M171 - Alexiades - UTK Lab 2   ( as PDF )
Scripts, I/O, evaluating formulas
(always read the entire Lab before you start working on it)
(create folder Lab2 and work inside it)

---

A. Matlab scripts
  Matlab programs are called "m-files" or "scripts". They are PLAIN TEXT (ascii) files with name ending in ".m", like, file_name.m .
  They contain matlab commands, like you would enter in the command window, along with comments to document what is being done.

Learn about matlab scripts: work through  D: chap.2: §2.1-2.6 and b: chap.8

B. Work to do   In this lab you will be evaluating several formulas, in a script formulas.m .

For each part: ask the user to input the needed values, evaluate the formula using appropriate Matlab operations,
  and print out the result nicely, using fprintf .

For clarity, insert a label for each part: % (a), % (b), etc, and print a separation line after each part,
  like:   disp('==========================');   or   fprintf('========================= \n')

Figure out how to do it first on paper, then try it on Matlab. Then insert it into the script, and insert appropriate comments.

Formulas to evaluate:

  (a) Find the volume of a cylinder of diameter 2.4 and height 4.2. (V = π r² h).
  (b) Evaluate the rational function   y\; =\frac{\mathrm{x³-x²+x-4.3}}{\mathrm{x²\; +\; 0.005x-3.4}}   at   x=0.6 .
    [ in case it does not display as a fraction on your browser, it is: y = ( x³−x²+x−4.3 ) / ( x² + 0.005x−3.4 ) ]
  (c) With r₁ = 100 , r₂ = 200 , r₃ = 300,   evaluate   R\; =\frac{1}{\mathrm{1\; /\; r₁\; +\; 1\; /\; r_{\; 2}\; +\; 1\; /\; r_{\; 3}}},   = total resistance of three resistors in parallel.
    [ in case it does not display as a fraction on your browser, it is: R = 1 / ( 1/r₁ + 1/r₂ + 1/r₃ ) ]

  (d) Find the Cartesian coordinates (x, y) of a point with polar coordinates   ( r=−0.5 , θ=3π/4 ):   x = r cosθ ,   y = r sin θ .

  (e) A formula of your choice with at least two input variables.

C. Prepare the file Lab2.txt  for submission: Once you have your program working as you want, and well-commented:
  1. Turn on diary:   >> diary Lab2.txt
  2. Insert (as comment lines): Your Name, Lab2, Date
  3. Insert a listing of your program in the file:   >> type formulas.m
  4. Run your program:   >> formulas   and enter all the data, etc.
  5. Close the diary:   >> diary off
  6. Using a PLAIN TEXT editor, edit the file Lab2.txt to clean it up, label each part: (a), (b), etc,
   leaving only the correct version of what is asked for above.

D. Submit it on Canvas before the due date.