AUCT 160 -- Seeing Through Symmetry
The AUC course "Seeing Through Symmetry" (AUCT 160) is based on the concept of "symmetry," a paradigm with which undergraduates are familiar (such as in areas of art, music, and psychology). Through the refinement and development of that concept they effectively experience a gateway through which they can gain a better understanding and appreciation of the many aspects of natural science. The course begins by illustrating and explaining common examples of symmetry in art, design, music, and nature. The student is then gently guided through some mathematical notions useful in explaining some of what has been seen and heard. From there we have sufficient examples to formulate a general technical definition of symmetry. This prepares the way for the main thrust of the course -- an understanding of fundamental ideas of nature by a display of the multifaceted forms of symmetry in the natural sciences. For example: In chemistry, underlying rotational symmetries are used to explain why some complex chemical structures are of use in technology. In biology, concepts of symmetry contribute to an understanding and appreciation of the structure of DNA and its role in life. In cosmology, the rotational symmetry of spacetime is used to discuss the exotic properties of black holes. Computer-based labs make a vital contribution to the learning experience. To further broaden this experience, students will be able to: see the application of symmetry through a report they write explaining their experiences at a science museum and, apply their creativity in understanding course concepts through a project involving both a class presentation and a written report