Math 2410 TEST 2 will be on MONDAY NOVEMBER 2 (based on HW for Chapters 2 and 3) will have problems based on the following questions. One hand written two-sided page of notes is allowed. Calculators are not allowed.

1. find the general solution of a second order differential equation of a damped harmonic oscillator
2. find the general solution of a first order partially decoupled sysytem of differential equations
3. find the general solution of a first order linear sysytem of differential equations with constant coeffcients
4. find the solution of an initial value problem for these equations and systems
5. sketch solutions
6. Euler's method for these systems

Other resources besides the textbook, HW and the Q-center: most of the material for this test is covered in Calculus. There are lots of places on the internet that can provide some help. Wolfram alpha can solve most of the problems. The linear approximation in calculus is essential for the Euler's method. The best calculus textbook is by Stewart. Concerning differential equations, there are video lectures recorded at UConn and MIT. However note that these videos do not substitute for doing the HW.
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A. Teplyaev
Department of Mathematics
University of Connecticut
Storrs, CT 06269-3009 USA
http://www.math.uconn.edu/~teplyaev
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