This undergraduate level course follows Algebra I. Topics include group representations, rings, ideals, fields, polynomial rings, modules, factorization, integers in quadratic number fields, field extensions, and Galois theory.

" This course provides an introduction to the language of schemes, properties of morphisms, and sheaf cohomology. Together with 18.725 Algebraic Geometry, students gain an understanding of the basic notions and techniques of modern algebraic geometry."

In-depth study of an active research topic in computer graphics. Topics change each term. Readings from the literature, student presentations, short assignments, and a programming project. Animation is a compelling and effective form of expression; it engages viewers and makes difficult concepts easier to grasp. Today's animation industry creates films, special effects, and games with stunning visual detail and quality. This graduate class will investigate the algorithms that make these animations possible: keyframing, inverse kinematics, physical simulation, optimization, optimal control, motion capture, and data-driven methods. Our study will also reveal the shortcomings of these sophisticated tools. The students will propose improvements and explore new methods for computer animation in semester-long research projects. The course should appeal to both students with general interest in computer graphics and students interested in new applications of machine learning, robotics, biomechanics, physics, applied mathematics and scientific computing.

This course will provide an overview of a new vision for Human-Computer Interaction (HCI) in which people are surrounded by intelligent and intuitive interfaces embedded in the everyday objects around them. It will focus on understanding enabling technologies and studying applications and experiments, and, to a lesser extent, it will address the socio-cultural impact. Students will read and discuss the most relevant articles in related areas: smart environments, smart networked objects, augmented and mixed realities, ubiquitous computing, pervasive computing, tangible computing, intelligent interfaces and wearable computing. Finally, they will be asked to come up with new ideas and start innovative projects in this area.

This course focuses on the Great Depression and World War II and how they led to a major reordering of American politics and society. We will examine how ordinary people experienced these crises and how those experiences changed their outlook on politics and the world around them.

Examines in detail the works of several American authors. Through close readings of poetry, novels, or plays, subject addresses such issues as literary influence, cultural diversity, and the writer's career. Topic: American Women Authors. This subject, crosslisted in Literature and Women's Studies, examines a range of American women authors from the seventeenth century to the present. It aims to introduce a number of literary genres and styles- the captivity narrative, slave novel, sensational, sentimental, realistic, and postmodern fiction- and also to address significant historical events in American women's history: Puritanism, the American Revolution, industrialization and urbanization in the nineteenth century, the Harlem Renaissance, World War II, the 60s civil rights movements. A primary focus will be themes studied and understood through the lens of gender: war, violence, and sexual exploitation (Keller, Rowlandson, Rowson); the relationship between women and religion (Rowlandson, Rowson, Stowe); labor, poverty, and working conditions for women (Fern, Davis, Wharton); captivity and slavery (Rowlandson, Jacobs); class struggle (Fern, Davis, Wharton, Larsen); race and identity (Keller, Jacobs, Larsen, Morrison); feminist revisions of history (Stowe, Morrison, Keller); and the myth of the fallen woman (take your pick). Essays and inclass reports will focus more particularly on specific writers and themes and will stress the skills of close reading, annotation, research, and uses of multimedia where appropriate. A classroom electronic archive has been developed for this course and will be available as a resource for images and other media materials.

An examination of "classic" documents in American history from the seventeenth through the twentieth centuries, including writings by authors such as John Winthrop, Thomas Jefferson, and James Madison; Frederick Douglass, William Lloyd Garrison, and Abraham Lincoln; Horatio Alger, Jacob Riis and Thorstein Veblen; Franklin D. Roosevelt, Betty Friedan, Bob Dylan, and Martin Luther King, Jr. Music, taped speeches, television programs, motion pictures, and/or other visual materials may also be included. Class meetings consist primarily of discussions and there is one required museum trip.

