Advanced Calculus: Math 151C
Spring 2005, TTh 9:40-11 a.m. in Olmsted Hall 1132
Announcements
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The final exam has been graded, and the results posted on iLearn; you can also see your course grade there. Graduate students, I will put your exams in your mailboxes. Undergraduate students, you can come by my office Monday 9:30-10:30 (sorry it is so short), or let me know how I can get the exam to you otherwise.
Homework
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Homework 8, due June 2: Chapter 11, problems 4, 8, 10, 12, 18.
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Homework 7, due May 26. You can turn in problem 11.4 next week.
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Homework 6, due May 19.
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Homework 5, due May 12.
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The midterm exam was handed out in class on Thursday, April 28, collected on Thursday, May 5, graded, and the results posted on iLearn.
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Homework 3, due April 27: Chapter 10, problems 21(a-d), 24, 27, 28. Do not do 21(e-f), 25.
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Homework 2, due April 20: Chapter 10, problems 7, 8, 15, 16, 17, 20.
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Homework 1, due April 13: Chapter 10, problems 2, 4, 5, 9, 12, 13.
Syllabus
Professor: Michael Anshelevich, 250 Surge.
Office hours: TTh 1-2 p.m., W 9-10 a.m.
TA: Erin Pearse, discussion section W 8:10-9:00 a.m.
Text: Walter Rudin, Principles of Mathematical Analysis, 3rd edition, McGraw-Hill, 1976. Recommended text: Michael Spivak, Calculus on Manifolds, various editions.
Prerequisites: Math 10B (multi-variate integration), Math 151AB.
Course outline: The course will cover two advanced approaches to integration theory, basically independent of one another. The first half of the course will treat differential forms, which in particular provide a framework for integration on curves and surfaces, as well as a general Stokes theorem. The second half will treat Lebesgue integration, which allows one to integrate functions that the usual (Riemann) integral cannot handle.
Exams: We will have a take-home midterm handed out April 28, due in class May 5. The final exam is on Friday, June 10, 8-11 a.m. No make-up exams will be given. If you miss the final, you automatically fail the course. On the take-home exam, books and notes are allowed, collaboration is not. The final is closed book, closed notes.
Homework: weekly, due Thursdays in class. No late homework will be accepted; the lowest score will be dropped. You are encouraged to work together, but you must each turn in your own work.
Grading: Homework 30%, midterm 30%, final 40%.
Other important dates: April 15 (last day to add or drop a course), May 9 (last day to withdraw from a course).
Students with disabilities: Come talk to me no later than the first week of classes.
Keys to success: Solve all the homework problems, well before the exams. Read the homework solutions, after working on the problems, to make sure you know how to do all of them. Spend more than seven hours per week working on the problems. Form study groups to discuss the course material and homework problems. Read ahead in the text.