Timothy DeVries
Office: 4C5 David Rittenhouse Laboratory
Office Phone: (215) 573-3604
Email Address: tdevries [AT] math [dot] upenn [dot] edu

Math 170 - Ideas in Mathematics

Note: the information contained herein is tentative, and subject to change. Check this website often to keep updated with any changes.

Syllabus/Assignments

Books that have been Chosen

Note: the syllabus is tentative and will change over time.

What is mathematics? If you (like most people) think mathematics boils down solely to calculation and arithmetic, then you have only a very tiny slice of the overall picture. Even if you take this view to a higher level of abstraction — perhaps mathematics is the study of numbers? — you still only capture one field of mathematics: number theory. There are dozens more.

As a whole, mathematics is the study of patterns. These patterns can be about anything, from numbers and shapes to planetary motion, language and anything in the world exhibiting abstract patterns. In this course we will see this all first hand, by studying a sampling of the many things mathematicians do. We will grapple with the notion of infinity, the nature of truth, knowledge and provability, and the patterns that arise out of complete randomness. Unlike a traditional math course, our goal will not be to develop mathematics as a tool to accomplish set tasks. Rather, we will learn about mathematics itself, and hopefully we will grasp the wonder involved in studying the abstract.

Organizational Information

The Text(s)

Required: The Language of Mathematics: Making the invsible visible by Keith Devlin.
NOT Required: For All Practical Purposes, 7th Ed. by COMAP

The text that we will be following most closely is The Language of Mathematics. It is less than $15 online and is exceedingly well written (win win). I will be assigning readings from this book periodically (check the syllabus), and I expect that you will all have this text by the second week of classes. You can order it online.

There is also a book listed for this course: For All Practical Purposes. I may use this book as a resource for applications of the mathematics we learn, but I will never assign anything from this text. If you purchased this book, you can feel free to return it.

The Lectures

Professor: Tim DeVries
Schedule: Monday through Thursday from 1:00 - 3:10pm in room 3C8 of David Rittenhouse Laboratory.
Note: There will be a 5 minute break about halfway through each lecture.

Office Hours:

Important Dates

Last Day to Choose a Novel: Monday, July 14th, 2008.
Book Report Due: Thursday, August 7th, 2008 in class.
Final Exam: Thursday, August 14th, 2008 in class.


Policies

Exam

There will be a final exam. The date for this exam is listed above, as well as on the course syllabus.

A makeup exam will only be given under extremely rare circumstances, such as with the death of a family member. Contact me at least 24 hours in advance if such a rare event occurs. In the case of religious observances, please contact me during the first week of the summer session with the specific dates of requested absence.

No study aides (such as textbooks, notes, etc.) may be used on the final exam. You may use a non-graphing calculator on the final exam.

Book Report

You will each read a novel and write a book report on it. The novel should be chosen from this list, compiled by Professor Kasman at the College of Charleston. In choosing your novel, please make sure that the Mathematical Content has a rating of at least 2.5 / 5 (click each title and scroll down for it's ratings). You must choose your novel by the beginning of the second week of class (July 14th), and choices will be awarded on a first-ask-first-serve basis. Please email me your selections.

Guidelines: Within your book report you must make sure to answer the following questions: Your report should be about 3 to 4 pages in length, 12pt font, 1.5 spacing. You must cite your novel as one of your sources, and you are encouraged to use and cite other references.

Reports are due on Thursday, August 7th in class.

Homework

Homework will be assigned every Thursday and due the following Wednesday in class. To see each homework assignment, go the the syllabus and click on the corresponding link (assignments will be posted on the syllabus under the day on which they are assigned).

Absolutely no late homework will be accepted, regardless of the reason. If you know ahead of time that you will not be able to hand in a homework assignment on the day that it is due (e.g. in the case of a religious holiday, etc.), you should plan ahead and have the homework prepared early.

Homework must be stapled and clearly organized. Put your name and the date in a visible place, and write your answers neatly and legibly. If I can't read your solutions, I have no choice but to grade the problem set with a 0. A good strategy to employ is to write a rough draft of your homework first, carefully writing up a final draft once you have the solutions.

Readings will also be assigned periodically To see what reading has been assigned, check out the syllabus.

Grading

Your grade will be composed of: your homework grade, your book report grade, and your final exam grade weighted as follows:

Grade % of Final Grade
Homework 40%
Book Report 30%
Final Exam 30%

A note on regrades: If you feel that I have graded something in error, please see me at the end of the lecture in which the item was handed back to you to bring this to my attention. Once a grade leaves the lecture room, the grade is set.

Email

Email is to be used primarily to ask questions regarding the course itself, rather than the homework problems. I will not work out any homework problems via email: we can discuss such issues at my office hours. That said, if I receive enough emails concerning the difficulty of a particular problem, I will take note of this and discuss the problem in lecture.

Group Work

Working together on homework assignments can be a great learning experience, and can increase the efficiency with which assignments are completed. You are encouraged to work with the students from this class. However, while group work is encouraged, all involved students must write up their solutions independently. Don't copy. If I encounter any academic dishonesty (coping homework, cheating on the exam, etc.), I will bring this to the attention of the math department.


Useful Links

The Math Department homepage Lots of useful information about the math department, including faculty contact information and course information.
The Undergraduate Math homepage A repository of information for those taking undergraduate math courses.
The Tutoring Center Free peer-based tutoring services.
Math Department List of Approved Private Tutors