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Algebra and Trigonometry
Unrestricted Use
CC BY
Algebra and Trigonometry
Rating

Algebra and Trigonometry provides a comprehensive exploration of algebraic principles and meets scope and sequence requirements for a typical introductory algebra and trigonometry course. The modular approach and the richness of content ensures that the book meets the needs of a variety of courses. Algebra and Trigonometry offers a wealth of examples with detailed, conceptual explanations, building a strong foundation in the material before asking students to apply what they’ve learned.

Table of Contents
1 Prerequisites
2 Equations and Inequalities
3 Functions
4 Linear Functions
5 Polynomial and Rational Functions
6 Exponential and Logarithmic Functions
7 The Unit Circle: Sine and Cosine Functions
8 Periodic Functions
9 Trigonometric Identities and Equations
10 Further Applications of Trigonometry
11 Systems of Equations and Inequalities
12 Analytic Geometry
13 Sequences, Probability, and Counting Theory

Access also available here: https://openstax.org/details/books/algebra-and-trigonometry

Subject:
Algebra
Trigonometry
Material Type:
Textbook
Provider:
Rice University
Provider Set:
OpenStax College
Author:
David Lippman
Jay Abramson
Jean-Marie Magnier
Melonie Rasmussen
Nicholas Belloit
Rachael Gross
Rick Norwood
Valeree Falduto
Date Added:
01/29/2015
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Applied Finite Mathematics
Unrestricted Use
CC BY
Applied Finite Mathematics
Rating

The text covered a comprehensive extent of topics; ranging from introductory topics of linear equations to more advanced topics such as Game Theory.

Subject:
Mathematics
Material Type:
Textbook
Author:
About The Contributors
De Anza College Cupertino
Rupinder Sekhon
Date Added:
03/15/2019
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Business Precalculus
Conditional Remix & Share Permitted
CC BY-SA
Business Precalculus
Rating

Chapter 1: Functions and Lines
Chapter 2: Systems of Equations and Matrices
Chapter 3: Linear Programming
Chapter 4: Polynomial and Rational Functions
Chapter 5: Exponential and Logarithmic Functions
Chapter 6: Finance
Chapter 7: Sets
Chapter 8: Probability

Subject:
Mathematics
Material Type:
Textbook
Author:
David Lippman
Date Added:
08/04/2020
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College Algebra
Unrestricted Use
CC BY
College Algebra
Rating

College Algebra provides a comprehensive and multi-layered exploration of algebraic principles. The text is suitable for a typical introductory Algebra course, and was developed to be used flexibly. The modular approach and the richness of content ensures that the book meets the needs of a variety of programs.College Algebraguides and supports students with differing levels of preparation and experience with mathematics. Ideas are presented as clearly as possible, and progress to more complex understandings with considerable reinforcement along the way. A wealth of examples – usually several dozen per chapter – offer detailed, conceptual explanations, in order to build in students a strong, cumulative foundation in the material before asking them to apply what they've learned.

OpenStax College has compiled many resources for faculty and students, from faculty-only content to interactive homework and study guides.

Access also available here: https://openstax.org/details/books/college-algebra

Table of Contents
1 Prerequisites
2 Equations and Inequalities
3 Functions
4 Linear Functions
5 Polynomial and Rational Functions
6 Exponential and Logarithmic Functions
7 Systems of Equations and Inequalities
8 Analytic Geometry
9 Sequences, Probability, and Counting Theory

Subject:
Algebra
Trigonometry
Material Type:
Textbook
Provider:
Rice University
Provider Set:
OpenStax College
Author:
David Lippman
Jay Abramson
Jean-Marie Magnier
Melonie Rasmussen
Nicholas Belloit
Rachael Gross
Rick Norwood
Valeree Falduto
Date Added:
01/29/2015
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College Algebra (BPCC Open Campus: MATH102)
Only Sharing Permitted
CC BY-NC-ND
College Algebra (BPCC Open Campus: MATH102)
Rating

This course is designed to take the concepts you learn in developmental math to expand your knowledge of algebra. This course will focus on two major algebraic concepts to learn - how to SOLVE equations and how to GRAPH equations. Throughout this course you will be challenged to recall ALL of your prior knowledge of operations of real numbers as well as your knowledge related to solving and graphing linear equations (which you should have already mastered from developmental algebra). You will use this prior knowledge to expand on learning the following objectives: solving linear & rational equations. operations of complex numbers, solving quadratic equations, solving radical & polynomial equations, solving equations with rational exponents, solving linear and compound inequalities, solving absolute value equations and inequalities, graphing linear equations & slope, understanding concepts of domain, range and function notation, finding compositions of functions, finding inverses of functions, solving and graphing exponential and logarithmic equations, solving and graphing systems of equations and inequalities, and graphing conics.

