MODERN GEOMETRY
MATH W310A Spring 2012
Benedictine University
Contents:
Instructor: Dr. Timothy D. Comar 
Location: KN 164 

Office: Birck 128 

Phone: 829  6555 
Time: Monday, Wednesday: 11:00 a.m. 12:15 p.m. 

Email: tcomar@ben.edu 

Web Site: http://www1.ben.edu/faculty/tcomar/index.htm D2L login: https://ben.desire2learn.com/ 
Office Hours:


Textbooks: D. Henderson and D. Taimina, Experiencing Geometry: Euclidean and
NonEuclidean with History, , 3e, Pearson Prentice Hall, 2005. recommended: C. A. Gorini, ed., Geometry At Work: Papers in Applied Geometry, MAA Notes Number 53, The Mathematical Association of America, 2000. 

Geometry is a very exciting
area of current mathematics. In this
course, we begin with some explorations of our intuition of Euclidean geometry
and use these as a springboard to consider other important geometrical systems
that occur in modern mathematics. In
particular, we will consider spherical geometry and hyperbolic
geometryarguably the most rich and beautiful nonEuclidean geometry.
This course is a problembased
course in which we will explore, discover, and develop concepts through
experimentation and discussion. Your
tools for discovery may include paper, pencil, pen, colored markers, string,
modeling clay, scissors, compass, ruler, yarn, and dynamic geometry software
such as Cinderella or The Geometer’s Sketchpad.
By the end of this course,
you should be expected to understand and appreciate different geometrical
systems, develop the ability to understand and construct a correct geometric
argument, and develop an appreciation of how geometry relates to other areas in
mathematics and in other disciplines.
ISBE Math Content Area Standards: 1C, 2A, 2B, 2C, 3A, 3B, 3C, 4D, 4E, 4F, 4G, 5A, 5B, 5C, 5D, 9B, 9C2, 9C3, 9E4, 9E8
IDEA Objectives:
 Learning fundamental principles, generalizations, or theories. (Essential)
 Learning to apply course material (to improve thinking, problem solving, and decisions). (Essential)
Expectations:
You are expected to work on
each problem until you obtain a complete solution. This may require several revisions of your
work. Please expect some frustration as
you proceed through the course but even greater satisfaction once you have
correctly completed and understood a particular problem. You will need to spend six hours per
week outside of class on this course.
You are encouraged to work with other class members, but you should
submit your own work. Please give credit
to anyone you use as a resource. Ask
questions! If there is material with
which you are not fully comfortable, you are expected to ask questions either
during class or during office hours.
We are a community of learners working together to achieve our course goals. As such, it is incumbent upon all class members to show appropriate respect for each other. Each class member has something important to contribute to the class and should feel comfortable sharing with the class. Cell phones and pagers must be turned off. Inappropriate and disrespectful behavior including cell phone usage will result in dismissal from the class for the remainder of the class period.
Students are expected to use Blackboard for all course communications, accessing notes and course information, and the completion of certain assignments as indicated in this syllabus. Students will be introduced to the dynamic geometry software programs The Geometer's Sketchpad and Cinderella. These programs will be used in class for demonstrations Students will use these programs for the homework and course projects as needed, Mathematical typesetting software such as Mathtype, Latex, Scientific Word, or Microsoft Word with the Microsoft Equation Editor is strongly encouraged for homework submissions and is required for the written paper.
Writing Intensive Requirement:
This course is a Writing Intensive course. The requirements for a Writing Intensive course include at least twelve written pages and the submission of rough drafts, for which comments will be provided for revision. There will also be an opportunity for peer review as well. This twelve page minimum will be achieved through the written paper and regular homework submissions.
Homework 
70% 
Oral
Presentation 
15% 
Written
Paper 
15% 
The grading scale is 90% for A, 80% for B, 70% for C, and 60% for a D. It is the student’s responsibility to seek clarification of the course requirements and evaluation policy.
There
will be no exams in this course. You
will be evaluated primarily on the quality and correctness of your homework
solutions. You will have the opportunity
to resubmit homework until the instructor is satisfied with the quality, clarity,
and correctness of the solution. By
the nature of the problem, you may not have a chance to complete work on or
address all problems or questions posed in class. In order to earn ANY credit
on a particular homework assignment, you first submission must be submitted
within two weeks of the date listed on the syllabus.
Studying mathematics is a social process. Much benefit can be gained by sharing insights and by struggling through problems with your peers. Learn to work with each other and learn from each other. Some activities may require followup work and rewriting outside of class. You are strongly encouraged to study and work with other class members. You are also strongly encouraged to consult Dr. Comar outside of the class periods during office hours, at the course web site, or via email at tcomar@ben.edu.
