{"id":31,"date":"2018-10-28T03:23:27","date_gmt":"2018-10-28T03:23:27","guid":{"rendered":"https:\/\/pressbooks.library.ryerson.ca\/ryersonoerdiscipline\/chapter\/mathematics-statistics\/"},"modified":"2020-07-07T20:30:57","modified_gmt":"2020-07-07T20:30:57","slug":"mathematics-statistics","status":"publish","type":"chapter","link":"https:\/\/pressbooks.library.torontomu.ca\/ryersonoerdiscipline\/chapter\/mathematics-statistics\/","title":{"raw":"Mathematics","rendered":"Mathematics"},"content":{"raw":"

Linear Algebra<\/h2>\r\n

Linear Algebra with Applications: Lyryx<\/a><\/h3>\r\nBy: W. Keith Nicholson\r\n\r\n\"\"<\/a>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.\r\n\r\nIncludes<\/strong>: instructor resources: solution manual to exercises and lecture slides.\r\n\r\nAttribution:\u00a0 Linear Algebra with Applications: Lyryx<\/em><\/a> by W. Keith Nicholson is licensed under a Creative Commons Attribution Non-Commercial ShareAlike 4.0 International License.<\/a>\r\n

Linear Algebra<\/a><\/h3>\r\nBy:<\/strong> Jim Hefferson, St. Michael's College, Vermont\r\n\r\n\"\"<\/a>This textbook, now in its fourth edition, has been positively reviewed by four math professors from American universities and the Mathematical Association of America.\r\n\r\nIncludes<\/strong>: exercises, solutions, a lab manual, lecture slides, and includes applications of linear algebra.\r\n\r\nAttribution:\u00a0<\/strong> Linear Algebra<\/a> <\/em>by Jim Hefferson\u00a0is licensed under\u00a0the\u00a0<\/span>GNU Free Documentation License<\/a>\u00a0and a <\/span>\u00a0<\/span>Creative Commons Attribution-ShareAlike 2.5 License<\/a>.\r\n\r\n \r\n\r\nCalculus for Life Sciences<\/span>\r\n

Differential Calculus for the Life Sciences<\/a><\/h3>\r\nBy:\u00a0Leah Edelstein-Keshet, University of British Columbia\r\n\r\n\"\"<\/a>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.\r\n\r\nIncludes<\/strong>: exercises and solutions to selected problems.\r\n\r\nAttribution:\u00a0 Differential Calculus for the Life Sciences<\/em> by Leah Edelstein-Keshet is licensed under a Creative Commons Attribution Non-Commercial ShareAlike 4.0 International License.<\/a>\r\n

<\/h3>\r\n

Calculus for the Life Sciences: A Modelling Approach Volume 1<\/a><\/h3>\r\nBy:\u00a0<\/strong>James L. Cornette and\u00a0Ralph A. Ackerman, Iowa State University\r\n\r\n\"\"<\/a>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.\r\n\r\nIncludes<\/strong>: exercises, solutions to select problems, and MATLAB exercises.\r\n\r\nAttribution:\u00a0 \u00a0Calculus for the Life Sciences: A Modelling Approach Volume I<\/em> <\/a>by James L. Cornette and Ralph A. Ackerman is\u00a0licensed under a Creative Commons Attribution Non-Commercial No Derivatives 4.0 International license<\/a>.\r\n

Calculus<\/h2>\r\n

Calculus: OpenStax Volumes 1-3<\/h3>\r\nVolume 1<\/a> concepts: functions, limits, derivatives, and integration\r\n\r\nVolume 2<\/a> concepts: integration, differential equations, sequences and series, and parametric equations and polar coordinates\r\n\r\nVolume 3<\/a> concepts: parametric equations and polar coordinates, vectors, functions of several variables, multiple integration, and second-order differential equations\r\n\r\nIncludes<\/strong>: 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.\r\n

Active Calculus Single Variable<\/a><\/h3>\r\nBy<\/strong>: <\/strong>Matthew R. Boelkins, David Austin and Steven Schlicker\r\n\r\n\"ActiveActive Calculus<\/em> 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; there are live WeBWorK exe<\/span>rcises 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 \u2014 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<\/span><\/span>\r\n\r\nIncludes<\/strong>: interactive exercises and solutions, a lab manual, and other instructor resources.\r\n\r\nAttribution<\/strong>: <\/strong>Active Calculus Single Variable<\/a>\u00a0<\/em>by Matthew R. Boelkins, David Austin and Steven Schlicker is licensed under a Creative Commons Attribution Non-Commercial ShareAlike 4.0 International License.<\/a>\r\n

