Applied Analysis 1, Fall 2005 (APPM 5440)

Meeting times: MWF 12.00 - 12.50, Duane Physics Building, Room G2B21.
Main Text: Chapters 1 - 7.2 of "Applied Analysis" by John K. Hunter and Bruno Nachtergaele.
Recommended supplementary text: "Introductory Real Analysis" by Kolmogorov and Fomin.
Discussion sessions: Wednesdays 17.00-18.00.
Office Hours: Mondays 13.20-14.20, Wednesdays 16.00-17.00.
Tutorials: Wednesdays 17.00-18.00, Duane Physics Building, Room G1B35.
Syllabus.

Notes:
Week:
Homework:
Material covered:
(All dates - including the midterm dates - are tentative!)
1 (Aug 22)
Review of prerequities.
Try the quiz again.
Introduction, review of pre-requisites.
Chapter 1.
2 (Aug 29)
1.3, 1.4, 1.5, 1.8, 1.9b, 1.10, 1.12, 1.13. Chapter 1.
3 (Sep 5)
Homework 3 Chapter 1.
No class on Monday (Labor Day).
4 (Sep 12)
Homework 4 Chapters 1.7, 1.8, 2.1, 2.2.
5 (Sep 19)
2.4, 2.5, 2.6, 2.7, 2.8, 2.9. Chapter 2.
6 (Sep 26)
2.10, 2.11, 2.12, 2.14. Midterm 1 on Wednesday - covers chapters 1.1 - 2.2.
Chapters 2 and 3.
(We postpone Sec 2.3.)
7 (Oct 3)
3.1, 3.2, 3.3, 3.4, 3.6. Chapter 3.
Drop deadline October 5th.
No tutorial on Oct 5th.
8 (Oct 10)
Homework 8 Chapter 4.
No class on Friday (Fall break).
9 (Oct 17)
Homework 9 Chapter 4.
Notes on Chapter 4.
Tutorial and office hours on Wednesday are moved to Thursday, same times. Tutorial is in DUAN G131.
10 (Oct 24)
5.1, 5.3, 5.4, 5.5, 5.7. Midterm 2 on Wednesday at 5pm.
DUAN 131.
The midterm covers chapters 2.4 through 4.3.
Chapter 5.
11 (Oct 31)
5.8, 5.10, 5.12, 5.13, 5.16. Chapter 5.
12 (Nov 7)
Homework 12 Chapter 5.
13 (Nov 14)
6.3, 6.4, 6.6, 6.12. Verify that formula (6.5) defines an inner product when the parallelogram law holds. Chapter 6.
Lecture notes.
Tutorial 3.30 - 4.30 Wed in ECCR 110.
14 (Nov 21)

Chapter 6.
No tutorial on Wed.
No class on Friday (Thanksgiving).
15 (Nov 28)
7.1, 7.2, 7.3, 7.4, 7.6 Chapter 7 (sections 7.1 - 7.2 only).
Midterm 3 on Mon 5.45-7.15, ECCR 150.
Notes on midterm 3.
Tutorial Fr 4.15-5.15, ECCR 110.
16 (Dec 5)

Review.
Wednesday is last day of class.
Final is on Sunday, 1.30 - 5.00,
in ECCR 105.
Final. Solutions
Problems 1d and 1e were ambiguously worded and are not counted towards the total score.