matlab
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| + | <p><div align="center"> | ||
| + | <h1>A Beginning MATLAB Tutorial for </h1></p> | ||
| + | <p><h1>the UC Davis Department of Mathematics</h1></p> | ||
| + | <p>by Sarah Williams<br> | ||
| + | <br> | ||
| + | updated 9/15/2003<br> | ||
| + | </div></p> | ||
| + | <p><hr> <font size="+1">Introduction and Overview</font><br></p> | ||
| + | <p><ul> | ||
| + | <li>What is MATLAB?</li> | ||
| + | <li>Why use MATLAB? Why not?</li> | ||
| + | <!-- <li>What to expect from this workshop and beyond </li> --></p> | ||
| + | <p></ul> | ||
| + | <font size="+1">Command-Line MATLAB</font><br></p> | ||
| + | <p><ul> | ||
| + | <li>Launch MATLAB</li> | ||
| + | <li>Generate matrices</li> | ||
| + | <li>Implement functions</li> | ||
| + | <li>Write a small program that generates a plot</li></p> | ||
| + | <p></ul> | ||
| + | <font size="+1">M-File MATLAB</font><br></p> | ||
| + | <p><ul> | ||
| + | <li>Directory Structure (where will you save your file?)</li> | ||
| + | <li>Put your small program into an m-file, and run it</li> | ||
| + | <li>Scripts vs. Functions: write a function m-file</li> | ||
| + | <li>Get your Scripts and Functions Talking</li> | ||
| + | <li>Add More Features and Get More Help<br><p> </li></p> | ||
| + | </p> | ||
| + | <p></ul> | ||
| + | <font size="+1"></font> | ||
| + | <ul></p> | ||
| + | <p></ul></p> | ||
| + | <p><hr width="100%" size="2"><font size="+1">Introduction and Overview</font><br> | ||
| + | <br></p> | ||
| + | <p>Please note that MatLAB can be accessed both on the department computers and from home via SSH. From home, one can even combine SSH with X Windows to use the graphical version of MatLAB.</p> | ||
| + | <h2><h3><a name="IntroA"></a>What is MATLAB?</h3></h2> | ||
| + | <p> MATLAB is both a programming language and a software package.  "MATLAB" | ||
| + | stands for "Matrix Laboratory."  Accordingly, many features exploit | ||
| + | matrices, and assume you are working with matrices.  MATLAB | ||
| + | generally solves | ||
| + | problems numerically, not symbolically (compared to Mathematica).<br> | ||
| + | <br></p> | ||
| + | <p><h3><a name="IntroB"></a>Why use MATLAB? Why not?</h3> | ||
| + | Pros:<br></p> | ||
| + | <p><ul> | ||
| + | <li>It's easy to start using MATLAB, with or without prior programming | ||
| + | experience.</li><p> <li>MATLAB has a lot of built-in mathematical knowledge; e.g. | ||
| + | MATLAB has a function to find the 1-, 2-, or max-norm of a vector -- you | ||
| + | don't have to program this yourself.<br> | ||
| + | </li> | ||
| + | <li>MATLAB has a lot of very powerful "toolboxes" to work in | ||
| + | specific areas of math (optimization, wavelets, etc.)</li> | ||
| + | <li>It's easy to produce nice graphs.</li></p> | ||
| + | </p> | ||
| + | <p></ul> | ||
| + | Cons:<br> | ||
| + | <ul> | ||
| + | <li>MATLAB has a lot of "overhead," like graphics and notation that make | ||
| + | it easy to use.  This can slow it down compared to more bare-bones programming | ||
| + | languages (like C, FORTRAN). MATLAB may be too slow to solve some | ||
| + | large problems.</li><p> <li>MATLAB is not free - although we have good access at school (and you | ||
| + | can run the school's version remotely), if you happen to want your own private | ||
