Ma 375

1
Ma 375

• A course in Communicating Mathematics with Maple
  and LaTeX
• given by
• Paul Eakin and Carl Eberhart
• Department of Mathematics
• University of Kentucky

2
Class 1 The Tools

• Maple
• LaTeX
• Chisel CD

3
What are Maple and LaTeX?

• Maple is a language for posing, investigating,
  and solving mathematical problems.
• LaTeX is a language for preparing Mathematical
  documents for publication.
• A knowledge of these languages equips you to
  communicate mathematics both with yourself and
  with the outside world.

4
More on Maple

• Worksheet Environment -- like a sheet of paper
• Use it like a graphing calculator
• Use it to make 3d movies
• You can do algebra in a Maple worksheet
• Maple has a large mathematical vocabulary
• You can extend the vocabulary
• You have to buy it (think its a book)

5
More on LaTeX

• You dont have to buy it
• Based on TeX, a mathematical typesetting
  language invented by Donald Knuth
• LaTeX is used extensively by the scientific
  community at the university level.
• Use it to write math texts.
• Maple worksheets can be exported to LaTeX.

6
The Chisel CD

• Has a complete LaTeX system on it called MiKTeX.
  This can be run right off the CD.
• Contains a large database of existing LaTeX
  source documents, from quizzes to books.
• Has a MapleV4 demo worksheet reader with
  subsistence computational ability
• Contains a large database of Maple worksheets,
  arranged into books.

7
Installing Chisel

• Get the CD from http//www.ms.uky.edu/chisel
• Stick it in your Cdrom drive
• Initially you may want to choose a minimal
  installation.
• After installation, you have a Chisel icon on
  your desktop. Click It.

8
Searching the Chisel

• Pick a word, like function, and see where it
  occurs on the Chisel disk
• The disk contains mws , tex, dvi, and ps files..
  These are read by MapleV4, Wordpad, yap, and
  gsview32 respectively.

9
Nextime

• We will go through this again in more detail

10
Class 2 -- Hello, World! in LaTeX
11
The Editing Cycle

• edit file.tex
• latex file.tex
• yap file.dvi
• dvips file
• gsview32 file.ps

12
edit file.tex
latex file.tex
yap file.dvi
gsview32 file.ps
dvips file
13
A Sample LaTex file

• \documentclassslides\usepackagecolor,graph
  icx\begindocumentHello World!\colorredHel
  lo world!\ (xy)3 3x1 \\includegraphicsh
  eight2in,width3in,angle90cross201.eps\end
  document

14
Never start from scratch

• To make an exam, start with an exam.
• There are plenty on the Chisel disk.
• Use the edit cycle to learn LaTex.
• Try your ideas out to see if they work.
• Of course, reference books are nice.
• Browse LaTeX books for ideas.

15
Homework Assignment

• Starting with a practice skills test in Calculus
  I on the Chisel Disk, modify it to a test key
  with color and graphics. You can change any
  problems you dont like.

16
Class 3 -- Modify an old tex document
17
Some things to watch for.

• Version of LaTeX?
• Macros. Any missing?
• Learn LaTeX from context.
• Read the error messages from LaTeX

18
Versions of LaTeX

• LaTeX2.09
• LaTeX2e
• Using LaTeX2e help on the Chisel
  Disk.(//chisel/local/texmf/doc/latex/help/)

19
Get a skills test off the Chisel Disk

• Choose your document
• Open it to your hard-drive(click on ZIP, and
  choose open)
• See if the tex file will latex

20
Start the Edit Cycle

• Lets make a key to the exam

21
Homework Assignment

• (Due Friday) email to carl_at_ms.uky.eduConstruct
  a 2 question, 1 page quizon solving quadratic
  equations.Provide a key.

22
Class 4 -- Getting Graphics
23
5 ways to make pictures in LaTeX

• Use LaTeX picture commands
• Use MS Paint to draw bw .bmp files
• Use Maple to generate color .eps files
• Use Paint Shop Pro to draw color .eps files
• Use commands from the PSTricks package

24
LaTeX picture commands

• Here is a sample picture drawn with picture
  commands in LaTeX.
• setlength\unitlength.5in
• \beginpicture(7,4)
• \put(0,0)\vector(1,5)3
• \put(2,2)\sqrt2
• \endpicture

25
MS Paint

• Launch the Paint from Accessories
• Set the size to something like 4 by 2.4 inches
• Make a drawing
• Save as monochrome bmp (say pic.bmp) in the
  right directory
• include graphicx in your list of packages
• put
• \includegraphicsheight4in,width2.4inpic.bmp
• in your tex file

