Mathematics Department - New Brunswick

Mathematics Department



General information

01:642:527 Methods of Applied Mathematics I (3)
A first semester graduate course intended primarily for students in mechanical and aerospace engineering, biomedical engineering, and other engineering programs. Power series and the method of Frobenius for solving differential equations; nonlinear differential equations and phase plane methods; vector spaces of functions, Hilbert spaces, and orthonormal bases; Fourier series and Sturm-Liouville theory; Fourier and Laplace transforms; separation of variables and other elementary solution methods for the linear differential equations of physics: the heat, wave, and Laplace equations.
  • Text: Michael D. Greenberg, Advanced Engineering Mathematics (second edition), Prentice-Hall, 1998.

Prerequisites and preparation

The mathematical prerequisites for Mathematics 527 are
  • the calculus of single variable and multivariable functions,
  • elementary differential equations, and
  • some linear algebra.
The majority of students entering Math 527 are ready for the course on the basis of their previous studies, but those who have been out of school for a while, or have a weak mathematical background, may not be sufficiently prepared. To help students enroll in the course that is right for them, the Mathematics Department provides here a set of notes discussing and reviewing some of the prerequisites for the course. The department strongly suggests that students prepare themselves for Math 527 by reviewing these notes and the other prerequisites mentioned there but not discussed in detail.

Current semester

Previous semesters

Comments on this page should be sent to: speer-AT-math.rutgers.edu

Last updated: 6/2007.

Disclaimer: Posted for informational purposes only

This material is posted by the faculty of the Mathematics Department at Rutgers New Brunswick for informational purposes. While we try to maintain it, information may not be current or may not apply to individual sections. The authority for content, textbook, syllabus, and grading policy lies with the current instructor.

Information posted prior to the beginning of the semester is frequently tentative, or based on previous semesters. Textbooks should not be purchased until confirmed with the instructor. For generally reliable textbook information—with the exception of sections with an alphabetic code like H1 or T1, and topics courses (197,395,495)—see the textbook list.

This page was last updated on August 01, 2017 at 11:17 am and is maintained by webmaster@math.rutgers.edu.
For questions regarding courses and/or special permission, please contact ugoffice@math.rutgers.edu.
For questions or comments about this site, please contact help@math.rutgers.edu.
© 2018 Rutgers, The State University of New Jersey. All rights reserved.