MATH 641 - Ordinary and Partial Differential Equations

Credits: 3
Prerequisite: MATH 625 or permission of the instructor.
Solution techniques for linear and solvable nonlinear ordinary and partial differential equations are covered. A variety of methods including series solutions, operator methods, Laplace transforms, characteristics, and separation of variables are demonstrated for numerous applications to physical problems. Systems of differential equations, associated phase plane, and stability theory are addressed. Solutions and applications for the equations of mathematical physics are discussed, including the heat equations, Laplace’s equations, and the wave equation.