A man meditating alone in a cave near Mecca received a religious vision. This vision laid the foundations for a new religion. The year was 610 and the man's name was Muhammad.

The main objective of this lesson is to illustrate an important application of mathematics in practical life -- namely in art. Most of the pictures selected for this lesson are visible on the walls of Al-Hambra – Granada (Spain), which is one of the most important landmarks in the Islamic civilization. There are three educational goals for this lesson: (1) establishing the concept of isometries; (2) giving real-life examples of groups; (3) demonstrating the importance of matrices and their applications. As background for this lesson, students just need some familiarity with the concept of a group and a limited knowledge about matrices and the inverse of a non-singular matrix.

The main objective of this lesson is to illustrate an important application of mathematics in practical life -- namely in art. Most of the pictures selected for this lesson are visible on the walls of Al-Hambra – Granada (Spain), which is one of the most important landmarks in the Islamic civilization. There are three educational goals for this lesson: (1) establishing the concept of isometries; (2) giving real-life examples of groups; (3) demonstrating the importance of matrices and their applications. As background for this lesson, students just need some familiarity with the concept of a group and a limited knowledge about matrices and the inverse of a non-singular matrix.

Examines interactions across the Eurasian continent between Russians, Chinese, Mongolian nomads, and Turkic oasis dwellers during the last millennium and a half. As empires rose and fell, religions, trade, and war flowed back and forth continuously across this vast space. Britain and Russia competed for power over Eurasia in the "Great Game" of geopolitics in the nineteenth century, just as China, Russia, and others did in the twentieth century. Today, the fall of the Soviet Union and China's reforms have opened new opportunities for cultural interaction. Topics include: the religious traditions of Central Asian Islam, Buddhism, Christianity, and Confucianism; caravans and travelers like Marco Polo and Rabban Sauma, the first Chinese to travel to the West; and nomadic conquest and imperialist competition, past and present. Source materials include primary documents, travelogues, films, music, and museum visits.

Examines the development of the western intellectual tradition from the fall of the Roman Empire through the High Middle Ages. Basic premise is that the triumph of Christianity in Europe was not the inevitable outcome it appears from hindsight. Attention is therefore focused not only on the development of Christian thought and practice, but on its challengers as well. Particular emphasis devoted to Nordic paganism, the rise of Islam, Byzantine orthodoxy, indigenous heretical movements, and the ambiguous position of Jews in European society.

This course is a global-oriented survey of the history of architecture, from the prehistoric to the sixteenth century. It treats buildings and environments, including cities, in the context of the cultural and civilizational history. It offers an introduction to design principles and analysis. Being global, it aims to give the student perspective on the larger pushes and pulls that influence architecture and its meanings, whether these be economic, political, religious or climatic.

Surveys the major political, socio-economic, and cultural changes in the Middle East from the rise of Islam to present times (A.D. 600-2002), with special emphasis on Islam's encounter with the West. Examines the rise and fall of Islamic empires; the place of Arabs, Persian and Turkic peoples, as well as minorities in Islamic society; scientific and technological achievements and their transmission to the West; and the impact of European expansion after 1800. Considers contemporary crises and upheavals facing the Middle East in light of the historical past. This course aims to provide students with a general overview of basic themes and issues in Middle Eastern history from the rise of Islam to the present, with an emphasis on the encounters and exchanges between the "Middle East" (Southwest Asia and North Africa) and the "West" (Europe and the United States).