| Math 109b |
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| Introduction to Geometry and Topology | |
| Winter 2009-10 |
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MWF 10:00 //
153 Sloan
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Instructor:
Henry
Wilton, 272 Sloan,
626-395-4345, wilton@caltech.edu
Office Hours: Steve Frankel, 256 Sloan, 626-395-4338, frankel@caltech.edu |
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| March 10 The final exam will be posted online later today. It should be completed and returned to the usual box by 4pm on Wednesday, March 17. There are five questions. Any material from Do Carmo covered in the course is examinable. |
| February 16 I have posted a short, anonymous survey below, in the Handouts section. Please fill this in and return it to the usual box by Wednesday, February 24. Thanks! |
| February 6 Solutions to homework 4 have been posted below. |
| February 4 The midterm exam has been posted below. It must be returned to the usual box by 4pm on Wednesday, February 10. Material up to section 2.4 of Do Carmo is examinable. We intend to have homework 4 and solutions returned to you by Monday, February 8 at the latest. |
| February 4 Solutions to homework 3 have been posted below. |
| February 3 Solutions to homeworks 1 and 2 have been posted below. Note that there is no solution given for Question 5(b) of homework 2, which seems to be rather hard. |
| January 25 There was another typo in question 2 of homework 3. Thanks to Jason for pointing this out. Another corrected version has now been posted. |
| January 25 There was a typo in question 2 of homework 3. Thanks to Justin and Prakhar for pointing this out. A corrected version has now been posted. |
| January 21 Question 5b of Homework 2 was much harder than I thought. Don't worry if you couldn't do it. |
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| Course Objective: Math
109b is the second of three courses in the 109 sequence, and is an introduction to geometry. We begin by considering the differential geometry of curves in
three-dimensional space, developing such concepts as arc length, curvature and torsion. A large part of Ma109b
is dedicated to studying the differential geometry of surfaces in three-dimensional space. This includes both local and global properties. This will be
intertwined with more advanced topics on abstract differentiable manifolds. Prerequisites: Ma 2 or equivalent, and Ma 108 must be taken previously or concurrently. |
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| Grading Policy: Weekly homework (30%), a midterm (30%) and a
final (40%). Homework Policy: Homework is due in the box outside the office at 4pm on Wednesdays. At most one late homework set will be accepted. Except in unusual circumstances, homework will not be accepted more than a week late. You should see the instructor in advance if it is necessary to turn in homework late. Homework will be posted online every week except during the midterm and fi nal. Sometimes the instructor may forget to post the homework - it is your responsibility to remind him. Collaboration policy: You may discuss homework problems with other students, but solutions should be written up individually in your own words. Take-home exams must be your own work, with outside references properly attributed. |
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Textbook:
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