Course Offerings by term

Introduces differential and integral calculus. Develops the concepts of calculus as applied to polynomials, logarithmic, and exponential functions. Topics include: limits, derivatives, techniques of differentiation, applications to extrema and graphing; the definite integral; the fundamental theorem of calculus, applications; logarithmic and exponential functions, growth and decay; partial derivatives. Appropriate for students in the biological, management, computer and social sciences.

We will investigate how adjusting the standard mathematical rules can create new worlds which behave very differently. In particular, we will explore various ways to make infinity attainable, create imaginary numbers, and use four dimensions to better navigate in three dimensions.

Applied Differential Equations takes the study of differential equations, begun in Calculus 1, to the next level, and further allows students a first meeting with difference equations.

The first, and larger part of the course, deals with differential equations (DE's) -- linear and non-linear DE's; first and higer-order DE's and systems of DE's; ordinary DE's and partial DE's. Examples come from population dynamics (in various species), hydrostatic equations for water and air, wave equations (for example sound waves, water waves, seismic waves,...)

The second part of the course looks at difference equations, with both time and space differencing connections with differentiation; solutions (numerically as well as algebraically); analysis of solutions in terms of convergence and stability. The one-way wave equation (advection equation) is looked at in more detail.