Global Arc

Introduction to numerical methods with emphasis on algorithms, applications and computer implementation issues. Topics covered include solution of nonlinear equations; numerical differentiation, integration, and interpolation; direct and iterative methods for solving linear systems; numerical solutions of differential equations; two-point boundary value problems; and approximation theory. Lectures are supplemented with numerical examples using MATLAB. Prerequisites: MAT201 and MAT202; or MAT203 and MAT204 or equivalent.

Draws problems from the sciences and engineering for which mathematical models have been developed and analyzed to describe, understand and predict natural and man-made phenomena. Emphasizes model building strategies, analytical and computational methods, and how scientific problems motivate new mathematics. This interdisciplinary course in collaboration with Molecular Biology, Psychology and the Program in Neuroscience is directed toward upper class undergraduate students and first-year graduate students with knowledge of linear algebra and differential equations.

Basic facts about Fourier Series, Fourier Transformations, and applications to the classical partial differential equations will be covered. Also Fast Fourier Transforms, Finite Fourier Series, Dirichlet Characters, and applications to properties of primes. Prerequisites: 215, 218, or permission of instructor.

The theory of functions of one complex variable, covering power series expansions, residues, contour integration, and conformal mapping. Although the theory will be given adequate treatment, the emphasis of this course is the use of complex analysis as a tool for solving problems. Prerequisite: MAT201 and MAT202 or equivalent.

Study of functions of a complex variable, with emphasis on interrelations with other parts of mathematics. Cauchy's theorems, singularities, contour integration, power series, infinite products. The gamma and zeta functions and the prime number theorem. Elliptic functions, theta functions, Jacobi's triple product and combinatorics. An overall view of Special Functions via the hypergeometric series. This course is the second semester of a four-semester sequence, but may be taken independently of the other semesters.

An applied algebra course that integrates the basics of theory and modern applications for students in MAT, APC, PHY, CHE, COS, ELE. This course is intended for students who have taken a semester of linear algebra and who have an interest in a course that treats the structures, properties and application of groups, rings, and fields. Applications and algorithmic aspects of algebra will be emphasized throughout.

This course will cover the basics of symmetry and group theory, with applications. Topics include the fundamental theorem of finitely generated abelian groups, Sylow theorems, group actions, and the representation theory of finite groups, rings and modules.

What kinds of art issues forth from need? Taking its name from Brazilian film director Glauber Rocha's 1965 manifesto, this course investigates how artists, writers, and theorists have sought to understand political, social, economic, and material limitations as generative conditions for aesthetic form. Moving between Latin American debates of the 1960s and 70s and the contemporary global moment, we examine such concepts as hunger, scarcity, imperfection, reproduction, and ecological justice though works by Cecilia Vicuña, Steve McQueen, Maria Thereza Alves, Silvia Rivera Cusicanqui, Jumana Mana and others.

What does "Justice" mean? What do efforts to achieve "Justice" tell us about injury, retribution, and peace? This class will explore how justice is defined and sought by looking at criminality, fights for indigenous and women's rights, post-conflict transitions, environmental catastrophe, debates about reparations, and intimate forms of repair. We will combine a global perspective with engaged local work to think about what struggles for justice look like in theory and on the ground. These debates will illuminate about how the past is apprehended, and how visions of possible utopias and dystopias are produced in the present.

This course is an anthropological and experience-based exploration of video games. As we consider scholarship in Digital Anthropology, Game Studies, and African American Studies, we scrutinize the design of games and engage in gameplay, with a particular focus on Black experiences. Throughout the course, we probe how video games utilize and interact with race and, in doing so, we advance an intersectional approach that also accounts for class, gender, and sexuality. The course's core set of theoretical and methodological tools helps students to engage with gaming critically and to create alternative games in the future.