'This comprehensive survey course explores the brain and the biological basis of behavior. We will examine the anatomy of the nervous system and the unique properties of the cells that make up the brain. We will discuss the mechanisms by which individual brains cells communicate with each other, and how small networks of cells underlie more complex processes such as perception, learning, and behavior. In labs, students will perform experiments that expand upon and reinforce these ideas through hands-on exercises.'

'This course investigates the many-layered levels of the city of Rome's complex history from its origins to the twenty-first century, focusing on the period beginning in 1420 when the rebuilding of the devastated medieval city begins and gradually gives rise to Rome of the Renaissance and the Baroque. Special attention will be given to the social and political history of Rome, its catastrophes and triumphs, paupers, princes and popes, myths, legacies, and deep secrets.'

'This is an introduction to differential equations for students in the mathematical or other sciences. Topics include first-order equations, second-order linear equations, qualitative study of dynamical systems, and first- and second-order linear partial differential equations.'

'Advances in computing since the 1980's have made computation with polynomials tractable in many situations that arise in applications. We will study Buchberger's algorithm, which is the foundational tool of computational algebra. We will also learn about the interplay between systems of polynomial equations and the geometry of their solution sets. Additional topics may include applications to integer programming, computer-aided design, robotics, and statistics.'

'Topics include the real number system, convergence of sequences and series, power series, uniform convergence, compactness and connectedness, continuity, abstract treatment of differential and integral calculus, metric spaces, and point-set topology.'

'Offers mathematics as a laboratory science. After a short introduction to the computer, uses hand and computer computation to explore mathematical ideas. Directs laboratory projects toward discovery of properties and patterns in mathematical structures. The choice of projects varies from year to year and is drawn from algebra, analysis, discrete mathematics, geometry, and statistics.'

'Studies some aspects of discrete mathematics. Topics include sets, functions, elementary probability, induction proofs, and recurrence relations.'

Topics include elements of the theory of matrices and vector spaces.

Topics include differential and integral calculus of functions of several variables.

Topics include differential and integral calculus of functions of several variables.