Open Education Resources for University of Lethbridge


Textbooks by course


Statistics 1770

Introduction to Probability and Statistics

Introductory Statistics (OpenStax), by Illowsky and Dean

Statistics 2780

Statistical Inference

Open Intro Statistics, by Diez et al.

The OpenIntro Statistics book doesn't have a straightforward PDF download link. The link above takes you to a "purchase" page, but it's pay-what-you-want. For free access, set the slider to $0.


Math 1010

Introduction to Calculus: covers precalculus and basic differential calculus

Colour version (for use as an e-book)

Black and white version (for printing)

The textbooks above are in PDF format, and haven't been recently updated. Additional resources, including some books in HTML format, can be found in the Precalculus Section.


Math 1410

Elementary Linear Algebra: vector geometry, systems of equations, matrices, matrix transformations, determinants, and eigenvalues and eigenvectors.

For Fall 2020, Math 1410 will be taught using the book A First Course in Linear Algebra, by Kenneth Kuttler, which is provided by Lyryx Learning.

Lyryx also provides the textbook Linear Algebra with Applications, by Keith Nicholson. This text has sufficient content for both Math 1410 and Math 3410.

A First Course in Linear Algebra, by Kenneth Kuttler

Linear Algebra with Applications, by Keith Nicholson

There is also a textbook available in PDF, created by Sean Fitzpatrick. This book is based on the text Matrix Algebra, by Greg Hartman, using content from APEX Calculus. Both books can be found on the APEX Calculus website.

This book is available in both colour (for use as an e-book) and black and white (for printing).

Colour version (for use as an e-book)

Black and white version (for printing)

Math 1510

Calculus for Management and Life Sciences

We are pleased to be able to host a copy of the textbook Business Calculus with Excel, by Mike May and Anneke Bart, of Saint Louis University. The book is available in both PDF and HTML formats.

HTML version

Colour PDF version

Print PDF version

Calculus Textbooks

A short introduction to the calculus offerings below. Everything is based on the APEX Calculus textbook by Greg Hartman. This is a free, high-quality calculus textbook, similar in format to a lot of the commercial books. It was originally written in the LaTeX typesetting language, as is commmon for math books.

A recent (and ongoing) project aims to convert the book to a new language called PreTeXt. The advantage of PreTeXt is that we can produce both HTML and PDF versions of the books. The HTML has better accessibility features, it works well even on phones, and it contains features like embedded videos. (There are embedded YouTube videos by Sean Fitzpatrick for all but two chapters. The missing Chapters are part of Math 2570, which Sean has so far never been assigned to teach.)

Below you will find several options for each calculus book:

  1. The HTML version.

  2. A PDF version, based on PreTeXt source, both a colour e-book and a black and white print book.

  3. A classic version, in PDF, based on the original LaTeX source.

Math 1560

Calculus I: limits, derivatives, curve sketching, related rates, optimization, differentials, Taylor polynomials, Riemann integration, Fundamental Theorem of Calculus.

PreTeXt-generated PDF e-book (aligns with HTML version)

PreTeXt-generated PDF, optimized for printing

Legacy PDF (now out of date), in colour

Legacy PDF (now out of date), in black and white (recommended for print)


Math 2560

Calculus II: techniques of integration, applications of integration, differential equations, parametric curves, and polar coordinates.

PreTeXt-generated PDF e-book (aligns with HTML version)

PreTeXt-generated PDF, optimized for printing

Legacy PDF (now out of date), in colour

Legacy PDF (now out of date), in black and white (recommended for print)


Math 2570

Calculus III: sequences and series, vectors, vector-valued functions, velocity and acceleration, introduction to functions of several variables, and partial derivatives.

PreTeXt-generated PDF e-book (aligns with HTMl version)

PreTeXt-generated PDF, optimized for printing

Legacy PDF (now out of date), in colour

Legacy PDF (now out of date), in black and white (recommended for print)


Math 2580

Calculus IV: partial derivatives, multivariable chain rule, gradients and directional derivatives, local and global extrema, double and triple integrals, change of variables, vector calculus.

PreTeXt-generated PDF e-book (aligns with HTML version)

PreTeXt-generated PDF, optimized for printing

Legacy PDF (now out of date), in colour

Legacy PDF (now out of date), in black and white (recommended for print)


Accelerated Calculus Textbooks

The material for the Accelerated Calculus stream is essentially the same as that for the regular Calculus stream. The primary difference is that the book is divided into three parts, instead of four, and there is some rearrangement of sections.

Also, the book for Accelerated Calculus does not include embedded videos. However, students who want to access this content can still find it on YouTube.

Note: Math 2575 is a newly created course, and it is not being offered in Fall 2020, due to insufficient enrolment, so we haven't yet created PDF textbooks for the course.

Math 1565

Calculus I: limits, derivatives, curve sketching, applications of derivatives, L'Hosptial's rule, Taylor polynomials, hyperbolic functions, Riemann integration, Fundamental Theorem of Calculus, numerical integration.

PreTeXt-generated PDF e-book (aligns with HTMl version)

PreTeXt-generated PDF, optimized for printing

Legacy PDF (now out of date), in colour

Legacy PDF (now out of date), in black and white (recommended for print)


Math 2565

Calculus II: techniques of integration, applications of integration, differential equations, sequences and series, parametric curves, polar coordinates, introduction to functions of several variables.

PreTeXt-generated PDF e-book (aligns with HTMl version)

PreTeXt-generated PDF, optimized for printing

Legacy PDF (now out of date), in colour

Legacy PDF (now out of date), in black and white (recommended for print)


Math 2575

Calculus III: vector geometry, vector-valued functions, differential and integral calculus of functions of several variables, vector geometry.

PreTeXt-generated PDF e-book (aligns with HTML version)

PreTeXt-generated PDF, optimized for printing


Other textbooks


Math 2000


Mathematical Concepts (Introduction to Proofs): logic, sets, relations, functions, proof techniques, cardinality, congruence and modular arithmetic.

Professors Dave and Joy Morris have written a textbook called Proofs and Concepts for Math 2000. This book is provided below, along with links to two external open textbooks that have been used for the course.

Proofs and Concepts, by Dave and Joy Morris.

Book of Proof, by Richard Hammack.

Math 3200

Geometry: Introduction to classical geometry from the axiomatic point of view. Lines and affine planes. Separation, order, similarity, congruence. Isometries and their classification. Groups of symmetries. Projective, hyperbolic and inversive geometries.

Geometry - Notes and Applications, by Dennis Connolly.

Math 3410

Linear Algebra: vector spaces, basis and dimention, linear transformations, orthogonality, eigenvalues and diagonalization, canonical forms.

Sean Fitzpatrick has written a set of lecture notes for Math 3410 in PreTeXt. These notes feature embedded code cells that allow students to perform computations using Python code. (Code provided: no programming experience necessary!) These notes are based in part on the textbook by Keith Nicholson.

Lecture Notes for Math 3410, by Sean Fitzpatrick.

HTML version, with interactive code cells:

PDF e-book (aligns with HTML version)

PreTeXt-generated PDF, optimized for printing

Linear Algebra, with Applications, by Keith Nicholson.

Math 3860


Joy Morris has written her own textbook on combinatorics, which is available for use in this course.

HTML version

PDF version

Math 4405/5405/7405


Lethbridge Advanced Abstract Algebra, by Dave Witte Morris


Page maintained by Sean Fitzpatrick. .