*640:527: Methods of Applied
Mathematics*

**Class meets:
** TTH6 (5:00-6:20), Hill Center, Room 124

**Text:**
*M.Greenberg* ** Advanced Engineering Mathematics**
(second edition); Prentice, 1998 (ISBN# 0-13-321431-1))

**Instructor:
** Daniel Ocone

**Office Hours:
** Hill 518: 3:00-4:30 Tuesday and Thursday or by appointment.

**Syllabus:
** Click here.

* Course description*

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.

**Prerequisites:** Topics
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
taking 640:421.

** Grading:**
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.