Instructor: Dr. Ovidiu Calin
Office #: Pray Harrold 516 F
Class Hours: Monday, Wednesday 2:00 - 3:15
Office Hours: Monday, Wednesday 3:20
I.Course description Math 341 deals with an introduction
to several types of geometries such as Euclidean and Non-Euclidean,
vectorial, complex, projective, etc. The students should learn how
to write rigorous proofs for problems in a geometric context. Some
software will be required.
the first part of the course I will review fundamental notions of
Euclidean geometry. This should cover the level of knowledge required
for the MTTC exam for the geometry section.
I will introduce more advanced concepts of geometry and trigonometry
used in the triangle and the quadrilateral geometry. This will be
followed by the hyperbolic geometry chapter. In remaining time I will
discuss about other types of geometries.
The prerequisite for Math 341 is Math 211 (Introduction to
Proofs). Math 341 deals with more elaborate proofs and it is heavily
based on proofs techniques learnt in Math 211. Students who take simultaneously
Math 211 and Math 341 usually do not perform well in both courses.
Students who did not obtained at least a C grade in Math 211 do not
perform well in Math 341. Spring semester is short and the workload
is twice as heavy as in a regular semester. Please take this into
account when schedule work or other extra academic activities. Do
not postpone your preparation until the day before the exams.
The skill of doing proofs require several hours of practice per week.
Come to class, do your homework and come to office hours to improve
At the end of the term the students are expected the following:
1.ability to write
2.ability to read proofs from a math textbook.
3. be able to use Sketchpad software to solve geometry problems.
4. have the knowledge about the basic properties of Euclidean geometry
and hyperbolic geometry.
Student evaluation will be based on the following performance
1. Correct use
of concepts, laws, formulas and principles.
2. Appropriate use of language, terminology and nomenclature.
3. Accuracy of language, calculations and simplifications.
4. Adequate interpretation of solutions to problems.
5. Presentation of tests and assignments.
College geometry by Ovidiu Calin. Appeared in the Fall 2010
at Wiley and Sons,
GEOGEBRA is software used to build interactive graphics, algebra and
It can be used from elementary school to university level. The software
required by MATH 341 can be downloaded for free from: http://www.geogebra.org/cms/
There are two midterm exams and a final exam. There are weekly quizzes
from the material presented during that week.
Midterms: February 1 and March 5.
Final: to be announced
Quizzes: every class.
Quizzes have attendance value, so they can’t be made up
are hold during the regular class sections.
There is no make
up for the exams unless you have a verifiable excuse (for instance,
being sick will require written proof from the doctor).
There is homework
provided weekly in class as practice problems. Students are free to
discuss the homework problems, get help in the Math Help Center, ask
questions in class and attend office hours. I will solve at the beginning
of each class the most challenging problems assigned in the homework.
Failing to do the weekly homework will have a negative impact on the
quizzes and exams performance. However, there is no extra credit for
doing the homework.
be taken regularly on a daily basis. Students are encouraged to attend
every single class. In the case of missing a class, it is the student
responsibility to ask for the homework and take the notes from a friend.
The final grade in this course is computed using the following weights:
Midterm I 20 %
Midterm II 20%
Final 20 %
Quizzes 40 %
The cut-offs for the final grade in this course will be calculated
A 95 %
A- 90 %
B+ 85 %
B 80 %
B- 75 %
C+ 70 %
C 65 %
D 60 %
E <60 %
Even if class attendance is not required, only few students are able
to understand the material by themselves, just reading the material.
So absences will most probably affect your grade in a negative manner.
It is your best interest to show up.
I am a full-time faculty member at Eastern Michigan University in
the Department of Mathematics and you are my primary responsibility.
I am happy to meet with you an any issue regarding class activity
and to provide help when you do not understand something we have covered.
You may see me in my office before the class. Also, my email address
More information about my teaching and research interests can be found
at my webpage http://math.acad.emich.edu/~ocalin/
Please silence your cellular phones before class and, under no circumstances
may you use a phone for any purposes during class, including text
messaging. If you need to make an emergency call, please do it after
leaving the class quietly.
Any students needed to arrange a reasonable accommodation for a documented
disability should contact Access Service Office in 203 King Hall,
1.In the event that you must miss an exam or a quiz due date for a
VALID (emergency) AND verifiable (PRESENT PROOF) I must be notified
preferably in advance by a phone call or an email message.
2.Examples of unverifiable (or inadequate) reasons: oversleeping,
going on a pleasure trip, or just not feeling like coming to class.
3.Weather-related problems that I can verify through the news media
are always valid. Do not risk your life to come to class! If school
is in session I will most likely be here, because I don't live far
away. If you commute and do not feel it is safe to travel, do not
come. Give me a call and you will not be penalized for missing the
4.Class attendance is essential. If you must miss a class, it is your
responsibility to get any handouts from the professor, notes from
a classmate, and complete the assignments. Also, the professor is
available during the office hours. Tutorial assistance is available
free of charge in the Math Student Help Center (220 Pray-Harrold).
Assistance is also available through The Learning center on campus
(Bruce T. Halle Library).
5.If you cannot attend the official office hours, I also offer office
hours by appointment.
6.Every student will be assigned a number in the first day of class,
called lucky number. Please write this number together with your name
on all homework assignments and tests for the rest of the semester.
7.When you prepare your homework please write eligibly. The grade
is given not only for correctness but also for the presentation and
8.During exams students often do mistakes and they need to erase some
parts of the solution. It is suggested to write the exam in a black
pencil and have an eraser on hand.
9.The exams are given in the second hour of the course. This leaves
time for questions in the first hour of class.
10.Welcome to Math 341!