This assignment is designed to encourage you to explore a geometric or topological topic that is not addressed directly by the class discussion. You may explore how geometry may be used outside the classroom, create an interactive demonstration or activity using dynamic geometry software, or study a geometric topic in greater depth. This could be the start of work that could lead to independent study, research, graduate school! Enjoy! You will present your work in a fifteenminute oral presentation in class. You will be required to present your work EXTERNALLY at the ISMAA Annual Meeting on March 30March 31 at Illinois State University or the ACCA Student Symposium on April 14 at Elmhurst College.
This assignment is the written portion of the project which you present to the class in your oral presentation. This will be collected at the beginning of last day of this course on Wednesday, May 2, 2012.. The rough draft will be due in class on Monday, April 2, 2012 and will be returned to you with comments. You will be expected to write rigorous mathematical arguments and provide further details and background that can be expected in the fifteenminute presentation. Your paper should be written using appropriate mathematical typesetting software such as Mathtype, Latex, Scientific Word, or Microsoft Word with the Microsoft Equation Editor. Figures from The Geometer's Sketchpad, Cinderella, or Derive should be included as needed. Topics for this paper include topics in the texts not otherwise addressed in class and other topics from geometry, differential geometry, and topology.
Absence due to documented illness, participation in Benedictine University athletic activities, religious observance, or other extenuating circumstances will be excused. It is your responsibility to inform Dr. Comar in the event of such absences. Class attendance is very important. Others will depend on you to be to participate in group exercises. It is incumbent upon you to obtain class notes and updated assignments for missed classes. Tardiness will interfere with your time to complete homework quizzes and exams. No student shall be admitted fifteen minutes after the scheduled classtime.
The search for truth and the dissemination of knowledge are the central missions of a university. Benedictine University pursues these missions in an environment guided by our Roman Catholic tradition and our Benedictine heritage. Integrity and honesty are therefore expected of all members of the University community, including students, faculty members, administration, and staff. Actions such as cheating, plagiarism, collusion, fabrication, forgery, falsification, destruction, multiple submission, solicitation, and misrepresentation, are violations of these expectations and constitute unacceptable behavior in the University community. The penalties for such actions can range from a private verbal warning, all the way to expulsion from the University. The University's Academic Honesty Policy is available at http://www.ben.edu/AHP , and students are expected to read it. Acts of any sort of academic dishonesty will not be tolerated. All instances will be pursued. The first case of any academic dishonesty will result in a grade of zero for the assignment. A second case will result in failure of the course. Any incident of academic honesty on the final exam will result in failure of the course.
Your name should appear on all of your submissions of your work. If collaboration is allowed, you must state with whom you have collaborated. You are responsible for understanding any authorized collaboriation policies on specific assignments. You must also properly reference any other print, electronic, or human resource that you consult.
Academic
Accommodations For
Religious Obligations (AAFRO)
A student whose religious
obligation conflicts with a course requirement may request an academic
accommodation from the instructor. Students must make such requests in writing
by the end of the first week of the class.
One aspect of being a member of a community of scholars is to show respect for others by the way you behave. One way of showing respect for others in the educational community is to do your part to create or maintain an environment that is conducive to learning. That being said, allowing your cell phone to ring in class is completely inappropriate because it distracts your classmates and thus degrades their overall classroom experience. For the sake of your classmates, you are expected to turn off your cell phone or set it to mute/silence BEFORE you enter classevery class. Furthermore, if you use your cell phone in any manner during class (e.g. text messaging, games, etc.), you will be dismissed from class and will forfeit any points you might have earned in the remainder of the period. If you use your cell phone in any manner during a test or quiz, you will receive a zero for that test or quiz. (This policy also applies to pagers, iPODs, BlackBerrys, PDAs, Treos, MP3 players and all other electronic communication and/or data storage devices.)
Americans with Disabilities Act (ADA):
If you have a documented learning, psychological, or physical disability, you may be eligible for reasonable academic accommodations or services. To request accommodations or services, contact Student Success Center, Krasa 012, (630) 8296340 All students are expected to fulfill essential course requirements. The University will not waive any essential skill or requirement of a course or degree program.
Final Drop Date:April 15, 2012.
This syllabus is subject to change. Any changes will be communicated to all class members electronically.
Contact Dr. Comar: tcomar@ben.edu
Benedictine
University Homepage  Department of
Mathematics  Faculty
Profiles
