Math 100A
Mathematics in the Contemporary World
Fall, 2007

Syllabus


Course Overview

Welcome to Math 100, Mathematics in the Contemporary World. I hope you find this course to be extraordinary. The typical fare of algebra, geometry and precalculus courses offered at many high schools are meant to prepare students intent on careers in science or technology—students who need calculus—but do little to convey what mathematics actually is, or what it is about the subject that has captured the interest of so many people over the ages. Would it surprise you to know that mathematical thinking requires the same type of creative energy required in the visual arts? Have you ever grappled with questions like “What is infinity?” “What would a 4th, 5th, or even higher dimension look like?” “What kind of universe do I live in?” Such questions naturally lead to ideas that are mathematical.

We cannot hope to completely answer these questions in one semester. We will try, however, to use mathematics to provide insights not obtainable in other ways and, at the same time, in what for many of you will be your last math course, reveal the true nature of mathematics as no course you have taken previously has. My hope is that you will find the course intellectually and philosophically challenging and, at the same time, a highly rewarding one.

Our text is “The Heart of Mathematics,” by Burger and Starbird. We will cover all or parts of Chapters 1, 2, 3, 6 and 7. Other topics will be explored as time allows.

Course Objectives

Class Meetings

Our class meets Mondays, Wednesdays and Fridays at 9 am. Unless otherwise noted, our meeting place is NH 251.

Reading your Textbook

While our textbook may be geared to a wide audience, it still contains big ideas and is not for casual reading. You must be inquisitive as you read. Here are some specific suggestions: If you are not already accustomed to reading mathematics in this fashion, be aware that it will, at least initially, increase the amount of time you devote to reading. At the same time, however, it very likely will decrease the amount of time you spend scratching your head on homework, and will assuredly help you to get more out of the course. (It will probably improve your grade as well, for those who need that incentive.)

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 once daily.

Grading

Homework (13%) will be assigned daily and, usually, collected in the next class period. On at least one occasion, the assignment will last over a period of days. You will be required to write several essays (9%), and a 6-10 page term paper (13%). In addition, there will be three in-class exams (14% apiece), and a cumulative final exam (20%). All of these, along with class participation (3%; see below) will contribute to your overall grade.

Homework will be due on the school day following the class period which follows the day the assignment was made. (So, if a set of problems is assigned on Monday, then you must hand it in by Thursday; if assigned on a Wednesday, your work is due on Monday.) You may submit it to me in class before the due date, or place it in the MATH 100 New Homework folder in the box outside my door at any time up until it is picked up by the grader, who will not pick it up before 3 pm on the due date. Homework submitted after the set has been taken will be considered late and not accepted. Homework will be graded for correctness, and returned to the Graded Homework outside my office, where you may pick it up at your leisure. While some class time may be spent discussing problems before they are due, you should expect to need to collaborate (see the section on group work below) with classmates and/or seek out the professor anywhere from occasionally to frequently.

You can easily earn the full credit on the participation part of your grade by attending class regularly (and, of course, being alert) with book, notes, and any other relevant material in hand, demonstrating your curiosity with questions (either on topics being discussed in class or in the text), taking an active role in a regularly-meeting study group, 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.

You are expected to take exams on the day they are given. If extraordinary circumstances arise (health problems, for example), speak to me beforehand. Cheap airfares, early departures for vacations and the like are not valid excuses for missing an exam at its scheduled date and time.

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.

Contacting the Professor

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.

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: Tuesday, 28-Aug-2007 23:50:48 EDT