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Algebra

Applied: Emphasis on applications involving: solving equations and inequalities; function properties and graphs; linear, quadratic, polynomial, exponential and logarithmic functions.

College: In-depth treatment of solving equations and inequalities; function properties and graphs; inverse functions; linear, quadratic, polynomial, rational, exponential and logarithmic functions with applications; systems of equations.

Algebra and Trigonometry: A combined course on: function properties and graphs; inverse functions; linear, quadratic, polynomial, rational, exponential and logarithmic functions with applications; systems of equations; trigonometric functions and graphs; inverse trigonometric functions; fundamental identities and angle formulas; solving equations, triangles with applications; polar coordinate system.

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Algebra and Trigonometry
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CC BY
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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
Mathematics
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
College Algebra
Unrestricted Use
CC BY
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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
Mathematics
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
College Algebra (BPCC Open Campus: MATH102)
Only Sharing Permitted
CC BY-NC-ND
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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:
Algebra
Mathematics
Material Type:
Full Course
Provider:
Bossier Parish Community College
Author:
Stacey Black
Date Added:
07/14/2020
College Algebra Open Course
Conditional Remix & Share Permitted
CC BY-NC-SA
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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
Elementary Algebra
Unrestricted Use
CC BY
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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:
Algebra
Mathematics
Material Type:
Textbook
Author:
MaryAnne Anthony-Smith
Lynn Marecek
Date Added:
03/28/2019
Fundamentals of Matrix Algebra
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CC BY-NC
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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
Intermediate Algebra
Unrestricted Use
CC BY
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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
Intermediate Algebra and Trigonometry
Conditional Remix & Share Permitted
CC BY-NC
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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
Intermediate Algebra for Science, Technology, Engineering, and Mathematics
Unrestricted Use
CC BY
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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
Key Concepts of Intermediate Level Math
Unrestricted Use
CC BY
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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
Modeling, Functions, and Graphs
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Modeling, Functions, and Graphs covers the content of a typical college algebra course with an emphasis on functions and modeling; when combined with a trigonometry text or supplement, this text can be used in a precalculus course.

The text employs a variety of applications to motivate mathematical thinking. Each chapter opens with a problem of historical or contemporary significance highlighting the material in the chapter, and includes by an Investigation that previews the skills to be introduced. These Investigations can be used in class as guided explorations or as projects for small groups. We have also provided a set of more challenging Projects at the end of each chapter.

Table of Contents
1. Functions and Their Graphs
2. Modeling with Functions
3. Power Functions
4. Exponential Functions
5. Logarithmic Functions
6. Quadratic Functions
7. Polynomials and Rational Functions
8. Linear Systems
9. Sequences and Series

Subject:
Mathematics
Material Type:
Textbook
Author:
Pierce College
Katherine Yoshiwara
Date Added:
11/24/2021
ORCCA: Open Resources for Community College Algebra
Unrestricted Use
CC BY
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This textbook, winner of the 2018 Digital Learning Innovation Award, was developed by the mathematics faculty at Portland Community College under the direction of Alex Jordan and Ann Cary with careful attention to accessibility issues. It has been class tested there and is being used elsewhere. The book is offered in three formats: online HTML (or eBook), PDF, and print. The versions are essentially identical, but the eBook version has features unavailable in the other versions such as the video lessons and checkpoint problems with boxes for the student to enter answers and submit them for checking (not grading). In the PDF and print versions the checkpoint problems are followed by worked out solutions.

The various versions are all produced from the same source files written in PreTeXt.

Table of contents:

Basic Math Review
Variables, Expressions, and Equations
Linear Equations and Inequalities
Graphing Lines
Systems of Linear Equations
Exponents and Polynomials
Factoring
Solving Quadratic Equations
Graphs of Quadratic Functions
Functions and Their Representations
Absolute Value Functions
More on Quadratic Functions
Rational Functions and Equations
Radical Functions and Equations

Other formats and reviews available here: https://open.umn.edu/opentextbooks/textbooks/open-resources-for-community-college-algebra

Subject:
Algebra
Mathematics
Material Type:
Textbook
Author:
Alex Jordan
Ann Cary
Date Added:
07/11/2019
OpenStax College Algebra Chapter 2 Lecture Notes
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CC BY-NC-SA
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PowerPoint Slides to accompany Chapter 2 of OpenStax College Algebra textbook. Prepared by River Parishes Community College (Jared Eusea, Assistant Professor of Mathematics, and Ginny Bradley, Instructor of Mathematics) for OpenStax College Algebra textbook under a Creative Commons Attribution-ShareAlike 4.0 International License. Date provided: July 2019.

