Fall 2022
Instructor: Enrique Treviño
Lectures: MWF 9:00 - 9:50 pm in BR 121
Office Hours: MWF from 8am to 9am, MF from 10-11am, TR from 8:30 to 9:30am, and by appointment.
Office: Brown Hall 123
Email:
Phone Ext.: #6187
Announcements
Proofs of Desargues and Pappus in the book "A survey of classical and modern geometries" by Baragar.
No class on Friday October 7.
The following Scientific American article written by Evelyn Lamb contains the diagram of president Garfield's proof of the Pythagorean theorem and a diagram from an ancient Chinese book (probably from 1 B.C.E) that actually proves the Pythagorean theorem in two ways.
This New Yorker article written by Steven Strogatz gives a very nice background (and explanation) on Einstein's proof of the Pythagorean theorem. Strogatz wrote a wonderful series of articles in the New York Times explaining math to a general audience. It is titled Elements of Math.
Self-Explaining Booklet, is a short file with tips that can help you read proofs better.
The homework assignments can be found below:
Homework Assignments
Course Description
Selected topics from affine, Euclidean, non-Euclidean, projective, and differential geometry. Prerequisite: Mathematics 230 or permission of the instructor. (Under the old GEC, this course meets the Natural Science & Mathematics requirement.)The Four Pillars of Geometry by John Stillwell.
Topics we will cover
Grading
The course grade will be based on:
Homework 48%,
Class Participation 8%
Midterms 24% (12% each),
Final Exam 20%.
I expect you to come to every class, pay attention, and to ask questions when you have questions. Some classes will have in-class activities, when these occur, you should be working on the task at hand.
Accommodations Statement
If you are a student who needs an accommodation because of a disability or medical or psychological condition that limits your ability to fully participate in this course, please contact Kara Fifield (fifield@mx.lakeforest.edu), Director of Disability Services, to document your disability with the College and with the professor of this course. Academic accommodations should be reasonable and not alter the fundamental nature of this course. Because it can take a week or more to arrange requested accommodations, you are encouraged to establish your semester accommodations as early in the semester as possible. Accommodations usually require a medical diagnosis. Some can be significant yet temporary in nature, such as a concussion, or a sprained wrist that impacts your ability to take notes. Others can last the entire term, such as PTSD or dyslexia. If you think you might have a condition that qualifies, please make an appointment with Kara Fifield as soon as possible. Contact Kara Fifield by email or phone, fifield@mx.lakeforest.edu or 847-735-5167. For more information about services for students with disabilities at Lake Forest College, see the webpage. Students are expected to set up their own testing and notetaker accommodations. Please contact Stephanie Edgar, Coordinator of the Center for Academic Success, sedgar@mx.lakeforest.edu, for assistance.Description of instructional time and expectations:
This course meets 3 times per week for 3.0 hours per week. The course carries 1.0 course credit (equivalent to four semester credit hours). Students are expected to devote a minimum of 12 hours of total work per week (in-class time plus out-of-class work) to this course.Academic Honesty
Please read the College's information on Academic Honesty. If a student cheats in an exam, quiz or homework assignment, I will proceed with charging the student with the Academic Honesty Judicial Board. The usual (first) penalty is a 0 in the assignment on which the cheating occured plus some ethics lectures the student would take. The second penalty is usually suspension.Last modified on October 24, 2022.