M337 ODE's / Syllabus

Office: GMCS 589
Office Hours: M W 3PM - 4PM
e-mail: palacios AT euler.sdsu.edu

A Modern Introduction to Differential Equations
Author: Henry J. Ricardo
Publisher: Academic Press

Cell Phones: Please turn off your cell phones during class. NO TEXTING.

Course Outline

  1. First Order Equations
    • Introduction
    • Separable Equations
    • Linear Equations
    • Qualitative Methods
    • Bifurcations
    • Existence and Uniqueness
  2. Numerical Solutions
    • Euler's Method
    • Runge-Kutta
  3. Second Order Equations
    • Homogeneous Equations with Constant Coefficients
    • Nonhomogeneous Equations
    • Undetermined Coefficients
    • Variation of Parameters

  1. Higher Order Equations
    • Higher Order Linear Equations with Constant Coefficients
    • Transformation to Systems of ODEs
    • Qualitative Analysis
  2. Systems of ODEs
    • 2D Systems of Linear ODEs
    • Equilibrium Points
    • Stability
  3. Laplace Transforms
    • Introduction
    • Inverse Laplace Transforms
    • Transforms of Systems of ODEs
  4. Series Solutions
    • Power Series
    • Singular Points
    • Method of Frobenius



You are required to turn in proof of completion of M254, with a minimum grade of C, by
Wednesday, September 3. Unofficial copy of transcripts would suffice. Failure to show
proof will result in being dropped from the course.


[1] MATLAB Tutorial: http://www.math.mtu.edu/~msgocken/intro/intro.html
[2] ODE Software for MATLAB
[3] Interactive Differential Equations


Homework + Quizzes
20 %
2 Midterm Exams
50 %
Final Exam
30 %
Grading Scale
A -- (minus)
90% and above
B -- (minus)
80% and above
C -- (minus)
65% and above
D -- (minus) 55% and above




*Note: Exam dates listed above are tentative and will be confirmed in class. The instructor reserves the right to change these dates if considered necessary.

  • All work that you complete in this class should be your own. In particular, exams, homework, and quizzes, are considered individual work. Copying (or allowing to be copied ) someone else work is considered cheating and will be penalized. Any form of cheating will result in an "F" in the course.
  • Quizzes may or may not be announced. If a quiz is given at the beginning of class and you are late, you will not be able to take this quiz earlier.If a quiz is given at the end of the hour, you will not be able to take this quiz earlier.

Important Dates

Last Day of Classes December 10

Milk Splash


Milk Splash