This course will introduce basic methods for solving ordinary differential equations, with a particular emphasis on linear differential equations with constant coefficients and systems of differential equations. Differential equations are the language in which the laws of physics are expressed, and have numerous applications in the physical, biological, and social sciences. We will discuss many standard applications. We will also briefly discuss some numerical methods for solving differential equations.
Help: The Mathematics Learning Centre (MLC) is located in Math Tower S-240A, and offers free help to any student requesting it. It also provides a locale for students wishing to form study groups. The MLC is open 10am-6pm Monday through Thursday.
The class meets on Mondays, Wednesdays, and Fridays, 1145-1240
in Library-E4330.
Recitation 01 meets on Wednesdays, 935-1030
in Light Engineering-152.
Recitation 02 meets on Fridays, 150-245
in Light Engineering-154.
| Week of | Sections covered Assignment (To be submitted in the right recitation class the week after) | Comments |
| Aug 28th-Sept 2nd | 1.1: 1, 3, 13, 19, 27; 1.2: 1, 4, 8, 15, 42; 1.3: 2, 8, 21, 29. |
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| Sept 5th-Sept 9th | 1.4: 1, 2, 3, 4, 6, 19, 23, 24, 48; 1.5: 1, 2, 3, 5, 12, 15. |
No class on Monday 9th, labour day. |
| Sept 12th-Sept 16th | 1.6: 1, 5, 8, 17, 18, 19, 31, 34, 36; 2.1: 2, 4, 32, 33. |
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| Sept 19th-Sept 23rd | 2.2: 9, 21; 2.3: 2, 4, 6, 25, 26, 29. |
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| Sept 26th-Sept 30th | 2.4: 3, 5; Review |
No class on Friday, but Wednesday runs on Friday schedule. |
| Oct 3th-Oct 7th | 3.1: 4, 10, 14, 17, 19, 20, 29, 34, 40, 46. |
First midterm exam on Monday, October 3rd in class.
Answers |
| Oct 10th-Oct 14th | 3.2: 1, 4, 8, 18, 21, 30, 31; 3.3: 3, 5, 9, 10, 18, 21, 22. |
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| Oct 17th-Oct 21st | 3.4: 1, 3, 15, 17, 19, 12(a, b, e); 3.5: 1, 2, 3, 6, 35, 47, 53. |
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| Oct 24th-Oct 28th | 3.6: 1, 4, 7, 11, 13, 15, 18; 3.7: 8, 13, 17. |
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| Oct 31st-Nov 4th | 4.1: 1, 5, 6, 11, 17, 21, 22. Review |
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| Nov 7th-Nov 11th | 5.1: 1, 2, 4, 6, 7, 11, 14, 19, 21, 22, 30; 5.2: 1, 6, 11, 19, 41. |
Second midterm exam on Monday, Nov. 7th in class.
Answers The answer to problem 1 must be corrected to y(x) = c1 e^(-1/2x) + (X) c2 e^(-1/2x), an x is missing in the solution. |
| Nov 14th-Nov 18th | 5.4: 1, 3, 11, 15; 5.5: 1, 3, 10, 17, 26, 35. |
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| Nov 21st-Nov 25th | 5.6: 1, 2, 8. |
No classes on Wednesday or on Friday. |
| Nov 28th-Dec 2nd | 8.1: 1, 4, 6, 14, 18; 8.2: 1, 2, 6, 16, 17. |
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| Dec 5th-Dec 9th | More discussions on power series solutions of ODEs, Review for final exam |
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| Dec 12th-Dec 16th | Class only on Monday, the last day of classes. Final exam on Tuesday, Nov. 13th, 2:15-4:45pm. |
If you have a physical, psychological, medical, or learning disability that may impact your course work, please contact Disability Support Services at http://studentaffairs.stonybrook.edu/dss or (631)632-6748. They will determine with you what accomodations are necessary and appropriate. All information and documentation is confidential.
Students who require assistance during emergency evacuation are encouraged to discuss their needs with the lecturer and Disability Support Service. For procedure and information go to the following website: http://www.stonybrook.edu/ehs/fire/disabilities.shtml