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| Coordinates |
Hegeman 106, TTh 1:00-2:20 PM, CRN 99328 |
| Professor |
Greg Landweber |
| Office Hours |
Albee 304, Tuesday 11:30 AM - 12:50 PM, Wednesday 3:00 - 4:20 PM, or by appointment. |
| Other Help |
Try the Math Study Room, Sunday to Wednesday, 7-10 PM, RKC 111
or the Differential Equations dedicated tutor Cedric Cogell.
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| No Class |
Fall Break: Tuesday, October 13,
Thanksgiving: Thursday, November 26.
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| Content |
This course is organized around methods for solving ordinary differential equations and incorporates many ideas from calculus. Topics include the classification of differential equations; determining existence and uniqueness of ordinary differential equations; and solving first- and second-order differential equations using a variety of mathematical tools, such as integrating-factors, Laplace transforms, and power series.
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| Prerequisite |
Math 141-142 or permission of the instructor.
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| Textbook |
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Differential Equations
Third Edition
by Blanchard, Devaney, and Hall
Brooks/Cole Cengage Learning
http://math.bu.edu/odes/ |
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Homework |
Homework must be stapled and is due at the start of class Thursdays, starting Thursday, September 3. Late or unstapled homework will not be accepted. Homework will consist of both odd numbered problems with solutions in the back of the book and even numbered problems to be turned in. The even numbered problems will be graded roughly based on the number of problems you attempt and the number of problems you answer correctly.
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Labs |
There will be four lab sessions in Old Henderson 106, held during class on the Thursdays indicated on the schedule below. We will be exploring numerical solutions to differential equations using the mathematical software SAGE. After each lab, you must submit your Sage worksheet online by the start of class the following Tuesday.
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Quizzes |
There will be two 30 minute quizzes given in class on the Thursdays indicated on the schedule below. If you must miss a quiz, you must get permission from Professor Landweber and schedule a make up quiz in advance, unless you are physically unable to do so.
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Exams |
There will be an in class Midterm Exam on Thursday, October 22, and an in class Final Exam on Thursday, December 17. Professor Landweber gives make-up exams only in case of emergencies, and if you miss an exam, you must get permission from Professor Landweber and schedule a make up exam in advance, unless you are physically unable to do so.
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| Grading |
20% Homework
20% Labs (4 @ 5% each)
20% Quizzes (2 @ 10% each)
40% Exams (2 @ 20% each)
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| Schedule |
| September 1, 3 |
Introduction |
Sections 1.1, 1.2 |
Section 1.1: 3, 5, 8, 15, 20
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| September 8, 10 |
Qualitiative and
Quantitative |
Sections 1.3, 1.4 |
Section 1.2: 12, 18, 30, 33, 35
Section 1.3: 2, 11, 12, 17, 18
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Lab |
| September 15, 17 |
Existence and Uniqueness |
Sections 1.5, 1.6 |
Lab 1 Homework
Section 1.5: 9, 11
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| September 22, 24 |
Integrating Factors |
Sections 1.9, 2.1 |
Section 1.6: 14, 30, 42
Section 1.9: 3, 6, 12, 26
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Quiz |
September 29
October 1 |
First Order Systems |
Sections 2.2, 2.3 |
Section 2.1: 20
Section 2.2: 11, 18, 20
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| October 6, 8 |
Linear Systems |
Sections 2.4, 3.1 |
Section 2.3: 16, 18, 19
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Lab |
| October 15 |
Linear Systems |
Section 3.1 |
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| October 20, 22 |
Review |
Practice Midterm |
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Midterm |
| October 27, 29 |
Eigensolutions |
Section 3.2 |
Section 3.1: 14, 15, 18, 35
Section 3.2: 13, 17
Section 3.3: 7, 11
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| November 3, 5 |
Special Cases |
Sections 3.3, 3.4 |
Section 3.4: 10, 21
Section 3.5: 15, 16
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| November 10, 12 |
Forced Oscillators |
Sections 3.5, 3.6 |
Section 3.6: 13, 21, 29
Section 4.1: 13, 16, 31
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Quiz |
| November 17, 19 |
Resonance |
Sections 4.1, 4.2, 4.3 |
Section 4.2: 3, 10, 14, 19
Section 4.3: 9, 14, 18, 21, 24
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| November 24 |
The Tacoma
Narrows Bridge |
Sections 4.4, 4.5 |
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| December 1, 3 |
Numerical Methods |
Sections 7.1, 7.2 |
TBA
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Lab |
| December 8, 10 |
Runge-Kutta Methods |
Sections 7.3, 7.4 |
TBA
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Lab |
| December 15, 17 |
Review |
Practice Final Exam |
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Final Exam |
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