SYLLABUS
MATH 13
ORDINARY DIFFERENTIAL EQUATIONS
Ordinary Differential Equations, Math 13, will have a new registration code each time it is offered. Its meeting times and places will vary from term to term. Consult the current schedule of classes for this information.
TEXT
The text and use of software will be determined by the instructor.
TOPICS
The
subjects to be covered in the course are roughly the following.
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Fundamental Principle:
f ’=0 => f =constant |
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Linear Equations |
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Separable Equations |
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Exact Equations |
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Integrating Factors |
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Homogeneous Equations |
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Existence and Uniqueness Theorem |
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§2.11 example, and analytic conditions |
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Constant Coefficients |
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Non-homogeneity |
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Undetermined Coefficients |
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Variations of Parameters |
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Series Solutions |
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Eigenvalues and Eigenvectors |
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Matrix Methods, Diagonalization
and Canonical Form |
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Numerical Methods |
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Runge-Kutta |
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Stability |
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GENERAL
INFORMATION
The only known way to learn the subject is to do problems. A great deal of your time will be devoted to practice and discussion of problems, so there should be ample time to deal with difficulties arising in your studies. You should feel free to ask anyone for help, or work with your classmates, on assignments. Reasonable behavior that will help you learn the subject is certainly acceptable.
In general it will be helpful to have several writing utensils, a calculator and scratch paper handy as you work on this material. You will want to have a file, folder, or notebook in which you keep all of your notes. Much of this can be kept on computers, and you should also have a file on a hard drive and some sort of memory storage device (ZIP disc, memory stick, or some such) on which you keep all of your class related material.
Any feedback you have regarding the course will be welcome and deeply appreciated. Please feel encouraged to comment (anonymously or otherwise, as you please). And certainly at all times feel free to ask questions regarding either the structure of the class or the material being covered.
ATTENDANCE
You are not required to show up for class. Nevertheless, attendance will be recorded daily for administrative purposes. You are responsible for the work, and if you do not attend the responsibility to cover missed material is yours.
EXAM
INFORMATION
A final exam will be given at a time set by the college. Midterm arrangements will be made by the instructor.
HOMEWORK
SUBMISSION
Homework arrangements will be made by the instructor.
GRADING
Grading arrangements will be made by the instructor.