Subject:
Algebra
Mathematics
Material Type:
Lecture
Lecture Notes
Author:
Jared Eusea
Date Added:
07/30/2019
OpenStax College Algebra Chapter 3 (Part 1) Lecture Notes
Conditional Remix & Share Permitted
CC BY-NC-SA
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PowerPoint Slides to accompany Chapter 3 (Sections 3.1, 3.2 and 3.3) of OpenStax College Algebra textbook. Prepared by River Parishes Community College (Jared Eusea, Assistant Professor of Mathematics, and Ginny Bradley, Instructor of Mathematics) for OpenStax College Algebra textbook under a Creative Commons Attribution-ShareAlike 4.0 International License. Date provided: July 2019.

Subject:
Algebra
Mathematics
Material Type:
Lecture
Lecture Notes
Author:
Jared Eusea
Date Added:
07/30/2019
OpenStax College Algebra Chapter 3 (Part 2) Lecture Notes
Conditional Remix & Share Permitted
CC BY-NC-SA
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PowerPoint Slides to accompany Chapter 3 (Sections 3.4, 3.5 and 3.7) of OpenStax College Algebra textbook. Prepared by River Parishes Community College (Jared Eusea, Assistant Professor of Mathematics, and Ginny Bradley, Instructor of Mathematics) for OpenStax College Algebra textbook under a Creative Commons Attribution-ShareAlike 4.0 International License. Date provided: July 2019.

Subject:
Algebra
Mathematics
Material Type:
Lecture
Lecture Notes
Author:
Jared Eusea
Date Added:
07/30/2019
OpenStax College Algebra Chapter 4 Lecture Notes
Conditional Remix & Share Permitted
CC BY-NC-SA
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PowerPoint Slides to accompany Chapter 4 (Sections 4.1 and 4.2) of OpenStax College Algebra textbook. Prepared by River Parishes Community College (Jared Eusea, Assistant Professor of Mathematics, and Ginny Bradley, Instructor of Mathematics) for OpenStax College Algebra textbook under a Creative Commons Attribution-ShareAlike 4.0 International License. Date provided: July 2019.

Subject:
Algebra
Mathematics
Material Type:
Lecture
Lecture Notes
Author:
Jared Eusea
Date Added:
07/30/2019
OpenStax College Algebra Chapter 5 Lecture Notes
Conditional Remix & Share Permitted
CC BY-NC-SA
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PowerPoint Slides to accompany Chapter 5 (Sections 5.1, 5.2, 5.3 and 5.6) of OpenStax College Algebra textbook. Prepared by River Parishes Community College (Jared Eusea, Assistant Professor of Mathematics, and Ginny Bradley, Instructor of Mathematics) for OpenStax College Algebra textbook under a Creative Commons Attribution-ShareAlike 4.0 International License. Date provided: July 2019.

Subject:
Algebra
Mathematics
Material Type:
Lecture
Lecture Notes
Author:
Jared Eusea
Date Added:
07/30/2019
OpenStax College Algebra Chapter 6 Lecture Notes
Conditional Remix & Share Permitted
CC BY-NC-SA
Rating
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PowerPoint Slides to accompany Chapter 6 of OpenStax College Algebra textbook. Prepared by River Parishes Community College (Jared Eusea, Assistant Professor of Mathematics, and Ginny Bradley, Instructor of Mathematics) for OpenStax College Algebra textbook under a Creative Commons Attribution-ShareAlike 4.0 International License. Date provided: July 2019.

Subject:
Algebra
Mathematics
Material Type:
Lecture
Lecture Notes
Author:
Jared Eusea
Date Added:
07/30/2019
OpenStax College Algebra Chapter 7 Lecture Notes
Conditional Remix & Share Permitted
CC BY-NC-SA
Rating
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PowerPoint Slides to accompany Chapter 7 (Section 7.1 only) of OpenStax College Algebra textbook. Prepared by River Parishes Community College (Jared Eusea, Assistant Professor of Mathematics, and Ginny Bradley, Instructor of Mathematics) for OpenStax College Algebra textbook under a Creative Commons Attribution-ShareAlike 4.0 International License. Date provided: July 2019.

Subject:
Algebra
Mathematics
Material Type:
Lecture
Lecture Notes
Author:
Jared Eusea
Date Added:
07/30/2019