Problems Math 115 Sec. Examples include the use of Laplace transforms to study oscillators such as a damped driven pendulum or an RLC circuit, Fourier series to study the diffusion of heat in a solid bar, and Bessel functions to study the oscillation of a circular drumhead. Complex variables, Laplace transforms, Fourier series, Fourier transforms, Separation of variables, Sturm-Liouville eigenvalue problems, Bessel functions, Solutions to systems of ordinary differential equations, the heat equation, wave equation, and Laplace's equation.
Many students find it easier to work in groups.
The lowest homework grade will be dropped. Homework will generally be assigned every week except those when there are midterms. Sets for the previous weeks are due the following Wednesday in class.