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

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

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

Topics include algebraic structures: groups, rings (including some elementary number theory), fields, and vector spaces.

This is an introduction to point-set topology (also referred to as general topology). Point-set topology is one branch of the much broader area, topology. It is concerned with the study of properties of abstract topological spaces and structures related to such spaces. The material covered in this course will provide the common foundation for courses in algebraic topology, geometric topology, and differential topology.

What is so compelling about the idea of development? Why does it fail much of the global south? Do colonialism and capitalism have anything to do with it? Why do hunger, poverty, inequality, unemployment, and ecological crises persist in the so-called developed world? What are the parameters of the proposed solutions to underdevelopment such as neoliberal market reforms versus those of alternative models? What are the connections between development and environmental issues? development and war? Can development be sustainable? Are gender and race incidental or central to these issues?

Most of the environmental challenges we face are complex and interdisciplinary in nature. This course introduces students to the scientific principles, concepts, and methodologies required to both understand the interrelationships of the natural world, as well as to identify and analyze environmental problems and think critically about alternative solutions for addressing them. Key concepts from ecology, biogeochemistry, and other scientific fields inform our study of climate change, water resources, soil sustainability, food production, and other topics.

Topics include: interest rates, forwards and futures, options, payoff diagrams, binomial trees, risk-neutral valuation, geometric Brownian motion, stochastic calculus, Ito's lemma, Black-Scholes, volatility smiles, exotic options, the Greeks, Monte Carlo methods and statistical analysis of NYSE stock data.

Computers are used every day for an enormous variety of tasks, from playing games and chatting with friends to transferring billions of dollars, delivering radiation treatments, and controlling the electrical grid. Computer programs are an essential ingredient in allowing for this great diversity of applications. In this course, you will learn to create your own programs, based on core programming concepts and analytical problem solving approaches. You will develop dynamic programs by first using Adobe Flash CS4 and AS3 (ActionScript 3), the technology behind many Web applications.