Math 241: Analysis in Several Real Variables I
Fall 2009
Course Info:
- Course: Analysis in Several Real Variables I
- Lectures: Monday, Wednesday, Friday, 11:45 a.m. - 12:35 p.m.
- Dates: 31 August 2009 - 9 December 2009
- Room: Votey 220
- Instructor: John Voight
- Office: 16 Colchester Ave, Room 207C
- Phone: (802) 656-2271
- E-mail: jvoight@gmail.com
- Office hours: Mondays, 10:00 - 11:30 a.m. and 2:00 - 3:30 p.m.; or please make an appointment!
- Course Web Page: http://www.cems.uvm.edu/~voight/241/
- Instructor's Web Page: http://www.cems.uvm.edu/~voight/
- Prerequisites: Math 52, 121, 124 or permission.
- Required Text: Stephen Abbott, Understanding Analysis, Springer, 2002.
- Grading: Weekly homework will count for 45% of the grade, two 50-minute midterms will count for 15% each, and a final exam will count for 25%.
- Final Exam: Tuesday, 15 December 2009, 3:30 p.m. - 6:30 p.m.
Syllabus:
[PDF] Syllabus
According to the course catalogue, the course will cover: "Properties of the real numbers, metric spaces, infinite sequences and series, continuity."
Homework:
[PDF] Homework #1 (due Wednesday, 9 Sep)
[PDF] Homework #2 (due Wednesday, 16 Sep)
[PDF] Homework #3 (due Wednesday, 23 Sep)
[PDF] Homework #4 (due Wednesday, 30 Sep)
[PDF] Homework #5 (due Monday!, 5 Oct)
[PDF] Homework #6 (due Wednesday, 21 Oct)
[PDF] Homework #7 (due Wednesday, 28 Oct)
[PDF] Homework #8 (due Wednesday, 4 Nov; updated 2 Nov)
[PDF] Homework #9 (due Wednesday, 11 Nov; updated 4 Nov)
[PDF] Homework #10 (due Wednesday, 18 Nov)
[PDF] Homework #11 (due Wednesday, 9 Dec)
Homework is (usually) due on Wednesdays. Cooperation on homework is permitted (and encouraged), but if you work together, do not take any paper away with you--in other words, you can share your thoughts (say on a blackboard), but you have to walk away with only your understanding. In particular, write the solution up on your own.
Worksheets:
[PDF] Worksheet, Day #11 (25 Sep)
[PDF] Worksheet, Day #24 (28 Oct)
[PDF] Worksheet, Proofs (4 Nov)
[PDF] Worksheet, Day #29 (9 Nov)
[PDF] Worksheet, Review Exam #2, In class (18 Nov)
[PDF] Worksheet, Review Exam #2
[PDF] Worksheet, Final Review
(Real/fantasy analysis artwork thanks to Pat Fitzgerald.)
Exams:
There will be two midterm exams and a comprehensive final exam.
You are permitted to bring to each exam one 8x11-sheet of paper upon which you may write anything that you like on one side.
[PDF] Exam #1 (Wednesday, 7 Oct) ... [PDF] Solutions