MAP2302 Elementary Differential Equations (Spring 2010)

Instructor Basics Course Basics
  • Instructor: William Mitchell
  • Office: 432 Little Hall
  • Office Hours: TBA and by appointment
  • Email: wjm@ufl.edu
  • Phone: (352) 392-0281 ext 284
  • Time: MWF 9th period (4:05–4:55 pm)
  • Place: 127 Little Hall
  • Prerequisite: A grade of C or better in MAC 2312, MAC 2512 or MAC 3473.
  • Text: Fundamentals of Differential Equations and Boundary Value Problems, 5th Edition, by R. Kent Nagle, Edward B. Saff and Arthur David Snider
  • Web Site: http://www.math.ufl.edu/~wjm/class/diffeq/

Course Goals:   Differential Equations are ubiquitous in the sciences and engineering. This course is designed to serve students in engineering, physics, mathematics and related areas with the aim of applying, understanding qualitatively, and solving ordinary differential equations of the most usual types. The course starts with an introduction to the concept of differential equations. It covers first order methods, including separability, exactness, integrating factors, first order linear equations, Bernoulli's equations, and second order equations reducible to first order ones. It also includes some applications, possibly including mechanics. The course continues with higher order methods for constant coefficient linear equations including particular solutions and general solutions by the method of undetermined coefficients. It includes variation of parameters operator methods, linear independence and the Wronskian. Applications include vibrating springs, resonance, and electrical circuits. The course also covers Laplace transform methods, including properties of the Laplace transform, solution of initial value problems, and series solutions.