### Math 403 Euclidean geometry, Spring 2019.

Textbook: Philippe Tondeur, Vectors and transformations in plane geometry.
Class time and location: MWF 11:00am-11:50am, 445 Altgeld Hall.
Professor: Igor Mineyev, 243 Illini Hall. Email is not very efficient for discussions. Please talk to me before/during/after classes and come to office hours.
Office hours: Monday and Wednesday 2:00pm-2:50pm.

Homework will be posted here. If a newer version does not show up, restart your browser. We will roughly follow the textbook.

Exams and grades. Do not miss the exams. There will be three midterm exams at the regular class time:

• Exam 1, Friday, February 15, 2019. Before the curve, the median score for exam 1 was 74.5, the mean was 72.0, and the standard deviation was 16.1.
• Exam 2, Friday, March 15, 2019. Median 94, mean 88.1, stdev 12.8.
• Exam 3, Friday, April 19, 2019. Median 93.5, mean 88.5, stdev 19.7.
• The final exam is at 7:00-10:00 p.m., Thursday, May 9, 2019, in the regular classroom, as required by the Final Exam Schedule.
The average of the two highest-score midterm exams will count as 25%, the homework 25%, the project 20%, and the final exam 30%. One lowest midterm exam and two lowest homework assignments will be dropped at the end of the semester to allow for emergency situations. Do not miss classes, exams or homework. If you miss seven or more classes during the semester (counting regular classes, midterms, and the final exam), a failing grade will be assigned at the end of the course regardless of performance during the semester. To see your current score for the class, click on the "Score Reports" link on the left in www.math.illinois.edu/Classes/, then enter your password. The expression like ex1:85/100 means that your score for exam 1 was 85 out of 100. If a curve is used for this exam, the expression like ex1:85<86/100 will mean that your score after the curve is 86. The scores between 80 and 90 correspond to B-, B, B+, therefore the score 86 corresponds to the grade B. The dropped assignments and exams will be marked with "**" at the end of the semester.

The project. The students will be randomly split into groups to work on a project, to write a report, and to present it to the class in the second half of the semester. Select the topic of your project early, and start working on it now. Take initiative, discuss it with me and others, if you have any questions. The main requirements for the project:

• Most importantly, it must be interesting. Figure out what interests you, and make it interesting to others.
• It should be generally related to the course, for example, some part of general geometry, group theory, topology, etc.
• It should be something that you did not know before taking this course.
• The presentation should have mathematical content: concepts, statements, proofs.
• Type it up, or write neatly, provide pictures, diagrams, graphs, formulas, etc, whichever is needed. Include participant names, title. Hand the project to me. It also might be a good idea to provide copies to other students in the class during your presentation.
• Organize your thoughts and ideas in advance in order to present the project in class, since the time will be limited. It is a good idea to run a practice presentation with your group in advance to check how much time it takes. Consider making the presentation interesting and inspiring.