Trent University, Winter 2012
Mathematics 2260H
Geometry I: Euclidean geometry
(Formerly Mathematics 309H.)
Prerequisite: 60% or higher in MATH 1005H (105H) or 1100Y (110) or 1101Y or 1350H (135H); or permission of instructor. (Excludes MATH 226H.)
Instructor | Text | Meetings | Evaluation | Content | Honour & Help | Aids | Work & Handouts
Exam Period Office Hours
Tuesday, 10 April, 11:00-13:00
Friday, 13 April, 11:00-13:00
Monday, 16 Tuesday, 17 April, 11:00-13:00
Wednesday, 18 April, 11:00-13:00
Friday, 20 April, 10:00-12:00
Pre-Exam Study Tea
Thursday, 10:00-14:00, in GCS 338.
Stefan Bilaniuk
office: GCS 337
hours: Monday 12:00-12:50, Tuesday 13:00-13:50, Wednesday 11:00-11:50, and Thursday 10:00-10:50, or by appointment, or just drop by!
phone: 705 748-1011 x7474
home phone: 705 742-7862 [Do not call between 10 p.m. and 8 a.m. unless it's an emergency.]
e-mail: sbilaniuk{at}trentu{dot}ca and stefanbilaniuk{at}cogeco{dot}com
[E-mail sent to my Trent address occasionally just vanishes. If it's important, send it to both.]
web: http://www.trentu.ca/mathematics/sb/
Geometry from Euclid to Knots, Saul Stahl, Dover Publications, Inc., 2010.
ISBN-10: 0-486-47459-3, ISBN-13: 978-0-486-47459-5.
You may also find the following to be of interest and perhaps useful:
Euclid's Elements of Geometry, in Greek, edited and translated into English by Richard Fitzpatrick, 2008.
ISBN-13: 978-0-6151-7984-1. Free e-text at: http://farside.ph.utexas.edu/euclid.html
The Foundations of Geometry, David Hilbert, translated into English by E.J.~Townshend, 1902.
Free e-text at: http://www.gutenberg.org/etext/17384
Lectures: Monday 09:00-09:50 in DNA B105, Tuesday 14:00-14:50 in GCS 105, and Thursday 09:00-09:50 in GCS 105.
Seminar: Monday 10:00-10:50 in DNA B105.
There will be at least ten weekly quizzes, at least ten weekly assignments, and a take-home final examination. Quizzes will normally be written weekly in the Thursday Tuesday lectures and last between ten and twenty minutes each. The final examination will be handed out two weeks before the end of classes ad will be due near the end of the examination period in April. (Please consult the handout Readings and Schedule for a detailed list of dates.) The work will weigh as follows in the final mark:
| Best 9 quizzes (2% each) | 18% |
| Best 9 assignments (5% each) | 45% |
| Final Examination | 37% |
Assignments will not normally be accepted after the due date. Students who miss more than one quiz or assignment for reasons beyond their control should contact the instructor as soon as possible. Note that there is no attendance requirement per se, but the consequences of missing classes are ultimately the students' responsibility to deal with.
This scheme may also be modified for individual students in exceptional circumstances, such as a lengthy absence due to illness. Any such modification will require the agreement of both the student and the instructor.
We will cover as many topics and problems as we can in the following areas of plane geometry:
The obligatory statement concerning academic integrity reads as follows:
Academic dishonesty, which includes plagiarism and cheating, is an extremely serious academic offence and carries penalties varying from a 0 grade on an assignment to expulsion from the University. Definitions, penalties, and procedures for dealing with plagiarism and cheating are set out in Trent University's Academic Integrity Policy. You have a responsibility to educate yourself - unfamiliarity with the policy is not an excuse. You are strongly encouraged to visit Trent's Academic Integrity website to learn more - www.trentu.ca/academicintegrity .
For clarity, the following guidelines will apply in MATH 2260H:
Students are permitted and encouraged to study together and to work together on the assignments, consult any books or other sources they wish, and ask anyone willing (especially the instructor!) for hints, suggestions, and help. However, students must write up all work submitted for credit entirely by themselves, giving due credit to all relevant sources of help and information. No aid may be given or received on the quizzes, except with the instructor's permission (see Aids below). The conditions for the take-home final examination will be spelled out on the examination.
In some circumstances students may also be eligible for special help or accommodation. The obligatory statement concerning access to instruction reads as follows:
It is Trent University's intent to create an inclusive learning environment. If a student has a disability and/or health consideration and feels that he/she may need accommodations to succeed in this course, the student should contact the Disability Services Office (Blackburn Hall Suite 132, 705 748-1281, disabilityservices{at}trentu{dot}ca) as soon as possible. Complete text can be found under Access to Instruction in the Academic Calendar.
For the quizzes, students may use whatever calculators they wish and an 8.5" x 11" (or A4) aid sheet with whatever they want on written on all sides of it. Mathematics software such as Maple or GeoGebra may occasionally come in handy when doing some of the assignments or to check answers when studying.
"Personal response systems" such as clickers will not be used in MATH 2260H, and we will make only minimal use of myLearningSystem/WebCT. Note that the last date to drop Winter half-courses without academic penalty is Friday, 9 March, 2012.
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Department of Mathematics
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