'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.

'Topics include techniques of integration, applications of integration, differential equations, sequences, series, and Taylor series.'

'Topics include techniques of integration, applications of integration, differential equations, sequences, series, and Taylor series.'

'This course is for students who have not studied calculus and who have the necessary precalculus background. It presents rates of change and their applications, integrals, the fundamental theorem, and modeling of phenomena in the natural and social sciences. All students are required to complete the online self assessment of precalculus skills before the course begins.'