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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.
cmhughes/precalculusDocument
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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/ %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% 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
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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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