After being traditionally published for many years, this formidable text by W. Keith Nicholson is now being released as an open educational resource and part of Lyryx with Open Texts! Supporting today’s students and instructors requires much more than a textbook, which is why Dr. Nicholson opted to work with Lyryx Learning.

Overall, the aim of the text is to achieve a balance among computational skills, theory, and applications of linear algebra. It is a relatively advanced introduction to the ideas and techniques of linear algebra targeted for science and engineering students who need to understand not only how to use these methods but also gain insight into why they work.

The contents have enough flexibility to present a traditional introduction to the subject, or to allow for a more applied course. Chapters 1–4 contain a one-semester course for beginners whereas Chapters 5–9 contain a second semester course. The text is primarily about real linear algebra with complex numbers being mentioned when appropriate (reviewed in Appendix A).

The primary text for this course is material published by Monterey Institute for Technology and Education (MITE) and remixed by David Lippman of Pierce College. The full textbook can be downloaded here: https://www.opentextbookstore.com/arithmetic/book.pdf Original content for this course, including worksheets, were also contributed by David Lippman.

This course is an arithmetic course intended for college students, covering whole numbers, fractions, decimals, percents, ratios and proportions, geometry, measurement, statistics, and integers. Integers are only introduced at the end of the course and only the last section introduces algebra concepts.

Each Unit contains:

Worksheets
Activities
Video Lessons
Lumen OHM Homework
Lumen OHM Practice Exams

To use the OHM aspects of the course, students have to purchase OHM access.

Math 111 explores relations and linear, quadratic, exponential, polynomial, rational, and logarithmic functions. It includes the theory of equations, matrices, and determinants.

Course Outcomes:
1. Interpret graphical information, such as identifying types of functions, translations, inverses, intercepts, and asymptotes.
2. Solve a variety of symbolic equations and inequalities, such as rational, absolute value, exponential, radical, logarithmic, and linear systems.
3. Construct appropriate models for real world problems, such as fitting an algebraic function model to a set of data, and system of linear equations.

Math of Biological/Management/Social Sciences presents intuitive development of the calculus of polynomial, exponential and logarithmic functions, and extrema theory and applications.

Course Outcomes:
1. Apply calculus to solve problems with confidence, persistence, and openness to alternate approaches.
2. Interpret and communicate the concepts of rates of change and derivatives.
3. Connect the graphical behavior, numerical patterns and symbolic representations of function and derivatives.
4. Collaborate to solve calculus problems related to their field of study.
5. Recognize when and how to proficiently apply calculus tools to solve problems in business management, social sciences and and biological sciences.
6. Use a graphing calculator and/or other technology to solve applied problems.

A survey course of discrete mathematics for non-physical science majors. Topics include systems of inequalities, linear programming, probability and probability distributions, and an introduction to descriptive statistics. The course emphasizes problem solving through the use of computer spreadsheets.

Dissolved ions are present in all freshwater systems, but humans can change the chemical composition of freshwater in several ways. In this activity, students will examine the concentration of major ions in freshwater systems over time and reason about potential drivers of these changes.

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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

This Pre-Calculus course is designed to prepare students for a calculus course. This course is taught so that students will acquire a solid foundation in algebra and trigonometry. The course concentrates on the various functions that are important to the study of the calculus.

This is a rigorous, open, and equitable Calculus I class. It follows the OpenStax Calculus I book and uses the MyOpenMath course created by Larry Green and the ZTC grant as homework and extra resources. As well as lecture notes and worksheets created in Microsoft Word.

The structure of the course is that it follows a flipped class model, where students are required to watch lecture video created off of the lecture notes. Then students work on sectional exercises embedded in Canvas from MyOpenMath and work by themselves on the hard worksheet before the last day of the class during the week. On that day of class students will have the opportunity to work in groups on the worksheet problems.

They will be motivated to work on the problems in their groups because they will then teach the professor their random problem received as well as their group mates have points associated with their group mates work. The way they do this is through a program called GoReact that is embedded in Canvas. The main thing about this program is that students can easily share a recorded video of them teaching the math to the professor and the professor in turn can give video feedback telling the student how much they rock or letting them know what went wrong. These Teach Me Video are the foundation of the course and are the only thing the professor grades for the week unless there is a test. They are fun for both the instructor and students and increase the teacher student relationship as well as the student to student relationship. It is also easy to bump the Teach Me Videos up to make students who didn't fully understand the problem by making them redo the video to get some points back.