| + | copy, it costs $100 for students, and more for each toolbox.</li> | ||
| + | </ul></p> | ||
| + | </p> | ||
| + | <p><!-- | ||
| + | <h3>What to expect from this workshop and beyond</h3> | ||
| + | After this workshop, you will be able to:<br></p> | ||
| + | <p><ul> | ||
| + | <li>complete a practice MATLAB homework assignment (based | ||
| + | on mat228a)</li> | ||
| + | <li>write a program, save it, run it, edit it, and run it again</li><p> <li>save subroutines in different files and call them from the | ||
| + | main program<br> | ||
| + | </li> | ||
| + | <li>make simple graphs</li> | ||
| + | <li>look for more help in the MATLAB documentation</li></p> | ||
| + | </p> | ||
| + | <p></ul> | ||
| + | After working with MATLAB this quarter, you can expect to:<br></p> | ||
| + | <p><ul> | ||
| + | <li>be familiar with a lot of useful functions built into MATLAB</li> | ||
| + | <li>recognize common error messages and how to fix them</li> | ||
| + | <li>make more complex graphs<br> | ||
| + | </li></p> | ||
| + | <p></ul> | ||
| + | --></p> | ||
| + | <p><hr width="100%" size="2"> | ||
| + | <ul></p> | ||
| + | <p></ul> | ||
| + | <font size="+1">Command-Line MATLAB</font><br></p> | ||
| + | <p><h3>Launch MATLAB</h3></p> | ||
| + | <p><ul> | ||
| + | <li>Click (once) on the MATLAB icon. (Enter your password | ||
| + | when prompted.)</li> | ||
| + | <li>OR from the terminal window type "ssh sine" (enter) and then | ||
| + | "matlab"</li></p> | ||
| + | <p></ul></p> | ||
| + | <p><h3>Generate matrices</h3></p> | ||
| + | <p><ul> | ||
| + | <li>Find the panel called the Command Window.  This is where | ||
| + | we will be working.</li> | ||
| + | <li>Type the following commands:</li><p> <ul> | ||
| + | <li>In what follows, the <font | ||
| + | face="Courier New, Courier">>></font> symbol is meant to represent | ||
| + | the MATLAB prompt (i.e., don't type this yourself).</li><p> <li>Hit the return key at the end of each line; observe the | ||
| + | result and try to understand the cause-and-effect of your commands. | ||
| + | </li></p> | ||
| + | </p> | ||
| + | <p> </ul> | ||
| + | <br> | ||
| + | <font face="Courier New, Courier">>> A = [1 2 3; 4 5 6]<br> | ||
| + | >> B = [7; 8; 9] <br> | ||
| + | >> C = A*B<br><p> <br> | ||
| + | </font> <li>Now try a slightly different version of the same | ||
| + | thing:<br> | ||
| + | <br> | ||
| + | <font face="Courier New, Courier">>> clear<br> | ||
| + | >> A = [1 2 3; 4 5 6];</font> | ||
| + | (note the semicolon at the end)<br><p> <font face="Courier New, Courier">>> B = [7 8 9]'; </font> | ||
| + | (note the apostrophe)<br> | ||
| + | <font face="Courier New, Courier">>> C = A*B; <br> | ||
| + | >> C<br> | ||
| + | >> C'<br></p> | ||
| + | </p> | ||
| + | <p> <br> | ||
| + | </font></li> | ||
| + | <li>Accessing matrix entries (vector components):<br> | ||
| + | <br> | ||
| + | <font face="Courier New, Courier"> | ||
| + | >></font> A<br> | ||
| + | <font face="Courier New, Courier"> | ||
| + | >></font> A(1,1)<br><p> <font face="Courier New, Courier"> | ||
| + | >></font> A(1,2)<br> | ||
| + | <font face="Courier New, Courier"> | ||
| + | >></font> A(2,1)<br> | ||
| + | <font face="Courier New, Courier"> | ||
| + | </font><font face="Courier New, Courier"> | ||
| + | >></font> B<br> | ||
| + | <font face="Courier New, Courier">>></font> B(1,1)<br> | ||
| + | <font face="Courier New, Courier"> | ||