Active Calculus Multivariable<\/a><\/h3>\r\nBy<\/strong>: <\/strong>Matthew R. Boelkins, David Austin and Steven Schlicker\r\n\r\n\"ActiveIn Active Calculus - Multivariable<\/em>, we endeavour\u00a0to actively engage students in learning the subject through an activity-driven approach in which the vast majority of the examples are completed by students. Where many texts present a general theory of calculus followed by substantial collections of w<\/span>orked examples, we instead pose problems or situations, consider possibilities, and then ask students to investigate and explore. Following key activities or examples, the presentation normally includes some overall perspective and a brief synopsis of general trends or properties, followed by formal statements of rules or theorems. While we often offer plausibility arguments for such results, rarely do we include formal proofs. It is not the intent of this text for the instructor or author to demonstrate to students that the ideas of calculus are coherent and true, but rather for students to encounter these ideas in a supportive, leading manner that enables them to begin to understand for themselves why calculus is both coherent and true<\/span><\/span>\r\n\r\nIncludes<\/strong>: exercises and solutions.\r\n\r\nAttribution<\/strong>: <\/strong>Active Calculus Multivariable<\/a>\u00a0<\/em>by Matthew R. Boelkins, David Austin and Steven Schlicker is licensed under a Creative Commons Attribution Non-Commercial ShareAlike 4.0 International License.<\/a>\r\n

Community Calculus (Single, Multivariable)<\/a><\/h3>\r\nThis 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.\r\n\r\nIncludes<\/strong>: exercises, solutions, and WeBWorK problem sets.\r\n

APEX Calculus<\/a><\/h3>\r\nThis 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.\r\n\r\nIncludes<\/strong>: interactive graphics, exercises and solutions.\r\n

Contemporary Calculus<\/a><\/h3>\r\nThis 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.\r\n\r\nIncludes<\/strong>: exercises, solutions to odd-numbered problems, and other resources.\r\n

Calculus<\/a><\/h3>\r\nBy:\u00a0<\/strong>Gilbert Strang\r\n\r\n\"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.\r\n\r\nIncludes<\/strong>: an instructor's manual, a student study guide with exercises and select solutions, and links to a calculus video series by the author.\r\n\r\nAttribution:\u00a0<\/strong>Calculus<\/a>\u00a0<\/em>by Gilbert Strang is licensed under Attribution-NonCommercial-ShareAlike<\/a>\r\n

Statistics<\/h2>\r\n

Introductory Statistics: Saylor<\/a><\/h3>\r\nBy:\u00a0Douglas S. Shafer and Zhiyi Zhang\r\n\r\n\"\"<\/a>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.\r\n\r\nIncludes<\/strong>: exercises and answers.\r\n\r\nAttribution:\u00a0 Introductory Statistics<\/em><\/a> by Douglas S. Shafer and Zhiyi Zhang is licensed\u00a0under a Creative Commons Attribution Non-Commercial ShareAlike 4.0 International License.<\/a>\r\n\r\n \r\n\r\nIf you have questions about Open Educational Resources or other Open resources in your subject area, please contact your subject liaison librarian.<\/a>","rendered":"

Linear Algebra<\/h2>\n

Linear Algebra with Applications: Lyryx<\/a><\/h3>\n

By: W. Keith Nicholson<\/p>\n

\"\"<\/a>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.<\/p>\n

Includes<\/strong>: instructor resources: solution manual to exercises and lecture slides.<\/p>\n

Attribution:\u00a0 Linear Algebra with Applications: Lyryx<\/em><\/a> by W. Keith Nicholson is licensed under a Creative Commons Attribution Non-Commercial ShareAlike 4.0 International License.<\/a><\/p>\n

Linear Algebra<\/a><\/h3>\n

By:<\/strong> Jim Hefferson, St. Michael’s College, Vermont<\/p>\n

\"\"<\/a>This textbook, now in its fourth edition, has been positively reviewed by four math professors from American universities and the Mathematical Association of America.<\/p>\n

Includes<\/strong>: exercises, solutions, a lab manual, lecture slides, and includes applications of linear algebra.<\/p>\n

