David Dumas
University of Illinois at Chicago
Spring 2009
The Cornu spiral, a plane curve whose curvature is a linear function of arc length. |
The exam consists of two problem lists (A and B) with four problems each. For full credit, you must complete two problems from each list during the two-hour exam period.
List A is available below. You will receive list B on the day of the exam.You may not discuss the problems on list A with anyone else until after the exam.
Lectures |
MWF 10:00 - 10:50am in SEO 636 |
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Text |
Differential Geometry of Curves and Surfaces by Manfredo do Carmo (see also: list of errata) ISBN-13: 978-0-13-212589-5 |
Instructor | David Dumas () |
Office hours | Mondays 2-3pm, Wednesdays 11am-12pm in SEO 503 |
Homework Policies | Homework will be assigned after most lectures and collected weekly on Monday (or in the first lecture of the week, if Monday is a holiday). The list of challenge problems will also be updated on a regular basis; you must complete two (undergraduates) or four (graduates) of these problems and submit your written solutions before the end of the semester. |
Late homework will not be accepted. | |
You can discuss the homework with other students, but you must write (and understand!) your own solutions. | |
The homework problems depend on material from both the assigned reading and the lectures. Do not leave the problem sets or reading to the last minute! |
Midterm Exam | Wed, Mar 4 | In class |
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Final Exam | Fri, May 8, 10:30am-12:30pm | SEO 636 |
Homework | 30% |
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Midterm Exam | 30% |
Final Exam | 40% |
When computing your homework grade, the lowest weekly homework score will be dropped, and the remaining scores will be averaged with your challenge problem scores. (That is, each challenge problem is worth as much as a weekly homework assignment!)
Date | Reading |
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Apr 22 | Sections 4.6-4.7 |
Mar 30 | Secion 4.5 |
Mar 20 | Section 4.4 |
Mar 11 | Sections 4.1-4.3 |
Feb 27 | Sections 3.4-3.5 |
Feb 16 | Section 3.1, 3.2 |
Feb 13 | Sections 2.6-2.8 |
Feb 6 | Sections 2.4-2.5 |
Jan 21 | Sections 2.1-2.3 |
Jan 12 | Chapter 1 |
Hwk # | Due | Problems |
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13 | Mon, Apr 27 |
From problem list: P11 Section 4.6: 1, 2, 4 |
12 | Mon, Apr 20 | Section 4.5: 1, 2, 3, 4 |
11 | Mon, Apr 13 |
From problem list: P10 Section 4.4: 13, 17, 18, 20 |
10 | Mon, Apr 6 | Section 4.4: 1, 4, 5, 12 |
9 | Mon, Mar 30 |
Section 3.4: 8, 13 Section 4.3: 1, 2, 4, 6, 8 |
8 | Mon, Mar 16 |
From problem list: P9 Section 3.5: 11, 12 Section 4.2: 6, 7 |
7 | Mon, Mar 2 |
Section 3.2: 2, 4, 8 Section 3.3: 5(a)-(d), 1, 13, 16 |
6 | Mon, Feb 23 |
From problem list: P8 Section 2.5: 1, 7, 8, 9 Section 4.2: 19 |
5 | Mon, Feb 16 |
Section 2.3: 1, 2, 5 Section 2.4: 4, 12, 17 |
4 | Mon, Feb 9 |
From problem list: P6, P7 Section 2.2: 1, 2, 3, 13, 19 Section 2.3: 12 |
3 | Mon, Feb 2 |
From problem list: P3, P4, P5 Section 1.7: 12 |
2 | Mon, Jan 26 |
From problem list: P2 Section 1.6: 3 Section 1.7: 4, 5 |
1 | Wed, Jan 21 |
From problem list: P1 Section 1.3: 4 Section 1.4: 8 Section 1.5: 2, 4, 7, 9, 11, 12 |