# Mathematics, Lower Division

- A First Course in Linear Algebra (Beta) [Mature Prototype]
- The book that started it all, available now as the functional prototype, and the partially converted PreTeXt version (which is not yet reliable enough to study from). (2016-01-02)
- Active Calculus [PDF] [Hardcopy] [Source]
- From Matthew Boelkins, David Austin, and Steven Schlicker at Grand Valley State University: “There are very few worked examples in the text, with there instead being 3-4 activities per section that engage students in connecting ideas, solving problems, and developing understanding of key calculus concepts; each section begins with motivating questions, a brief introduction, and a preview activity, all of which are designed to be read and completed prior to class; following the WeBWorK exercises in each section, there are several challenging problems that require students to connect key ideas and write to communicate their understanding.” [Home] [Active Calculus Multivariable]. (2017-09-04)
- Modeling, Functions, and Graphs: Algebra for College Students by Katherine Yoshiwara
- Currently in beta release. This is a college algebra textbook with an emphasis on using mathematical models. GNU Free Documentation License. (2017-09-04)
- The Ordinary Differential Equations Project [Web Version] [Print]
- A “work in progress,” features extensive computational examples and high-quality graphics created by Sage. (2016-01-02)
- Discover Linear Algebra, by Jeremy Sylvestre [Web Version] [Activity Sets] [Source, Book] [Source, Activities]
- Discover Linear Algebra is an open-access linear algebra textbook that uses a discovery-based approach to introduce students to this beautiful subject. The philosophy of this treatment is to allow the undeniable core ideas and patterns of linear algebra to reveal themselves to the student. GNU Free Documentation License. (2018-09-01)
- Notes on DiffQs by Jiří Lebl [Web Version] [PDF] [Paperback] [Source]
- A one semester first course on differential equations, aimed at engineering students. Prerequisite for the course is the basic calculus sequence. PDF/Print are not PreTeXt output, and the HTML version is customized PreTeXt output, so see the source repository for details of modifications. CC-BY-NC-SA and CC-BY-SA. (2018-01-06)
- ORCCA: Open Resources for Community College Algebra by Ann Cary, Alex Jordan, Ross Kouzes, Scot Leavitt, Cara Lee, Carl Yao, Ralf Youtz [Web Version] [Print] [Source] [WeBWorK Problems]
- A “work in progress,” being piloted in courses for the 2017-18 academic year. Very extensive use of WeBWorK problems. (2018-02-03)
- Discrete Mathematics: an open introduction by Oscar Levin [Web Version][PDF]][Print, $12.50] [Source]
- A discrete structures text appropriate for a first or second year undergraduate course for math majors, especially those who will go on to teach. Also serves as a transitions course (introduction to proof). CC-BY-SA license. (2017-09-04)
- University of British Columbia CLP Calculus by Joel Feldman, Andrew Rechnitzer, Elyse Yeager [Mobile Version]
- Textbook and problem book for various calculus courses at UBC. In-progress, with more to come. CC-BY-NC-SA license. (2017-09-05)
- Calculus Lab Manual [Print] [Source]
- From Portland Community College, a supplement for a standard differential calculus course. Alex Jordan has customized PreTeXt in places and some of his improvements will migrate into the mainline distribution. More information is available, including color and electronic PDFs. (2015-08-28)
- A Modeling Approach to Calculus
- Lecture notes for a calculus course, in-progress with regular updates through Spring 2017. (2017-08-09)
- Linear Algebra Workbook [Source]
- Textbook supplement for an inquiry-based approach to teaching linear algebra. Includes an example of custom extensions, “tasks”. (2014-12-01)
- Introduction to Game Theory: a Discovery Approach [Web Version] [Source]
- By Jennifer Firkins Nordstrom, Linfield College. Inquiry-based approach to game theory for the liberal arts, social science majors, or high school enrichment. CC-BY-SA license. (2018-01-01)
- Financial Mathematics [Source]
- John Travis, at Mississippi College has started a textbook on financial mathematics for his course on the topic. Be sure to look at the Sage interacts such as in the chapter on Bonds. (2016-03-21)
- Probability [Source]
- John Travis, at Mississippi College has started a textbook on probability for his course on the topic. (2016-03-21)
- Cryptology Through History and Inquiry, by Charles F. Rocca, Jr. [Web Version] [Print]
- An inquiry-based approach to the history of cryptology. In-progress, currently a "rough draft." (2018-06-03)
- Math 1220, Linear Algebra I, University of Manitoba
- Michael Doob has made materials for his course available online using PreTeXt. (2016-02-20)
- OpenMathDocs [XML Source]
- Modelling-based approach to pre-calculus materials. Using a forked version of PreTeXt and contributing back changes. In-progress.

