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College Trigonometry
Conditional Remix & Share Permitted
CC BY-NC-SA
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This book was designed as an introductory trigonometry textbook for college students with the explicit goal of reducing textbook costs.

Subject:
Algebra
Mathematics
Trigonometry
Material Type:
Textbook
Author:
Carl Stitz
Jeff Zeager
Date Added:
07/15/2011
A Computational Introduction to Number Theory and Algebra
Only Sharing Permitted
CC BY-NC-ND
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All of the mathematics required beyond basic calculus is developed “from scratch.” Moreover, the book generally alternates between “theory” and “applications”: one or two chapters on a particular set of purely mathematical concepts are followed by one or two chapters on algorithms and applications; the mathematics provides the theoretical underpinnings for the applications, while the applications both motivate and illustrate the mathematics. Of course, this dichotomy between theory and applications is not perfectly maintained: the chapters that focus mainly on applications include the development of some of the mathematics that is specific to a particular application, and very occasionally, some of the chapters that focus mainly on mathematics include a discussion of related algorithmic ideas as well.

The mathematical material covered includes the basics of number theory (including unique factorization, congruences, the distribution of primes, and quadratic reciprocity) and of abstract algebra (including groups, rings, fields, and vector spaces). It also includes an introduction to discrete probability theory—this material is needed to properly treat the topics of probabilistic algorithms and cryptographic applications. The treatment of all these topics is more or less standard, except that the text only deals with commutative structures (i.e., abelian groups and commutative rings with unity) — this is all that is really needed for the purposes of this text, and the theory of these structures is much simpler and more transparent than that of more general, non-commutative structures.

Subject:
Algebra
Mathematics
Material Type:
Textbook
Author:
Victor Shoup
Date Added:
01/01/2008
Elementary Algebra
Unrestricted Use
CC BY
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0.0 stars

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.

Subject:
Algebra
Mathematics
Material Type:
Textbook
Provider:
Rice University
Provider Set:
OpenStax College
Author:
Lynn Marecek
MaryAnne Anthony-Smith
Date Added:
06/14/2019
Elementary Algebra
Unrestricted Use
CC BY
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Elementary Algebra is a work text that covers the traditional topics studied in a modern elementary algebra course. It is intended for students who (1) have no exposure to elementary algebra, (2) have previously had an unpleasant experience with elementary algebra, or (3) need to review algebraic concepts and techniques.

Subject:
Algebra
Mathematics
Material Type:
Full Course
Textbook
Provider:
Rice University
Provider Set:
OpenStax CNX
Author:
Denny Burzynski
Wade Ellis
Date Added:
08/16/2010
Elementary Algebra
Conditional Remix & Share Permitted
CC BY-NC-SA
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It is essential to lay a solid foundation in mathematics if a student is to be competitive in today's global market. The importance of algebra, in particular, cannot be overstated, as it is the basis of all mathematical modeling used in applications found in all disciplines. Traditionally, the study of algebra is separated into a two parts, elementary algebra and intermediate algebra. This textbook, Elementary Algebra, is the first part, written in a clear and concise manner, making no assumption of prior algebra experience. It carefully guides students from the basics to the more advanced techniques required to be successful in the next course.

Subject:
Algebra
Mathematics
Material Type:
Textbook
Provider:
The Saylor Foundation
Author:
John Redden
Date Added:
06/14/2019
A First Course in Linear Algebra
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A First Course in Linear Algebra is an introductory textbook aimed at college-level sophomores and juniors. Typically students will have taken calculus, but it is not a prerequisite. The book begins with systems of linear equations, then covers matrix algebra, before taking up finite-dimensional vector spaces in full generality. The final chapter covers matrix representations of linear transformations, through diagonalization, change of basis and Jordan canonical form. Determinants and eigenvalues are covered along the way.

Subject:
Algebra
Mathematics
Material Type:
Textbook
Provider:
University of Puget Sound
Author:
Robert Beezer
Date Added:
12/05/2019
Fundamentals of Matrix Algebra
Conditional Remix & Share Permitted
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.

Subject:
Algebra
Mathematics
Material Type:
Textbook
Author:
Gregory Hartman
Date Added:
12/05/2019
Intermedia Algebra
Unrestricted Use
CC BY
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0.0 stars

This is a great textbook for Intermediate Algebra or College Algebra course. This textbook includes covers standard topics such as linear functions/equation, graphs and functions, systems of linear equations, polynomials, rational functions, roots and radicals, quadratic functions/equations, exponential and logarithmic functions, conics, and sequences and series. All of topics are self-contained and instructors do not have to provide supplements. However, instructors, who plan to cover trigonometric functions, may need to provide extra materials.

Subject:
Algebra
Mathematics
Material Type:
Textbook
Provider:
Rice University
Provider Set:
OpenStax CNX
Author:
Lynn Marecek
Date Added:
12/05/2019
Intermediate Algebra
Rating
0.0 stars

Intermediate Algebra is a textbook for students who have some acquaintance with the basic notions of variables and equations, negative numbers, and graphs, although we provide a "Toolkit" to help the reader refresh any skills that may have gotten a little rusty. In this book we journey farther into the subject, to explore a greater variety of topics including graphs and modeling, curve-fitting, variation, exponentials and logarithms, and the conic sections. We use technology to handle data and give some instructions for using a graphing calculator, but these can easily be adapted to any other graphing utility.

