Math 84  Spring 2014  100% on line
MTH 84: Introduction to LaTeX Explores the power of LaTeX for use at school or home for mathematical documents and other applications. 
 07Apr2014 thru 21May2014 enroll here!
 CRN 28302(1credit class)
 100% on line  no campus requirements
What is LaTeX?
LaTeX is one of the definitive ways of writing professional quality Mathematical documents. Here are some of the many good things about LaTeX:
 it is open source, and is freely available for all operating systems
 it handles chapter, section, figure, table, equation, etc enumeration and cross referencing elegantly, efficiently, and easily
 it is easily customizable through the use of packages and newcommands
 LaTeX files are stored as plain text;
 this makes for small file sizes that are easily edited and searched
 the files are as stable as the text editor that you use
 the files will not expire, and you will always be able to edit them (provided your OS doesn't corrupt them)
 everything is entered as text, even equations  there is no need for mousedriven, memoryhogging equation editors
 large documents can be built piecemeal, and easily manipulated to change ordering; enumerations and crossreferencing change automatically
 LaTeX emphasizes content over form  you spend time typing the content in, and worry about the global appearance once the content is finished
 LaTeX has a worldwide community of contributors that can support you through forums and emails
Sample documents
LaTeX produces beautiful work no matter what the size or content of the project, but its power becomes particularly emphatic for
documents that contain mathematical/scientific content. The sample documents below have accompanying notes which high light some features of interest.
The main intention in showcasing these documents is for you to appreciate how each document looks, and
the implications of the comments.

Small (1page) documents
These documents are likely to be the type that you may want to produce in your MTH classes, to type up homework for example. By the end of the course, you should be able to recreate the documents appropriate to your current MTH class. Have a look at each one, and enjoy their beauty..pdf file Comments MTH 95 example  LaTeX does not use equation editors  everything is entered in plain text in
different environments. For example, to enter a fraction 1/3, we would use
\frac{1}{3}
The \frac stands for fraction  most LaTeX commands have this commonsensebased structure.  there are many advantages to not using equation editors  the two most prominent (in my opinion) are that you don't need to use a mouse, and that you do not need to have a special application open; over time, this can significantly improve your efficiency
 it may sound intimidating not to have an equation editor  I will direct you to many resources in what follows, and will always be happy to help you get through any difficulties; once you get started with equations, you will find that entering them is just a matter of logical thinking
 we will produce documents like these (appropriate to your level) and many more in this course
MTH 251 example MTH 252 example MTH 254 example  LaTeX does not use equation editors  everything is entered in plain text in
different environments. For example, to enter a fraction 1/3, we would use

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Larger (more than 1 page) documents
These documents are a little larger than the 1page documents above  don't worry about studying the content, but do note the comments..pdf file Comments Math 65 notes I use this document in my on line MTH 65 class. Note that:  All of the enumerations (sections, tables, figures, equations, etc), references,
hyperlinks, and much more, were generated dynamically by LaTeX. For example, on page
1 you see, '1.1 Review of Graphing Lines'; I did not tell LaTeX it was section 1.1, I simply
told it that there should be a section  LaTeX put the numbering in for me. This may not sound
like a big deal, but if you look through the document you will see that there are a lot of
enumerations; having to keep track of these by hand is very tedious, but LaTeX takes care of it
all without any trouble. More on this will follow as part of the course, but here's a piece of code
to tantalize you in the mean time:
\section{Review of Graphing lines}\label{sec:reviewgraphlines} Our starting point in Math 65 requires us to have a good foundation of graphing of lines.
 All of the references (such as, 'See Figure 10.7', on page 128) are taken care of by LaTeX;
again, imagine that you had to keep track of section, table, figure, equation, etc enumerations and
references by hand  in a document of this size (which isn't even that big), doing so would be
tedious.
We now plot these points on a graph, see Figure \ref{fig:plotpointsquad}.
 The table of contents at the beginning of each modules are generated dynamically by LaTeX  it keeps a running tally of sections, figures, tables, etc, and can produce these kinds of lists easily.
 On top of all of this, the graphs and pictures were generated in LaTeX  none of them were imported from an outside source.
Placement Test instructions This is an instruction manual I made for a Placement Test I wrote. Note that:  while this document doesn't have a large amount of Mathematical content, LaTeX still makes it look professional
 the code snippets (see page 4, for example) have line numbers that were generated automatically
 the bibliography (while short!) is enumerated dynamically as with the sections, tables, figures, equations, etc.
Sample presentation This is from a presentation I have used in MTH 254. To get the full affect, maximize the pdf document to full screen. Note that:  you can navigate through the document using the arrow keys
 there are pauses midway through equations(!)
 there are also pauses midway through the pictures
 everything in the presentation (text, equations, pictures) was generated in LaTeX, no need for any outside programs
My PhD thesis This is my PhD thesis. There is absolutely no way that I would have written this using anything other than LaTeX  here are some of the reasons for this:  there is a huge amount of mathematical content  using an equation editor for a document of this size would have become very impractical very quickly
 notice all of the enumerations for chapters, sections, subsections, figures, tables, equations; LaTeX takes care of all of these  at no point did I have to enumerate manually; in a document this big, that is an incredible time and frustration saver
 similarly, all of the crossreferences were taken care by LaTeX; imagine changing the order of equations and having to keep track of the references by hand  this would make anyone frustrated, but LaTeX handles it all for us
 the tableofcontents, listoffigures, and listoftables
were all produced automatically by LaTeX using commands such as
\tableofcontents
I didn't have to keep track of pages (or any other references) manually  the Bibliography and citations were processed and ordered by LaTeX
 All of the enumerations (sections, tables, figures, equations, etc), references,
hyperlinks, and much more, were generated dynamically by LaTeX. For example, on page
1 you see, '1.1 Review of Graphing Lines'; I did not tell LaTeX it was section 1.1, I simply
told it that there should be a section  LaTeX put the numbering in for me. This may not sound
like a big deal, but if you look through the document you will see that there are a lot of
enumerations; having to keep track of these by hand is very tedious, but LaTeX takes care of it
all without any trouble. More on this will follow as part of the course, but here's a piece of code
to tantalize you in the mean time:
About MTH 84
 Who is this class for? It will be well suited to students, faculty, and anyone that has an interest in producing high quality Mathematical documents.
 We will cover all topics in the CCOGs.
 The course is separated into learning modules, one for each week.
 Feel free to email me if you have any questions: christopher.hughes1@pcc.edu. If you'd like to have a look around my website, you'll notice that almost every document that I have posted has been produced using LaTeX.