Your last three homework problems will be due by 11:59pm on Monday,
April 21.
Exam 3 notes:
There will be no preview of Exam 3 which covers Sections 3.6,
4.1-4.4, Appendix B, 6.1-6.5. The 19 homework problems from
those sections and their posted solutions will be the Exam 3
preview.
Exam 3 will consist of six problems which will be scored on the
same 12 point -> 10 point scale that was used on Exam 2.
Construction of the Exam 3 problems will follow these rules.
The number of parts per problem will be reduced when reasonable.
The reliance on advanced technology will be minimized.
The statements of each problem are allowed to differ from the posted homework problems by one sign, that is, a "+" may be changed to a "-", or vice versa.
The last major idea in our introduction to the Laplace transform is the operation
called convolution.
Convolution allows us to "reverse-engineer" a system. Usually from the parameters
of the system and the input of the driving function we deduce the output, or
solution of a system, but with convolution we can measure the output of a system
with a given input and deduce parameters of the system.
This week completes our introduction to (nearly) the full power of the Laplace
transform
managing discontinuous driving function,
managing impulses, and
predicting the response to a signal.
This is the beginning of what you may study later in control systems.
Our two main signals are the Heaviside function and the Dirac function.