Applied Analysis 2, Spring 2011 (APPM 5450)

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
Final exam May 3, 1:30pm-4:00pm.
Exam. Solutions. Mean=76p. Median=77p.