APPM 5450 - Spring 2014

Applied Analysis 2, Spring 2014 (APPM 5450)

Meeting times: MWF 9.00 - 9.50, ECCR 131.

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 (ECOT 233): Mondays 1pm-2pm. Wednesdays 10am-11am. (The third office hour is the review session.)

Syllabus: Here.

Webpages for past years: 2006, 2007, 2008, 2010, 2011, 2013.

Notes:

Week:
Homework:
Material covered:
(All dates are tentative!)

1 (Jan 13) Homework 1
Solutions Sections 7.1, 7.2.
An alternative definition of weak differentiation.
Notes for the Monday lecture.

2 (Jan 20) Homework 2
Solutions No class Monday (MLK day).
Sections 7.2, 7.3, 8.1, 8.2.

3 (Jan 27) Homework 3
Solutions Sections 8.3 and 8.4.

4 (Feb 3) Homework 4
Solutions Sections 8.4, 8.6.
Make-up class on Monday 4:20pm-5:20pm, ECCR 1B08. Notes .
Tutorial session (exam review) on Wednesday 8:10am - 9:00am, ECCR 131.
No class on Friday.

5 (Feb 10)
Homework 5
Hints
Solutions
Problem 9.10 Sections 9.1, 9.2.
Midterm 1 on Monday at 8:30-9:50 in the regular class room.
Exam. Solutions. Mean = 61. Median = 58.
The midterm covers Chapters 7 and Sections 8.1 - 8.4 with certain exceptions.

6 (Feb 17) Homework 6
Solutions Sections 9.3, 9.4.
Tutorial on Monday 4:20pm-5:20pm, ECCR 1B08.

7 (Feb 24) Homework 7
Solutions
More solutions Sections 9.5, 9.6.
Tutorial on Wednesday 4:00pm-5:00pm, ECCR 1B08.

8 (March 3) Homework 8
Hints
Solutions Sections 11.1, 11.2.
Tutorial on Wednesday 8:10am-9:00am, ECCR 131.

9 (March 10) Homework 9
Solutions
More Sections 11.3, 11.4.
Tutorial (exam review) on Wednesday 4:20pm-5:20pm, ECCR 131.

10 (Mar 17) 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.
Exam. Solutions. Mean = 56. Median = 53.5.
The midterm covers chapter 9, and sections 11.1, 11.2, 11.3. (And section 8.6.)
No class on Friday.

Spring Break

11 (March 31) 11.12, 11.19, 11.20, 11.21, 11.22.
Solutions. 11.22. Sections 11.5 - 11.8 (in mixed order).
Notes on the definition of F on S^*(R) and L²(R).

12 (April 7) Homework 12. Hints.
Solutions. Sections 12.1, 12.2, 12.3.
Tutorial Monday 4:00pm - 5:00pm, ECCR 1B08.

13 (April 14) Homework 13.
Solutions. Sections 12.3, 12.4, 12.5.
Tutorial (exam review) Wednesday 8:10am - 9:00am, ECCR 131.

14 (April 21) Homework 14.
Solutions. Sections 12.5, 12.6, 12.7.
Midterm 3 on Wednesday at 8:30-9:50 in the regular class room.
Exam. Solutions. Mean = 57. Median = 56.5.
The midterm covers sections 11.4-11.8, 12.1, 12.2, and 12.3.

15 (April 28)
Sections 12.7, 12.8.
Tutorial (exam review) on Wednesday 4:20pm-5:20pm, ECCR 1B08.

Finals week
Final exam on Wednesday May 7, 7:30pm - 10:00pm.
Exam. Solutions. Mean = 71. Median = 73.

Week:	Homework:	Material covered: (All dates are tentative!)
1 (Jan 13)	Homework 1 Solutions	Sections 7.1, 7.2. An alternative definition of weak differentiation. Notes for the Monday lecture.
2 (Jan 20)	Homework 2 Solutions	No class Monday (MLK day). Sections 7.2, 7.3, 8.1, 8.2.
3 (Jan 27)	Homework 3 Solutions	Sections 8.3 and 8.4.
4 (Feb 3)	Homework 4 Solutions	Sections 8.4, 8.6. Make-up class on Monday 4:20pm-5:20pm, ECCR 1B08. Notes . Tutorial session (exam review) on Wednesday 8:10am - 9:00am, ECCR 131. No class on Friday.
5 (Feb 10)	Homework 5 Hints Solutions Problem 9.10	Sections 9.1, 9.2. Midterm 1 on Monday at 8:30-9:50 in the regular class room. Exam. Solutions. Mean = 61. Median = 58. The midterm covers Chapters 7 and Sections 8.1 - 8.4 with certain exceptions.
6 (Feb 17)	Homework 6 Solutions	Sections 9.3, 9.4. Tutorial on Monday 4:20pm-5:20pm, ECCR 1B08.
7 (Feb 24)	Homework 7 Solutions More solutions	Sections 9.5, 9.6. Tutorial on Wednesday 4:00pm-5:00pm, ECCR 1B08.
8 (March 3)	Homework 8 Hints Solutions	Sections 11.1, 11.2. Tutorial on Wednesday 8:10am-9:00am, ECCR 131.
9 (March 10)	Homework 9 Solutions More	Sections 11.3, 11.4. Tutorial (exam review) on Wednesday 4:20pm-5:20pm, ECCR 131.
10 (Mar 17)	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. Exam. Solutions. Mean = 56. Median = 53.5. The midterm covers chapter 9, and sections 11.1, 11.2, 11.3. (And section 8.6.) No class on Friday.
Spring Break
11 (March 31)	11.12, 11.19, 11.20, 11.21, 11.22. Solutions. 11.22.	Sections 11.5 - 11.8 (in mixed order). Notes on the definition of F on S^(R)* and L²(R).
12 (April 7)	Homework 12. Hints. Solutions.	Sections 12.1, 12.2, 12.3. Tutorial Monday 4:00pm - 5:00pm, ECCR 1B08.
13 (April 14)	Homework 13. Solutions.	Sections 12.3, 12.4, 12.5. Tutorial (exam review) Wednesday 8:10am - 9:00am, ECCR 131.
14 (April 21)	Homework 14. Solutions.	Sections 12.5, 12.6, 12.7. Midterm 3 on Wednesday at 8:30-9:50 in the regular class room. Exam. Solutions. Mean = 57. Median = 56.5. The midterm covers sections 11.4-11.8, 12.1, 12.2, and 12.3.
15 (April 28)		Sections 12.7, 12.8. Tutorial (exam review) on Wednesday 4:20pm-5:20pm, ECCR 1B08.
Finals week		Final exam on Wednesday May 7, 7:30pm - 10:00pm. Exam. Solutions. Mean = 71. Median = 73.