## Math 241: Analysis in Several Real Variables I

### Fall 2010

**Course Info:**

**Course:**Analysis in Several Real Variables I**Lectures:**Monday, Wednesday, Friday, 9:35 a.m. - 10:25 a.m.**Dates:**30 August 2010 - 8 December 2010**Room:**Perkins 200**Instructor:**John Voight**Office:**16 Colchester Ave, Room 207C**Phone:**(802) 656-2271**E-mail:**jvoight@gmail.com**Office hours:**Mondays and Wednesdays, 3:00 p.m. - 4:30 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 50% of the grade, in-class "quick response" will count for 5% of the grade, two 50-minute midterms will count for 10% each, and a comprehensive final exam will count for 25%.**Final Exam:**Friday, 17 December 2010, 7:30 a.m. - 10:30 a.m. Eep!

**Syllabus:**

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**Syllabus (Updated 21 November 2010)**

**Homework:**

See a list of errata provided by the author.

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**Homework Submission Guidelines**

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**Homework #1 (due Wednesday, 8 Sep)**

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**Homework #2 (due Wednesday, 15 Sep)**

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**Homework #3 (due Wednesday, 22 Sep)**

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**Homework #4 (due Wednesday, 29 Sep)**

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**Homework #5 (due Monday, 4 Oct)**

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**Homework #6 (optional; due Wednesday, 13 Oct)**

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**Homework #7 (due Wednesday, 20 Oct)**

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**Homework #8 (due Wednesday, 27 Oct)**

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**Homework #9 (due Wednesday, 3 Nov)**

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**Homework #10 (due Wednesday, 10 Nov)**

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**Homework #11 (due Wednesday, 17 Nov) (Updated 9 Nov 2010)**

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**Homework #12 (due Friday, 3 Dec)**

Homework is usually due on Wednesdays. Be sure to show your work and explain how you got your answer. Correct but incomplete answers will only receive partial credit. Part of the beauty of mathematics is in the elegance of its proofs, and one goal of this course is for you to learn to write mathematics excellently.

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, you must write the solution up on your own.

Plagiarism, collusion, or other violations of the Code of Academic Integrity will be referred to the The Center for Student Ethics and Standards.

**Quick Response:**

On occasion throughout the semester, you will be given short (5-minute) in-class quick response quizzes. These will be easy and are simply to encourage you to keep up with the class and reward your attention.

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**Quick Response #1**

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**Quick Response #2**

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**Quick Response #3**

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**Quick Response #4**

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**Quick Response #5**

**Worksheets:**

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**Worksheet #1 (Monday, 30 Aug)** ...
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**Solutions**

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**Proof Party (Thursday, 16 Sep)**

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**Proof Party Non-Examples (Thursday, 16 Sep)**

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**Worksheet #2 (Exam #1 Review, 4 Oct)**

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**Worksheet #3 (Proof Workshop #2, 8 Nov)**

**Exams:**

There will be two midterm exams and a comprehensive final exam.

Check out old exams on the 241 Fall 2009 website.

You are permitted to bring to each exam one 8x11-inch sheet of paper upon which you may write anything that you like on one side.

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**Exam #1** ...
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**Solutions**

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**Exam #2** ...
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**Solutions**

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**Final Exam** ...
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**Solutions**

**Links:**

There are additional resources on the 241 Fall 2009 website.

Check out Terry Tao's Problem-solving strategies for real analysis.