Math 425: Honors Advanced Analysis, Fall 2005

Text: G. B. Folland, Advanced Calculus, Prentice Hall. Material: Chapters 1-7 and parts of Appendix B. Some sections will be omitted or assigned as reading.

Homework: assigned most weeks. Extensions by prior arrangement only. Your lowest homework score will be dropped.
I encourage you to discuss the homework with other students. Then write up your own solutions in your own words. State on the first page of your homework the names of all those with whom you discussed the problems (this is an ethical matter: "give credit where credit is due").

In-class Tests: Friday 7 October on Chapters 1 and 2, and Friday 11 November on Chapters 3, 4 and parts of 5.
You may not use books, notes, calculators or computers during the tests or exam.

Final exam: 7-10pm, Wednesday 14 December

Grading policy: There will be no makeup tests except for medical reasons or family emergencies. Vacation or leisure plans are never a valid excuse for missing a test or exam.
Your letter grade for the course will be based on your total score out of 500 points:

Final exam: 200 pts (40% of grade)
Midterm 1: 100 pts (20% of grade)
Midterm 2: 100 pts (20% of grade)
Homework: 100 pts (20% of grade)

How to Succeed: Always re-work your lecture notes before the next class, checking every step, filling in missing details and keeping a running list of definitions. Read the text as you re-work your notes. We cover only the most essential points in class, and the text has helpful additional comments; reading them will help you get the big picture. Before each class, ask me about the points you didn't follow in the last class.
Go over your HW solutions the day you get them back, debriefing on your successes and your not-successes.

Analysis is a beautiful and far-reaching subject in pure mathematics, and its techniques permeate much of applied mathematics as well. Success in this course will make many other courses seem relatively easy to you, because you will have learned to think correctly. Here is an Olympic analogy: a pole vaulter too needs many years of practice to master difficult and intricate techniques, before soaring to heights unimaginable to those without the proper training.