Mathematics explained: Here you find videos on various math topics:

Pre-university Calculus (functions, equations, differentiation and integration)
Vector calculus (preparation for mechanics and dynamics courses)
Differential equations, Calculus
Functions of several variables, Calculus
Linear Algebra
Probability and Statistics

This textbook attempts to provide you with an overview of the commonly used basic mathematical models, as well as a wide range of applications. It offers a perspective that brings you back to the modeling process and the assumptions that go into it.

Mathematics for Biomedical Physics is an open textbook, published by the Wayne State University Library System, geared to introduce several mathematical topics at the rudimentary level so that students can appreciate the applications of mathematics to the interdisciplinary field of biomedical physics. Most of the topics are presented in their simplest but rigorous form so that students can easily understand the advanced form of these topics when the need arises. Several end-of-chapter problems and chapter examples relate the applications of mathematics to biomedical physics. After mastering the topics of this book, students would be ready to embark on quantitative thinking in various topics of biology and medicine.

This book will help you to understand elementary mathematics more deeply, gain facility with creating and using mathematical notation, develop a habit of looking for reasons and creating mathematical explanations, and become more comfortable exploring unfamiliar mathematical situations.

The primary goal of this book is to help you learn to think like a mathematician in some very specific ways. You will:

• Make sense of problems and persevere in solving them. You will develop and demonstrate this skill by working on difficult problems, making incremental progress, and revising solutions to problems as you learn more.

• Reason abstractly and quantitatively. You will demonstrate this skill by learning to represent situations using mathematical notation (abstraction) as well as creating and testing examples (making situations more concrete).

• Construct viable arguments and critique the reasoning of others. You will be expected to create both written and verbal explanations for your solutions to problems. The most important questions in this class are “Why?” and “How do you know you're right?” Practice asking these questions of yourself, of your professor, and of your fellow students.

Throughout the book, you will learn how to learn mathematics on you own by reading, working on problems, and making sense of new ideas on your own and in collaboration with other students in the class.

This course was originally developed for the Open Course Library project.  The text used is Math in Society, edited by David Lippman, Pierce College Ft Steilacoom.  Development of this book was supported, in part, by the Transition Math Project and the Open Course Library Project. Topics covered in the course include problem solving, voting theory, graph theory, growth models, finance, data collection and description, and probability.

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

Many students learn math from examples/practice problems. While going through the solution to a problem, students are often faced with several issues. They may not see the connection between the concept taught in class and the solution. Others may not understand the solution because a step is missing or there are insufficient explanations. The main goal of this exercise book is to address these issues to help students learn the material more efficiently and get better results. The book is for students taking a first course in linear algebra. It contains a wide variety of problems with very detailed solutions, and it is self-contained, as the summary for every concept is provided.

Decision-Making often refers to a multi-stage process that starts with some form of introspection or reflection about a situation in which a person or group of people find themselves. These ruminations usually lead to series of questions that need to be answered, or to a set of data that needs to be collected and analyzed, or to some calculations that need to be performed before someone can be in a position to make informed decisions and take appropriate actions.

In this document, we provide some simple examples of Quantitative Models, which are often found in a decision-making situation. We focus on the use of algebraic equations, probability models, the “Payoff Table” and “Decision Tree” models, to represent situations involving a sequence one or more of decisions over time. Concepts are illustrated with a large set of examples that can be presented during classroom instruction and can be practiced by the students, either individually or in groups, through homework or lab exercises.

This text is for an introductory level course in probability and statistics.

This work, "Mostly Harmless Probability and Statistics for NMC", is a derivative of "Mostly
Harmless Statistics" by Rachel Webb used under CC BY-NC 4.0. "Mostly Harmless Probability
and Statistics for NMC" is licensed under CC BY-NC 4.0 by Briana Mills.

Rachel Webb’s original text was a combination of Webb’s work, Statistics
Using Technology by Kathryn Kozak, and OpenIntro Statistics by Diez, Barr, Çetinkaya-Rundel.
All texts are licensed under CC BY-SA 4.0. Additional problem sets provided by Whitney Cave.
It has been updated by Briana Mills with help from Nate Butler and Tony Jenkins to match the
curriculum at NMC.

The textbook solutions for this book are available at: https://drive.google.com/drive/u/1/folders/1BTXchIplWzk0mjohao2xrE4cfeOOUsvI

My Math GPS: Elementary Algebra Guided Problem Solving is a textbook that aligns to the CUNY Elementary Algebra Learning Objectives that are tested on the CUNY Elementary Algebra Final Exam (CEAFE). This book contextualizes arithmetic skills into Elementary Algebra content using a problem-solving pedagogy. Classroom assessments and online homework are available from the authors.