Mathematics & Statistics

   Open Textbooks and Concordia Courses

   Description and Access

Differential Calculus for the Life Sciences

This textbook was written by a math professor at the University of British Columbia and is currently used as a textbook for introductory calculus courses for life sciences undergraduates.

Includes: exercises and solutions to selected problems

May suit: MATH 203 Differential & Integral Calculus I

Calculus for the Life Sciences: A Modelling Approach Volume 1

This textbook was written by two professors at Iowa State University with the goal of introducing students to scientific modeling. This course aims to teach students the necessary skills and concepts from a traditional physical sciences course while explaining the applications of calculus to the life sciences.

Includes: exercises, solutions to select problems, and MATLAB exercises

May suit: MATH 203 Differential & Integral Calculus I

Calculus

Originally published through traditional means, this textbook is now available as an open educational resource. This text includes single and multivariable calculus and was written by a professor of mathematics at the Massachusetts Institute of Technology.

Includes: an instructor’s manual, a student study guide with exercises and select solutions, and links to a calculus video series by the author

May suit: MATH 203 Differential & Integral Calculus I, and MATH 209 Fundamental Mathematics II

Contemporary Calculus

This textbook was created as part of the Washington State Colleges’ Open Course Library Project, which received funding through the Gates Foundation. This text has been used by thousands of students within Washington State and was developed by a professor at Bellevue College.

Includes: exercises, solutions to odd-numbered problems, and other resources

May suit: MATH 203 Differential & Integral Calculus I, MATH 209 Fundamental Mathematics II, MAST 218 Multivariable Calculus I,  and MATH 264 Advanced Calculus I

APEX Calculus

This text, or portions of it, has been adopted at a considerable number of American institutions to teach calculus, according to their website. These institutions include the Virginia Military Institute, where the author is an associate professor of mathematics.

Includes: interactive graphics, exercises, and solutions.

May suit: MATH 203 Differential & Integral Calculus I, MATH 209 Fundamental Mathematics II, MAST 218 Multivariable Calculus I , and MATH 264 Advanced Calculus I

Calculus: OpenStax Volumes 1-3

Volume 1 concepts: functions, limits, derivatives, and integration

Volume 2 concepts: integration, differential equations, sequences and series, and parametric equations and polar coordinates

Volume 3 concepts: parametric equations and polar coordinates, vectors, functions of several variables, multiple integrations , and second-order differential equations

Includes: Exercises and answers. Volume 1 has been faculty-reviewed, adopted, is accessible, and has ancillary resources. Volume 2 has been adopted, has ancillary resources, and is accessible. Volume 3 is accessible and has ancillary resources. Adopt and adapt these volumes at the links above on Volumes 1, 2, and 3, respectively

May suit: MATH 203 Differential & Integral Calculus I MATH 209 Fundamental Mathematics II MAST 218 Multivariable Calculus I MATH 264 Advanced Calculus I , and MATH 265 Advanced Calculus II

Linear Algebra with Applications: Lyryx

The first version of this textbook was published in 1986 as a traditional textbook. The current version from 2018 was published as an open educational resource for a traditional or advanced introduction to the topics within linear algebra.

Includes: instructor resources: solution manual to exercises and lecture slides

May suit: MATH 204 Vectors and Matrices, MAST 214 Calculus and Linear Algebra, MATH 251 Linear Algebra I, MATH 252 Linear Algebra II

Linear Algebra

This textbook has been positively reviewed by four math professors from American universities and the Mathematical Association of America.

Includes: exercises, solutions, a lab manual, and lecture slides, and includes applications of linear algebra

May suit: MATH 204 Vectors and Matrices, MAST 214 Calculus and Linear Algebra,  MATH 251 Linear Algebra I, and MATH 252 Linear Algebra II

Introductory Statistics: Saylor

This peer-reviewed resource introduces statistical concepts, including: descriptive statistics, basic concepts of probability, discrete random variables, continuous random variables, sampling distributions, estimation, testing hypotheses, two-sample problems, correlation and regression, and chi-square and f-tests.

Includes: exercises, and answers

May suit: MATH 208 Fundamental Mathematics I, MAST 221 Applied Probability,  and STAT 250 Statistics 

Community Calculus (Single, Multivariable)

This online compilation of four calculus textbooks is frequently updated and has been used in courses. It has been positively reviewed by the Mathematical Association of America. It also covers early and late transcendentals.

Includes: exercises, solutions, and WeBWorK problem sets

May suit: MAST 218 Multivariable Calculus I, MAST 219 Multivariable Calculus II, MATH 264 Advanced Calculus I, and MATH 265 Advanced Calculus II

Active Calculus Multivariable

This textbook is meant to complement the Single Variable edition of Active Calculus.

Includes: exercises, and solutions

May suit: MAST 218 Multivariable Calculus I, and MAST 219 Multivariable Calculus II

Active Calculus Single Variable

This textbook was written by math professors from an American university.

Includes: interactive exercises and solutions, a lab manual, and other instructor resources

May suit: MATH 264 Advanced Calculus I