Modelling-based approach to pre-calculus materials: exponential, logarithmic, polynomial, rational, piecewise-defined, and trigonometric functions; transformations and composition of functions; parametric curves. Emphasizing the rule of four: graphically, numerically, verbally, and algebraically.
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precalculusdocument's Introduction
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This program is free software: you can redistribute it and/or modify
it under the terms of the GNU General Public License as published by
the Free Software Foundation, either version 3 of the License, or
(at your option) any later version.
This program is distributed in the hope that it will be useful,
but WITHOUT ANY WARRANTY; without even the implied warranty of
MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
GNU General Public License for more details.
See http://www.gnu.org/licenses/
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This document started at Portland Community College; some
activity happened between February 2011 and December 2012.
Ethos:
Modelling-based approach to pre-calculus materials:
exponential functions
logarithmic functions
polynomial functions
rational functions
piecewise-defined functions
trigonometric functions
transformations and composition of functions
parametric curves
Emphasizing the rule of four:
graphically
numerically
verbally
algebraically.
We release this document to the world in the hope that it
can be built upon.
mainfile.tex \includes the various chapter files. The graphs and
other images are all produced with tikz/pgfplots; you compile
the document with pdflatex. You might like to make use of the
arara tool to ease the compilation. All features and settings
are controlled in mainfile.tex
Progress (July 2013)
- we have made some progress on the first half of this document-
the pdf should be a fairly good indicator of how far we got.
Features:
- solutions to problems are written to separate files
which are \inputted at the end
- the problem numbers hyperlink to their respective solutions,
and the solution numbers hyperlink back to the problems
- the hyperlinks for even and odd problems can be toggled
separately
- problems can be tagged as 'core' which puts a star by them (and their
solution), and creates a list of core problems per section
Ideas for the future:
- chapter by chapter index
- global index
- chapter by chapter glossary
- global glossary
- xml markup as in http://linear.ups.edu/html/preface.html may
lead to easier output to different modes (pdf, html, SAGE links)
- (obviously) complete the other chapters
Disclaimer:
- if you find any mistakes, feel free to fix them and push your
version back up to git
How to contribute:
FIRST-TIME contributions:
- create an account on github
- fork this project
- clone it using
git clone https://github.com/cmhughes/precalculusDocument.git
- make sure you stay up to date by running
git add remote upstream https://github.com/cmhughes/precalculusDocument.git
SUBSEQUENT contributions
- grab the latest version using
git fetch upstream
git merge upstream/master
- make your changes
- push your changes up to your fork using
git push
- submit a pull request from within your fork on github