Spring 2005
| Instructor: |
Professor Sigal Gottlieb |
| Email: |
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| Office Hours: |
Wednesday 11:15am-12:00 and Monday 12:50pm-1:20, B&H Lobby |
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| Teaching Assistant: |
Akil Narayan |
| Email: |
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| Office Hours: |
Mon., Wed., 2:30pm-4, B&H Lobby |
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| Meeting Time: |
Lecture: MWF 12:00pm-12:50pm, B&H 160
Recitation: Th 12pm-1, B&H 155 or Th 6-7, B&H 158 |
| Textbook: |
"Elementary Differential Equations and Boundary Value Problems", 8th edition; William E. Boyce and Richard C. DiPrima; John Wiley & Sons, Inc. |
From BOCA: Intended primarily for students who desire a rigorous development of the mathematical foundations of the methods used, for those students considering one of the applied mathematics concentrations, and for all students in the sciences who will be taking advanced courses in applied mathematics, mathematics, physics, engineering, etc. Three hours lecture and one hour recitation.
is desirable as a corequisite. Prerequisite:
From http://www.dam.brown.edu: Review of vector algebra and matrix methods, with applications to systems of linear, first order differential equations. Nonlinear problems and stability. Introduction to partial differential equations and Fourier series methods. Boundary value problems and an introduction to Sturm-Liouville systems.
Translation: this class is about solving ordinary differential equations, and you should know differential and integral calculus to do well in it. In addition, you should be familiar with the topics covered in AM35. Specific areas covered include
- ODE systems
- Numerical Methods
- Laplace Transforms
Course Materials
| Course Syllabus (PDF) |
| Homework Assignments (PDF) |
| Numerical Project Assignment (PDF) |
| Final Project Assignment (PDF) |
- Homework #1 Solutions
- Homework #2 Solutions (section 7.5)
- Homework #2 Solutions (section 7.6)
- Homework #2 Solutions (section 7.7)
- Homework #3 Solutions (section 7.4)
- Homework #3 Solutions (section 7.8)
- Homework #3 Solutions (section 7.9)
- Homework #4 Matlab m-files (ZIP) (sections 8.1-8.4) (documentation)
- Homework #5 Solutions (sections 8.1, 8.2)
- Homework #5 Matlab m-files (ZIP) (section 8.6) (See documentation for HW#4 for instructions)
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Matlab Miscellany
Matlab is a computational software program. We will use Matlab this semester for calculations involving matrices and simulations of differential equations. Matlab is available on all Brown computer clusters. If you live on-campus, you can download it from Brown and use it. If you live off-campus, you'll also need KeyAccess.
While this class has no formal programming prerequisites, you may wish to familiarize yourself with Matlab's syntax before it is covered in class; this will give you an edge on the learning curve. No tutorial can substitute real experience with Matlab. You should run Matlab yourself and play around with the commands until you feel comfortable. The documentation included with the program is itself a wonderful introduction to the language. Additionally, if you know about the existence of some command "foo", but you don't remember the syntax or usage exactly, typing "help foo" at the command prompt gives you a summary of the command. If needed, listed below are some basic Matlab tutorials external to the documentation:
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Final Project Samples
Jonathan Rodean and Gregory Souza composed a CD of tracks about the things learned in AM36 as a final project. Below are a few samples in MP3 format: