MATH 708

**Meeting times**: TTh 5:00
- 6:15 PM at **LeConte (LC)
310**.

**Instructor**: Dr**. Peter
G. Binev**
http://www.math.sc.edu/~binev/

e-mail: binev@math.sc.edu)

phones: 576-6269 (at LC
425) *or* 576-6304 (at SUM
206H)

**Office hours**:
TTH 1:00 - 2:30 PM at LeConte
425/Sumwalt
206, or by appointment.

**Prerequisites**: Math 554
or equivalent upper level undergraduate course in Real Analysis.

**Learning Outcomes**: At
the end of this course students will be able to read, interpret, use
vocabulary, symbolism, and basic definitions and theorems from Numerical
Analysis. The students will be able to use facts, formulas, and techniques
learned in this course to apply algorithms and theorems to find numerical
solutions and bounds on their errors to various types of problems including
root finding, polynomial interpolation and approximation, fast Fourier
transform, numerical differentiation and integration, and spline approximation.

**Attendance**: Regular class attendance is important. A grade
penalty will be applied to any student missing three or more classes (10%)
during the semester. The "10 percent rule" stated above applies to
both excused and unexcused absences. Students who anticipate potential
excessive absences due to participation in permissible events as described in
the USC Academic Bulletins (http://www.sc.edu/bulletin/ugrad/acadregs.html#class
atten.) should receive prior approval from the instructor to potentially
avoid such penalty.

**Cell Phones**: All cell phones ** must be turned off**
during the class.

**Homework**: A few homework problems will be assigned each class.
Be sure to solve and write these problems __before the next class__. Some solutions will be collected (with or without
preliminary notice).

**Projects**:** **Every
student has to choose a project motivated by the computational or theoretical
problems discussed in the course. Several possible themes for the projects will
be suggested by the instructor in the length of the course. The project in a
form of a poster, slides/presentation, or a short paper should be submitted on
or before **November 24**, 2009.

**Discussions**: The homework and the projects will be discussed in
class. The participation in the discussions will be taken into account as part
of the homework grade.

**Exams**: There will be two exams both in a form of a test. The tentative date
for the midterm exam is **September 29**, 2009. The tentative date for the
second exam is **November 10**, 2009. The problems on the tests will be
similar to the ones from the homework and the discussions in class.

**Final Exam**: The final exam in a form of a test will take place
on **Thursday, December 10 at 5:30 PM**.

**Grading**: The final grade will be determined from the homework (25%), the exams
(30%), the project (20%), and the final (25%).

**Academic Dishonesty**: Cheating and plagiarism
will not be allowed. The University of South Carolina has clearly articulated
its policy governing academic integrity and students are encouraged to
carefully review the policy on the Honor Code in the Carolina Community (see http://www.jour.sc.edu/pages/academicintegrity/policies.html).

**ADA**: If you have special needs as addressed by the
Americans with Disabilities Act and need any assistance, please notify the
instructor immediately.

**Important Dates**:

August 26 Last day to drop without **W**

September 29 Midterm Exam

October 1 Last day to drop without **WF**

November 10 Second Exam

November 24 Deadline to submit the projects

December 10 Final Exam at 5:30 PM