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Linear Algebra
Conditional Remix & Share Permitted
CC BY-SA
Rating
5.0 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
Material Type:
Textbook
Provider:
St. Michael's College
Author:
Jim Hefferon
Date Added:
01/01/2011
Understanding Linear Algebra
Unrestricted Use
CC BY
Rating
0.0 stars

Understanding Linear Algebra is a freely available linear algebra textbook suitable for use in a first undergraduate linear algebra course. The text aims to support readers as they develop their ability to think about linear algebra conceptually, their computational fluency, and their understanding of the role that linear algebra plays in shaping our society. It is also designed to support an active learning classroom environment.

Subject:
Mathematics
Algebra
Material Type:
Activity/Lab
Textbook
Author:
David Austin
Date Added:
05/10/2023
Linear Algebra with Applications
Conditional Remix & Share Permitted
CC BY-NC-SA
Rating
5.0 stars

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).

Subject:
Algebra
Material Type:
Textbook
Provider:
Lyryx Learning
Author:
W. Keith Nicholson
Date Added:
01/17/2018
A First Course in Linear Algebra
Unrestricted Use
CC BY
Rating
5.0 stars

This text, originally by K. Kuttler, has been redesigned by the Lyryx editorial team as a first course in linear algebra for science and engineering students who have an understanding of basic algebra.
All major topics of linear algebra are available in detail, as well as proofs of important theorems. In addition, connections to topics covered in advanced courses are introduced. The text is designed in a modular fashion to maximize flexibility and facilitate adaptation to a given course outline and student profile.
Each chapter begins with a list of student learning outcomes, and examples and diagrams are given throughout the text to reinforce ideas and provide guidance on how to approach various problems. Suggested exercises are included at the end of each section, with selected answers at the end of the text.
Lyryx develops and supports open texts, with editorial services to adapt the text for each particular course. In addition, Lyryx provides content-specific formative online assessment, a wide variety of supplements, and in-house support available 7 days/week for both students and instructors.

Subject:
Mathematics
Material Type:
Homework/Assignment
Lecture Notes
Textbook
Provider:
Lyryx Learning
Author:
Adapted by Lyryx Learning
K. Kuttler
Date Added:
02/12/2015
Linear Algebra with Applications
Conditional Remix & Share Permitted
CC BY-NC-SA
Rating
0.0 stars

An adaptation for MAT223 UTM

Short Description:
This open textbook is an adaptation of Linear Algebra with Applications by W. Keith Nicholson. The original book can be found and downloaded from Lyryx.com. Five topics are covered here: system of linear equations, matrix algebra, determinants and diagonalization, vector geometry and vector space. It's suitable for beginners who are interested in learning linear algebra. Readers will have the opportunity to work through H5P elements embedded in every chapter to check their understanding of core concepts on their own.

Word Count: 53792

(Note: This resource's metadata has been created automatically by reformatting and/or combining the information that the author initially provided as part of a bulk import process.)

Subject:
Mathematics
Algebra
Material Type:
Textbook
Author:
Xinli Wang
Date Added:
10/11/2021
Linear Algebra, Theory And Applications
Conditional Remix & Share Permitted
CC BY-SA
Rating
0.0 stars

This is a book on linear algebra and matrix theory. While it is self contained, it will work best for those who have already had some exposure to linear algebra. It is also assumed that the reader has had calculus. Some optional topics require more analysis than this, however.

This book features an ugly, elementary, and complete treatment of determinants early in the book. Thus it might be considered as Linear algebra done wrong. I have done this because of the usefulness of determinants. However, all major topics are also presented in an alternative manner which is independent of determinants.

The book has an introduction to various numerical methods used in linear algebra. This is done because of the interesting nature of these methods. The presentation here emphasizes the reasons why they work. It does not discuss many important numerical considerations necessary to use the methods effectively. These considerations are found in numerical analysis texts.

Subject:
Algebra
Material Type:
Textbook
Provider:
The Saylor Foundation
Provider Set:
Saylor Textbooks
Author:
Kenneth Kuttler
Date Added:
03/06/2012
Linear Algebra: An Interactive Introduction
Conditional Remix & Share Permitted
CC BY-NC-SA
Rating
0.0 stars

This is a web-based, interactive, introductory linear algebra text. Interactive elements include auto-graded exercises, built-in GeoGebra activities, and Octave code. Topics include vectors and matrices, linear systems, vector spaces (R^n and abstract), linear transformations, eigenvalues, orthogonality, and determinants. Strong emphasis is placed on geometry and visualization. Several applications are included, and links to numerous applications are provided. To access the text directly, use https://ximera.osu.edu/oerlinalg/LinearAlgebra

Subject:
Mathematics
Material Type:
Textbook
Provider:
Ximera
Author:
Anna Davis
Paul Zachlin
Date Added:
01/10/2023
WeBWorK Problems for Linear Algebra
Unrestricted Use
CC BY
Rating
0.0 stars

This set of problems for Linear Algebra in the open-source WeBWorK mathematics platform was created under a Round Eleven Mini-Grant for Ancillary Materials Creation. The problems were created for an implementation of the CC-BY Lyrix open textbook A First Course in Linear Algebra. Also included as an additional file are the selected and modified Lyryx Class Notes for the textbook.

