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Elementary Algebra
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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:
11/09/2021
Elementary Algebra
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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
A First Course in Linear Algebra
Read the Fine Print
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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:
04/27/2020
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.

Subject:
Algebra
Mathematics
Material Type:
Textbook
Author:
Gregory Hartman
Date Added:
04/27/2020
Geometric visualization of determinants
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CC BY-SA
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Ana Donevska Todorova Humboldt Universitハt zu Berlin Mathematisch-Naturwissenschaftliche Fakultハt II Institut f゚r Mathematik, Didaktik der Mathematik

Subject:
Algebra
Mathematics
Material Type:
Simulation
Provider:
GeoGebra
Provider Set:
GeoGebraTube
Date Added:
03/12/2012
Intermedia Algebra
Unrestricted Use
CC BY
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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:
04/27/2020
Intermediate Algebra
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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 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:
11/09/2021
Intro to matrix inverses
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We've learned about matrix addition, matrix subtraction, matrix multiplication. So you might be wondering, is there the equivalent of matrix division? And before we get into that, let me introduce some concepts to you. And then we'll see that there is something that maybe isn't exactly division, but it's analogous to it.

Subject:
Algebra
Mathematics
Material Type:
Lesson
Provider:
Khan Academy
Provider Set:
Khan Academy
Author:
Salman Khan
Date Added:
02/28/2018
Is matrix multiplication commutative?
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Sal checks whether the commutative property applies for matrix multiplication. In other words, he checks whether for any two matrices A and B, A*B=B*A (the answer is NO, by the way). Created by Sal Khan.

Subject:
Algebra
Mathematics
Material Type:
Lesson
Provider:
Khan Academy
Provider Set:
Khan Academy
Author:
Salman Khan
Date Added:
02/28/2018
Linear Algebra
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CC BY-NC-SA
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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
Linear Algebra
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CC BY-SA
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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: An Interactive Introduction
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CC BY-SA
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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.

Subject:
Algebra
Mathematics
Material Type:
Full Course
Author:
Anna Davis
Paul Zachlin
The Ximera Project
Date Added:
02/01/2023
Linear Algebra: Another Example of a Projection Matrix
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This 22-minute video lesson shows another example of a projection matrix. It shows how to figure out the transformation matrix for a projection onto a subspace by figuring out the matrix for the projection onto the subspace's orthogonal complement first.

Subject:
Algebra
Mathematics
Material Type:
Lecture
Provider:
Khan Academy
Provider Set:
Khan Academy
Author:
Khan, Salman
Date Added:
02/20/2011
Linear Algebra: (Correction) Scalar Multiplication of Row
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This 3-minute video lesson is a correction of last video showing that the determinant when one row is multiplied by a scalar is equal to the scalar times the determinant.

Subject:
Algebra
Mathematics
Material Type:
Lecture
Provider:
Khan Academy
Provider Set:
Khan Academy
Author:
Khan, Salman
Date Added:
02/20/2011
Linear Algebra Course Content - First Edition, Basic Vector Proficiency, RRN-0030: Planes in R^3
Unrestricted Use
CC BY
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We establish that a plane is determined by a point and a normal vector, and use this information to derive a general equation for planes in R^3.https://ximera.osu.edu/la/LinearAlgebra/RRN-M-0030/main

Subject:
Algebra
Mathematics
Material Type:
Module
Author:
Anna Davis
Date Added:
07/12/2018