This is a complete set of 40 Maple lessons for an undergraduate course in Partial Differential Equations. The course covers linear spaces; Fourier series; symbolic solutions to the heat, wave and Laplace equations with various boundary conditions; numerical methods; and general theory of first-order PDE's. Prof. Jim Herod, Ret., formerly of Georgia Tech, developed the lessons. Dr. Herod has used and polished them through dozens of iterations of his course.