Applied Analysis 1, Fall 2006 (APPM 5440)

Meeting times: MWF 9.00 - 9.50, Duane Physics Building, Room G2B60.
Main Text: Chapters 1 - 6 of "Applied Analysis" by John K. Hunter and Bruno Nachtergaele.
Recommended supplementary text: "Introductory Real Analysis" by Kolmogorov and Fomin.
Tutorials: Monday 5.30 - 6.30, ECCR 1B08.
Office Hours: Monday 10.00 - 12.00.
Syllabus: Here.

The webpage of the 2005 class is here.

Notes:
Week:
Homework:
Material covered:
(All dates - including the midterm dates - are tentative!)
1 (Aug 28)

Sections 1.1, 1.2, 1.3.
2 (Sep 4)
Homework 1, solution for 2c. Sections 1.4, 1.5.
No class Monday (Labor Day).
3 (Sep 11)
Problems 1.8, 1.9, 1.10, 1.12, 1.13. Sections 1.5, 1.6.
4 (Sep 18)
Homework 3.
Some solutions, more, more.
Sections 1.7, 1.8, 2.1, 2.2.
Make-up class on Wednesday, 11.00-12.00, ECOT 226.
Notes for Chapter 1.
5 (Sep 25)
Homework 4. Chapter 2.
Midterm 1 on Monday, 5.30 - 6.50. Solutions.
The midterm covers sections 1.1 - 1.6.
6 (Oct 2)
Homework 5. Solutions. Chapter 2 and starting on Chapter 3.
Make-up class on Tuesday, 11.00-12.00, ECOT 226.
Notes for Tuesday and Wednesday classes.
7 (Oct 9)
Homework 6. Solutions. No classes this week.
8 (Oct 16)
Homework 7. Chapter 3.
Make-up class on Tuesday, 10.00-11.00, ECOT 226.
Lecture notes for Monday and Tuesday.
9 (Oct 23)
Homework 8. Solutions. Chapter 4.
10 (Oct 30)
Homework 9. Chapters 4 and 5.
Midterm 2 on Monday, 5.30 - 6.50.
The midterm covers sections 1.7 - 3.5 (except Sec. 2.3).
11 (Nov 6)
Homework 10, solution sketches. Chapter 5.
12 (Nov 13)
Problems 5.4, 5.5, 5.7, 5.8.
(Feel free to assume that k is non-neg in 5.5.)
Chapter 5.
Thanksgiving


13 (Nov 27)
Homework 12. Chapter 6.
Lecture notes on Chapter 6.
Note: These lecture notes define the syllabus for Chapter 6.
Notes for the make-up class.
14 (Dec 4)
Problems 6.1, 6.2, 6.3, 6.4. Chapter 6.
Midterm 3 on Monday, 5.30 - 6.50.
The midterm covers Chapters 4 and 5.
Notes on Chapter 4. Notes on Chapter 5.
The exam, solutions.
15 (Dec 11)
Homework 14. Chapter 6 and review.
15 (Dec 18)

Final on Wed at 7.30 - 10.00. DUAN G2B60.
Last year's final is here, with solutions.
Solutions to this year's final.