Topics covered include:

Linear Independence
Linear Transformations
Matrix of a Transformation
Isomorphisms
Eigenvalues and Eigenvectors
Diagonalization
Orthogonality

Subject:
Algebra
Material Type:
Interactive
Provider:
University System of Georgia
Provider Set:
Galileo Open Learning Materials
Author:
Beata Hebda
Hashim Saber
Date Added:
06/20/2018
Elementary Algebra
Conditional Remix & Share Permitted
CC BY-NC-SA
Rating
4.0 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 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
Material Type:
Textbook
Provider:
The Saylor Foundation
Provider Set:
Saylor Textbooks
Author:
John Redden
Date Added:
02/22/2011
Fundamentals of Matrix Algebra
Conditional Remix & Share Permitted
CC BY-NC
Rating
0.0 stars

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
Material Type:
Textbook
Author:
Gregory Hartman
Date Added:
06/28/2019
Algebra 1
Unrestricted Use
CC BY
Rating
0.0 stars

In this course students gain proficiency in Linear Equations, Linear Inequalities, Graphing linear equations, Solving Systems of Equations, Simplifying with Polynomials, Division of Polynomials, Factoring Polynomials, Developing a Factoring Strategy, and Solving Other Algebraic Equations.

Subject:
Career and Technical Education
Education
Mathematics
Material Type:
Full Course
Author:
Boyoung Chae
SBCTC Admin
Date Added:
01/29/2018
Beginning Algebra
Unrestricted Use
CC BY
Rating
4.0 stars

This course is also intended to provide the student with a strong foundation for intermediate algebra and beyond. Upon successful completion of this course, you will be able to: simplify and solve linear equations and expressions including problems with absolute values and applications; solve linear inequalities; find equations of lines; and solve application problems; add, subtract, multiply, and divide various types of polynomials; factor polynomials, and simplify square roots; evaluate, simplify, multiply, divide, add, and subtract rational expressions, and solve basic applications of rational expressions. This free course may be completed online at any time. It has been developed through a partnership with the Washington State Board for Community and Technical Colleges; the Saylor Foundation has modified some WSBCTC materials. (Mathematics 001)

Subject:
Algebra
Material Type:
Full Course
Provider:
The Saylor Foundation
Date Added:
04/16/2012
Introduction to GNU Octave: A Brief Tutorial for Linear Algebra and Calculus Students
Conditional Remix & Share Permitted
CC BY-SA
Rating
0.0 stars

These notes are intended to provide a brief, noncomprehensive introduction to GNU Octave, a free open source alternative to MatLab. The basic syntax and usage is explained through concrete examples from the mathematics courses a math, computer science, or engineering major encounters in the first two years of college: linear algebra, calculus, and differential equations.

Subject:
Engineering
Mathematics
Material Type:
Textbook
Provider:
Wytheville Community College
Author:
Jason Lachniet
Date Added:
05/12/2018
Beginning Algebra
Conditional Remix & Share Permitted
CC BY-NC
Rating
0.0 stars

Beginning Algebra Student Workbook, is based upon Introductory Algebra Student Workbook, Sixth Edition, 2016, by Scottsdale Community College. The content is designed to lead students through Beginning Algebra. After briefly reviewing prealgebra tools, we develop the key concepts and skills associated with linear and quadratic functions, maintaining a modeling approach throughout, with emphasis on conceptual understanding and applications. The workbook assumes the knowledge of prealgebra. Access to a basic calculator is assumed and the use of one is required for some of the examples in the lessons and exercises .

Subject:
Algebra
Material Type:
Module
Author:
lenore desilets
Date Added:
07/11/2019
Beginning and Intermediate Algebra
Unrestricted Use
CC BY
Rating
4.0 stars

Beginning and Intermediate Algebra by Tyler Wallace is a textbook licensed under a Creative Commons Attribution 3.0 Unported License. There is also a student guide and supplemental videos for each section.

Subject:
Algebra
Material Type:
Textbook
Provider:
Big Bend Community College
Author:
Tyler Wallace
Date Added:
01/29/2014
Intermedia Algebra
Unrestricted Use
CC BY
Rating
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
Material Type:
Textbook
Provider:
Rice University
Provider Set:
OpenStax CNX
Author:
Lynn Marecek
Date Added:
12/02/2019
CK12 Interactive Algebra for CCSS
Read the Fine Print
Educational Use
Rating
0.0 stars

This is a complete, full-year Algebra 1 course with tons of interactivity included in every lesson. Some lessons include videos, and all include interactives and newly added inline questions. Inline questions offer instant, per-answer feedback to help you learn by knowing why your answers are correct or incorrect. Every lesson also has specifically chosen 'Related Modalities' that teach the same concept in different ways. Related Modalities may be additional videos, interactives, or study guides (often written by students themselves). You can choose to use the resources directly embedded within the Algebra 1 FlexBook® 2.0 lessons, or learn Algebra your way by using the Related Modalities that are most effective for you!

Subject:
Algebra
Material Type:
Assessment
Homework/Assignment
Interactive
Textbook
Provider:
CK–12
Author:
ck12.org
Date Added:
03/01/2022
College Algebra
Read the Fine Print
Rating
0.0 stars

This course covers relations and functions, specifically, linear, polynomial, exponential, logarithmic, and rational functions. Additionally, sections on conics, systems of equations and matrices and sequences are also available.

Subject:
Algebra
Material Type:
Full Course
Textbook
Provider:
Lumen Learning
Provider Set:
Candela Courseware
Author:
Carl Stitz
Jeff Zeager
Date Added:
03/31/2016