The course will consist of two parts of roughly the same length. The first part will cover basics of Abelian, triangulated and derived categories using examples from algebra. The second part will be more technical as we will focus on computations and applications of derived categories of coherent sheaves in algebraic geometry. The prerequisite for this part is standard algebraic geometry, either using the language of schemes (Chapter II of Hartschorne will suffice) or complex algebraic geometry (e.g. the first volume of Voisin's "Hodge theory and complex algebraic geometry").

The aim of this course will be to give an overview of the mathematical background, physical applications and numerical computations associated with a number of prototypical wave systems both at the continuum and at the lattice level. We will start from finite dimensional Hamiltonian systems, discuss their symmetries and Lagrangian/Hamiltonian structure, and then extend considerations to infinite dimensional systems of partial differential and differential-difference equations.

Description not available at this time

Description not available at this time

This advanced course will build on the foundations of scenic design practice covered in THEATER 360 (Intro to Set Design) such as dramaturgical and visual research, model building, drafting, budgeting, creative problem solving, flexibility of methods and solutions in pursuit of a vision in support of a performance event, and collaboration skills through actual production assignments in the department as well as several paper projects realized in 3-D model form.

Accessible to all students who have completed Theater 160. Students gain basic knowledge in Costume Design, including but not limited to: script analysis, professional research technique, visual communication (especially drawing), and build on experiences from Theater 160 with hands-on work in the costume shop. A student coming to 362 with more advanced design, drawing or construction skills can expect to build on and enhance those skills.

The course will cover classical methods in applied mathematics and math modeling, including dimensional analysis, asymptotics, regular and singular perturbation theory for ordinary differential equations, random walks and the diffusion limit, and classical solution techniques for PDE. The techniques will be applied to applications throughout the natural sciences.

Satisfies Junior Year Writing requirement. Develops research and writing skills in mathematics through peer review and revision. Students write on mathematical subject areas, prominent mathematicians, and famous mathematical problems. Prerequisites: MATH 300 and completion of College Writing (CW) requirement.

An overview of rhythm, harmony, and various musical styles as they relate to teaching dance, choreographing, and performing. Students will learn to read rhythmic notation, study and play a variety of percussion instruments, and engage in movement, vocal, and percussion improvisation. Some degree of previous dance training or experience is suggested as this course is geared towards but not limited to dance majors.