## 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:**

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**Syllabus**

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

**Homework:**

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**Homework #1 (due Wednesday, 9 Sep)**

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**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)**

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**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 #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:**

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**Worksheet, Day #11 (25 Sep)**

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**Worksheet, Day #24 (28 Oct)**

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**Worksheet, Proofs (4 Nov)**

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**Worksheet, Day #29 (9 Nov)**

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

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**Worksheet, Review Exam #2 **

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**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.

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**Exam #1 (Wednesday, 7 Oct)** ...
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**Solutions**