Texts: H. S. Bear, Differential Equations: A Concise Course
Professor: W. Farr, 105A Stratton, X5496, E-mail - bfarr
R. Bronson, Schaum's Easy Outlines: Differential Equations
Office Hours: MWF 11-1,TR 9-11 after class except M, or by appointment
- Understand the basic concepts of differential equations.
- Be proficient at solving the following types of differential
- single linear first order
- linear second order equation with constant coefficients,
including solution via the Laplace transform
- first order systems with constant coefficients
- Understand the general theory of existence and uniqueness of
solutions of differential equations, including the role of linearity.
- Understand and be able to analyze the qualitative behavior of a
single nonlinear autonomous differential equation.
- Be able to interpret the phase plane for an autonomous,
noonlinear system of two differential equations.
This course meets four times a week for lectures, where the basic
concepts will be introduced. There is also one
conference section per week.
The homework assignments will be given in class and listed on the course web
page. Completing these exercises is essential to your mastery of the
material. Homework will be collected each Thursday in lecture and
selected problems will be graded. Late homework will not be accepted
without prior arrangement with the instructor. Homework scores will
count as 15% of your final grade.
There will be two hour exams during the term. Each will count 25% of
your final grade. Tentative dates are November 9 and November 30.
There will also be a comprehensive final exam in the last week of the
course on Thursday, December 15. This exam will count as 35% of your
The section numbers are from Bear. The other text provides short
summaries of the material and lots of worked out examples, which Bear
William W. Farr
- Week 1
- Basics for a single, first order equation, Linearity
Secs. 1.1, 1.2, 1.4, 2.2, 2.4
- Week 2
- Linear Algebra and Linear operators
Secs. 3.1, 3.2, 3.3
- Week 3
- Second order equations, applications
Secs.3.4, 3.5, 4.1,
- Week 4
- Higher order equations, Undetermined coefficients
Secs. 4.2, 4.3, 4.4, 4.6
- Week 5
- Laplace transforms
Secs. 5.1, 5.2, 5.3
- Week 6
- Systems, Phase plane analysis
Secs. 7.7, Class notes
- Week 7
- Overflow and review