# Mathematics, Upper Division

- Abstract Algebra: Theory and Applications [Print] [Source]
- This is a comprehensive undergraduate mathematics textbook for a year-long course, which has been converted to PreTeXt from LaTeX. The PreTeXt version debuted for the 2015-16 academic year and displays many of the capabilities of PreTeXt, especially multiple output formats. GNU Free Documentation License. (2017-08-16)
- Number Theory: In Context and Interactive
- "Karl-Dieter Crisman's Number Theory: In Context and Interactive is a free textbook for an upper-level (US) number theory course, with a clear vision to expose students to the connections to all areas of mathematics. There are many exercises, both proof-based and computational, and nearly every concept can be visualized or experimented with using the open source mathematics software SageMath." This is an excellent example of using the Sage Cell Server to run interactive point-and-click demonstrations. CC-BY-ND license. (2017-09-04)
- Applied Discrete Structures [Source]
- Undergraduate mathematics textbook for computer science students, dating to 1984. Recently released as open source, and now being converted from previous formats, starting in late 2015. (2016-01-04)
- Geometry, with an introduction to Cosmic Topology by Mike Hitchman [Web Version] [Print]
- Originally published by Jones & Bartlett in 2009, now freely available in print and online from PreTeXt source. (2017-08-09)
- Applied Combinatorics by Mitch Keller and William Trotter [Web Version][PDF] [Print, $15] [Source]
- Comprehensive undergraduate textbook on basic and advanced combinatorial techniques, discrete structures, discrete optimization, and other topics. CC-BY-SA license. (2017-08-09)
- Combinatorics Through Guided Discovery by Kenneth P. Bogart, edited by Mitch Keller and Oscar Levin [Web Version][PDF] [Source]
- This is a slightly edited version of Bogart's orginal project from 2005, now available online via PreTeXt source. GNU Free Documentation License. (2017-09-04)
- First-Semester Abstract Algebra: A Structural Approach by Jessica Sklar [Source]
- One-semester undergraduate textbook emphasizing structure, homomorphisms, and isomorphisms. GNU Free Documentation License. (2017-09-04)
- A Second Course in Linear Algebra [Source]
- A mathematics textbook (in progress). And the beginnings of a friendly fork. GNU Free Documentation License. (2017-08-09)

# Mathematics, Graduate

- Explorations in Algebraic Graph Theory with Sage [Source]
- Research monograph with many embedded Sage cells.

# Computer Science

- Introduction to Computer Organization: ARM Assembly Language Using the Raspberry Pi by Bob Plantz
- Computer science textbook for super-affordable hardware, a work-in-progress. This is being derived from a similar text, Introduction to Computer Organization with x86-64 Assembly Language & GNU/Linux, which you can see has many of the features of PreTeXt. (2016-04-24)

# Physics

- Treatises III, IV, V by Jahrme Risner
- Undergraduate term project, Fall 2015. (Treatises I and II are available as PDFs here). (2016-04-24)

# Chemistry

- Third-Order Tensor Decompositions and Their Application in Quantum Chemistry
- Undergraduate term paper by Tyler Ueltschi, Spring 2014. (2014-05-01)

# Humanities

- Music Theory for the 21st-Century Classroom [Web Version]
- A “work in progress,” but well underway, features musical notation, score snippets, and embedded YouTube video examples. (2017-08-09)

- Sound Writing [Web Version] [Print]
- A writer's handbook for university students, initially written by three student writing advisors at the University of Puget Sound: Cody Chun, Kieran O'Neil, Kylie Young. (2017-09-04)

# Miscellaneous

- The Story of 8 by Mike Hitchman [Source]
- A very light-hearted experiment in PreTeXt authoring and publishing, which also showcases a variety of features. Source available. (2017-08-09)
- Extended Echelon Form and Four Subspaces [Published PDF]
- The first article written in PreTeXt was this short note for the American Mathematical Monthly in Summer 2013. LaTeX output (slightly edited) was sent to the publisher as the original submission. Since then, the XML source has been edited to keep up with revisions requested by the publisher and to keep up with changes to PreTeXt. You can compare the web version with the PDF of the published version. A few very minor differences will be ironed out as PreTeXt matures.