| + | >></font> B(1)<br></p> | ||
| + | <p> <font face="Courier New, Courier"> | ||
| + | >></font> B(3)<br> | ||
| + | <br> | ||
| + | </li> | ||
| + | <li>A very handy way of making uniformly spaced "grids" in MATLAB:<br> | ||
| + | <br> | ||
| + | <font face="Courier New, Courier">>> clear<br></p> | ||
| + | <p> >> X = 1:5 <br> | ||
| + | >> Y = 3:0.3:5 <br> | ||
| + | >> Z = [0:(pi/4):(2*pi)]'<br> | ||
| + | <br> | ||
| + | </font></li> | ||
| + | <li>To review:</li></p> | ||
| + | </p> | ||
| + | </p> | ||
| + | <p> <ul> | ||
| + | <li>Put square brackets [] around matrices.</li> | ||
| + | <li>You will get a single row if you just type numbers in the | ||
| + | brackets.  To go to the next row, type a semicolon.</li> | ||
| + | <li>Use * for matrix multiplication (works for regular multiplication, | ||
| + | too).</li> | ||
| + | <li>MATLAB repeats what you just typed.  To suppress this, | ||
| + | put a semicolon ; at the end of the line.</li> | ||
| + | <li>To see the value of a matrix (or other variable) you've | ||
| + | entered, just type its name and hit return.<br><p> </li> | ||
| + | <li>An apostrophe gives you the transpose (the complex conjugate | ||
| + | transpose, in fact) of the matrix.<br> | ||
| + | </li> | ||
| + | <li>To refer to the component of matrix A in the mth row down | ||
| + | and nth column over, type A(m,n).  If A is a row or column vector, | ||
| + | you can just type A(j) to see the jth component.  <br> | ||
| + | </li> | ||
| + | <li>The colon : notation gives you uniformly spaced grids (row | ||
| + | or column vectors).  The first number is the left endpoint of the | ||
| + | grid.  If you include a middle number, it's the grid spacing (delta | ||
| + | x); if you don't state a value here, MATLAB assumes you want a value of | ||
| + | 1.  The last number is the maximum right endpoint of the grid.</li></p> | ||
| + | <p> <li>The command "clear" erases all the variable values you've | ||
| + | assigned so you can start fresh.  Use this often -- MATLAB has a | ||
| + | bad habit of leaving remnants of old variables lying around unless you explicitly | ||
| + | clear them out.   <br> | ||
| + | </li></p> | ||
| + | </p> | ||
| + | <p> </ul></p> | ||
| + | </p> | ||
| + | <p></ul></p> | ||
| + | <p><h3>Implement functions</h3></p> | ||
| + | <p><ul> | ||
| + | <li>Type the following commands:<br><p> <br> | ||
| + | <font face="Courier New, Courier">>> clear <br> | ||
| + | >> c = -pi/2; <br> | ||
| + | >> X = [0:0.1:1]'; | ||
| + | <br> | ||
| + | <br> | ||
| + | >> sin(c)<br></p> | ||
| + | <p> </font><br> | ||
| + | Now, type the "up" arrow. | ||
| + | MATLAB will display the last thing you typed. | ||
| + | (Type "up" again and you can move backwards through your command | ||
| + | history.) Use the arrow keys | ||
| + | to edit the last line to read:<br> | ||
| + | <br> | ||
| + | <font face="Courier New, Courier"> >> sin(X) <br> | ||
| + | <br> | ||
| + | >> sqrt(c) </font></p> | ||
| + | <p> (Note the imaginary value.)<br> | ||
| + | <font face="Courier New, Courier"> >> sqrt(abs(c))<br> | ||
| + | <br> | ||
| + | >> Y = exp(X)<br> | ||
| + | >> Z = log(Y)<br><p> </font></li></p> | ||
| + | </p> | ||
| + | </p> | ||
| + | <p></ul></p> | ||
| + | <p><h3>Write a small program that generates a plot</h3></p> | ||
| + | <p><ul> | ||
