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: **

**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)**