Elementary Numerical Analysis I
Math 351, CRN 137179
Fall, 2009
Lecture: MWF, 14:00-14:50, 103 Peterson
Instructor: Yuan Xu, Office:
Deady 11 B, Telephone: 346-4729,
e-mail:
yuan@uoregon.edu .
Office Hours: MWF 11:00-12:00 or by appointment.
Textbook
Course description
Numerical analysis studies methods and algorithms for mathematical
computation. This course is the first half of a two term sequence.
We will cover most of the Chapters 1-6 of the textbook. Topics include:
approximations by Taylor series, representation of numbers in different
bases, loss of significance, methods for locating roots of equations,
polynomial interpolation, and numerical integration.
It will certainly be a plus if you have some skill of writting computer
program. However, the emphasis is on the mathematical aspects of the
algorithms rather than on the computer language used to implement them.
We will use Mathematica to handle examples.
Mathematica
For the in-class computer demonstrations we will use Mathematica , a
powerful computer program for symbolic and numerical mathematical
computations. You may also want to use it for your homework and project.
Mathematica is installed in most of the computer labs on campus.
You can also purchase Student Edition of Mathematica at the UO Bookstore.
If you want to learn mathematica, you can start from the following notebook.
Here are a few Mathematica notebooks related to the course that you can use.
More will be posted later in the term.
Homework
There will be a homework assignment for each week. You can check the
assignments here. Homework will be collected each Wednesday in class
on the material of the previous week. Late homework will not be accepted.
Your lowest homework score will be dropped. It is very important to keep up
with your homework. Start it early, do not wait until the night before
you have to turn it in.
Project
Part of your grade will be based on a programming or research project due
on the last day of class. Possible projects include implementing the
algorithms discussed in class in your favorite programming language, or
researching a numerical analysis topic. A list of suggested projects will
be posted after the midterm.
Exams
There will be one midterm exam in class on Wednesday, November 4. If you must
miss this exam due to extraordinary circumstances, you must get my permission
and schedule a make-up exam in advance. The final exam is scheduled for
Thursday, December 10 at 15:15 in 103 Peterson.
Grade
Your course grade will be based on your homework, project, midterm and final.
| Homework: | 20% |
| Project: | 20% |
| Midterm Exam: | 30% |
| Final Exam: | 30% |
Incomplete
Incomplete are only awarded in the Mathematics Department when two criteria
have been satisfied: first, a student must have a passing grade at the time
the I is assigned; secondly, some work could not be completed due to
extenuating circumstances (illness, auto accident, etc.). Under no
circumstances will an I be awarded as a substitute for a
W, D or
F/N . If you find yourself in trouble, drop the course!
Yuan Xu
Department of Mathematics
University of Oregon, Eugene OR 97403-1222.
Phone 346-4729
Email: < yuan@math.uoregon.edu
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