Math 274 - Exam 3 - F 2018
Wednesday 7 Nov 2018, 6:10-8:00
The following information will be given.
You are responsible for all prerequisite information, this is a partial list.
The exam is written to take about 55 minutes. You will have 110 minutes to complete the exam.
The exam covers Sections 5.1 - 7.3 Expectations from each section are listed below.
- 5.1 - Know the definition of the Laplace transform and be able to compute a transform using the definition.
- 5.2 - The important properties are included on the given information. Be sure that you can use them.
- 5.3 - Know the basic forms for partial fraction decomposition. Know how to complete the square. Know how to use the given table.
- 5.4 - Know how to solve an initial value problem using Laplace transforms.
- 5.5 - Know how to express a piecewise defined function using Heaviside functions and then determine its Laplace transform, and find the inverse of such. Be sure to use the translation properties on the given table. Be able to compute the Laplace transform of a periodic function, and the inverse of such.
- 5.6 - Understand the definition of the Dirac delta function and be able to use the property on the given table. Additionally, understand the relation between impulse and momentum.
- 5.7 - Know the definition of the convolution and be able to compute a convolution. Be able to use the convolution property on the given table. "Express your solution in terms of a convolution," means we expect something along the line of f(t)*g(t). Unless otherwise stated, you are expected to evaluate any convolutions that arise in your work.
- Chapter 7 - Be able to multiply matrices (7.1), express a system of equations in matrix form (7.2), and solve a system of equations (7.3).