Course Syllabus

Mathematics 342, Spring Semester, 2013

Textbooks	Differential Equations and Boundary Value Problems (4th ed) by Edwards and Penney, Pearson Education, Inc., New Jersey. Linear Algebra with Applications (8th ed) by S.J. Leon, Pearson Education, Inc., New Jersey
Lecture	Mon. Wed., and Fri. 11:15-12:05, Smith Hall 218
Professor	Thomas Angell , 831-2250, Ewing Hall, 413.
Office Hours	Mon, Wed 3:00-4:30, or by appointment.
email	angell@math.udel.edu

Plan of Lectures

Other transform methods: the Fourier Transform and the Z-transform.

Text	Topic	Approximate No. of Lectures
Chapter 7 (Edwards & Penney)	Laplace transform methods and transfer functions.	5
Supplementary	as available
Chapter 5 (Edwards & Penney)	Linear Systems of Differential Equations	4
Supplementary	Linear Control Systems and the Controllability Problem	1
Chapter 6 (Edwards & Penney)	The Poincare Phase Plane: Linear Systems	2
Chapter 6	Almost Linear Systems and Stability	2
Supplementary	Liapunov Stability: the direct method	3
Chapter 6 (Edwards & Penney	Limit cycles, orbital stability, and Hopf bifurcation	2
Chapter 6	Nonlinear circuits: Lienard and van der Pol equations.	5
Chapter 3, 4 (Leon)	Review of change of bases and similarity transformations	2
Chapter 5 (Leon )	Orthogonality	4
Chapter 6 (Leon)	Hermetian Matrices, Quadratic Forms, Positive Definite Matrices	4

Grading

There will be no make-up examinations, except where mandated by university rules. If you should miss an examination, your other scores will be averaged provided you have a valid excuse from the Dean's Office or Health Center. Unexcused absences will result in a grade of zero. You must take the final on the announced day and time.
NO late homework will be accepted. Homework is to be handed in will generally be assigned on a Friday, and will be handed in the following Friday. There will be approximately five problems in each assignmant.
You may consult with others, but the work you hand in must be your own and NOT copied. For complete information on the University Policy on Academic Dishonesty, consult the on-line Student Handbook at

http://www.udel.edu/stuguide/12-13/code.html
Duplicates will receive a grade of F.
You are guaranteed the following grades if your percentage score meets the cut-offs: A^_ ≥90%,B^_ ≥80%, C^_ ≥70%, D^_ ≥60%, F < 60
Note that the drop date for the semester is Tuesday, April 16 which is after spring break.

Examination Dates