MATH 4013 –5013, Spring 2006.

Instructor: Dr. A. Boumenir

Location: Thursday 5:30-8:00, Boyd 302.

Office: Boyd 321

Office Hours: Monday, Wednesday, Friday 12:00-14-50,

Thursday 4:30-5:30 and by appointment

Phone: 678-839-4131

Email: boumenir@westga.edu

Text: Numerical Analysis, by Burden and Faires, 8^th Ed, (2005), Thomson.

Prerequisite: MATH 1634

Objective: The practices and pitfalls of numerical computation. Topics include floating point representations; precision, accuracy, and error; numerical solution techniques for various types of problems; root finding, fixed point, interpolation, numerical differentiation and integration. We shall cover the first four chapter of the text.

Computer labs: Will be announced and will use Maple V10.

Tests: There will be three in class tests, 100 points each, February 16^th, March 30^th

and April 27^th .

Quizzes: A weekly quiz/hw will be given and will mainly cover questions from the homework. Each quiz counts 20 points and the best 10 are counted towards your final grade.

Final: Thursday 4^th May, from 5:00 to 7:00.

W Deadline: March 3^rd is the last day to withdraw with grade of W.

Attendance: 8 absences lead to WF.

Evaluation: Tests= 300 points, Quizzes/Hw= 200 points, Final= 200 points,

Grading: 700-630: A, 629-560: B, 559-490: C, 489-420: D, Below 420: F.

Learning Outcomes:

· The student will be able to understand the error involved in numerical answers. (L1)

· The student will be able to find the numerical solution of nonlinear equations f(x) = 0.

· The student will understand, be able to interpolate and fit a curve. (L8)

· The student will be able to find the set a fixed point iteration to solve equations f(x) = 0.

· The student will be able to numerically differentiate a function. (L8)

· The student will be able to numerically integrate a function. (L8)

· The student will be able to apply the previous numerical techniques to real-world problems. (L9)