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Seminar Description

Summary
  • 5 weeks in Rome during summer session 1 (6/25/10-7/31/10) to study math, engineering, architecture
  • Seminar consists of two 4-unit UCSD courses, to be taken together
  • Classes will be small, limited to 15-20 students (apply early for a spot!)
  • Prerequisites are Math 10A or 20A, and permission by the instructor
  • For more info (including costs and how to apply), see the UCSD Programs Abroad Office or contact Jenny Garza
Overview, Goals, Topics

The goal of this seminar is to explore classical Roman architecture from a mathematical and engineering point of view. We will study the geometries and structural principles of the Colosseum, the Pantheon, St. Peter's, and much more. There will be excursions to Florence to study Brunelleschi's dome and to Pisa to study the Leaning Tower. We will address such questions as: What geometrical forms were used, and why were they used? How does a Roman arch work, and how is it analyzed for stability? More generally, what engineering principles enabled some of the world's greatest structures to last, some for over two millennia? These and other questions will be dealt with in a mathematically rigorous manner. Finally, we will live in and experience Rome, the "Eternal City," for five weeks.

This seminar consists of two UCSD undergrad courses:
  • CSE 4GS: Mathematical Beauty in Rome (4 units)
  • CSE 6GS: Mathematical Laboratory in Rome (4 units)
The first course focuses on theoretical concepts in mathematics and engineering as they relate to classical Roman architecture. We will explore basic structural principles of elements such as arches, vaults, and domes, and diverse mathematical topics such as the golden ratio and perspective. The second course is a lab, comprising two activities: field study and computer analysis. Field study will involve visiting Rome's primary architectural sites to carry out observation and measurement studies. Computer analysis will involve use of software tools for geometric modeling and design analysis, and relating the measurement studies to the theory discussed in class. Note: these are official UCSD courses, except they are held in Rome.

Site-specific topics of study include the geometrical principles of the Colosseum's oval design: What are the properties of this oval, and how was it generated? We will study the Pantheon, one of the best-preserved buildings of the ancient world, which has a hemispheric dome with a central circular opening, or "oculus." Why this geometry, why the chosen dimensions, and how were they determined? How was the dome erected? 

If you have a passion for mathematics (especially geometry) and engineering, an appreciation for classical architecture, and want to see these subjects come alive by studying some of the greatest and most beautiful structures ever built and that have stood the test of time, on site, this Global Seminar is for you!

Prerequisites

The main prerequisites are basic courses in mathematics, i.e., calculus and analytic geometry (Math 10A or Math 20A).  In addition, prospective students must submit a one-page essay describing why they are interested in this Global Seminar, and must meet with the instructor for permission. If you are a student majoring in engineering (of any subdiscipline, e.g., computer science/engineering, structural engineering, etc.) or mathematics, you are more than qualified to enroll. If you are in doubt, please feel free to check with me.

Evaluation

Homework: There will be a set of homework assignments, most of which will involve geometrical analysis using computer software tools.

Final Exam: There will be a final exam, testing students on their understanding of the readings, site visit studies, and material presented in class.



Last updated 8/30/09