OER by Discipline: Mathematics

The first half of a precalculus series, covering college algebra.

An openly licensed applied calculus textbook, covering derivatives, integrals, and an intro to multivariable calculus.

The primary text for this course is Calculus Volume 1 from OpenStax. Lumen has curated, designed, and built additional resources to enhance both the teaching and learning experience. Each module begins with a prerequisite material review section, in which critical skills from Precalculus and College Algebra are revisited.

The primary text for this course is Calculus Volume 2 from OpenStax. Lumen has curated, designed, and built additional resources to enhance both the teaching and learning experience.

Active Calculus is different from most existing calculus texts in at least the following ways: the text is freely readable online in HTML format and is also available for in PDF; in the electronic format, graphics are in full color and there are live links to java applets; version 2.0 now contains WeBWorK exercises in each chapter, which are fully interactive in the HTML format and included in print in the PDF; the text is open source, and interested users can gain access to the original source files on GitHub; the style of the text requires students to be active learners — 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.

This is a text that covers the standard topics in a sophomore-level course in discrete mathematics: logic, sets, proof techniques, basic number theory, functions, relations, and elementary combinatorics, with an emphasis on motivation.

Version 3 of Mathematical Reasoning: Writing and Proof is only a minor revision of Version 2.1. The main change is that the Preview Activities in Version 2.1 have been renamed so they are now beginning activities.

Inquiry-based The text provides the material's outline, a sequence of statements along with a few definitions and remarks.

The following courseware includes resources copyrighted and openly licensed by third parties under a Creative Commons license. Click "Licenses and Attributions" at the bottom of each page for copyright information and license specific to the material on that page.

Standard coverage Linear systems and Gauss's method, vector spaces, linear maps and matrices, determinants, and eigenvectors and eigenvalues.

This book consists of ten weeks of material given as a course on ordinary differential equations (ODEs) for second year mathematics majors at the University of Bristol.

A first course on differential equations, aimed at engineering students.

This is a textbook for differential calculus with explanations, examples, worked solutions, problem sets and answers. It has been reviewed by calculus instructors and class-tested by them and the author.

Single and multivariable Calculus