Attribution:\u00a0<\/strong> Linear Algebra<\/a> <\/em>by Jim Hefferson\u00a0is licensed under\u00a0the\u00a0<\/span>GNU Free Documentation License<\/a>\u00a0and a <\/span>\u00a0<\/span>Creative Commons Attribution-ShareAlike 2.5 License<\/a>.<\/p>\n

 <\/p>\n

Calculus for Life Sciences<\/span><\/p>\n

Differential Calculus for the Life Sciences<\/a><\/h3>\n

By:\u00a0Leah Edelstein-Keshet, University of British Columbia<\/p>\n

\"\"<\/a>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.<\/p>\n

Includes<\/strong>: exercises and solutions to selected problems.<\/p>\n

Attribution:\u00a0 Differential Calculus for the Life Sciences<\/em> by Leah Edelstein-Keshet is licensed under a Creative Commons Attribution Non-Commercial ShareAlike 4.0 International License.<\/a><\/p>\n

<\/h3>\n

Calculus for the Life Sciences: A Modelling Approach Volume 1<\/a><\/h3>\n

By:\u00a0<\/strong>James L. Cornette and\u00a0Ralph A. Ackerman, Iowa State University<\/p>\n

\"\"<\/a>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.<\/p>\n

Includes<\/strong>: exercises, solutions to select problems, and MATLAB exercises.<\/p>\n

Attribution:\u00a0 \u00a0Calculus for the Life Sciences: A Modelling Approach Volume I<\/em> <\/a>by James L. Cornette and Ralph A. Ackerman is\u00a0licensed under a Creative Commons Attribution Non-Commercial No Derivatives 4.0 International license<\/a>.<\/p>\n

Calculus<\/h2>\n

Calculus: OpenStax Volumes 1-3<\/h3>\n

Volume 1<\/a> concepts: functions, limits, derivatives, and integration<\/p>\n

Volume 2<\/a> concepts: integration, differential equations, sequences and series, and parametric equations and polar coordinates<\/p>\n

Volume 3<\/a> concepts: parametric equations and polar coordinates, vectors, functions of several variables, multiple integration, and second-order differential equations<\/p>\n

Includes<\/strong>: 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.<\/p>\n

Active Calculus Single Variable<\/a><\/h3>\n

By<\/strong>: <\/strong>Matthew R. Boelkins, David Austin and Steven Schlicker<\/p>\n

\"ActiveActive Calculus<\/em> 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; there are live WeBWorK exe<\/span>rcises 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 \u2014 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<\/span><\/span><\/p>\n

Includes<\/strong>: interactive exercises and solutions, a lab manual, and other instructor resources.<\/p>\n

Attribution<\/strong>: <\/strong>Active Calculus Single Variable<\/a>\u00a0<\/em>by Matthew R. Boelkins, David Austin and Steven Schlicker is licensed under a Creative Commons Attribution Non-Commercial ShareAlike 4.0 International License.<\/a><\/p>\n

Active Calculus Multivariable<\/a><\/h3>\n

By<\/strong>: <\/strong>Matthew R. Boelkins, David Austin and Steven Schlicker<\/p>\n

\"ActiveIn Active Calculus – Multivariable<\/em>, we endeavour\u00a0to actively engage students in learning the subject through an activity-driven approach in which the vast majority of the examples are completed by students. Where many texts present a general theory of calculus followed by substantial collections of w<\/span>orked examples, we instead pose problems or situations, consider possibilities, and then ask students to investigate and explore. Following key activities or examples, the presentation normally includes some overall perspective and a brief synopsis of general trends or properties, followed by formal statements of rules or theorems. While we often offer plausibility arguments for such results, rarely do we include formal proofs. It is not the intent of this text for the instructor or author to demonstrate to students that the ideas of calculus are coherent and true, but rather for students to encounter these ideas in a supportive, leading manner that enables them to begin to understand for themselves why calculus is both coherent and true<\/span><\/span><\/p>\n

Includes<\/strong>: exercises and solutions.<\/p>\n

Attribution<\/strong>: <\/strong>Active Calculus Multivariable<\/a>\u00a0<\/em>by Matthew R. Boelkins, David Austin and Steven Schlicker is licensed under a Creative Commons Attribution Non-Commercial ShareAlike 4.0 International License.<\/a><\/p>\n