*Open Campus courses are non-credit tutorials and cannot, in and of themselves, be used to satisfy degree requirements at Bossier Parish Community College (BPCC). (College Algebra Course by Bossier Parish Community College is licensed under a Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License. Based on a work at http://bpcc.edu/opencampus/index.html.)

Subject:
Mathematics
Algebra
Material Type:
Full Course
Provider:
Bossier Parish Community College
Author:
Stacey Black
Date Added:
07/14/2020
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College Algebra Open Course
Conditional Remix & Share Permitted
CC BY-NC-SA
College Algebra Open Course
Rating

The goal of this course is to offer a fundamental understanding of algebraic concepts which form an important component of an undergraduate education and to enhance the algebraic skills and knowledge necessary for upper-level mathematics courses and for courses in many other disciplines. The Department of Mathematics is offering Math 1111 College Algebra course designed around the Emporium Model. The underlying principle of this model is very simple:

“Students learn math by doing math not by listening to someone talk about doing math.”

The students enrolled in Math 1111 spend one hour a week at a fixed time with their professor and then a minimum of three flexible hours a week in the Math Emporium lab which is staffed with professors and undergraduate learning assistants (ULA’s).

During the meeting at the fixed time, professors guide the students through their responsibilities, connect concepts, work examples, and point out common student misconceptions. In the Math Emporium lab, professors and ULA’s offer immediate and personalized help with math concepts.

Subject:
Mathematics
Material Type:
Full Course
Author:
Marcela Chiorescu
Date Added:
10/27/2020
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College Mathematics
Conditional Remix & Share Permitted
CC BY-NC-SA
College Mathematics
Rating

Table of Contents
Chapter 1: Fundamentals of Geometry
Chapter 2 – Measurement and Dimensional Analysis
Chapter 3: Linear Functions
Chapter 4: Percentages
Chapter 5: Savings
Chapter 6: Annuities and Loans
Chapter 7: Sets and Venn Diagrams
Chapter 8 – Introduction to Probability
Chapter 9 – Probability and Counting
Chapter 10 - Statistics
Chapter 11 – Describing Data
Chapter 12 – The Normal Distribution

Subject:
Mathematics
Material Type:
Textbook
Author:
Carla Stroud
Jenifer Bohart
Tracey Haynie
Date Added:
08/04/2020
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Delgado Contemporary Math (OER Course Transformation)
Conditional Remix & Share Permitted
CC BY-NC-SA
Delgado Contemporary Math (OER Course Transformation)
Rating

Introduction to topics in contemporary mathematics. Topics may include the theory of finance, perspective and symmetry in art, formal Aristotelian logic, graph theory, probability and odds, statistics, elementary number theory, optimization, numeracy in the real world, and historical topics in mathematics that have influenced contemporary mathematics. (Topics will vary)

The Contemporary Mathematics course associated with this resource was built using the Lumen OHM platform, and GUEST access is available to view the course content in Canvas Commons and in Lumen OHM.

Subject:
Mathematics
Material Type:
Assessment
Full Course
Interactive
Lecture
Reading
Syllabus
Provider:
LOUIS: The Louisiana Library Network
Author:
Kiel Ellis
Date Added:
03/11/2021
MoreLess
Elementary Algebra
Unrestricted Use
CC BY
Elementary Algebra
Rating

Elementary Algebra is designed to meet the scope and sequence requirements of a one-semester elementary algebra course. The book’s organization makes it easy to adapt to a variety of course syllabi. The text expands on the fundamental concepts of algebra while addressing the needs of students with diverse backgrounds and learning styles. Each topic builds upon previously developed material to demonstrate the cohesiveness and structure of mathematics.