| + | <li>Type the following commands to plot a semi-circle:<br> | ||
| + | (Note: <font face="Courier New,Courier">.^</font> gives the component-wise | ||
| + | square, i.e., it raises each entry of X to the power of 2.) <br><p> <font face="Courier New, Courier"><br> | ||
| + | >> clear <br> | ||
| + | >> X = -2:0.1:2; | ||
| + | <br> | ||
| + | >> Y = sqrt(4-(X.^2));</font><br> | ||
| + | <font face="Courier New, Courier">>> plot(X,Y) <br><p> </font></li></p> | ||
| + | </p> | ||
| + | </p> | ||
| + | <p></ul></p> | ||
| + | <p><hr width="100%" size="2"><br> | ||
| + | <font size="+1">M-File MATLAB</font><br> | ||
| + | Typing commands directly to MATLAB is well and good, and you will | ||
| + | want to experiment at the command line frequently.  However, for | ||
| + | homework assignments and other distinct problems, you will want to keep | ||
| + | your program in a file, so that you can edit it and run it again.  You | ||
| + | will also want to make files that call each other -- for example, you could | ||
| + | have a plotting routine that uses the format you like, and each of your | ||
| + | programs could call this routine when it comes time to make a graph.<br></p> | ||
| + | <h2><h3>Directory Structure (where will you save your file?)</h3></h2> | ||
| + | <p> Now is the time when we talk about Linux.  If you already | ||
| + | know which directory you will save your program files in, skip to the | ||
| + | next section.<br></p> | ||
| + | <p><ul> | ||
| + | <li>Put MATLAB aside for a moment.  (Minimize the window | ||
| + | if you like.)</li> | ||
| + | <li>Click on the "Localhost" icon to get a new terminal window.</li> | ||
| + | <li>Initially, you are "sitting" at your "home" directory.</li> | ||
| + | <li>Type ls to list the subdirectories.</li><p> <li>Do you have a subdirectory where you put your coursework? | ||
| + |  Would you like one?</li> | ||
| + | <li>To create a subdirectory called Courses, type mkdir Courses | ||
| + | (you can change Courses to any other name you prefer)</li> | ||
| + | <li>Now type cd Courses (cd means change directory)</li> | ||
| + | <li>Now you are sitting at your Courses directory.</li> | ||
| + | <li>Type ls to list what's here.  Nothing, right?  Let's | ||
| + | put something here.</li></p> | ||
| + | <p> <li>Type mkdir Math228a to make a directory for numerics.</li> | ||
| + | <li>Now type ls.  Can you see your new folder?  This | ||
| + | is a good place to store your MATLAB programs.</li> | ||
| + | <li>You can exit the terminal window now (type exit) and bring | ||
| + | your MATLAB window back.<br> | ||
| + | </li></p> | ||
| + | </p> | ||
| + | <p></ul></p> | ||
| + | <p><h3>Put your small program into an m-file, and run it</h3></p> | ||
| + | <p><ul> | ||
| + | <li>At the top left of the MATLAB window, there is an icon that | ||
| + | looks like a "new document" button.  Click (once) on this.</li> | ||
| + | <li>A blank editor window will open.  This is where | ||
| + | you type your program.  Type:<br> | ||
| + | (Note: in my experience, trying to copy and paste text into the MATLAB | ||
| + | editor crashes the whole thing.  You can try it, but you'll learn | ||
| + | more if you type the text yourself anyway.)<font | ||
| + | face="Courier New, Courier"> <br> | ||
| + | <br><p> % My Name<br> | ||
| + | </font><font face="Courier New, Courier">% The Date<br> | ||
