| Instructor: | Steven
J. Leon (homepage) Office: Group I-394A Telephone: (508) 999-8320 Email: sleon@umassd.edu Office hours: Tu,Wed,Th 2:00-3:15 or by appointment |
| Class
M-files: |
We will use MATLAB in this class. A collection nalib of MATLAB M-files has been developed for MTH 361 and 362 by Steven J. Leon. Download nalib. |
| Textbook: | Numerical Analysis, 8th edition by Burden and Faires |
| Exams: | There will be two exams worth 100 points each. The final exam is worth 200 points. No makeups unless you have a note from your doctor. The exams will be closed book. You are not allowed to use notes during the exam. Hand calculators may be used for arithmetic and to check your answers, but you must show all of your work in solving exam problems. If you have a correct answer to a problem, but have not shown your work, you may not receive any credit for the problem. Academic dishonesty includes using crib notes, copying from another student, |
| Assignments: | Assignments will be in the form of classroom handouts which may include some exercises from the textbook. Some assignments may be in the form of computing projects using MATLAB. Assignments will be handed and graded by the instructor. If an assignment is handed in late, points will be deducted from the grade on the assignment. If you have trouble working any of the homework problems you should ask about them in class or see the instructor for help. |
| Grading: | Exams
are not graded on a curve. Your grade will be based on how well
you score on semester exams, the final exam, and homework
assignments. |
| Academic integrity: | Academic dishonesty will not be tolerated. Any student caught cheating on an exam will receive an F for the course and a note will be sent to the Dean regarding the incident. This could result in the expulsion of the student from the university. Academic dishonesty includes using crib notes, copying from another student, or letting another student copy from you during an exam. |
| Course Topics | |
|
Unit 1:
|
Review of topics from MTH 361 with additional material not covered in the textbook |
|---|---|
| 1 - Conditioning and Stabilty | |
| 2 - Nonlinear equations | |
| 3 - Interpolation | |
| 4 - Quadrature | |
| Unit 2: |
Linear Systems of Equations |
| 1 - Gaussian Elimination and LU | |
| 2 - Pivoting | |
| 3 - Matrix Norms and Condition Numbers | |
|
Exam:
|
Exam covering the above topics from Units 1 and 2 |
|
Unit 3:
|
Initial Value Problems |
| 1 - Euler's Method | |
| 2 - Runge-Kutta Methods | |
| 3 - Adaptive Runge-Kutta | |
| 4 - Multistep Methods | |
| 5 - Predictor-Corrector Methods | |
| 6 - Difference Equations | |
| 7 - Weak and Strong Stability | |
| 8 - Regions of Absolute Stability | |
| 9 - Stiff Equations | |
|
Exam 2:
|
Exam covering Unit 3 |
|
Additional topic:
|
If time allows, an additional topic to be announced later. Possibly a 50 point exam on this topic. |
| Final Exam | Comprehensive exam over all topics covered during the semester |