Table of Contents
1. Foundations
2. Solving Linear Equations and Inequalities
3. Math Models
4. Graphs
5. Systems of Linear Equations
6. Polynomials
7. Factoring
8. Rational Expressions and Equations
9. Roots and Radicals
10. Quadratic Equations

Access also available here: https://openstax.org/details/books/elementary-algebra

Subject:
Mathematics
Algebra
Material Type:
Textbook
Author:
Lynn Marecek
MaryAnne Anthony-Smith
Date Added:
03/28/2019
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Finite Mathematics
Only Sharing Permitted
CC BY-NC-ND
Finite Mathematics
Rating

Chapter 1 – Linear Functions in Business and Economics
Chapter 2 – Solving Systems of Linear Equations
Chapter 3 – Matrices
Chapter 4 – Linear Programming
Chapter 5 – The Mathematics of Finance
Chapter 6 – Introduction to Statistics
Chapter 7 – Introduction to Probability
Chapter 8 – Counting Principles
Chapter 9 – Introduction to Probability Distributions

Includes a Finite Mathematics Workbook: https://math-faq.com/wp/finite-mathematics-workbook/ . In each workbook, you will find key terms, a short summary, and guided problems for each section in the ebook. Accompanying each guided example is a practice problem for students to complete. Answers to the practice problems are available at the end of each chapter’s workbook.

Subject:
Mathematics
Material Type:
Activity/Lab
Textbook
Author:
Pearson Education
Date Added:
06/18/2020
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Fundamentals of Matrix Algebra
Conditional Remix & Share Permitted
CC BY-NC
Fundamentals of Matrix Algebra
Rating

A college (or advanced high school) level text dealing with the basic principles of matrix and linear algebra. It covers solving systems of linear equations, matrix arithmetic, the determinant, eigenvalues, and linear transformations. Numerous examples are given within the easy to read text. This third edition corrects several errors in the text and updates the font faces.

Table of Contents
1 Systems of Linear Equations

1.1 Introduction to Linear Equations
1.2 Using Matrices To Solve Systems of Linear Equations
1.3 Elementary Row Operations and Gaussian Elimination
1.4 Existence and Uniqueness of Solutions
1.5 Applications of Linear Systems
2 Matrix Arithmetic

2.1 Matrix Addition and Scalar Multiplication
2.2 Matrix Multiplication
2.3 Visualizing Matrix Arithmetic in 2D
2.4 Vector Solutions to Linear Systems
2.5 Solving Matrix Equations AX = B
2.6 The Matrix Inverse
2.7 Properties of the Matrix Inverse
3 Operations on Matrices

3.1 The Matrix Transpose
3.2 The Matrix Trace
3.3 The Determinant
3.4 Properties of the Determinant
3.5 Cramer’s Rule
4 Eigenvalues and Eigenvectors

4.1 Eigenvalues and Eigenvectors
4.2 Properties of Eigenvalues and Eigenvectors
5 Graphical Explorations of Vectors

5.1 Transformations of the Cartesian Plane
5.2 Properties of Linear Transformations
5.3 Visualizing Vectors: Vectors in Three Dimensions

Subject:
Mathematics
Material Type:
Textbook
Author:
Gregory Hartman
Date Added:
06/23/2020
MoreLess
Intermediate Algebra
Unrestricted Use
CC BY
Intermediate Algebra
Rating

Intermediate Algebra is designed to meet the scope and sequence requirements of a one-semester Intermediate algebra course. The book's organization makes it easy to adapt to a variety of course syllabi. The text expands on the fundamental concepts of algebra while addressing the needs of students with diverse backgrounds and learning styles. Each topic builds upon previously developed material to demonstrate the cohesiveness and structure of mathematics.

Table of Contents
1 Foundations
2 Solving Linear Equations
3 Graphs and Functions
4 Systems of Linear Equations
5 Polynomials and Polynomial Functions
6 Factoring
7 Rational Expressions and Functions
8 Roots and Radicals
9 Quadratic Equations and Functions
10 Exponential and Logarithmic Functions
11 Conics
12 Sequences, Series and Binomial Theorem

Subject:
Mathematics
Material Type:
Textbook
Author:
Lynn Marecek
Date Added:
06/23/2020
MoreLess
Intermediate Algebra and Trigonometry
Conditional Remix & Share Permitted
CC BY-NC
Intermediate Algebra and Trigonometry
Rating

This textbook is intended for adult learners who wish to review and improve their algebra skills. The content covers all the ABE outcomes for the Algebraic Math - Advanced Level. The concepts are explained concisely, but with enough depth to provide students with the background necessary for success in college or university level mathematics. The ample number of examples and exercises makes this text a great resource for students as well as for instructors.