| + | % The purpose of this program is to plot a semi-circle on [-2,2].<br> | ||
| + | </font><font face="Courier New, Courier"> X = -2:0.1:2;<br> | ||
| + | Y = sqrt(4-(X.^2));<br></p> | ||
| + | <p> plot(X,Y)</font><font face="Courier New, Courier"><br> | ||
| + | <br> | ||
| + | </font></li> | ||
| + | <li>The percent signs % indicate comments.  You can put | ||
| + | these anywhere in a program, to explain your code.  Use comments | ||
| + | as often as possible; otherwise, you will not remember why you did what | ||
| + | you did.<br> | ||
| + | </li> | ||
| + | <li>Click on the File menu, and choose "Save As."</li></p> | ||
| + | <p> <ul> | ||
| + | <li>You want the top field to contain the right directory (the | ||
| + | one you created in the last step).  </li> | ||
| + | <li>In the bottom field, type the name of the program.  Call | ||
| + | it circle1.m</li></p> | ||
| + | <p> </ul> | ||
| + | <li>If your semi-circle figure is still open from before, close | ||
| + | it.</li> | ||
| + | <li>Click on the command window.</li><p> <li>Take a look at the top of the window.  There is a field | ||
| + | labeled "Current Directory."  Is it looking in the right place for | ||
| + | your program?</li></p> | ||
| + | <p> <ul> | ||
| + | <li>If not, you can type "cd" and "ls' | ||
| + | in MATLAB just like you can in the terminal window.  You might need | ||
| + | to type something like<br> | ||
| + | <font face="Courier New, Courier, monospace">>> cd Courses/Math228a</font></li></p> | ||
| + | <h2> </ul></h2> | ||
| + | <p> <li> type ls | ||
| + | to see if your program is there. To run your program, type its name, e.g.<br> | ||
| + | <font face="Courier New, Courier, monospace">>>circle1</font><br> | ||
| + | </li></p> | ||
| + | </p> | ||
| + | </p> | ||
| + | <p></ul></p> | ||
| + | <p><h3>Scripts vs. Functions: write a function m-file</h3></p> | ||
| + | <p><ul> | ||
| + | <li>The program you just wrote, circle.m, is called a "script" | ||
| + | - it runs straight from beginning to end, like a script to a play.</li><p> <li>In MATLAB, you can also write a program that is a function.</li></p> | ||
| + | <p> <ul> | ||
| + | <li>A function usually takes input and returns output.</li></p> | ||
| + | <p> </ul></p> | ||
| + | <p> <ul> | ||
| + | <li>A function file must start with a "function declaration." | ||
| + |  We will see an example below.</li></p> | ||
| + | <h2> </ul></h2> | ||
| + | <p> <li>Open a blank program file.  Type:<br> | ||
| + | <br> | ||
| + | <font face="Courier New, Courier">% My Name<br> | ||
| + | % The Date<br> | ||
| + | % The purpose of this program is to plot a semi-circle of a<br> | ||
| + | % given radius.<br><p> <br> | ||
| + | function Y = circle2(radius)<br> | ||
| + | X = -radius:0.1:radius;<br> | ||
| + | Y = sqrt(radius^2-(X.^2));<br> | ||
| + | plot(X,Y)<br> | ||
| + | <br> | ||
| + | </font></li></p> | ||
| + | </p> | ||
| + | <p> <li>The line <font face="Courier New, Courier">function | ||
| + | Y = circle2(radius)</font> is the function declaration.  Note:</li></p> | ||
| + | <p> <ul> | ||
| + | <li>The word "function" must be the first (non-comment) word | ||
| + | of the program.</li> | ||
| + | <li>"Y" is the value that this function returns, or calculates, | ||
| + | a.k.a. the output.</li> | ||
