Joseph M. Mahaffy SDSU
Math 537: Ordinary Differential Equations Fall 2021
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Course Information for Math 537

Course Description

This course is a second course in differential equations. It covers a variety of topics building on material from Elementary Differential Equations. Methods of scaling are introduced to analyze behavior ODEs. Linear systems of ODEs of higher dimensions are examined. Power series techniques are extended through the method of Frobenius. Perturbation and singular perturbation methods are applied to certain ODes. The method of averaging shows another analytical technique. Computers are used for modeling examples with MatLab, Maple, and Excel, being the primary computer tools demonstrated.

Details of the course and timelines are available on the HW Assignment page.

Math 537 - Fall 2021

Joseph Mahaffy
Professor, Mathematical Biology
Lectures: 9:00-9:50 MWF in GMCS 325 Office phone: 619-594-3743

Office Hours: 10:00-11:45 and
by Appointment

 Fax: 619-594-6746
Office location: GMCS 593 E-mail: jmahaffy@sdsu.edu


Prerequisites

Math 254 and 337

Topics and References:

There is NO REQUIRED TEXT, as topics are varied. This course covers the following topics:

  • Linear Ordinary Differential Equations (ODEs) (Review)
  • Scaling ODEs
  • Fundamental Solutions (eAt)
  • Power Series - Method of Frobenius
  • Perturbation and Singular Perturbation Methods
  • Method of Averaging

Lecture Page will contain notes developed and a list of potential references and hyperlinks to topics studied in this course.

Lab Manual (MatLab and Maple) and Lab Manual (Excel and Maple) are being developed with much of the first part completed and online.

Course Assessment and Grading

  • Grading:
    • Homework assignments, including WeBWorK (35%)
    • Lecture Activities (20%)
    • 2 Midterms (30%)
    • Final (15%) - Wed Dec. 15 (10:30-12:30)

    • The grade divisions are typically 85-100 is an A, 73-85 is a B, 62-73 is a C, 50-62 is a D, and below 50 is an F with + or - assigned near the boundary (within 3%).

    The Syllabus has details on course policies.

    For questions concerning the webpage contact Joseph Mahaffy.

     

     

Copyright © 2021 Joseph M. Mahaffy.