This weekly seminar course is an introduction to some of the classic techniques of applied mathematics. Topics will include scaling, dimensional analysis, regular and singular perturbations, and asymptotic matching. The goals of the course are to expose students to important techniques widely used in applied mathematics; to present a different mode of classroom instruction and student involvement where students see themselves as equal participants in the learning process; to provide students with opportunities to practice and hone oral presentation skills; and to encourage students to become more familiar with using modern computational tools to solve mathematical problems.