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5.5 Define Theorems and give an example
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CC BY
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College Algebra
A pre-lecture worksheet for students to preview section 5.5 and find the descriptions for the theorems covered in this section. Also having them try an example for each of the theorems.

Subject:
Algebra
Mathematics
Material Type:
Homework/Assignment
Date Added:
04/18/2019
Abstract Algebra: Theory and Applications
Read the Fine Print
Some Rights Reserved
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This text is intended for a one- or two-semester undergraduate course in abstract algebra. Traditionally, these courses have covered the theoretical aspects of groups, rings, and fields. However, with the development of computing in the last several decades, applications that involve abstract algebra and discrete mathematics have become increasingly important, and many science, engineering, and computer science students are now electing to minor in mathematics. Though theory still occupies a central role in the subject of abstract algebra and no student should go through such a course without a good notion of what a proof is, the importance of applications such as coding theory and cryptography has grown significantly.

Subject:
Algebra
Mathematics
Material Type:
Textbook
Provider:
University of Puget Sound
Author:
Thomas Judson
Date Added:
01/01/2016
Adding vectors algebraically & graphically
Unrestricted Use
CC BY
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To add the vectors (x₁,y₁) and (x₂,y₂), we add the corresponding components from each vector: (x₁+x₂,y₁+y₂). Here's a concrete example: the sum of (2,4) and (1,5) is (2+1,4+5), which is (3,9). There's also a nice graphical way to add vectors, and the two ways will always result in the same vector.​​

Subject:
Algebra
Mathematics
Material Type:
Lesson
Provider:
Khan Academy
Provider Set:
Khan Academy
Author:
Salman Khan
Date Added:
02/07/2018
Advanced Alegbra
Conditional Remix & Share Permitted
CC BY-NC-SA
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Intermediate Algebra is the second part of a two-part course in Algebra. 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 of applications found in most disciplines. Used as a standalone textbook, it 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.

Subject:
Algebra
Mathematics
Material Type:
Textbook
Author:
John Redden
Date Added:
11/18/2019
Advanced Algebra v. 1.0
Conditional Remix & Share Permitted
CC BY-NC-SA
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Intermediate Algebra is the second part of a two-part course in Algebra. 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 of applications found in most disciplines. Used as a standalone textbook, it 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 clearly lays out the steps required to build the skills needed to solve a variety of equations and interpret the results. With robust and diverse exercise sets, students have the opportunity to solve plenty of practice problems. In addition to embedded video examples and other online learning resources, the importance of practice with pencil and paper is stressed. This text respects the traditional approaches to algebra pedagogy while enhancing it with the technology available today. In addition, Intermediate Algebra was 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.

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
Author:
John Redden
Date Added:
12/29/2012
Algebra
Unrestricted Use
CC BY
Rating
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This course discusses how to use algebra for a variety of everyday tasks, such as calculate change without specifying how much money is to be spent on a purchase, analyzing relationships by graphing, and describing real-world situations in business, accounting, and science.

Subject:
Algebra
Mathematics
Material Type:
Full Course
Provider:
The Saylor Foundation
Date Added:
08/28/2013
Algebra
Conditional Remix & Share Permitted
CC BY-SA
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In this video, we explore some concepts fundamental to algebra. To streamline the discussion of relationships between physical quantities, we introduce variables, functions, composition, and inverse. By thinking about the concept of an inverse function, we obtain our first glimpse of the imaginary root (i.e. square-root of -1) and the complex plane.

Subject:
Algebra
Mathematics
Material Type:
Lecture Notes
Provider:
Look At Physics
Provider Set:
A Mathematical Way to Think About Biology
Author:
David Liao
Date Added:
10/08/2011
Algebra Introduction to Graphing Lab
Unrestricted Use
Public Domain
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This lab is generally the first lab for this course. It introduces students to desmos.com and helps them become familiar with it.
The lab investigates the visual changes to a line as the slope and y-intercept change.

Subject:
Algebra
Mathematics
Material Type:
Activity/Lab
Author:
Dr. Mary Alice Smeal
Date Added:
06/04/2019
Algebra and Trigonometry 2e
Unrestricted Use
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.

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
Algebra and Trigonometry, 2e, Openstax Textbook
Unrestricted Use
CC BY
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Algebra and Trigonometry 2e provides a comprehensive exploration of mathematical principles and meets scope and sequence requirements for a typical introductory algebra and trigonometry course. The modular approach and the richness of content ensure that the book addresses the needs of a variety of courses. Algebra and Trigonometry 2e 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.Attribution: This work "Algebra and Trigonometry, 2e" by Jay Abramson is licensed under a Creative Commons Attribution 4.0 International License, except where otherwise noted.  

