Applied Analysis 2, Spring 2017 (APPM 5450)

Meeting times: MWF 13.00 - 13.50, ECST 1B21.

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): Monday 9am - 10:50am. Friday 2pm - 2:50pm.

Syllabus: Here.

Webpages for past years: 2006, 2007, 2008, 2010, 2011, 2013, 2014.

Notes:
Week:
Homework:
Material covered:
(All dates are tentative!)
1 (Jan 16) Homework 1
Solutions
No class on Monday (MLK day).
Sections 7.1, 7.2.
An alternative definition of weak differentiation.
Notes for the Wednesday lecture.
2 (Jan 23) Homework 2.
Solutions.
Sections 7.2, 7.3, 8.1, 8.2.
3 (Jan 30) Homework 3.
Solutions.
Sections 8.3 and 8.4.
4 (Feb 6) Homework 4.
Solutions.
Sections 8.4, 8.6, 9.1.
Make-up class on Monday, 12:10 - 13:00, ECCR 151. Notes. Summary of Section 8.6.
5 (Feb 13) Homework 5.
Hints. Solutions.
Sections 9.1, 9.2, 9.3.
Midterm 1 on Friday Feb 17, 8:30am - 9:50am, ECCR 108.
The midterm covers Chapters 7 and Sections 8.1 - 8.4 and 8.6 with certain exceptions.
Exam. Solutions. Mean = 57.0. Median = 59.
6 (Feb 20) Homework 6.
Solutions.
Sections 9.4, 9.5, 11.1, 11.2.
Make-up class on Monday, 12:10 - 13:00, ECCR 151. Notes; more.
7 (Feb 27) Homework 7.
Solutions.
More solutions.
Sections 11.2, 11.3.
No class or office hours on Monday or Wednesday.
8 (March 6) Homework 8.
Hints. Solutions.
Sections 11.3, 11.4.
9 (March 13) Homework 9.
Solutions. More.
Sections 11.5 - 11.8 (in mixed order).
No class on Wednesday.
Midterm 2 on Friday (in class).
The midterm covers chapter 9, and sections 11.1, 11.2, 11.3, 11.4.
This includes homework 9 (except Problem 2).
Exam. Solutions. Mean = 68.1. Median = 69.
10 (Mar 20) Homework 10.
Sections 11.5 - 11.8 (in mixed order).
Notes on the definition of F on S*(R) and L2(R).
Spring Break

11 (April 3) 11.12, 11.19, 11.20, 11.21, 11.22.
Solutions 11.22.
Sections 12.1, 12.2, 12.3.
12 (April 10) Homework 12.
Hints. Solutions.
Sections 12.4, 12.5, 12.6.
Review session Friday, 9:00am - 9:50am, KOBL 102.
13 (April 17) Homework 13.
Solutions.
Sections 12.6, 12.7, 12.8.
Review session Friday, 9:00am - 9:50am, KOBL 102.
14 (April 24) Homework 14.
Solutions.
No class on Monday or Wednesday.
Midterm 3 on Friday, in class.
The midterm covers sections 11.5-11.8, and chapter 12.
Exam. Solutions. Mean=65.6. Median=68.
15 (May 1)
Review session on Thursday 2:00pm - 2:45pm, in ECCR 131.
Finals week
The final exam is a take-home exam, due on Wednesday May 10, at 7:00pm.