Table of Contents
1. Linear Models
2. Applications of Linear Models
3. Quadratic Models
4. Applications of Quadratic Models
5. Functions and Their Graphs
6. Powers and Roots
7. Exponential Functions
8. Polynomials and Rational Functions
9. Equations and Graphs
10. Logarithmic Functions

Subject:
Algebra
Mathematics
Material Type:
Activity/Lab
Textbook
Author:
Katherine Yoshiwara
Date Added:
11/18/2021
Intermediate Algebra
Conditional Remix & Share Permitted
CC BY-NC-SA
Rating
0.0 stars

It is essential to lay a solid foundation in mathematics if a student is to be competitive in today's global market. The importance of algebra, in particular, cannot be overstated, as it is the basis of all mathematical modeling used in applications found in all disciplines.

Traditionally, the study of algebra is separated into a two parts, Elementary and Intermediate Algebra. This textbook by John Redden, Intermediate Algebra, is the second part. Written in a clear and concise manner, it carefully builds on the basics learned in Elementary Algebra and introduces the more advanced topics required for further study in applications found in most disciplines.

Used as a standalone textbook, Intermediate Algebra offers plenty of review as well as something new to engage the student in each chapter. Written as a blend of the traditional and graphical approaches to the subject, this textbook introduces functions early and stresses the geometry behind the algebra. While CAS independent, a standard scientific calculator will be required and further research using technology is encouraged.

Intermediate Algebra is written from the ground up in an open and modular format, allowing the instructor to modify it and leverage their individual expertise as a means to maximize the student experience and success.

A more modernized element, embedded video examples, are present, but the importance of practice with pencil and paper is consistently stressed. Therefore, this text respects the traditional approaches to algebra pedagogy while enhancing it with the technology available today.

The importance of Algebra cannot be overstated; it is the basis for all mathematical modeling used in all disciplines. After completing a course sequence based on Elementary and Intermediate Algebra, students will be on firm footing for success in higher-level studies at the college level.

Subject:
Algebra
Mathematics
Material Type:
Textbook
Provider:
The Saylor Foundation
Author:
John Redden
Date Added:
12/05/2019
Intermediate Algebra
Read the Fine Print
Educational Use
Rating
0.0 stars

Intermediate Algebra is a textbook for students who have some acquaintance with the basic notions of variables and equations, negative numbers, and graphs, although we provide a "Toolkit" to help the reader refresh any skills that may have gotten a little rusty. In this book we journey farther into the subject, to explore a greater variety of topics including graphs and modeling, curve-fitting, variation, exponentials and logarithms, and the conic sections. We use technology to handle data and give some instructions for using a graphing calculator, but these can easily be adapted to any other graphing utility.

Subject:
Algebra
Mathematics
Material Type:
Textbook
Author:
Katherine Yoshiwara
Date Added:
02/23/2022
Intermediate Algebra I
Unrestricted Use
CC BY
Rating
0.0 stars

This textbook is aligned with the British Columbia Adult Basic Education learning outcomes for Mathematics: Intermediate Level Algebra. The textbook introduces the fundamental concepts of algebra, geometry, and trigonometry 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.

Subject:
Algebra
Mathematics
Material Type:
Textbook
Provider:
British Columbia/Yukon Open Authoring Platform
Author:
Pooja Gupta
Date Added:
07/10/2021
Intermediate Algebra (MATH 9Y)
Unrestricted Use
CC BY
Rating
0.0 stars

Students will learn to solve compound inequalities, absolute value inequalities, and systems of equations, simplify radical expressions, solve quadratic equations and applications and simplify compound fractions, solve rational equations and applications, use function notation to solve problems and use exponential and logarithmic functions.Login: guest_oclPassword: ocl

Subject:
Algebra
Mathematics
Material Type:
Full Course
Homework/Assignment
Lecture Notes
Lesson Plan
Syllabus
Provider:
Washington State Board for Community & Technical Colleges
Provider Set:
Open Course Library
Date Added:
10/31/2011
Introductory Algebra
Unrestricted Use
CC BY
Rating
0.0 stars

This textbook is aligned with the British Columbia Adult Basic Education learning outcomes for Mathematics: Intermediate Level Algebra. The textbook introduces the fundamental concepts of algebra, geometry, and trigonometry 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.

Subject:
Algebra
Mathematics
Material Type:
Textbook
Provider:
BCcampus
Author:
Izabela Mazur
Date Added:
05/19/2021
Linear Algebra
Conditional Remix & Share Permitted
CC BY-SA
Rating
0.0 stars

Linear Algebra is a text for a first US undergraduate Linear Algebra course. It is Free. You can use it as a main text, as a supplement, or for independent study.

Subject:
Algebra
Mathematics
Material Type:
Textbook
Provider:
St. Michael's College
Author:
Jim Hefferon
Date Added:
01/01/2011
Linear Algebra
Conditional Remix & Share Permitted
CC BY-NC-SA
Rating
0.0 stars

We believe the entire book can be taught in twenty five 50-minute lectures to a sophomore audience that has been exposed to a one year calculus course. Vector calculus is useful, but not necessary preparation for this book, which attempts to be self-contained. Key concepts are presented multiple times, throughout the book, often first in a more intuitive setting, and then again in a definition, theorem, proof style later on. We do not aim for students to become agile mathematical proof writers, but we do expect them to be able to show and explain why key results hold. We also often use the review exercises to let students discover key results for themselves; before they are presented again in detail later in the book.

Subject:
Algebra
Mathematics
Material Type:
Textbook
Author:
Andrew Waldon
David Cherney
Tom Denton
Date Added:
01/01/2016