Math 335A
Numerical Analysis
Spring, 2009 Syllabus


Course Topics.   This is an introductory course to the use of computing to solve scientific and engineering problems. In it we will study machine representation of numbers, round-off and truncation error, the order of algorithms (a measure of their speed on large-scale calculations), finding roots of equations, numerical solution of linear systems of equations, interpolation, methods of numerical differentiation and integration, and methods for solving differential equations (initial and boundary value problems). As time allows, we may discuss least squares approximations and/or numerical methods for optimization. Our textbook, of which we will cover the majority of Chapters 1, 2, 3, 4, 5, 6, 9, 10, 11 and 12, is An Introduction to Numerical Methods: A MATLAB Approach by Kharab and Guenther (Chapman & Hall/CRC, 2006).

Course Objectives.   Among the many objectives of this course, some of the most important are

Software.   I will be using OCTAVE, a powerful software package for numerical computation, for most classroom demonstrations and programs that I disseminate for student use. OCTAVE is patterned quite closely after MATLAB, an industry standard package—many programs written for one will run seamlessly in the other—but (contrary to MATLAB) is open-source (so available for free under the GNU public license) and available for the three major platforms: Mac OS, Linux and Microsoft Windows. Nevertheless, Calvin has MATLAB available both in the mathematics and engineering computer labs, and you are welcome to use it unless an assignment explicitly excludes it as an option. Should you prefer it, despite the preference expressed in the title of the textbook, you may also carry out computing exercises using C/C++, again except in cases where the assignment specifically excludes it.

Evaluations.   Each of the following will be components of your overall grade: assignments (graded for correctness), exams (probably three—dates to be determined), and a cumulative final.

Homework will be assigned on a daily basis and usually collected twice per week. I will try to get it marked in a timely fashion, at which time I will place it in a folder marked “graded homework” in the box outside my office where you may pick it up at your convenience. There is a corresponding “new homework” folder, in which you may place homework that is to be collected that day. I consider it late, and will not accept it, if I have graded those sets which were submitted on time and made them available for pickup.

At semester's end, I will compare your grade on the final exam with what you have received on the in-class exams. If the final is better, then I will replace the worst of these with the final exam grade.

Academic Integrity.   Concerning homework, you may borrow someone's idea for solving a problem, but cite your source (a classmate, peer, book—provide the usual bibliographic information, website—provide the url, etc.). All assignments (except for projects specifically assigned in groups) are to be written up separately on your own, using your own words. Give as much attention to presenting your solutions in a coherent manner (using mathematical symbols as part of your sentence structure) as you give to actually solving problems, as it is the explanation of each problem that is graded (not simply the answer itself). Handing in another's writeup of any part of an assignment will be considered an instance of academic dishonesty (See Section 4.2.8 of the Faculty Handbook.), resulting in a zero for the entire assignment.

If any part of an exam write-up is not your own, or is the result of unauthorized access to information stored anywhere in any form, the result on the first instance will be a score of zero. A second occurrence will result in automatic failure of the course.

Contacting me.   My office is NH 281. If you are having trouble in the course — if you do not understand something important or have some special circumstance that impedes your performance — see me about it right away. Do not put things off. The hours I am intentionally in my office for meeting with students are posted on my homepage, as they are subject to change during the semester. If we cannot hook up at one of these times, feel free to talk with me about an appointed time to meet, or swing by my office and see if I am available to help.

I may be reached by phone at x66856, but a better way to reach me for a non-technical question is by email. If you require my approval for something, do not consider having left a message for me as equivalent to having obtained that approval.

Accommodations.   Reasonable academic accomodations will be made for individuals with documented disabilities. Any student who this concerns should notify one of the Coordinators for Services for Students with Disabilities located in the Student Academic Services office, HH 455. That student should also meet with me during the first two weeks of the semester to discuss academic accomodations.

Exceptions.   I reserve the right to make changes or exceptions to course policies — including those described in this document — either for the entire class or for specific individuals. The ultimate goal in this course is learning, and formal requirements should not unnecessarily stand in the way of that. Thus, if you think that any of the conditions of the course are interfering with learning, please speak with me about this, and we will see what can be done.


This page maintained by:
Thomas L. Scofield
Department of Mathematics and Statistics
Calvin College

Last Modified: Monday, 31-Aug-2009 15:18:00 EDT