Meeting times: MWF 9.00 - 9.50, ECCR 108.
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: Fridays 10am-noon, ECOT 233. (The third office hour is the review session.)
Syllabus: Here.
Webpages for past years: 2006, 2007, 2008, 2010, 2011.
Notes:
| Week: |
Homework: |
Material covered: (All dates are tentative!) |
| 1 (Jan 14) |
Homework 1 Solutions |
Sections 7.1, 7.2. An alternative definition of weak differentiation. Notes for the Monday lecture. |
| 2 (Jan 21) |
Homework 2 Solutions |
No class Monday (MLK day). Sections 7.2, 7.3, 8.1, 8.2. |
| 3 (Jan 28) | Homework 3 |
Sections 8.3 and 8.4. |
| 4 (Feb 4) |
Homework 4 Solutions (Solution for 1c is a little jumbled.) |
Sections 8.4, 8.6. Review session Mon 11-12, ECCR 118. |
|
5 (Feb 11)
|
Homework 5 Hints Solutions Problem 9.10 |
Sections 9.1, 9.2. Review session Mon 11-12, ECCR 118. |
| 6 (Feb 18) |
Homework 6 Solutions |
Sections 9.3, 9.4. Review session (exam review) Mon 8-9 in regular class room. |
| 7 (Feb 25) |
Homework 7 Solutions More solutions |
Sections 9.5, 9.6. Midterm 1 on Monday at 8:30-9:50 in the regular class room. The midterm covers Chapters 7 and 8 with certain exceptions. Mean = 61. Median = 58. Exam. Solutions. Matlab script for figure for problem 3. |
| 8 (March 4) |
Homework 8 Hints Solutions |
Sections 11.1, 11.2. Review session Mon 11-12, ECCR 118. |
| 9 (March 11) |
Homework 9 Solutions More |
Sections 11.3, 11.4. Review session Mon 11-12, ECCR 118. |
| 10 (Mar 18) |
Homework 10 Solutions 11.16. |
Sections 11.5 - 11.8 (in mixed order). Midterm 2 on Wednesday at 8:30-9:50 in the regular class room. The midterm covers chapter 9, and sections 11.1, 11.2, 11.3. Mean = 57. Median = 61. Exam. Solutions. |
| Spring Break |
|
|
| 11 (April 1) |
11.12, 11.19, 11.20, 11.21, 11.22. Solutions. 11.22. |
Sections 11.5 - 11.8 (in mixed order). Review session Mon 11-12, ECCR 118. Notes on the definition of F on S*(R) and L2(R). |
| 12 (April 8) |
Homework 12.
Hints. Solutions. |
Sections 12.1, 12.2, 12.3. Review session Monday 8-9 in the regular class room. |
| 13 (April 15) | Homework 13. Solutions. |
Sections 12.3, 12.4, 12.5. Review session Mon 11-12, ECCR 118. |
| 14 (April 22) | Homework 14. Solutions. |
Sections 12.5, 12.6, 12.7. Midterm 3 on Wednesday 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. Mean = 71. Median = 74. Exam. Solutions. |
| 15 (April 29) |
|
Sections 12.7, 12.8. Review session Mon 11-12, ECCR 118. |
| Finals week |
|
Final exam on
May 9 (Thursday) 7:30am-10:00am
in ECCR 108. Mean = 53. Median = 48. Exam. Solutions. |