Introductory Statistics (OpenStax), by Illowsky and Dean
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.
Introduction to Calculus: covers precalculus and basic differential calculus
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.
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).
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:
The HTML version.
A PDF version, based on PreTeXt source, both a colour e-book and a black and white print book.
A classic version, in PDF, based on the original LaTeX source.
Calculus I: limits, derivatives, curve sketching, related rates, optimization, differentials, Taylor polynomials, Riemann integration, Fundamental Theorem of Calculus.
Calculus II: techniques of integration, applications of integration, differential equations, parametric curves, and polar coordinates.
Calculus III: sequences and series, vectors, vector-valued functions, velocity and acceleration, introduction to functions of several variables, and partial derivatives.
Calculus IV: partial derivatives, multivariable chain rule, gradients and directional derivatives, local and global extrema, double and triple integrals, change of variables, vector calculus.
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.
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.
Calculus II: techniques of integration, applications of integration, differential equations, sequences and series, parametric curves, polar coordinates, introduction to functions of several variables.
Calculus III: vector geometry, vector-valued functions, differential and integral calculus of functions of several variables, vector geometry.
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.
Mathematical Reasoning: Writing and Proof, by Ted Sundstrom.
Book of Proof, by Richard Hammack.
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.
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.
Linear Algebra, with Applications, by Keith Nicholson.
Joy Morris has written her own textbook on combinatorics, which is available for use in this course.
Combinatorics, by Joy Morris
Page maintained by Sean Fitzpatrick. .