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Mathematics - OER from Illinois

Algebra | Calculus | Functions | Geometry | Numbers and Operations | Measurement and Data | Ratios and Proportions | Statistics and Probability | Trigonometry

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Algorithms by Jeff Erickson
Conditional Remix & Share Permitted
CC BY-NC-SA
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This web page contains a free electronic version of my self-published textbook Algorithms, along with other lecture notes I have written for various theoretical computer science classes at the University of Illinois, Urbana-Champaign

Subject:
Computer Science
Material Type:
Reading
Provider:
University of Illinois at Urbana-Champaign
Author:
Jeff Erickson
Date Added:
02/01/2021
Basic Analysis: Introduction to Real Analysis
Conditional Remix & Share Permitted
CC BY-NC-SA
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5.0 stars

This free online textbook is a one semester course in basic analysis. These were my lecture notes for teaching Math 444 at the University of Illinois at Urbana-Champaign (UIUC) in fall 2009. The course is a first course in mathematical analysis aimed at students who do not necessarily wish to continue a graduate study in mathematics. A Sample Darboux sums prerequisite for the course is a basic proof course. The course does not cover topics such as metric spaces, which a more advanced course would. It should be possible to use these notes for a beginning of a more advanced course, but further material should be added.

Subject:
Mathematics
Material Type:
Textbook
Provider:
University of Illinois at Urbana-Champaign
Author:
Jiří Lebl
Date Added:
02/16/2011
Calculus II (full course).
Conditional Remix & Share Permitted
CC BY-NC-SA
Rating
5.0 stars

Complete course available at MyOpenMath. Course ID:142672
.   This work was supported in part by a Wright College grant to create ancillary materials to augment OER materials.

Subject:
Mathematics
Calculus
Material Type:
Full Course
Author:
Hellen Colman
Date Added:
04/21/2022
A Course in Quantitative Literacy
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CC BY-NC
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Why study Quantitative Literacy?

Most students sign up for this course to fulfill a general education mathematics requirement. And this text is certainly aimed at that general audience. But by the time the course is completed, the authors hope that you will have developed some appreciation for the usefulness and elegance of the subject. Without doubt, some level of competency and comfort in working with numerical data is needed to navigate the modern world; and we have tried to cover topics that can be used in day to day life.

In this book, we will focus on problem solving and critical thinking skills. Our goal is not to prepare you just for the next math class, but to equip you with the necessary tools so that you can apply basic mathematical reasoning to a wide variety of commonly encountered problems. Along the way, we will learn basic logic, how to work with percentages and units, the basics of consumer finance, and how to use and interpret basic statistical data.

Subject:
Mathematics
Material Type:
Textbook
Provider:
College of Lake County
Author:
Azar Khosravani
Mark Beintema
Date Added:
02/27/2020
Introductory Statistics, 3rd Edition
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CC BY-NC-SA
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Adapted from the OpenStax Textbook for the College of Lake County's Introductory Statistics course (Susan Dean and Barbara Illowsky (Published 2013 by OpenStax College)).

Subject:
Mathematics
Material Type:
Textbook
Provider:
College of Lake County
Author:
Mark Beintama
Natalia Casper
Date Added:
01/08/2021
Materials for Calculus with Analytical Geometry
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CC BY-NC-SA
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A Google Drive folder created by Kevin Fink of materials for Math 2231 - Calculus with Analytical Geometry at the College of DuPage. This is intended to be a foundation for anyone wanting to teach Math 2231 where students would need to spend little to no money for materials during the semester. Includes links to a textbook on openstax, a myopenmath shell template, links to lecture videos, supplemental homework assignments and answers, and the materials for an Area project about approximating area under curves.This resource will be updated as needed. For the google drive folder and the most recent version, visit: https://drive.google.com/drive/folders/1KhhTIXOT2a0oEX1hqMIhDsNi4DaO6NSk?usp=sharing

Subject:
Mathematics
Calculus
Geometry
Material Type:
Activity/Lab
Full Course
Homework/Assignment
Lesson Plan
Author:
College of DuPage
Date Added:
07/09/2022
Math in General Education
Conditional Remix & Share Permitted
CC BY-SA
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This book is an exploration of the world of mathematics that many high school and college students have never encountered. Little algebra is necessary for the topics in this textbook: set theory, financial math, statistics, conversion, and geometry. These topics were chosen by their clear applications to everyday life and their thought-provoking exercises. This book will provide glimpses into ways of thinking mathematically while highlighting algorithmic, graphical, algebraic, statistical, and analytic approaches to solving problems.

Includes work from:
"Math in Society" by David Lippman is licensed under CC BY-SA 4.0
"Understanding Taxes: Teacher" by Internal Revenue Service is in the Public Domain
"Fundamentals of Mathematics" by Denny Burzynski and Wade Ellis, Jr. is licensed under CC BY 4.0

Subject:
Mathematics
Material Type:
Textbook
Author:
Sarah Harley
Date Added:
06/29/2022