Mathematics 3113-001 - Introduction to ODE - Fall 2003
Information about Exam III
Exam III will be in the usual classroom on November 20, 2003.
Along with your exam you will receive a copy of the table of
Laplace transforms that was distributed in class.
Only a basic, non-graphing calculator may be used. Actually, there is no
need to use a calculator. Scratch paper will be available, so all you will
need is something to write with.
The exam will be worth 55 points and will cover sections 7.1-7.6. The
approximate point breakdown by section of the text is as follows:
| 7.1 | 4
|
| 7.2 | 8
|
| 7.3 | 8
|
| 7.4 | 17
|
| 7.5 | 12
|
| 7.6 | 6
|
| Total | 55
|
The following topics will definitely be covered (of course, the exam is not limited to
these topics):
| 1.
| The definition of the Laplace transform.
|
| 2.
| Calculating Laplace transforms using the table of transforms.
|
| 3.
| Calculating inverse Laplace transforms using the table of transforms.
|
| 4.
| Using Laplace transforms to solve various types of
differential equations or systems of differential equations.
|
| 5.
| The convolution operation.
|
You will not need to know the definition of the Gamma function (which is on
the formulas handout anyway), but should know its basic properties such as
Gamma(x+1) = x Gamma(x) and
Gamma(n+1) = n! . The exam will emphasize problems that are
similar to homework problems.
Remember that you can find exams that I wrote for this course in previous
semesters, on the Course Pages From Previous Semesters page. For some
students, these are a useful study aid. But the lectures, homework, and
above description are your best guide to what is likely to be on our exam
this semester.