640:527: Methods of Applied
TTH6, Hill Center, Room 423
M.Greenberg Advanced Engineering Mathematics
(second edition); Prentice, 1998 (ISBN# 0-13-321431-1))
Hill 518: Tuesday 11:00-12:20, 6:30-7:30; Thursday
6:30-7:30; by appointment.
This is a first semester graduate course appropriate for
students in mechanical and aerospace engineering, biomedical
engineering, other engineering, and physics.
The topics to be covered are: power series and the
method of Frobenius for solving differential equations;
nonlinear differential equations and phase plane methods;
perturbation techniques; vector space of functions, Hilbert
spaces and orthonormal bases; Fourier seres and integrals;
Sturm-Liouville theory; Fourier and Laplace transforms;
separation of variables for solving the linear differential
equations of physics, the heat, wave, and Laplace equations.
the students should know, together with the courses
in which they are taught at Rutgers, are: Introductory Linear
Algebra (640:250); Multivariable Calculus (640:251);
Elementary Differential Equations (640:244 or 640:252);
Advanced Calculus for Engineering(Laplace transforms,
sine and cosine series, introductory pde)(640:421).
Students who are not prepared for this course should consider
Grades will be determined out of 500 points as follows:
- 100 points (20%) graded homeworks and quizzes;
- 100 points (20%) for each of the two midterms;
- 200 points (40%) for the final exam.