| + | <li>"radius" is the name of the variable taken as input.</li><p> <li>"circle2" should be both the name of the function and the name | ||
| + | that you use to save the file.</li></p> | ||
| + | <p> </ul> | ||
| + | <li>To run your program for different radii, type:<br> | ||
| + | <font face="Courier New, Courier, monospace"><br> | ||
| + | >>circle2(2)<br> | ||
| + | </font><font face="Courier New, Courier, monospace">>>circle2(4)</font>;<br><p> <font face="Courier New, Courier, monospace">>>circle2(1);<br> | ||
| + | <br> | ||
| + | </font></li> | ||
| + | <li>Note that the figure is replaced each time you call the function, | ||
| + | and that MATLAB automatically chooses the size of the x- and y-axes.<br> | ||
| + | </li></p> | ||
| + | </p> | ||
| + | </p> | ||
| + | </p> | ||
| + | <p></ul> | ||
| + | <br></p> | ||
| + | <p><h3>Get your scripts and functions talking</h3></p> | ||
| + | <p><ul> | ||
| + | <li>Open a blank program file.  Type:<br> | ||
| + | <br> | ||
| + | <font face="Courier New, Courier">% My Name<br> | ||
| + | % The Date<br> | ||
| + | % The purpose of this program is to plot semi-circles <br><p> % with radius = 1,2,3, and 4.<br> | ||
| + | <br> | ||
| + | for j = 1:4<br> | ||
| + |   circle2(j);<br> | ||
| + | end<br> | ||
| + | <br><p> </font></li> | ||
| + | <li>Save the file (in the same directory as circle2.m) as makecircles.m</li> | ||
| + | <li>makecircles.m is a script.  It is "calling" circle2.m, which | ||
| + | is a function.  They're talking to each other.  (Who is saying what?)<br> | ||
| + | </li> | ||
| + | <li>Close any plots that are still open.</li> | ||
| + | <li>To run the program, type:<br></p> | ||
| + | <p> <br> | ||
| + | <font face="Courier New, Courier, monospace">>> clear<br> | ||
| + | >> makecircles</font><br> | ||
| + | <br> | ||
| + | </li> | ||
| + | <li>Did you get what you expected?  To make the program produce | ||
| + | 4 different plots without overwriting, we need to make a small edit:</li></p> | ||
| + | <p> <ul> | ||
| + | <li>open your circle2.m file (probably it is still open in the editor | ||
| + | window and you just need to click on its tab at the bottom of the window)</li> | ||
| + | <li>insert a line that says "<font | ||
| + | face="Courier New, Courier, monospace">figure</font>" right above <font | ||
| + | face="Courier New, Courier, monospace">plot(X,Y)</font>.  This means | ||
| + | "create a new figure (don't overwrite the last one)."</li> | ||
| + | <li>Now your program should read as follows:<br> | ||
| + | <br><p> <font face="Courier New, Courier">% My Name<br> | ||
| + | % The Date<br> | ||
| + | % The purpose of this program is to plot a semi-circle of a<br> | ||
| + | % given radius.<br> | ||
| + | <br> | ||
| + | function Y = circle2(radius)<br><p> X = -radius:0.1:radius;<br> | ||
| + | Y = sqrt(radius^2-(X.^2));<br> | ||
| + | <font face="Courier New, Courier, monospace">figure</font><br> | ||
| + | plot(X,Y)</font><br> | ||
| + | <br> | ||
| + | </li></p> | ||
| + | <h2> </ul></h2> | ||
| + | <p> <li>Save circle2.m, close any figures that are open, and run makecircles | ||
| + | again.<br> | ||
| + | <br> | ||
| + | </li> | ||
| + | <li>A different option: make the program produce one plot showing all | ||
| + | 4 circles</li></p> | ||
| + | <p> <ul> | ||
| + | <li>open your circle2.m file</li> | ||
| + | <li>"comment out" the "<font | ||
