MATH 4013
Numerical Analysis
Spring Semester 2005
Instructor:
Michele L. Joyner
Mathematics Department
Office: Boyd 309
Phone: 770-836-3506
E-mail: mjoyner@westga.edu
Office hours: Mon.: 11:00-12:00;
Wed.: 11:00-12:00, 2:00-3:30;
Thurs.: 10:00-12:00;
Fri.: 11:00-12:00;
and by appointment.
Course Description:
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, interpolation, differentiation, integration, systems of linear and ordinary differential equations.
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. (L8)
¨ The student will understand an be able to interpolate. (L8)
¨ The student will be able to fit a curve. (L8)
¨ 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)
Textbook:
Mathews and Fink, Numerical Methods using Matlab, Fourth Edition, Pearson/Prentice Hall, 2004.
Prerequisites:
MATH 2644 or by consent of instructor
Requirements and Grading:
¨ Exams: There will be four 50-minute in-class written tests and four in-class computational tests. Below are the tentative test dates:
Written Test 1: Wednesday, February 9
Computational Test 1: Friday, February 11
Written Test 2: Monday, March 7
Computational Test 2: Wednesday, March 9
Written Test 3: Wednesday, April 6
Computational Test 3: Friday, April 8
Written Test 4: Friday, May 6 8-9 a.m.
Computational Test 4: Friday, May 6 9-10 a.m.
¨ Homework: This is an important part of the course. There will be no homework assignments to be handed in. However, at the end of most classes you will be given a list of problems – these are the minimum that you should work. Some of these problems will be gone over in the next class session. Practice is important. You should make sure to set aside some time every class day to work problems.
¨ Grading: My grading scale is straightforward. Each test counts 12.5% each.
The final letter grade will be determined by the following scale:
A(excellent) = 90-100%
B(good) = 80-89%
C(adequate) = 70-79%
D(poor) = 60-69%
F(dismal) = 59% and below
Make-ups:
Except in extreme circumstances, any missed exam must be made up within one week of the day the exam was given. Students who miss an exam are required to notify me as close to the missed exam time as possible (the day of the exam is preferable). If I am not notified of a missed exam before the exams are returned, the student will not be allowed to make-up the exam. However, the computer lab is not normally open and therefore it may be difficult to have access to Matlab (the computing software) for a make-up exam. For any missed exam, there must be a reasonable excuse for missing the exam and the excuse must be in writing. Those students who miss an exam due to academic activities must notify me prior to the date of the exam to schedule a make-up exam.
Attendance Policy:
Students are expected to attend every class. If you miss a class for whatever reason, including academic activities, you are responsible for the material covered in the class and the assignments/announcements made during the class period
Disabilities:
Students with documented disabilities (through West Georgia’s Disability Services) will
be given all reasonable accommodations. Students must take the responsibility to make
their disability known and request academic adjustments or auxiliary aids. Adjustments
needed in relation to test-taking must be brought to the instructor's attention well in
advance of the test (at least one week prior).
Academic honesty:
Students are expected to achieve and maintain the highest standards of academic honesty
and excellence as described in the Undergraduate Catalog and Uncatalog. In short, be
responsible and do your own work. Instances of academic dishonesty will be handled
accordingly.
Other Important Dates:
Last day to withdrawal with grade of W is March 3.
Proposed Course Schedule:
Date Sections Date Sections
(M) January 10 1.2 (M) March 14 5.2
(W) January 12 1.2 (W) March 16 5.2
(F) January 14 1.3 (F) March 18 Math Day – no classes
(M) January 17 MLK Day – no classes (M) March 21 Spring Break
(W) January 19 1.3 (W) March 23 Spring Break
(F) January 21 2.1 (F) March 25 Spring Break
(M) January 24 Matlab (M) March 28 5.3
(W) January 26 2.1 (W) March 30 5.3
(F) January 28 2.2 (F) April 1 5.4
(M) January 31 2.2 (M) April 4 5.4
(W) February 2 2.3 (W) April 6 Written Test #3
(F) February 4 2.4 (F) April 8 Computational Test #3
(M) February 7 2.4 (M) April 11 6.1
(W) February 9 Written Test #1 (W) April 13 6.1
(F) February 11 Computational Test #1 (F) April 15 6.2
(M) February 14 4.1 (M) April 18 6.2
(W) February 16 4.1 (W) April 20 7.1
(F) February 18 4.2 (F) April 22 7.1
(M) February 21 4.3 (M) April 25 7.2
(W) February 23 4.3 (W) April 27 7.2
(F) February 25 4.4 (F) April 29 wrap-up/catch up
(M) February 28 4.4 (M) May 2 Review
(W) March 2 4.6
(F) March 4 4.6 (F) May 6 Written & Comp.Test #4
8-10 a.m.
(M) March 7 Written Test #2
(W) March 9 Computational Test #2
(F) March 11 5.1