
• Wednesday 4 November. Finished Section 6 and began Section 7 up through Remark 7.2 and an initial discussion of Problem 7.1.
• Monday 2 November. Section 6.3 up through the Lebesgue number lemma.
• Friday 30 October. Exam II covered Sections 4, 5 and 6.1.
• Wednesday 28 October. Reviewed for Exam II. There were many good questions.
• Notes updated Monday 26 October at 3:15pm. Improvements in Sections 6.1, 6.2 and 6.3.
• Monday 26 October. Covered Theorem 6.6 through the end of Section 6.2.
• Friday 23 October. Review of Examples 6.3 and 6.4. Workedpart of Problem 6.2. Discussed Problem 6.3. Covered Theorem 6.6 and Proposition 6.10.
• Notes updated Friday 23 October at 8:45 am. Fixed typos in worked example 5.1 and upgraded the proof of Theorem 6.5.
• Wednesday 21 October. Homework 10 was due. Finished Section 5 and began Section 6, covering up through Example 6.4.
• Budapest Semester in Mathematics and in Mathematics Education.
• Notes updated Monday 19 October at 12:50 pm. Removed a redundant comment following the proof of Proposition 5.12 and revised Example 5.6 (dropping the requirement that the rationals be viewed as a subspace of the reals).
• Monday 19 October. Homework 9 was due. Homework 8 redos were due. Began Section 5, covering up through Definition 5.11.
• Notes updated Friday October 16 at 10 am. Fixed the typo in the definition of \( \limsup a_n =-\infty \); upgraded Remark 4.29 to a Proposition and added Problem 4.18; rearranged the proof of Proposition 4.31; added Exercise 4.12; added a criteria for a a point to be a limit point of a set to Problem 4.5; revised the proof of Proposition 5.7 to explicitly use the result of Proposition 4.29.
• Friday 16 October. Homework 7 redos were do. Finished Section 4.
• Wednesday 14 October. Homework 8 was due. Continued in Section 4, from Lemma 4.26 through Example 4.30 (minus Remark/Proposition 4.29).
• Monday 12 October. Finished Proposition 4.20 (iii) and continued in Section 4 up through Proposition 4.25.
• Friday 9 October. Homework 7 was due. More of Section 4, from Proposition 4.16 through Proposition 4.20 (iii).
• Wednesday 7 October. Homework 6 was due. More of Section 4, from Theorem 4.12 through an initial discussion of Proposition 4.16.
• Notes updated Wednesday 7 October at 3:20 pm. Upgraded Proposition 4.8 and other small improvements.
• Monday 5 October. More of Section 4 starting, from Proposition 4.8 through the statement of Theorem 4.12.
• Friday 2 October. Examples 4.4 and 4.5 and Proposition 4.6.
• Wednesday 30 September. Begin Section 4 up through Proposition 4.3.
• Notes updated Wednesday 30 September at 7:00 am. Fixed typos in Sections 4.1 and 4.2; revised slightly Problem 3.6.
• Monday 28 September. Exam 1. The exam will cover sections 1, 2 and 3.
• Friday 25 September. Reviewed for Exam 1. There were many good questions.
• Fall 2014 Exam 1.
• Wednesday 23 September. Finished Section 3.
• Monday 21 September. From Proposition 3.32 to Proposition 3.38.
• Friday 18 September. Homework 5 was due. Finished subsection 3.3.2 and begin section 3.4.
• Notes updated Friday 18 September at 7:40 am. Fixed typos in the statement of Proposition 3.23; upgraded the proof of Proposition 3.35; revised slightly Problem 3.6.
• Wednesday 16 September. Finished subsection 3.3.1 and bega subsection 3.3.2 up through the statement of Proposition 3.28.
• Monday 14 September. More of Section 3. A discussion of Problems 3 and 4,Proposition 3.17 through Example 3.21, and then the statement of Proposition 3.24.
• Friday 11 September. Homework 4 was due. Continue in Section 3, from Proposition 3.11 through Example 3.16.
• Wednesday 9 September. Homework 3 and Homework 2 were due. Continued in Section 3 from Example 3.2 (v) through Proposition 3.10.
• Friday 4 September. Homework 1 redos were due. Finished Section 2. Begin Section 3 with Definition 3.1.
• Notes updated Thursday 3 September at 10:35 am. Fixed a few typos and made a few upgrades.
• Wednesday 2 September. Homework 2 was due. More of Section 2, Theorem 2.10, Exercises 2.1 and 2.2, the lub s of the set S from Example 2.7(v) satisfies \( s^2 =2 \), Proposition 2.13 and Remark 2.14.
• Monday 31 August. Homework 1 was due. Finished Section 1.3 and began Section 2 up through Remark 2.9.
• Friday 28 August. Covered Section 1.3 up through Remark 1.25.
• Notes updated Wednesday 28 August at 3:40 pm. Upgraded the statement and fixed typos in the proof Proposition 1.23.
• Wednesday 26 August. Covered Definition 1.11 through Remark 1.18.
• Monday 24 August. Covered up through Example 1.10.
• Notes updated Wednesday 28 August at 10:10 am. Small upgrades and typos fixed in sections one and two.
• Notes updated Wednesday 26 August at 10:10 am. Added detail to worked example 1.2, moved the table of contents to the end, fixed several small typos.
• Course notes for the year long sequence are linked to the right. While no major changes are anticipated, it is recommended that you print only a few pages (ahead) at a time as there may be small updates during the year.
• There is no text required for the course. If you are looking for a text to use as a reference, see the suggestions in the syllabus.