26
Maple To graph sin(x) and x3

• Launch Maple (release 4 or 5)
• Then in a worksheet issue these commands
• plotsetup(ps,plotoutputpic.eps,plotoptionscol
  or)
• plot(sin(x),x3,x-Pi..Pi)
• get the file pic.eps into the right directory
• proceed as above with MS Paint

27
The PSTricks Package

• Think of this as a huge extension of the picture
  environment. Among other things you can write
  along a curve with Pstricks.
• The style files and documentation are freely
  available from the TeX archives

28
Paint Shop Pro

• Think of this as a better paint program
• Its main advantage over paint is that you can
  save in the color eps format
• It is inexpensive but high quality shareware

29
Class 5 -- Review and extend knowledge of LaTeX
30
What have we done?

• Intro to Chisel Disk and its data
• Intro to LaTeX(2e), with color and graphics
• Tiny intro to Maple (for its graphics)
• Made first homework assignment

31
A quiz template

• \documentclass12ptarticle
• \textheight 9in
• \textwidth 6.5in
• \begindocument
• \begincenter
• \bf\large Quiz 1
• \endcenter
• \beginenumerate
• \item first question
• \vfill
• \item second question
• \vfill
• \endenumerate
• \enddocument

Use this style for quizzes
put the quiz questions here
32
Many ways to carry out editing cycle

• Have TexShell, editor, and yap or gsview32
  windows all open to cycle between.

Texshell
yap/gsview32
editor
33
A short article template

• \documentclassarticle
• \begindocument
• \sectionIntroduction Introductory
  material
• \sectionThe main body
• \subsectionIdea one.
• Here is the first idea.
• \subsectionIdea two Here is the second idea.
• \enddocument

Let LaTeX do the placement. You can work on what
to say.
34
Notes on graphics.

• Use \beginpicture commands when possible
• Leave room for Paint drawings and draw later.
• Use the plotting packages in Maple

35
Class 6 -- Making a problem set
36
Problem Set Making

• Making new problem sets is one of a teachers
  jobs. It is nice to have the tools to do it in
  a professional manner. Usually, there will be
  typeset math and graphics of some sort.

37
A Problem Set template

• \documentclass12ptarticle
• \textheight 9in
• \textwidth 6.5in
• \newtheoremproblemProblem
• \begindocument
• \begincenter
• \bf\large Problem Set 1
• \endcenter
• \beginproblem
• first question
• \endproblem
• \vfill
• \beginproblem second question
• \vfill
• \enddocument

38
Some new LaTeX Commands

• \newtheoremproblemProblem
• Putting this in the preamble allows you to
• \beginproblem
• \endproblem
• in the body

39
Another LaTeX command

• To make a nice table, put this in your tex
• document
• \begintabular.5inl l l \hline
• ksks stuff more stuff \\ \hline
• akks yet more Stuff More stuff \\ \hline
• \endtabular

40
More on Graphics.

• Use \multiput to draw repetitively in the
  picture mode
• the package graphpap is handy to draw quadrille
  paper.

41
Homework assignment

• due Monday, Feb 9
• Work up a new problem set, with three problems on
  two pages.
• Use graphics and color. Supply your solutions
  commented out.
• The topic can be anything related to or requiring
  mathematics in the solution.

42
Class 7 -- Making a problem set
43
A Problem Set template

• \documentclass12ptarticle
• \textheight 9in
• \textwidth 6.5in
• \newtheoremproblemProblem
• \begindocument
• \begincenter
• \bf\large Problem Set 1
• \endcenter
• \beginproblem
• first question
• \endproblem
• \vfill
• \beginproblem second question
• \vfill
• \enddocument

44
Some new LaTeX Commands

• \newtheoremproblemProblem
• Putting this in the preamble allows you to
• \beginproblem
• \endproblem
• in the body

45
Another LaTeX command

• To make a nice table, put this in your tex
• document
• \begintabular.5inl l l \hline
• ksks stuff more stuff \\ \hline
• akks yet more Stuff More stuff \\ \hline
• \endtabular

46
More on Graphics.

• Use \multiput to draw repetitively in the
  picture mode
• the package graphpap is handy to draw quadrille
  paper.

47
Homework assignment

• due Monday, Feb 9
• Work up a new problem set, with three problems on
  two pages.
• Use graphics and color. Supply your solutions
  commented out.
• The topic can be anything related to or requiring
  mathematics in the solution.