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Instructor:
Malgorzata Peszynska, Professor of Mathematics
Class:
MWF 2:00-2:50pm, FAIR 305
Course information: Credits: 3.00.
Student preparation: the students should have completed MTH
256 or equivalent, and MTH 341.
Class announcement.
Textbook:
- REQUIRED: [HSD]
M. Hirsch, S. Smale, and R. Devaney,
"Differential Equations,
Dynamical Systems, and an Introduction to Chaos",
Academic Press, 3rd
Edition, 2012
- SUPPLEMENTARY: [STR]
"Nonlinear dynamics and Chaos : with applications to physics, biology, chemistry, and engineering" by Steven H. Strogatz is available on Reserve in Valley Library
- SUPPLEMENTARY: [POL]
Computer utilities DFIELD and PPLANE by John Polking
Syllabus: This class covers the basic theory and applications
of systems of ordinary differential equations (ODEs). We will discuss
the methods of solution and qualitative analysis of linear systems,
and of linearizations of nonlinear systems. We will study phase
portraits, equilibria, bifiurcations, and cycles, and develop
applications to mechanics, chemical reactions, biology, and circuit
theory, and in particular, conservative and reversible systems.
Grading: a grade for the class will be established based on
the Homework grade (40%),
and Exam grade (60%) from two exams worth 30% each.
No late HW will be accepted but one lowest HW grade will be dropped.
Extra credit up to 10% of the grade can be earned for individual
assignments negotiated with the instructor (for example,
additional problem solving).
Exams: Midterm: Monday 2/10/2014. Final Exam: Tuesday 3/18/2014, 2:00pm.
There will be no make-up exams.
Attendance: is not taken but students are responsible for the
material covered in class. Daily
schedule will be posted as a guide to the class activities.
Course Learning Outcomes: A successful student who has completed
MTH 480 will be able to
- Solve linear systems of differential equations and carry out linearizations of nonlinear systems
- Construct, interpret, and analyze phase plane diagrams for planar systems of ODEs
- Understand the concepts and types of bifurcation, equilibria,
oscillations, and chaos
- Interpret and analyze models using systems of ODEs for applications
to mechanics, chemical reactions, biology, and circuit theory
Special arrangements for students with disabilities: please contact the instructor and Services for Students with
Disabilities prior to or during the first week of the term to discuss
accommodations. Students who believe they are eligible for
accommodations but who have not yet obtained approval through DAS
should contact DAS immediately at 737-4098.
Course drop/add information is at
http://oregonstate.edu/registrar/.
Student Conduct: All students are expected to obey to OSU’s student
conduct regulations, see
OSU’s Statement of Expectations for Student Conduct
. See also
Academic or Scholarly Dishonesty link.
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