MATH 527 / CSCE 561

**Meeting times**: MWF
10:10 - 11:00 AM at **LeConte (LC)
303B**.

**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**:
MWF 11:00 - 12:00 AM at LeConte
425/Sumwalt
206, or by appointment.

**Prerequisites**: MATH 242
or MATH 520.

**Learning Outcomes**: At
the end of this course students will be able to read, interpret, and use vocabulary,
symbolism, and basic definitions 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 and spline
approximation, numerical differentiation and integration, numerical solutions
of ODEs.

**Attendance**: Regular class attendance is important. A grade
penalty will be applied to any student missing five 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, or a short paper should be submitted on or before **April
20, 2009**.

**Graduate Students**:** **The graduate students attending the class
will be given some additional homework problems. Their projects will be larger
and should contain two parts, theoretical and computational. They should also
prepare a 15-minute oral presentation which they should present during the
class on April 22, 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.

**Midterm Exam**: There will be a midterm exam in a form of a test.
The tentative date of the exam is **February 16**, 2009. The problems on the
test 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, April 30 at 9:00 AM**.

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

**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.

**Web Materials**: The
authors of the textbook maintain a webpage http://rene.ma.utexas.edu/CNA/NMC6/.
In particular, they make available free software codes on the variety of
programming languages under the link *Sample Codes*.

**Important Dates**:
January 16 – Last day to drop
without **W**

February 16 – Midterm Exam

February 23 – Last day to drop without **WF**

April 4/5 – 33rd SIAM Southeastern-Atlantic Section Conference

April 20 – Deadline to submit the projects

April 22 – Graduate students presentations

April 30 – Final Exam at 9:00 AM