Subject:
Mathematics
Material Type:
Textbook
Author:
Anna Kuczynska
University Of Fraser Valley
Date Added:
05/13/2020
MoreLess
Intermediate Algebra for Science, Technology, Engineering, and Mathematics
Unrestricted Use
CC BY
Intermediate Algebra for Science, Technology, Engineering, and Mathematics
Rating

Arithmetic Essentials
Linear Equations
Graphing Linear Equations
Linear Inequalities in One and Two Variables
Systems of Linear Equations in Two and Three Variables
Functions
Exponents and Polynomials
Factoring Expressions and Solving by Factoring
Rational Expressions
Rational Equations and Applications
Radicals
Quadratic Equations and Applications
Exponential and Logarithmic Functions
Introduction to Conics

Subject:
Mathematics
Material Type:
Textbook
Author:
Darlene Diaz
Date Added:
07/09/2020
MoreLess
Introductory Statistics
Unrestricted Use
CC BY
Introductory Statistics
Rating

Introductory Statistics follows scope and sequence requirements of a one-semester introduction to statistics course and is geared toward students majoring in fields other than math or engineering. The text assumes some knowledge of intermediate algebra and focuses on statistics application over theory. Introductory Statistics includes innovative practical applications that make the text relevant and accessible, as well as collaborative exercises, technology integration problems, and statistics labs.

Access also available here: https://openstax.org/details/books/introductory-statistics

Table of Contents
Sampling and Data
Descriptive Statistics
Probability Topics
Discrete Random Variables
Continuous Random Variables
The Normal Distribution
The Central Limit Theorem
Confidence Intervals
Hypothesis Testing with One Sample
Hypothesis Testing with Two Samples
The Chi-Square Distribution
Linear Regression and Correlation
F Distribution and One-Way ANOVA

Subject:
Statistics and Probability
Material Type:
Textbook
Provider:
Rice University
Provider Set:
OpenStax College
Author:
Barbara Ilowsky
Susan Dean
Date Added:
07/19/2013
MoreLess
Introductory Statistics with Randomization and Simulation First Edition
Conditional Remix & Share Permitted
CC BY-SA
Introductory Statistics with Randomization and Simulation First Edition
Rating

We hope readers will take away three ideas from this book in addition to forming a foundation of statistical thinking and methods.

(1) Statistics is an applied field with a wide range of practical applications.

(2) You don't have to be a math guru to learn from interesting, real data.

(3) Data are messy, and statistical tools are imperfect. However, when you understand the strengths and weaknesses of these tools, you can use them to learn interesting things about the world.

Reviews available here: https://open.umn.edu/opentextbooks/textbooks/introductory-statistics-with-randomization-and-simulation-first-edition

Subject:
Statistics and Probability
Material Type:
Textbook
Provider:
OpenIntro
Author:
Christopher Barr
David Diez
Mine Çetinkaya-Runde
Date Added:
04/24/2019
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Key Concepts of Intermediate Level Math
Unrestricted Use
CC BY
Key Concepts of Intermediate Level Math
Rating

This textbook is a concise, understandable, and effective guide on intermediate level mathematics. This book can be used by Adult Basic Education programs at colleges; students in community colleges, high schools, tutoring, or resource rooms; self-study readers, including new teachers to brush up on their mathematics; professionals as a quick review of some basic mathematic formulas and concepts; and by parents to help their children with homework. In this book, each topic, concept, term, and phrase has a clear definition followed by examples. It acts as a concise study guide, quickly getting to the heart of each particular topic, helping students with a quick review before doing mathematics homework or preparing for tests. Key terms, definitions, properties, phrases, concepts, formulae, rules, and equations are easily located, and it provides clear step-by-step procedures for applying theorems and solving word problems, using realistic real-world application examples. In addition, each unit has a self-test that allows students to test their understanding of the material. Students can also take the self-test before beginning the unit to determine how much they know about the topic. Those who do well may decide to move on to the next unit.

Subject:
Mathematics
Material Type:
Textbook
Author:
College Of New Caledonia
Meizhong Wang
Date Added:
05/13/2020
MoreLess