MATH 3372: MODERN
GEOMETRY, FALL, 2004
Section 01: HHH 310, MWF
10:00-10:50 Course ID (CRN #): 8072
INSTRUCTOR
Yi Wang, Ph.D., Assistant Professor
Department of Mathematics
Room 315, HHH, Fairmont State University
Email:
ywang@fairmontstate.edu
Homepage:
http://www.fairmontstate.edu/users/ywang/
Phone: 304-367-4621
Office Hours: 12:00-1:00, M,W,F
10:00-11:00 Tuesday 11:00-12:00, Thursday (by appointment)
Welcome to Math
3372, my name is Yi Wang, and I will be your instructor for this course. I
wish by our joint effort, all of you will succeed this course. We will use WEB
CT mainly for communication and grade book in this course. Another good
resource for this course is my homepage, which can be found at
http://www.fairmontstate.edu/users/ywang/. In general, you may consider
my office an “open door”, and I strongly recommend that you come and see me if
you are having any trouble in class (or if you find that you are not being
challenged enough). Come by…I enjoy seeing my students.
COURSE DESCRIPTION:
A Brief review of informal Euclidean Geometry, including areas and volumes. A
formal development of Euclidean geometry utilizing concepts such as incidence,
convexity separation, distance functions, angular measurement functions. Other
geometric topics such as topology, non-Euclidean geometry, finite geometries,
projective geometry and transformational geometry are briefly introduced.
3 Credits (3 lect/pres, 0
lab, 0 other).
PREREQUISITES:
MATH 1190 or consent
GOALS:
To give students an understanding of an appreciation for the theory and many
applications of basic college geometry. Both computational and conceptual
skills will be developed. The students will be exposed to both theoretical and
applied points of view and applications to other disciplines will be stressed.
This course also develops student capabilities related to several of
FSU’s General Education Objectives, including:
· The
ability to communicate effectively in a variety of contexts and formats.
· Comprehend
the concepts and perspectives needed to function in national and international
societies.
· Integrate
knowledge and ideas in a coherent and meaningful manner.
TEXTBOOK:
David C. Kay, College Geometry: A Discovery Approach, 2nd
edition, Addison Wesley, 2001
WEB
CT: This course will use WEB CT at
http://webct.fairmontstate.edu. Class announcements, homework assignments
and updated grades will be posted on WEB CT. It is the students’
responsibility to check the information posted at WEB CT.
HOMEWORK/QUIZZES/WORKSHEETS: It
is imperative that you do the homework. If you have trouble with the
assigned problems (or any others in your book) then see me ASAP. Please work
as many problems as you can (even beyond the assigned list if possible). The
bottom line is that if you want to learn some mathematics, the only way to do
this is by “getting your hands dirty” working problems. The
Homework/Quizzes/worksheets will be averaged for part of your final grade.
Quiz will be given without notice in advance. There is absolutely no
make-up for the quizzes. Late work passing the given deadline is not accepted.
EXAMS:
There will be four in-class mid-term tests and one final. A make-up will be
given on the next day after the exam if one can not attend the regular exam.
No other make-up is allowed until the last day of the class. On that day one
can make up any one of the four mid-exams to improve the corresponding
mid-exam. However, only one make-up is allowed. The final exam is
comprehensive and is scheduled on December 17, Friday at
8:00.
Remark: A solution to any problem without showing the work receives 0
credits.
GRADES:
Here is a breakdown of the Homework/quizzes/worksheets/tests/final:
Homework/Quiz/Worksheet Average….15%
Test 1…………15%
Test 2…………15%
Test 3…………15%
Test 4. …….… 15%
Final………..…25%
If you get the
following scores (out of 100) you will receive:
90-100………A
80-89………..B
70-79………..C
60-69………..D
Remark:
Your final score can be used to replace the lowest mid-exam score.
Grades in the course
will reflect students’ demonstrated attainment of course objectives.
I reserve the right to adjust these ranges downward if necessary because of
excessive difficulty of assignments or tests. Borderline cases will be
considered according to the attendance, grades of all four mid-exams and grade
of the final.
ATTENDANCE (from
the student handbook, also available at
http://www.fscwv.edu/sa/studenthandbook/54-62_aca-policies.html#StudentAbsences)
ATTENDANCE
is critical in this class and may be taken form time to time and will be used
to be one of the factors to determine borderline grades.
Students are expected to attend regularly the class and
laboratory session of courses in which they are registered. Regular attendance
is necessary to the successful completion of a course of study and is an
integral part of a student's educational experience. Although a student may
jeopardize his/her grade by nonattendance, the final grade should reflect
performance, not attendance only.
ACADEMIC INTEGRITY
(from the student handbook, section on academic dishonesty, also available at
http://www.fairmontstate.edu/sa/studenthandbook/32-53_regs-policies.html#AcademicDishonesty
)
All work in this course
must be completed in a manner consistent with Fairmont State University Policy
Series 60, Section 2: Academic Rights and Responsibility of Students, West
Virginia Code §18-16-8.
Fairmont State values highly the integrity of its
student scholars. All students and faculty members are urged to share in the
responsibility for removing every situation which might permit or encourage
academic dishonesty. Cheating in any form, including plagiarism, must be
considered a matter of the gravest concern. Cheating is defined here as the
obtaining of information during an examination; the unauthorized use of books,
notes, or other sources of information prior to or during an examination; the
removal of faculty examination materials; the alteration of documents or
records; or actions identifiable as occurring with the intent to defraud or
use under false pretense.
Plagiarism is defined here as the submission of the
ideas, words (written or oral), or artistic productions of another, falsely
represented as one's original effort or without giving due credit. Students
and faculty should examine proper citation forms to avoid inadvertent
plagiarism.
SPECIAL NEEDS
(from the student handbook, also available at http://www.fscwv.edu/sa/studenthandbook/11-17_studentservices.html#DisabilityServices):
Any students with disabilities or other special needs, who need special
accommodations in the course, are invited to share these concerns or requests
with the instructor as soon as possible.
Services are available to any student, full or part-time,
who has a need because of a [documented] disability. It is the student’s
responsibility to register for services with the coordinator of students with
disabilities and to provide any necessary documentation to verify a disability
or the need for accommodations. The Coordinator of Disability Services is
located in the Turley Center, room 310a. The
office phone is (304) 367-4686 or (800) 641-5678 Ext. 8. TDD# is
304-367-4200. Check the web site at
http://www.fairmontstate.edu/sa/disability/disability.shtml
COPYRIGHT NOTICE
Material presented in this course may be protected by copyright law.
COURSE
CONTENTS (SUBJECT TO CHANGE AS NEEDED DURING THE TERM):
Chapter 1: Exploring
Geometry
Chapter 2: Foundations of Geometry 1: Points, Lines, Segments, Angles
Chapter 3: Foundations of Geometry 2: Triangles, Quadrilaterals, Circles
Chapter 4: Euclidean Geometry: Trigonometry, Coordinates and Vectors
Chapter 5: Transformations in Geometry
Chapter 6: Non-Euclidean Geometry
Chapter 7: An Introduction to Three-Dimensional Geometry
* These sections are
optional.