UMAIE Course Number: T4666
SAU Course Equivalency: To be determined
Instructor: Dr. Cheri Shakiban and Dr. Michael Hennessey, University of St. Thomas
Dates: January 3-27, 2016. (NOTE: SAU classes begin January 20)
Location: Toledo, Granada, and Barcelona, Spain; Athens, Greece; Rome and Bologna, Italy
The purpose of this course is to achieve an understanding of the Greek, Byzantine, Roman and Islamic cultures from the perspective of mathematics and engineering and to appreciate the influence of their technical advances on the world culture throughout the ages, including contemporary times. We will investigate how they developed such sophisticated levels of mathematics and engineering to design magnificent buildings such as the Acropolis
of Athens (468-430 BC), the Coliseum of Rome (70 - 72 AD), and will compare the architecture of these magnificent buildings. We will then compare these building with the more contemporary buildings designed by Gaudi in Barcelona and in particular check out the influence of the Islamic architecture and geometry in his work.
We will use modern techniques in mathematics, including group theory, abstract algebra, linear algebra, and the geometry of ruled surfaces to study the mathematics incorporated in their art and architecture from the point of symmetry including characterizing the frieze patterns and tessellations that are found in their buildings, on their domes, columns, and arches. We will then discuss the engineering mechanics of their architecture using concepts and techniques such as elastic instability (buckling), stress and strain (tensor quantities), inertia and moments, and stability of structures with the aid of software such as MATLAB, Mathematica and Solidworks. We will visit three different universities on location in Barcelona, Athens and Pisa and will have local mathematicians, architects and engineers to talk to the students on concepts directly related to the course.
Application Deadline: April 13, 2015
Step 1: Complete the online application.
Step 2: Fill out a Liability Form. Upload the form into your online application or submit it to the Center for International Education (Lower Cosgrove).
Step 3: Choose an airport and fill out a Deviation Form (pdf).
Step 4: Submit a $500 application deposit to the Center for International Education (Lower Cosgrove). Make checks payable to SEMINARS INTERNATIONAL.
Step 5: If your application is approved, follow the next steps for accepted students.