Community Calculus (Single, Multivariable)<\/a><\/h3>\n

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.<\/p>\n

Includes<\/strong>: exercises, solutions, and WeBWorK problem sets.<\/p>\n

APEX Calculus<\/a><\/h3>\n

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.<\/p>\n

Includes<\/strong>: interactive graphics, exercises and solutions.<\/p>\n

Contemporary Calculus<\/a><\/h3>\n

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.<\/p>\n

Includes<\/strong>: exercises, solutions to odd-numbered problems, and other resources.<\/p>\n

Calculus<\/a><\/h3>\n

By:\u00a0<\/strong>Gilbert Strang<\/p>\n

\"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.<\/p>\n

Includes<\/strong>: an instructor’s manual, a student study guide with exercises and select solutions, and links to a calculus video series by the author.<\/p>\n

Attribution:\u00a0<\/strong>Calculus<\/a>\u00a0<\/em>by Gilbert Strang is licensed under Attribution-NonCommercial-ShareAlike<\/a><\/p>\n

Statistics<\/h2>\n

Introductory Statistics: Saylor<\/a><\/h3>\n

By:\u00a0Douglas S. Shafer and Zhiyi Zhang<\/p>\n

\"\"<\/a>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.<\/p>\n

Includes<\/strong>: exercises and answers.<\/p>\n

Attribution:\u00a0 Introductory Statistics<\/em><\/a> by Douglas S. Shafer and Zhiyi Zhang is licensed\u00a0under a Creative Commons Attribution Non-Commercial ShareAlike 4.0 International License.<\/a><\/p>\n

 <\/p>\n

If you have questions about Open Educational Resources or other Open resources in your subject area, please contact your subject liaison librarian.<\/a><\/p>\n","protected":false},"author":2,"menu_order":4,"template":"","meta":{"pb_show_title":"on","pb_short_title":"","pb_subtitle":"","pb_authors":[],"pb_section_license":""},"chapter-type":[],"contributor":[],"license":[],"class_list":["post-31","chapter","type-chapter","status-publish","hentry"],"part":20,"_links":{"self":[{"href":"https:\/\/pressbooks.library.torontomu.ca\/ryersonoerdiscipline\/wp-json\/pressbooks\/v2\/chapters\/31","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/pressbooks.library.torontomu.ca\/ryersonoerdiscipline\/wp-json\/pressbooks\/v2\/chapters"}],"about":[{"href":"https:\/\/pressbooks.library.torontomu.ca\/ryersonoerdiscipline\/wp-json\/wp\/v2\/types\/chapter"}],"author":[{"embeddable":true,"href":"https:\/\/pressbooks.library.torontomu.ca\/ryersonoerdiscipline\/wp-json\/wp\/v2\/users\/2"}],"version-history":[{"count":12,"href":"https:\/\/pressbooks.library.torontomu.ca\/ryersonoerdiscipline\/wp-json\/pressbooks\/v2\/chapters\/31\/revisions"}],"predecessor-version":[{"id":925,"href":"https:\/\/pressbooks.library.torontomu.ca\/ryersonoerdiscipline\/wp-json\/pressbooks\/v2\/chapters\/31\/revisions\/925"}],"part":[{"href":"https:\/\/pressbooks.library.torontomu.ca\/ryersonoerdiscipline\/wp-json\/pressbooks\/v2\/parts\/20"}],"metadata":[{"href":"https:\/\/pressbooks.library.torontomu.ca\/ryersonoerdiscipline\/wp-json\/pressbooks\/v2\/chapters\/31\/metadata\/"}],"wp:attachment":[{"href":"https:\/\/pressbooks.library.torontomu.ca\/ryersonoerdiscipline\/wp-json\/wp\/v2\/media?parent=31"}],"wp:term":[{"taxonomy":"chapter-type","embeddable":true,"href":"https:\/\/pressbooks.library.torontomu.ca\/ryersonoerdiscipline\/wp-json\/pressbooks\/v2\/chapter-type?post=31"},{"taxonomy":"contributor","embeddable":true,"href":"https:\/\/pressbooks.library.torontomu.ca\/ryersonoerdiscipline\/wp-json\/wp\/v2\/contributor?post=31"},{"taxonomy":"license","embeddable":true,"href":"https:\/\/pressbooks.library.torontomu.ca\/ryersonoerdiscipline\/wp-json\/wp\/v2\/license?post=31"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}