Fall 1998 Monday, Wednesday 3:00-4:15, Robinson A111
Professor
Stephen G. Nash Science and Technology II, Room 121 phone: (703) 993-1678
office hours: Monday 1:30-2:30, Wednesday 4:30-5:30, or by appointment electronic mail: snash@gmu.edu fax: (703) 993-1521 (on cover sheet put: S. Nash, ORE Dept.)
Text
Ward Cheney and David Kincaid, Numerical Mathematics and Computing, 3rd edition Brooks/Cole (1994)
(Optional) The Student Edition of Matlab (version 5), Prentice-Hall
Course Summary
The objectives of this course are to:
- Understand the fundamentals of algorithm design.
- Learn how numerical methods are constructed and used for solving computational problems common in engineering and statistics.
- Become experienced and sophisticated users of numerical software.
Since this course is designed to develop computational skills, use of the computer will play an important role. There will be a number of choices of computers that you can use, and these will be discussed in the
first class. Although the computer will be used extensively, heroic computer programming will not be required.
There will be no exams, although there will be short quizzes at regular intervals. Students will be expected to complete three group projects, plus two individual projects. I will discuss
the projects in class. The results of the projects will be presented in written reports, and the quality of the reports will be a factor in grading.
Grading
- 5% Individual Project 1
- 60% Group Projects 2, 3, and 5
- 30% Individual Project 4
- 5% Quizzes
Course Schedule (tentative)
- 8/31: Basics: algorithm design and arithmetic (Chapters 1 and 2)
- 9/7: Basics (no class on Monday, 9/7; Labor Day)
- 9/14: Nonlinear equations (Chapter 3)
- 9/21: Nonlinear equations
- 9/28: Interpolation (Chapter 4)
- 10/5: Interpolation
- 10/12: Linear equations (Chapter 6); no class on Monday, 10/12 (fall break)
- 10/19: Linear equations
- 10/26: Linear equations
- 11/2: Spline functions (Chapter 7)
- 11/9: Spline functions
- 11/16: Differential equations (Chapters 8 and 9)
- 11/23: Differential equations
- 11/30: Animation and 3-D graphics
- 12/7: Animation and 3-D graphics
- 12/14: [finish up projects]
- 12/18: All course work due by 9:30am
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