Math 481 –
Senior Seminar
Fall
Semester 2009
Assignment
14 Dec 11
1. Rework the exam
and submit to me by 1:00 p. m. next Friday.
2. There
will be a second exam on the “notes” in January.
·
If you are
studying Volterra integral or integro-differential equations,
then purchase by January:
Liapunov Functionals
for Integral Equations, T. A.
·
If you are
studying the Cooke-Yorke equations, then purchase by
January:
Stability by Fixed Point Theoryfor Functional Differential Equations, T. A.
Assignment
13 Dec 7
Exam on the “notes.”
Assignment
12 Dec 4
1. Continuation of Banach spaces II.
Assignment
11 Nov 23
1. Banach spaces II.
2. Exam
on the “notes” will be Monday, Dec. 7.
Assignment
10 Nov 16
1. Banach spaces I.
Assignment
9 Nov 6
1. Uniformly continuous and asymptotically stable solutions of Volterra integro-differential equations.
Assignment
8 Nov 2
1. Continue studying the notes “6. Normed Linear Spaces”.
2. Exam on the “notes”
will be Monday, November 23.
Assignment
7 Oct 26
1. Study the notes “6. Normed Linear Spaces”.
Assignment
6 Oct 9
1. Study the notes “5. Vector Spaces”.
2. Homework 2: next Friday, turn in the solutions to
Exercises 1-6 in “5. Vector Spaces”.
Reminder: Exam on notes, class discussion, and readings on Friday,
October 30. (postponed to Monday, November 23).
Assignment
5 Oct 2
1. Study the notes “4. Contraction Mappings (continued)”.
Reminder: Exam on notes, class discussion,
and readings on Friday, October 30.
Assignment
4 Sept 25
1. Study the notes “3. Contraction
Mappings”.
2. Homework 1: next Friday,
turn in Word document of outline of your senior project.
Announcement. Exam on notes, class
discussion, and readings on Friday, October 30.
Assignment
3 Sept 18
1. Study the notes “2. Complete Metric Spaces” and
prepare the exercises for next Friday.
2. Read
the pages referenced in [B/S].
Assignment
2 Sept 11
1. Study pp. 6-8 in notes “1. Metric
Spaces.”
2. In
[B/S], read pp.
229-231.
3. Be prepared to present any one of the Exercises 3, 4, & 5 in
“1. Metric Spaces.”
Reminder:
4. Start
typing your References page using MS Word.
Start with
[B/S] and [F/B] (the M401 textbook).
Monday, September 7 (Labor Day
Assignment
1 Sept 4
1. Study pp. 1 -5 in notes “1. Metric Spaces.”
2. In
[B/S], read pp. 327-331. [B/S] = Bartle
& Sherbert: Introduction
to Real Analysis.
3. Turn
in Exercises 1 & 2 in “1. Metric Spaces.”
4. Start
typing your References page using MS Word.
Start with [B/S] and [F/B] (our M 401 textbook).