Study Guide

MATH 132, 1999 D1
Mathematics IA (Advanced)




Lecturers

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Professor Ross Street  Office: E7A-311, ph: 9850 8921, email: street@ics.mq.edu.au,
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Dr Ross Moore  Office: E7A-419, ph: 9850 8955, email: ross@ics.mq.edu.au

Lecture Times

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Tuesday 11am till 1pm in E6A-127 (BTech Computing Laboratory), with Ross Moore.
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Thursday 11am till 1pm in E7B-263, with Ross Street.

Topics

I Axiomatic projective geometry 6 lectures
II Quaternions 4 lectures
III Vector algebra and geometry 6 lectures
IV Sets, functions and relations 8 lectures
V LATEX and Mathematica 24 hours in a Computing Laboratory

Computer accounts on `argus', accessible from the X-terminals in the BTech Computing Laboratory E6A-127, have been arranged for all students.

Textbooks

There are Schaum's Outline Series volumes on each of topics I, III, IV -- however they go into a lot more detail than we will do.
Some notes will be issued on II. Browsing the library shelves is very much encouraged.

For the computing part of the course, there are many online manuals and documents.

The following book is a recommended as a reference that will be useful to have readily available, both now and in future years:
`LATEX, A Document Preparation System' by Leslie Lamport, Edition 2, Addison-Wesley-Longman, 1994.

For Mathematica the manual is available online. It can be purchased as a book:
`Mathematica, A System for doing Mathematics by Computer', by Stephen Wolfram; 2nd edition,
or the slightly simplified student version: `Mathematica; The Student Book'.
Both are published by Addison-Wesley-Longman.

Interesting & Useful Websites

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Manipula Math: Calculus animations
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LATEX symbols: mathematical symbols

Assessment

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There will be three assignment on Parts I-IV which will count 10%.
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There also will be a two-hour final examination on Parts I-IV which will count 40%.
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Part V is worth 50%. It will be assessed as a measure of the expertise gained in using the various software tools for performing mathematical calculations and for presentation of mathematical content within word-processing documents. The main tasks will be to use LATEX and/or Mathematica in the preparation of solutions for the three assignments for Parts I-IV. Other tasks will be set as exercises.

Assignments

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Assignment 1, 1999. (Solutions).
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Assignment 2, 1999. (Solutions).
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Assignment 3, 1999.

Assignments from previous years

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Assignment 1, 1996. Solutions.
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Assignment 2, 1996. Solutions.
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Assignment 3, 1996. Solutions.
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Assignment 4, 1996.

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Assignment 1, 1997.
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Assignment 2, 1997.
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Assignment 3, 1997.

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Examination, 1998.

LATEX

Here is a typical email discussion among mathematicians. Notice how the mathematics is marked-up using TEX notation; the intended message is easy to imagine.

Look at the links above for assignments from previous years. The questions and answers use LATEX notation.
Click on the button at right to see the source coding.

Mathematicians use the greek alphabet as a source for special symbols.
You will need to know all the letters of the greek alphabet.
Exercise: Create a table showing the name of each letter, and what it looks like, in both uppercase and lowercase. Also include a column giving the TEX command to produce the letter.


Ross Moore
1999-06-01