6 Mathematics & Statistics

Linear Algebra

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 1B03, 1ZC3.

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, lecture slides, and includes applications of linear algebra.

May suit: MATH 1B03, 1ZC3.

Calculus for Life Sciences

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 1LS3, 1LT3.

Calculus for the Life Sciences: A Modelling Approach Volume 1

This textbook was written by two professors at Iowa State University with the goal 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 1LS3, 1LT3.

Calculus

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 integration, 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 1A03/1AA3, 1X03/1XX3, 1ZA3/1ZB3, 1M03, ISCI 1A24.

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 1A03/1AA3, 1X03/1XX3, 1ZA3/1ZB3, 1M03, ISCI 1A24.

Active Calculus Multivariable

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

Includes: exercises and solutions.

May suit: MATH 1AA3, 1XX3, 1ZB3, ISCI 1A24.

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: MATH 1A03/1AA3, 1X03/1XX3, 1ZA3/1ZB3, 1M03, ISCI 1A24.

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 1A03/1AA3, 1X03/1XX3, 1ZA3/1ZB3, 1M03, ISCI 1A24.

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 1A03/1AA3, 1X03/1XX3, 1ZA3/1ZB3, 1M03, ISCI 1A24.

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 1A03/1AA3, 1X03/1XX3, 1ZA3/1ZB3, 1M03, ISCI 1A24.

Active Calculus Multivariable

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

Includes: exercises and solutions.

May suit: MATH 2X03/2XX3, 2Z03/2ZZ3, 1XX3, 1ZB3, ISCI 1A24.

Statistics

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 STAT 2B03.

License

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OER by Discipline Guide: McMaster University by Lauri M. Aesoph is licensed under a Creative Commons Attribution 4.0 International License, except where otherwise noted.

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