This class examines how and why twentieth-century Americans came to define the ‰ŰĎgood life‰Ű through consumption, leisure, and material abundance. We will explore how such things as department stores, nationally advertised brand-name goods, mass-produced cars, and suburbs transformed the American economy, society, and politics. The course is organized both thematically and chronologically. Each period deals with a new development in the history of consumer culture. Throughout we explore both celebrations and critiques of mass consumption and abundance.

This course explores the experiences and understandings of class among Americans positioned at different points along the U.S. social spectrum. It considers a variety of classic frameworks for analyzing social class and uses memoirs, novels, and ethnographies to gain a sense of how class is experienced in daily life and how it intersects with other forms of social difference such as race and gender.

This course explores the reasons for America's past wars and interventions. It covers the consequences of American policies, and evaluates these consequences for the U.S. and the world. History covered includes World Wars I and II, the Korean and Indochina wars, the Cuban Missile Crisis and current conflicts, including those in in Iraq and Afghanistan, and against Al Qaeda.

Examines the causes and consequences of American foreign policy since 1898. Readings cover theories of American foreign policy, historiography of American foreign policy, central historical episodes including the two World Wars and the Cold War, case study methodology, and historical investigative methods. Open to undergraduates by permission of instructor.

This course provides a basic history of American social, economic, and political development from the colonial period through the Civil War. It examines the colonial heritages of Spanish and British America; the American Revolution and its impact; the establishment and growth of the new nation; and the Civil War, its background, character, and impact. Readings include writings of the period by J. Winthrop, T. Paine, T. Jefferson, J. Madison, W. H. Garrison, G. Fitzhugh, H. B. Stowe, and A. Lincoln.

The course is intended for people who would like a deeper understanding of the American housing finance system. The focus will be on providing necessary background knowledge rather than on evaluating specific policy proposals.  Near the end of the course, participants will be encouraged to bring up policy issues and to discuss them in light of the information presented.

This course is a survey of American Literature from 1650 through 1820. It covers Early American and Puritan Literature, Enlightenment Literature, and Romantic Literature. It teaches in the context of American History and introduces the student to literary criticism and research.

This course studies the national literature of the United States since the early 19th century. It considers a range of texts - including, novels, essays, and poetry - and their efforts to define the notion of American identity. Readings usually include works by such authors as Nathaniel Hawthorne, Henry David Thoreau, Frederick Douglass, Emily Dickinson, and Toni Morrison.

This course explores the metaphorical, historical, social, and psychological value of ghosts in the American novel. Using the theme of "haunting" as a flashpoint for class discussion and a thematic center for our readerly attention, this course examines the American novel in the context of the various histories which might be said to haunt fictional characters in the American novel, to haunt the American novel itself, and ultimately to haunt us: America's colonial past, its slave past, and other memorable and painful chapters in its past.

This course covers works by major American novelists, beginning with the late 18th century and concluding with a contemporary novelist. The class places major emphasis on reading novels as literary texts, but attention is paid to historical, intellectual, and political contexts as well. The syllabus varies from term to term, but many of the following writers are represented: Rowson, Hawthorne, Melville, Twain, Wharton, James, and Toni Morrison. Previously taught topics include The American Revolution and Makeovers (i.e. adaptations and reinterpretation of novels traditionally considered as American "Classics"). May be repeated for credit with instructor's permission so long as the content differs.

English and American backgrounds of the Revolution; issues and arguments in the Anglo-American conflict; colonial resistance and the beginnings of republicanism; the Revolutionary War; constitution writing for the states and nation; and effects of the American Revolution. Concerned primarily with the revolutionary origins of American government. Readings emphasize documents from the period -- pamphlets, correspondence, the minutes or resolutions of resistance organizations, constitutional documents and debates.

This is a seminar course that explores the history of selected features of the physical environment of urban America. Among the features considered are parks, cemeteries, tenements, suburbs, zoos, skyscrapers, department stores, supermarkets, and amusement parks. The course gives students experience in working with primary documentation sources through its selection of readings and class discussions. Students then have the opportunity to apply this experience by researching their own historical questions and writing a term paper.