Real Variables I: Math 607
Fall 2011, TR 3:55-5:10 in Blocker 164
Announcements
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The final exam will be Tuesday, December 13, 8-10 a.m.. The exam will not be comprehensive, but will cover sections 2.6-4.8 of the textbook.
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Solutions to Homework assignments 1-13, as well as the homework write-up schedule, are now posted on
eLearning.
Homework
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Homework 14, due December 6.
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Read sections 4.5, 4.6, 4.7, 4.8.
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Chapter 4, problems 51, 56, 63, 64, 68, 70. Quiz: problem 71.
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Homework 13, due November 29.
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Read sections 4.4, 4.5.
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Chapter 4, problems 37, 38, 40, 43. No quiz this week.
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Homework 12, due November 22.
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Read sections 4.2, 4.3, 4.4.
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Chapter 4, problems 17, 19, 25, 26, 27, 32, 35 (you may use the result of Problem 18 without proof). Quiz: problem 34.
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Homework 11, due November 15.
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Read sections 4.1, 4.2.
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Chapter 4, problems 4, 6, 7, 9, 10, 12, 13. Quiz: problems 2 and 8.
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Homework 10, due November 8.
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Read sections 3.5, 4.1.
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Chapter 3, problems 30, 33, 34, 35, 37, 40, 42 (you can use problem 39 without proof). Quiz: problem 36.
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Homework 9, due November 1.
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Read sections 3.3, 3.4, 3.5.
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Chapter 3, problems 19, 20, 21, 23, 24, 25, 26. Quiz: problem 22.
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Homework 8, due October 25.
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Read sections 3.1, 3.2, 3.3.
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Chapter 3, problems 3, 4, 5, 7, 10, 14, 17. Quiz: problem 11.
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Homework 7, due October 20.
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Read sections 2.6, 2.7, 3.1.
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Chapter 2, problems 29, 57, 58, 61, 62, 63, 64. Quiz: problem 59.
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The midterm exam has been graded, and solutions posted on eLearning. For some problems different students used different methods, and I included all of them in the solutions. The median was 38/60, or 63%. The exam covered sections 1.1-2.5 of the text.
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Homework 6, due October 11.
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Read sections 2.5, 2.6.
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Chapter 2, problems 47, 48, 50, 51, 52, 55, 56. Quiz: problem 49.
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Homework 5, due October 4.
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Read sections 2.3, 2.4, 2.5.
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Chapter 2, problems 32, 34, 36, 37, 40, 42, 44. Quiz: problem 43.
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Homework 4, due September 27.
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Read sections 2.2, 2.3, 2.4.
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Chapter 2, problems 13, 16, 17, 19, 20, 21, 27. Quiz: problem 28.
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Homework 3, due September 20.
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Read sections 1.5, 2.1, 2.2.
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Chapter 1, problems 30, 31.
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Chapter 2, problems 4, 5, 6, 7, 8. Quiz: problem 9.
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Homework 2, due September 13.
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Read sections 1.4-1.5.
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Chapter 1, problems 18, 19, 22(a), 23, 28, 29. Quiz: problem 20.
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Homework 1, due September 6.
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Review Chapter 0. Read sections 1.1-1.3.
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Chapter 1, problems 4, 5, 9, 12, 14, 15. Quiz: problem 16.
Professor: Michael Anshelevich, Milner 326.
Office hours: M 2-3 p.m., TR 2:20-3:20 p.m., or by appointment.
Textbook: Folland, Real Analysis, Modern Techniques and Their Applications, 2nd ed., Wiley, ISBN 0471317160.
Student rules: University-approved excuses and attendance, scholastic dishonesty.
Real Analysis qual syllabus.