Foundations of Applied Mathematics is a series of four textbooks developed for Brigham Young University’s Applied and Computational Mathematics degree program for beginning graduate and advanced undergraduate students. These are as follows:
- Volume 1: Mathematical Analysis.
- Volume 2: Algorithms, Approximation, and Optimization.
- Volume 3: Modeling with Uncertainty and Data.
- Volume 4: Modeling with Dynamics and Control.
The textbooks are being published by the Society for Industrial and Applied Mathematics. Volume 1 and Volume 2 are available now, and the remaining volumes are in development.
This repository contains a collection of Python labs that go in tandem with the textbooks. These expose students to applications and numerical computation and reinforce the theoretical ideas taught in the text. The text and labs combine to make students technically proficient and to answer the age-old question, "When am I going to use this?"
The Python Essentials labs introduce Python and its scientific computing tools. The Data Science Essentials labs introduce common tools for gathering, cleaning, organizing, and presenting data in Python. The Volume 1 and Volume 2 labs are also currently available; labs for the other volumes are forthcoming.
Visit foundations-of-applied-mathematics.github.io/ or the releases page to download the lab manual PDFs directly.
If you would rather build the PDFs locally, fork this repository and clone your fork. Each volume can then be built separately using the LaTeX files listed below.
- Python Essentials:
PythonEssentials.tex - Data Science Essentials:
DataScienceEssentials.tex - Volume 1, Mathematical Analysis:
Volume1.tex - Volume 2, Algorithm Design and Optimization:
Volume2.tex - Volume 3, Modeling with Uncertainty and Data:
Volume3.tex - Volume 4, Modeling with Dynamics and Control:
Volume4.tex
Compile the files using TeXShop or a similar program, or via the command line:
# Create docs/Volume1.pdf with latexmk (see Makefile).
$ make Volume1.pdf
# Equivalently, use latexmk directly.
$ latexmk -pdf -outdir=docs Volume1.texThese commands create a PDF in the docs/ folder called, for example, docs/Volume1.pdf.
To report bugs in the provided materials, typos or inaccuracies in the labs, or any other problems, submit an issue on Github. Please contact us at acme@mathematics.byu.edu if you have specific questions or feedback, or if you would like to be more involved with developing the labs.
Jeffrey Humpherys and Tyler J. Jarvis
Department of Mathematics
Brigham Young University
Email: acme@mathematics.byu.edu
- E. Evans, Brigham Young University
- R. Evans, University of Chicago
- J. Grout, Drake University
- J. Whitehead, Brigham Young University
R. Jones, S. McQuarrie, M. Cook, A. Zaitzeff, A. Henriksen, R. Murray
J. Adams, J. Bejarano, Z. Boyd, M. Brown, A. Carr, T. Christensen, M. Cook, B. Ehlert, M. Fabiano, A. Frandsen, K. Finlinson, J. Fisher, R. Fuhriman, S. Giddens, C. Gigena, C. Glover, M. Graham, F. Glines, M. Goodwin, R. Grout, J. Hendricks, A. Henriksen, I. Henriksen, M. Hepner, C. Hettinger, S. Horst, K. Jacobson, R. Jones, J. Leete, J. Lytle, R. McMurray, S. McQuarrie, D. Miller, J. Morrise, M. Morrise, A. Morrow, R. Murray, J. Nelson, E. Parkinson, M. Probst, M. Proudfoot, D. Reber, C. Robertson, M. Russell, R. Sandberg, C. Sawyer, J. Stewart, S. Suggs, A. Tate, T. Thompson, M. Victors, J. Webb, R. Webb, J. West, and A. Zaitzeff.
This work is licensed under the Creative Commons Attribution 3.0 United States License. To view a copy of this license please visit http://creativecommons.org/licenses/by/3.0/us/.
This project is funded in part by the National Science Foundation, grant no. TUES Phase II DUE-1323785.