Subject:
Algebra
Education
Mathematics
Trigonometry
Material Type:
Textbook
Author:
Linda Neff
Madilyn Marshall
Maya Lanzetta
Date Added:
05/04/2023
Arithmetic | Algebra
Only Sharing Permitted
CC BY-NC-ND
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Arithmetic | Algebra provides a customized open-source textbook for the math developmental students at New York City College of Technology. The book consists of short chapters, addressing essential concepts necessary to successfully proceed to credit-level math courses. Each chapter provides several solved examples and one unsolved “Exit Problem”. Each chapter is also supplemented by its own WeBWork online homework assignment. The book can be used in conjunction with WeBWork for homework (online) or with the Arithmetic | Algebra Homework handbook (traditional). The content in the book, WeBWork and the homework handbook are also aligned to prepare students for the CUNY Elementary Algebra Final Exam (CEAFE).

Subject:
Algebra
Mathematics
Material Type:
Textbook
Provider:
CUNY Academic Works
Provider Set:
New York City College of Technology
Author:
Holly Carley
Lin Zhou
Marianna Bonanome
Samar ElHitti
Thomas Tradler
Date Added:
01/01/2017
Arithmetic | Algebra Homework
Only Sharing Permitted
CC BY-NC-ND
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Arithmetic | Algebra Homework book is a static version of the WeBWork online homework assignments that accompany the textbook Arithmetic | Algebra for the developmental math courses MAT 0630 and MAT 0650 at New York City College of Technology, CUNY.

Subject:
Algebra
Mathematics
Material Type:
Homework/Assignment
Provider:
CUNY Academic Works
Provider Set:
New York City College of Technology
Author:
Ariane Masouda
Lin Zhou
Samar ElHitti
Date Added:
01/01/2017
Basic Algebra with Applications - 5th Edition
Conditional Remix & Share Permitted
CC BY-SA
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Chapter 1. Concepts
Chapter 2. Linear Equations
Chapter 3. Graphing
Chapter 4. Linear Systems
Chapter 5. Polynomial Equations
Chapter 6. Factoring Polynomials
Chapter 7. Rational Expressions
Chapter 8. Radicals
Chapter 9. Quadratic Equations

Subject:
Algebra
Mathematics
Material Type:
Textbook
Author:
Ivan G. Zaigralin
Date Added:
01/01/2020
Basic Review
Unrestricted Use
CC BY
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Short Description:
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.

Long Description:
This textbook is the first part of three texts that are aligned with the British Columbia Adult Basic Education learning outcomes for Mathematics: Intermediate Level Algebra. The textbook focuses on a review of basic arithmetic 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.

Word Count: 42219

(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:
Algebra
Education
Mathematics
Material Type:
Textbook
Provider:
BCcampus
Author:
Pooja Gupta
Date Added:
05/21/2021
Beginning Algebra
Conditional Remix & Share Permitted
CC BY-NC
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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 Algebra
Unrestricted Use
CC BY
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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
Mathematics
Material Type:
Full Course
Provider:
The Saylor Foundation
Date Added:
04/16/2012
Beginning and Intermediate Algebra
Unrestricted Use
CC BY
Rating
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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
Mathematics
Material Type:
Textbook
Provider:
Big Bend Community College
Author:
Tyler Wallace
Date Added:
01/29/2014
CGI (Computer Generated Imagery) Matrix Multiplication Activity
Conditional Remix & Share Permitted
CC BY-NC-SA
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Many students are motivated by real world applications of mathematics, and most students are familiar with the term CGI from watching movies and playing video games. This particular activity ties matrix multiplication to CGI (Computer Generated Imagery). It has been used successfully with high school students in an Algebra II course who had just learned how to do matrix multiplication, middle school and high school students (some of whom were seeing matrix multiplication for the first time) attending a special Math Day on a university campus, and with College Algebra students (during a unit about matrices).

Subject:
Algebra
Mathematics
Material Type:
Activity/Lab
Provider:
Pittsburg State University
Author:
Cynthia J Huffman Ph D
Date Added:
01/24/2023
CTE Health Sciences: BMI Calculations
Conditional Remix & Share Permitted
CC BY-NC-SA
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This task was developed by high school and postsecondary mathematics and health sciences educators, and validated by content experts in the Common Core State Standards in mathematics and the National Career Clusters Knowledge & Skills Statements. It was developed with the purpose of demonstrating how the Common Core and CTE Knowledge & Skills Statements can be integrated into classroom learning - and to provide classroom teachers with a truly authentic task for either mathematics or CTE courses.

Subject:
Algebra
Applied Science
Health, Medicine and Nursing
Mathematics
Ratios and Proportions
Statistics and Probability
Material Type:
Activity/Lab
Lesson Plan
Provider:
National Association of State Directors of Career Technical Education Consortium
Provider Set:
Career Technical Education
Date Added:
07/27/2012