Math 231A
Differential Equations
Fall, 2003

Syllabus


Welcome

Welcome to a first course in Differential Equations (DEs). While this subject is quite old (Sir Isaac Newton worked on them), it remains an active area of mathematical study and research. An important reason for this is that it is rich with applications. If there is a process that changes continuously with time, then that process might possibly be modeled with a differential equation and, to the extent that the chosen model accurately reflects the physical situation, it can be used to predict the results of that process into the future. Hence while DEs is a mathematical field, it is a domain inhabited by scientists and engineers of all types.

Course Objectives

Class Meetings

Our class meets Mon., Wed., Thurs. and Fri. at 8:00-8:50 am. Generally our meeting place is NH 259, though there may be days when we meet in NH B67 (the Macintosh computer lab in the basement of North Hall).

Contacting the Professor

My office is NH 281. The hours I am intentionally in my office for student questions are posted on my homepage, and 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 in the hopes that I am available to help. If you feel yourself falling behind in the class, it is very important not to put things off, but to seek help right away. Do not wait until a time close to an exam before speaking with me.

I may be reached by phone at x66856, but a better way to reach me 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.

Reading your Textbook

Read carefully each section of the textbook that we cover. Reading a math book is not like reading a novel, and can be frustrating at first. For a rationale on why you should do it, and advice about how to get the most out of your reading, go to this page.

Do so either the day we cover it, or in anticipation the night before. The sections we will cover are indicated on the course calendar, which, though subject to change, is fairly reliable for about a week in advance of the current day.

Use of Technology

A good deal of computer use will be expected of you in this course. Generally speaking, daily homework assignments are available on the the web, and it is your responsibility to visit the homework page to find out what they are. While many announcements, hints, etc. may be given in class, things that cannot wait until the next class period will be sent to you as email messages. Thus, it is important that you be checking your email at least twice daily. I have requested a class email list to which you can send messages at

math231a@calvin.edu

Any mail sent to this address will be received by all members of the class (including me). You may use it as a forum for discussing assigned problems, topics that came up in class, etc.

In addition, a number of assigned problems will require the use of mathematical software. Occasionally, the package will be a useful java applet that you or the professor has found for the task at hand. More often, use of Mathematica will be assumed. While you are not prohibited from using other software --- perhaps MathCad, ODE Architect, scilab, or your own routine encoded in java or C --- your professor will make an effort only to support Mathematica.

Whatever technology you use, beware of becoming too reliant upon it. For skills which you ought to be able to do by hand, you will generally be required to demonstrate your work on exams as if you had no helpful technology on hand (despite the capabilities of your graphing calculator).

Group Work

Your write-ups for all assignments must be in your own hand and words, except when otherwise noted. This, however, does not mean you are to work in isolation. Quite to the contrary, I encourage you to come together with other members of the class to form a study group, and schedule regular meetings. I strongly believe that students can earn as much as one letter grade higher by building one another up in this fashion. Read this page for more on why I think participating in a study group is important, my vision of how it might function in order to be of most benefit to all who participate, and what pitfalls one should avoid when working with others so as to maintain personal accountability for the material.

Grades

While the final grading scale for the course will not be determined until all grades are in, it will not be any more strict than the following “straight” scale:

A = 90-100%, B = 80-89%, C = 70-79%, D = 60-69%, F = 0-59%

(with pluses and minuses assigned to scores towards the top and bottom of these ranges respectively). The following weights will be given to the various means of evaluation:

Homework 14%           Exams 57%
Participation 4% Final 25%
For the dates of exams, please consult the
course calendar.

Homework will be assigned on a daily basis and usually collected two times per week. We 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 if it has already been collected by the grader by the time you place it in the folder, so the safest thing is to hand it in at the end of class. Homework that is late may receive only 75% of the score it would have received otherwise, and that only if it is handed in before the others of the set have been returned.

Your participation grade will be determined at my discretion. You can easily earn the full credit with regular attendance, demonstrating your curiosity with questions (either on topics being discussed in class or in the text), contributions made to the email list, taking an active role in a regularly-meeting study group, preparedness for answering reading questions, etc. It is only in noting an obvious lack of these, a lack of respectful behavior in class on your behalf, your use of class time to complete homework, or some other type of problematic activity (if in this last category then I will speak with you about it) that I will begin to deduct from your participation grade.

At semester's end, I will compare your grade on the final exam with what you have received on the three in-class exams. If the final is better, then I will replace the worst of these with the final exam grade, so that the final will count as 44% (instead of 25%) of your semester grade. For students who have been present for all exams, this generally means that you may miss on a set of topics once without penalty, so long as you understand those topics thoroughly for the final exam. If you must miss an exam for reasons other than serious illness (about which you must contact your professor in advance) or another college-related involvement for which an excused absence is granted, there will be no opportunity for a make-up. In this case, the final will automatically count for 39% of your grade. Cheap airfares, early departures for vacations and the like are not valid excuses for missing an exam.

Accomodations

[an error occurred while processing this directive]

Citizenship

The type of concentration required for mathematics/statistics calls for a distraction-free environment. Please do your part to make the classroom one conducive for learning by arriving on time, not working on homework assignments during class, refraining from frivolous talk, and actively participating in in-class discussions/activities.

Please speak with me about problems or issues as they arise during the semester. I am still growing as a teacher, and if you have concerns, it is simply a matter of “building one another up” that you should raise them in an appropriate moment, preferably while adjustments may still be made that affect your class.


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

Last Modified: Monday, 26-Jul-2004 13:10:45 EDT