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Math 351 - Spring 2005 - Differential Equations
Class Description from Catalog
Prerequisites: MATH 250; 262. Linear equations, series solutions, singular points, existence and uniqueness of solutions, systems of equations. This course is not open to students who have credit for MATH 280.
Prerequisites will be strictly enforced.
Class Information
| Class Location: | JR-202 (Jerome Richfield Hall) [Campus Map] |
| Class Time: | Tuesday/Thursday 7:00-8:15 |
| Instructor: | Bruce E Shapiro, Ph.D. |
| Office Location: | FOB-341 (Faculty Office Building) [Campus Map] |
| Office Hours: | Thursdays, 5:30 PM-6:45 PM (hour before class) or by appointment. |
| Email: | bruce.e.shapiro at csun.edu |
| Class Web Page: | http://www.bruce-shapiro.com/math351/spring2005/
Students are responsible for checking the web page regularly for announcements and homework assignments. |
| Syllabus: | Click Here for Syllabus |
| Lecture Notes: | Click Here for Lecture Notes |
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| Grading: |
Click here for grading policy on Syllabus
Click here for grades (password required)
Midterm exam:
Mean: 78.8%
Median: 75%
Standard Deviation: 14.9%
High Score: 100%
Low Score: 54%
[ Get copy of exam | Get (corrected) solutions to exam ]
Final exam:
Mean: 76.3%
Median: 79%
Standard Deviation: 10.1%
High Score: 96%
Low Score: 62%
Final Grade Distribution:
A:6; A-: 1; B+:3; B:7; B-: 2; C+: 2: C:1; F:1; Class GPA: 3.07 (B)
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| Homework: |
Click on one of the following links to download a homework set
• (30 points) Homework Set 1, Due 22 February 2005 (pdf) [ solutions ]
• (30 points) Homework Set 2, Due 1 March 2005 (pdf) [ solutions ]
• (40 points) Homework Set 3, Due 8 March 2005 (pdf) [ solutions ]
• (40 points) Homework Set 4, Due 15 March 2005 (pdf) [ solutions ]
• (30 points) Homework Set 5, Due 17 March 2005 (pdf) [ solutions ]
• (30 points) Homework Set 6 (Corrected), Revised due date
12 April 2005 (pdf) [ solutions ]
• (40 points) Homework Set 7, Due 21 April 2005 (pdf) [ solutions ]
• (40 points) Homework Set 8, Due at final exam
• (120 points) Homework Set 9, Due 19 May 2005 [ solutions ]
Total homework score is 400 points, counts as 50% of the class grade.
Note: Click here to see the policy on late homework on the syllabus.
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| Supplementary Material: |
• A Mathematica Notebook with a function to plot the slope field of a differential equation (I don't recommend you spend much time with this unless you are fairly comfortable with Mathematica already).
• Grade posting PIC form
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Supplementary Readings (optional):
(Ask in class how to access these files). |
• Implicit Functions (including a proof of the implicit function theorem), from Richard
Courant and Fritz John, Introduction to Calculus and Analysis, Volume Two, Wiley (1974), pp. 218-228. (Supplement to
material in Chapter 1 of the lecture notes).
• Uniqueness for Ordinary Differential Equations, from Rodney D. Driver, Introduction
to Ordinary Differential Equations,Harper & Row (1978), pp 37-47. (Supplement to material in Chapter 2 of the lecture notes)
• Picard's Existence Theorem, from H.S.Bear, Differential Equations, Addison-
Wesley (1962), pp. 140-160. (Supplement to material in Chapter 6 of the lecture notes)
• Existence and Uniqueness to Solutions of First Order Equations, from Earl A. Coddington,
An Introduction to Ordinary Differential Equations, Dover (1989) pp 185-228. (Supplement to material in Chapter 6 of the lecture notes). (Difficult)
• Differential equations of the first order in one unknown, from Witold Hurewicz, Lectures
on Ordinary Differential Equations, MIT Press (1958) pp. 1-22. (Supplements material in Chapter 7 of the lecture notes) (Very Difficult)
• Frank Ayres, "The Complex Numbers", Chapter 8 of
Theory and Problems of Modern Algebra, Schaum's Outline Series, McGraw-Hill (1965) pp. 75-91.
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Additional Picture Submissions Welcome!
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