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:

Syllabus

According to the course catalogue, the course will cover: "Properties of the real numbers, metric spaces, infinite sequences and series, continuity."

Homework:

Homework #1 (due Wednesday, 9 Sep)

... Solutions

Homework #2 (due Wednesday, 16 Sep)

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Homework #3 (due Wednesday, 23 Sep)

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Homework #4 (due Wednesday, 30 Sep)

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Homework #5 (due Monday!, 5 Oct)

... Solutions (updated 12 Oct)

Homework #6 (due Wednesday, 21 Oct)

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Homework #7 (due Wednesday, 28 Oct)

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Homework #8 (due Wednesday, 4 Nov; updated 2 Nov)

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Homework #9 (due Wednesday, 11 Nov; updated 4 Nov)

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Homework #10 (due Wednesday, 18 Nov)

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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:

Worksheet, Day #11 (25 Sep)

Worksheet, Day #24 (28 Oct)

Worksheet, Proofs (4 Nov)

Worksheet, Day #29 (9 Nov)

Worksheet, Review Exam #2, In class (18 Nov)

Worksheet, Review Exam #2

(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.

Exam #1 (Wednesday, 7 Oct)

... Solutions (typos fixed 12 Oct)

Exam #2 (Friday, 20 Nov)

... Solutions