In this course you will learn how to expand functions in Fourier series,
that is, in sums of sine functions with different frequencies. As you
will see, this is a surprisingly effective method of solving many
partial differential equations, for example to describe musical
instruments. You will also learn about the important question of
convergence for Fourier series, and learn to view them in a geometric
light. The continuous counterparts - the Fourier and Laplace transform -
are also included in the course.