| + | face="Courier New, Courier, monospace">figure</font>"  line.  That | ||
| + | is, put a <font face="Courier New, Courier, monospace">%</font> in front | ||
| + | of it.</li><p> <ul> | ||
| + | <li>MATLAB will not read your comments</li> | ||
| + | <li>"commenting out" can be better than deleting, because you can | ||
| + | easily go back if you change your mind. (by erasing the <font | ||
| + | face="Courier New, Courier, monospace">%</font> mark)</li></p> | ||
| + | <p> </ul> | ||
| + | <li>above <font face="Courier New, Courier, monospace">plot(X,Y)</font>, | ||
| + | add a line that says "<font face="Courier New, Courier, monospace">hold | ||
| + | on</font>."</li><p> <li>Now your program should read as follows:<br> | ||
| + | <br> | ||
| + | <font face="Courier New, Courier">% My Name<br> | ||
| + | % The Date<br> | ||
| + | % The purpose of this program is to plot a semi-circle of a<br> | ||
| + | % given radius.<br><p> <br> | ||
| + | function Y = circle2(radius)<br> | ||
| + | X = -radius:0.1:radius;<br> | ||
| + | Y = sqrt(radius^2-(X.^2));<br> | ||
| + | <font face="Courier New, Courier, monospace">%figure<br> | ||
| + | </font>hold on<br></p> | ||
| + | </p> | ||
| + | </p> | ||
| + | <p> plot(X,Y)</font><br> | ||
| + | <br> | ||
| + | </li> | ||
| + | </ul> | ||
| + | <li>Save cirlce2.m, close any figures that are open, and run makecircles | ||
| + | again.</li> | ||
| + | <li>To save your plot:</li> | ||
| + | <ul></p> | ||
| + | <p> <li>At the top of the plot window, click on File</li> | ||
| + | <li>click on Export</li> | ||
| + | <li>Verify that it's going in the right directory, give it a name in | ||
| + | place of where it now says *, (try cplot1), and choose a format (eps or color | ||
| + | eps is good)<br> | ||
| + | <br> | ||
| + | </li> | ||
| + | </ul> | ||
| + | <ul></p> | ||
| + | <p> </ul></p> | ||
| + | </p> | ||
| + | </p> | ||
| + | </p> | ||
| + | </p> | ||
| + | </p> | ||
| + | <p></ul></p> | ||
| + | <p><h3>Add More Features and Get More Help<br> | ||
| + | </h3> | ||
| + | <ul> | ||
| + | <li>Plots should have titles.  How do you add a title?</li> | ||
| + | <ul> | ||
| + | <li>In the MATLAB window, click on the Help menu item.  From the | ||
| + | list that drops down, choose "MATLAB Help."</li><p> <li>You'll get a new window full of help.  </li> | ||
| + | <li>In the left-hand pane, there are 4 tabs: Contents, Index, Search, | ||
| + | and Favorites.  Click on Search.</li> | ||
| + | <li>In the blank box, type "title" (and hit return)</li> | ||
| + | <li>double-click on the first "hit" -- the one that simply says "title."</li> | ||
| + | <li>Read the help in the right-hand pane, and see if you can add a line | ||
| + | to your program so that your plot will have a title.<br> | ||
| + | <br></p> | ||
| + | <p> </li> | ||
| + | </ul> | ||
| + | <li>Maybe you'd rather change the x-axis of your plot, so that it shows | ||
| + | [-5,5].</li> | ||
| + | <ul> | ||
| + | <li>Back in the help window, search for "axis"</li> | ||
| + | <li>double-click on the "hit" that looks the best</li> | ||
| + | <li>go to it!<br></p> | ||
| + | <p> </li> | ||
| + | </ul> | ||
| + | </ul> | ||
| + | <br> | ||
| + | </p> | ||
| + | </p> | ||
| + | </html> | ||
matlab.txt · Last modified: 2016/02/16 09:20 by jasnyder
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