Applied Analysis 2, Spring 2006 (APPM 5450)

Meeting times: MWF 12.00 - 12.50, ECCR 108.
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.
Tutorials: Mondays 17.00-18.00, ECCR 118.
Office Hours: Mondays 16.00-17.00, Wednesdays 13.30-14.30, ECOT 233.
Syllabus.

Notes:
 Week: Homework: Material covered: (All dates - including the midterm dates - are tentative!) 1 (Jan 16) Section 7.3. No class Monday (MLK day). 2 (Jan 23) Homework 1 Section 8.1 - 8.3. No tutorial Monday. 3 (Jan 30) Homework 2 Sections 8.4, 8.6. No class Friday. 4 (Feb 6) Homework 3 Sections 8.6, 9.1, 9.2. 5 (Feb 13) Homework 4 Sections 9.3, 9.4. 6 (Feb 20) Homework 5 Sections 9.4, 9.5. Midterm 1 on Feb 20. The midterm covers sections 8.1 - 9.3, with certain exceptions. 7 (Feb 27) 9.17, 9.19, 9.20, 11.1(b,c), 11.2. Sections 11.1, 11.2. 8 (Mar 6) Homework 7 Sections 11.3, 11.4. 9 (Mar 13) Homework 8 Sections 11.5 - 11.8 (in slightly mixed up order). 10 (Mar 20) Homework 9 Sections 11.5 - 11.8. Midterm 2 on Wed., Mar 22, 5pm, ECCR 110. The midterm covers Secs 9.3, 9.4, 9.5, 11.1 - 11.4. Some notes, solutions. Spring Break 11 (Apr 3) 11.12, 11.19, 11.20, 11.21. Sections 12.1, 12.2, 12.3. 12 (Apr 10) Homework 11 Sections 12.3, 12.4, 12.5. 13 (Apr 17) Homework 12 Sections 12.5, 12.6. (12.7) 13.1. 14 (Apr 24) (12.15), 12.16, 12.17, 12.18. Review the implicit/inverse function theorems in R^d! Sections 13.1, 13.2. Midterm 3 on April 24, some notes, solutions. Lecture notes on Ch. 13. 15 (May 1) Homework 14 Sections 13.3, 13.4. Final Final on Tuesday, May 9th, at 7:30. ECCR 108. Some notes on the final. Solutions.