Meeting times: MWF 9.00 - 9.50, DUAN G2B21.
Main Text: Chapters 7, 8, 9, 11, and 12 of "Applied Analysis" by John K. Hunter and Bruno Nachtergaele.
Recommended supplementary text: "Introductory Real Analysis" by Kolmogorov and Fomin.
Office Hours: Monday 3.00pm-5:00pm, Friday 10.00am-10.50am, ECOT 233.
Syllabus: Here.
Webpages for past years: 2006, 2007, 2008. 2010.
Notes:
| Week: |
Homework: |
Material covered: (All dates are tentative!) |
| 1 (Jan 10) | Homework 1. Solutions. |
Sections 7.1, 7.2. An alternative definition of weak differentiation. Notes for the Monday lecture. |
| 2 (Jan 17) | Homework 2. Solutions. |
No class Monday (MLK day). Sections 7.2, 7.3, 8.1, 8.2. |
| 3 (Jan 24) | Homework 3. |
Sections 8.3 and 8.4. |
| 4 (Jan 31) | Homework 4. Solutions. | Sections 8.4, 8.6. |
|
5 (Feb 7)
|
Homework 5.
Hints. Solutions. 9-10. 9-11. |
Sections 9.1, 9.2. Review session Wed 8:10-9:00 in regular class room. |
| 6 (Feb 14) | Homework 6. Solutions. |
Sections 9.3, 9.4. Midterm 1 on Monday at 8:30-9:50 in the regular class room. The midterm covers Chapters 7 and 8 with certain exceptions. Exam. Solutions. Mean=68p. Median=69p. |
| 7 (Feb 21) | Homework 7. Solutions. More. |
Sections 9.5, 9.6. Makeup class Wednesday 8:10-9:00 in regular class room. Notes. |
| 8 (Feb 28) |
Homework 8.
Hints. Solutions. |
Sections 11.1, 11.2. No class on Monday. |
| 9 (Mar 7) |
Homework 9. Solutions. More |
Sections 11.3, 11.4. |
| 10 (Mar 14) |
Homework 10. Solutions. |
Sections 11.5 - 11.8 (in mixed order). Midterm 2 on Monday at 8:30-9:50 in the regular class room. The midterm covers chapter 9, and sections 11.1, 11.2, 11.3. Exam. Solutions. Mean=45p. Median=44p. |
| Spring Break |
|
|
| 11 (Mar 28) |
11.12, 11.19, 11.20, 11.21, 11.22. Solutions. 11.22. |
Sections 11.5 - 11.8 (in mixed order). Notes for the Friday lecture. |
| 12 (Apr 4) |
Homework 12.
Hints. Solutions. |
Sections 12.1, 12.2, 12.3. |
| 13 (Apr 11) |
Homework 13. Solutions. |
Sections 12.3, 12.4, 12.5. |
| 14 (Apr 18) |
Homework 14. Solutions. |
Sections 12.5, 12.6, 12.7. Midterm 3 on Monday at 8:30-9:50 in the regular class room. The midterm covers sections 11.4-11.8, 12.1, 12.2, and 12.3. Exam. Solutions. Mean=67p. Median=66p. |
| 15 (Apr 25) |
|
Sections 12.7, 12.8. |
| Finals week |
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Final exam May 3, 1:30pm-4:00pm. Exam. Solutions. Mean=76p. Median=77p. |