# Assignment 4

In this assignment, you will discuss some aspects of your name function as described in Assignment 3. Your discussion will take the form of a paper typeset in LaTeX. Your paper will have four sections.

- The first section will be titled "The <your name here> Function".
Obviously you put your own surname in the place indicated.
It will discuss the formulation of the function, and will include
at least three equations.
- The equation from Assignment 3 where you give the explicit definition of your function. Be sure to use the align environment, \left and \right on parentheses, and get your name in \text{}.
- One or more equations that tell how to evaluate the integral of \(\sin(a_i\pi x+a_0)\) over the interval from 0 to 1.
- An equation that gives the evaluation of the
integral of your name functoin over the interval from 0 to 1; e.g.
∫
_{0}^{1}F_{yourname}(x) dx = 3.25. Of course, this requires you to evaluate the integral of your name function over that interval. You should discuss -how- to evaluate that integral.

- The second section will be titled "A Plot", and
discuss a plot of your name function.
You should make such a plot by logging in to mathlab.math.wsu.edu
using a web browser; use the menu at top left to go to "software";
then select Matlab; then insert the following code into the
window provided and click "Run Matlab".
[x,y]=checkmyname('Trivium'); plot(x,y)

Of course, you will substitute -your- name for 'Trivium'. This will produce a plot rather like that in Figure 1.

Figure 1. The Trivium function - The third section will be named "Turning Points". You will
have noticed that when you ran the Matlab commands in the previous
section, it produced a list of x and y coordinates, labeled "turningPts".
Those coordinates are, in fact, approximations to the x and
y coordinates of the turning points of your name function.
In this section you will discuss a table of those turning points.
The table should mimic that in Table 1, except it will use
the information for -your- surname.
Index x y 1 0.06 -1.93 2 0.34 1.01 3 0.57 -0.55 4 0.83 1.22 Only two digit accuracy - Finally, there will be a reference section containing two items in your paper: one to Donald Knuth's TeXBook, and another to Leslie Lamport's LaTeX: A Document Preparation System. Look those references up and put them in using a thebibliography environment. If you feel strongly that you need to use BibTeX, you may.

The assignment is worth 50 points. You will turn it in by downloading the source from your overleaf site, and emailing the .zip file to the instructor by 9AM on Thursday, 29 September. If you do not use overleaf, you can just attach all the files (including the image) to an email message to the instructor.

The last test will take place at the final exam time,
Monday 12 December, 1:30-3:30. It will be written as a one-hour
in-class on-line test. As usual, you can use any resources
you want.
A
Sample Exam
is available.
Note that the URL for the exam will not be emailed to all.
If you need to take the exam from outside class, contact the
instructor to get on the email list.

Assignment B is posted.

Most recent scores are on-line at
My.math.
Check the Info page. Let the instructor know
if you find a discrepancy.