SYLLABUS FOR HLAS 201
MATHEMATICS, LOGIC, AND SYMMETRY
Instructor: Dr. Reza Sarhangi
Office: Math Complex, Mossman 110
Office Hours: To be announced
Office Phone: (316) 221-8373
Class Schedule: MWF 10:00-10-.50
Course Description: A
study of the connections between art and mathematics including proportions
and the sacred geometry, tessellations in different cultures, the
symmetry of the mathematical logic. The course win provide video tapes
and software appropriate for each subject. Credit 3 hours
Ability to find the relationship between the mathematical
subjects -including geometry, group theory, logic- and the artistic presentations
of these subjects created by scientists and artists through the centuries.
Ability to identify different aspects of art in mathematical
expressions of sciences.
Ability to research independently and write and present articles
related to the subjects presented in class.
Upon successful completion of this course, students will
be able to:
demonstrate knowledge of tessellating general and specific
demonstrate knowledge of symmetry and transformations including
translation, rotation, reflection, and glide reflection.
demonstrate ability to adopt techniques for generating tessellations
in artistic work and create Escher-like tessellations.
demonstrate knowledge of the ancient Roman structure and
structural experimentation in high Gothic architecture.
demonstrate knowledge of the relax Pentagon and its relationship
to the Golden section, and the Fibonacci numbers in art and architecture.
Instructional Methodologies: Classes
will consist of lecture-discussions, and demonstrations of a variety of
media in mathematics and in art
Mathematical Connections in Art, Music, and Science, Reza Sarhangi. Connections,
Evaluation: Course grades will
be based on 2 midterm exams (200 pts each), a final exam (300 pts), quizzes
and homework (250 pts, and project (50 pts). for a total of 1000 points.
Course grades based on a scale of 0 to too will be, assigned as f ollows:
90 < A < 100
Attendance: Class attendance is strongly recommended and
vigorously encouraged. In addition, students will be responsible for any
announcement made in class, whether or not they are present.
Homework: Homework will be collected at the beginning of
the class period of the due date. In general, late homework will not be
accepted unless student has made prior arrangements with the instructor
or unless a valid documented absence occurs. Veri fiable documentation,
such as a written excuse from a, physician, of the reason for missing class
will be required. You can and are encouraged to work on homework with other
students in the class. However, simply copying other students homework
is strongl y discouraged.
Quizzes: The quizzes will be based on lectures and assignments.
Everyone’s lowest quiz score will be dropped at the end of the semester.
No make-up quizzes w ill be given.
Project: A protect will be assigned to each student in order
to implement the knowledge obtained in this class to a branch of science
or in a real life problem to demonstrate the usefulness of the studied
Exams: Exams will be closed book and closed note. When necessary,
a formula sheet will be provided. The specific dates will be announced
during the first week of the class. In general, no make-up exams will be
given. If a student misses an exam, verif iable documentation, such as
written excuse from a physician, of the reason of the missing exam will
be required, unless prior arrangements have been made with the instructor.
The final exam is comprehensive and the date and the time, are as specified
in the current schedule of courses. The time stated in the schedule of
courses will not be changed except for verifiable emergencies.
75 < B < 90
65 < C < 75
55 < D < 65
O< F < 55
Policy Regarding Academic Integrity:
Academic honesty according to the Academic Integrity Policy of Southwestern
College is expected in this class for all work submitted for a grade. This
policy will be strictly followed. Students are responsibl e for reading,
understanding, and following this policy.
Backgrounds courtesy of Geocities