NUMERICAL ANALYSIS II

MATH/CSC 4620/6620 SYLLABUS

SPRING 2006

 

 

Comp # 11440/11453, MW 5:30 pm – 6:45 pm, 315-GCB

Instructor:         Alexandra Smirnova

Office:             702-College of Education

Phone:              (404) 651-0641

E-mail:             smirn@mathstat.gsu.edu

Web page:           http://www.mathstat.gsu.edu/~matabs/   

Office hours:       MW 4:30 pm – 5:15 pm, TR 11:00 am – 11:45 am

 

Description: Matlab programming; Numerical techniques for ordinary differential equations: implicit methods and predictor-corrector schemes, Runge-Kutta methods, the Adams Families; Gaussian Elimination for linear systems, the LU factorization, stability, SPD matrices and Cholesky Decomposition, iterative methods for linear and nonlinear systems; Finite difference methods for partial differential equations.

 

Prerequisite: Grade of C or higher in Math 2215 Multivariate Calculus or equivalent and the ability to program in a high-level language.

 

Textbook: Numerical Analysis, Burden and Faires, 8th edition.

 

Administrative Drop Policy: During the first two weeks of the semester the Department of Mathematics and Statistics checks the computer records to determine whether or not each student has met the prerequisites for the course. If you do not have the prerequisites, please inform your instructor and change to another course right away. If our computer search finds that you do not have the prerequisite, you must drop this course or you will be dropped automatically. If you do not attend the class during the first two weeks you will be administratively dropped.

 

Procedures: Class meets twice a week. Taking good notes during the class is of paramount importance. Homework will be assigned in each class. After the class read the book, read your notes and do as many of the homework problems as you can prior to the next class. Try to get the remaining problems explained in the next class. You are responsible for all material covered in class, whether or not you attended this class.

 

Quizzes: There will be 5 quizzes during the semester. The purpose of these quizzes is to keep you up-to-date in the course. Usually you will have a quiz in the end of a class. Make-up quizzes will not be given, except when special conditions exist.

 

Examinations: There will be 2 hourly exams and the final exam (two hours). All hourly exams will be taken during the regular class time and in the regular classroom. Books and notes will not be allowed on all tests. There will be no make-up exams except in an extreme verifiable emergency. Absence from the final exam will result in a grade of F for the course unless arrangements are made PRIOR to its administration. The tests and the final for graduate students (Math/CSC 6620) will contain additional problems.

 

Exam dates: February 22 and April 12, Final Exam: Monday, May 8, 5:00 pm – 7:00 pm.

 

Computer projects: There will be 2 computer projects during the semester. Both projects will be given in MATLAB, which is a simple and powerful mathematical package. Brief MATLAB tutorials are available on my web page. MATLAB is installed on PC's at Computer Lab on the 7th floor of the College of Education building (Department of Mathematics and Statistics). Deadlines for the computer projects will be announced in class. Late projects will not be graded.

 

Grading: There will be a total of 530 points possible for this course. The points are distributed as follows

 

Five quizzes

50 = 5 * 10

Two exams

160 = 2 * 80

Two computer projects

140 = 2 * 70

Final exam

150

Extra Credit

30

 

Having 350 points or more BEFORE the final exam, will result in a grade of A in this course, and being excused from the final. Otherwise you must take the final exam and your total accumulated points will determine your final letter grade

 

A                 450-530

B                 400-449

C                 350-399

D                 300-349

F                   0-299

 

Withdrawal: Friday, March 3, is the last day to withdraw and receive a possible grade of W except for hardship withdrawal. A grade of W will only be assigned to a withdrawing student, if the student is passing at the time of withdrawal.

 

Academic Dishonesty: Plagiarism and cheating are serious offenses and will be punished by the score of 0 for the exam or for the computer project. Repeated cheating will result in a grade F for the course.

 

Studying: You must work on this course consistently. The pace is hectic and allowing yourself to fall behind will end in disaster.

 

This course syllabus provides a general plan for the course; deviations may be necessary.

 

GOOD LUCK!