Ebook: College Algebra: From Basic to Advanced Lavel
- Year: 2021
- Publisher: Arizona State University
- Language: English
- pdf
About College Algebra
College Algebra provides a comprehensive exploration of algebraic principles and meets scope and sequence requirements for a typical introductory algebra course. The modular approach and richness of content ensure that the book meets the needs of a variety of courses. College Algebra offe s a wealth of examples with detailed, conceptual explanations, building a strong foundation in the material before asking students to apply what they’ve learned.
Coverage and Scope In determining the concepts, skills, and topics to cover, we engaged dozens of highly experienced instructors with a range of student audiences. The resulting scope and sequence proceeds logically while allowing for a significant amount of flexibility in instruction.
Chapters 1 and 2 provide both a review and foundation for study of Functions that begins in Chapter 3. The authors
recognize that while some institutions may find this material a prerequisite, other institutions have told us that they have
a cohort that need the prerequisite skills built into the course.
Chapter 1: Prerequisites
Chapter 2: Equations and Inequalities
Chapters 3-6: The Algebraic Functions
Chapter 3: Functions
Chapter 4: Linear Functions
Chapter 5: Polynomial and Rational Functions
Chapter 6: Exponential and Logarithm Functions
Chapters 7-9: Further Study in College Algebra
Chapter 7: Systems of Equations and Inequalities
Chapter 8: Analytic Geometry
Chapter 9: Sequences, Probability and Counting Theory
All chapters are broken down into multiple sections, the titles of which can be viewed in the Table of Contents.
Development Overview
College Algebra is the product of a collaborative eff rt by a group of dedicated authors, editors, and instructors whose collective passion for this project has resulted in a text that is remarkably unifi d in purpose and voice. Special thanks is due to our Lead Author, Jay Abramson of Arizona State University, who provided the overall vision for the book and oversaw
the development of each and every chapter, drawing up the initial blueprint, reading numerous drafts, and assimilating
fi ld reviews into actionable revision plans for our authors and editors.
The collective experience of our author team allowed us to pinpoint the subtopics, exceptions, and individual connections
that give students the most trouble. The textbook is therefore replete with well-designed features and highlights, which
help students overcome these barriers. As the students read and practice, they are coached in methods of thinking through
problems and internalizing mathematical processes.
Accuracy of the Content
We understand that precision and accuracy are imperatives in mathematics, and undertook a dedicated accuracy program
led by experienced faculty.
1. Each chapter’s manuscript underwent rounds of review and revision by a panel of active instructors.
2. Then, prior to publication, a separate team of experts checked all text, examples, and graphics for mathematical
accuracy; multiple reviewers were assigned to each chapter to minimize the chances of any error escaping notice.
3. A third team of experts was responsible for the accuracy of the Answer Key, dutifully re-working every solution to
eradicate any lingering errors. Finally, the editorial team conducted a multi-round post-production review to ensure
the integrity of the content in its final form.
College Algebra provides a comprehensive exploration of algebraic principles and meets scope and sequence requirements for a typical introductory algebra course. The modular approach and richness of content ensure that the book meets the needs of a variety of courses. College Algebra offe s a wealth of examples with detailed, conceptual explanations, building a strong foundation in the material before asking students to apply what they’ve learned.
Coverage and Scope In determining the concepts, skills, and topics to cover, we engaged dozens of highly experienced instructors with a range of student audiences. The resulting scope and sequence proceeds logically while allowing for a significant amount of flexibility in instruction.
Chapters 1 and 2 provide both a review and foundation for study of Functions that begins in Chapter 3. The authors
recognize that while some institutions may find this material a prerequisite, other institutions have told us that they have
a cohort that need the prerequisite skills built into the course.
Chapter 1: Prerequisites
Chapter 2: Equations and Inequalities
Chapters 3-6: The Algebraic Functions
Chapter 3: Functions
Chapter 4: Linear Functions
Chapter 5: Polynomial and Rational Functions
Chapter 6: Exponential and Logarithm Functions
Chapters 7-9: Further Study in College Algebra
Chapter 7: Systems of Equations and Inequalities
Chapter 8: Analytic Geometry
Chapter 9: Sequences, Probability and Counting Theory
All chapters are broken down into multiple sections, the titles of which can be viewed in the Table of Contents.
Development Overview
College Algebra is the product of a collaborative eff rt by a group of dedicated authors, editors, and instructors whose collective passion for this project has resulted in a text that is remarkably unifi d in purpose and voice. Special thanks is due to our Lead Author, Jay Abramson of Arizona State University, who provided the overall vision for the book and oversaw
the development of each and every chapter, drawing up the initial blueprint, reading numerous drafts, and assimilating
fi ld reviews into actionable revision plans for our authors and editors.
The collective experience of our author team allowed us to pinpoint the subtopics, exceptions, and individual connections
that give students the most trouble. The textbook is therefore replete with well-designed features and highlights, which
help students overcome these barriers. As the students read and practice, they are coached in methods of thinking through
problems and internalizing mathematical processes.
Accuracy of the Content
We understand that precision and accuracy are imperatives in mathematics, and undertook a dedicated accuracy program
led by experienced faculty.
1. Each chapter’s manuscript underwent rounds of review and revision by a panel of active instructors.
2. Then, prior to publication, a separate team of experts checked all text, examples, and graphics for mathematical
accuracy; multiple reviewers were assigned to each chapter to minimize the chances of any error escaping notice.
3. A third team of experts was responsible for the accuracy of the Answer Key, dutifully re-working every solution to
eradicate any lingering errors. Finally, the editorial team conducted a multi-round post-production review to ensure
the integrity of the content in its final form.
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