Math 211 Slides --- Fall 2001
Intended for Section 3.
There are two choices for each lecture. The first one is in color and
is meant for viewing online. The second is meant for printing. It is
in black & white, and it is formatted with 3 slides per page along the
left-hand margin, with half of the page available for taking notes.
The slides are .pdf files and can be viewed in Adobe Acrobat Reader.
However, it is recommended that you use version 4 or later of the
reader to maximize compatibility. See the Math 211 FAQ
for details about obtaining the latest version of the reader.
Some people are having trouble printing pdf files. If this happens
to you, try to download the document by right-clicking on the link and
choosing "Save link as ...". Remember where on your computer you save
the document (the desktop is a good place for this). Then
double-click on the icon to open the document in Adobe Acrobat
Reader. You should be able to print from there.
- Lecture #1, Introduction, August 27, 2001
(For viewing)
(For printing.)
- Lecture #2, Solutions of Differential Equations, August 29, 2001
(For viewing)
(For printing.)
- Lecture #3, Solutions to Separable Equations, August 31, 2001
(For viewing)
(For printing.)
- Lecture #4, Models of Motion, September 5, 2001
(For viewing)
(For printing.)
- Lecture #5, Linear Equations, September 7, 2001
(For viewing)
(For printing.)
- Lecture #6, Mixing Problems, September 10, 2001
(For viewing)
(For printing.)
- Lecture #7, Existence & Uniqueness, September 12, 2001
(For viewing)
(For printing.)
- Lecture #8, Qualitative Analysis, September 14, 2001
(For viewing)
(For printing.)
- Lecture #9, Population Models, September 17, 2001
(For viewing)
(For printing.)
- Lecture #10, Financial Models, September 19, 2001
(For viewing)
(For printing.)
- Lecture #11, The use of MATLAB, September 21, 2001. No slides.
- Lecture #12, Euler's Method, September 24, 2001
(For viewing)
(For printing.)
- Lecture #13, Runge-Kutta Methods, September 26, 2001
(For viewing)
(For printing.)
Download
odesolvedemo.m for a comparison of the errors made by
Euler's method and the Runge-Kutta methods. This is a MATLAB
program. It is already available on owlnet. Simply execute
odesolvedemo. odesolvedemo.m is also a good
example of MATLAB programming.
- Lecture #14, MATLAB' Solvers, September 28, 2001
(For viewing)
(For printing.)
- Lecture #15, Linear Systems of Equations, October 1, 2001
(For viewing)
(For printing.)
- Lecture #16, Geometry of Solution Sets, October 3, 2001
(For viewing)
(For printing.)
- Lecture #17, Solving Systems of Equations, October 5, 2001
(For viewing)
(For printing.)
- Lecture #18, Properties of Solution Sets, October 8, 2001
(For viewing)
(For printing.)
- Lecture #19, Nullspaces and Subspaces, October 10, 2001
(For viewing)
(For printing.)
- Lecture #20, Basis of a Subspaces, October 12, 2001
(For viewing)
(For printing.)
This lecture will be given by Professor Brendan Hassett, who may
or may not use these slides.
- Lecture #21, Determinants, October 17, 2001
(For viewing)
(For printing.)
- Lecture #22, Systems of ODEs, October 19, 2001
(For viewing)
(For printing.)
- Lecture #23, Qualitative Analysis, October 22, 2001
(For viewing)
(For printing.)
- Lecture #24, Linear Systems of ODEs, October 24, 2001
(For viewing)
(For printing.)
- Lecture #25, Exponential Solutions, October 26, 2001
(For viewing)
(For printing.)
- Complex Numbers and Matrices, October 29, 2001
(For viewing)
(For printing.)
- Lecture #26, Solutions of a Planar System, October 29, 2001
(For viewing)
(For printing.)
- Lecture #27, Planar System, October 31, 2001
(For viewing)
(For printing.)
- Lecture #28, Phase Plane Portraits, November 2, 2001
(For viewing)
(For printing.)
- Lecture #29, Phase Plane Portraits, higher Dimensional Systems,
November 5, 2001
(For viewing)
(For printing.)
- Lecture #30, The Exponential of a Matrix, November 7, 2001
(For viewing)
(For printing.)
- Lecture #31, The Exponential of a Matrix, Stability, November 9, 2001
(For viewing)
(For printing.)
- Lecture #32, Higher Order Equations, Harmonic Motion, November 12, 2001
(For viewing)
(For printing.)
- Lecture #33,Harmonic Motion, Inhomogeneous Equations, November 14, 2001
(For viewing)
(For printing.)
- Lecture #34, Inhomogeneous Equations, Forced Harmonic Motion,
November 16, 2001
(For viewing)
(For printing.)
- Lecture #35, Forced Harmonic Motion, November 19, 2001
(For viewing)
(For printing.)
- Lecture #36, Forced Harmonic Motion, Nonlinear Systems,
November 21, 2001
(For viewing)
(For printing.)
- Lecture #37, The Linearization of Nonlinear Systems,
November 26, 2001
(For viewing)
(For printing.)
- Lecture #38, Linearization in Higher Dimensions,
November 28, 2001
(For viewing)
(For printing.)
- Lecture #39, Invariant Sets and Nullclines
November 30, 2001
(For viewing)
(For printing.)
- Lecture #40, Long Term Behavior of Solutions to Planar Systems
December 3, 2001
(For viewing)
(For printing.)
- Lecture #41, Limit Cycles and the Pendulum
December 5, 2001
(For viewing)
(For printing.)
- Lecture #42, Predator-Prey (For viewing)
(For printing.) December 7, 2001
Guest lectures in Section 4.