MATH 372: COLLEGE
ALGEBRA (LECTURE
NOTES)
Roy Simpson
Cosumnes River College
,Math 372: College Algebra (Lecture Notes)
Roy Simpson
Cosumnes River College
,This text is disseminated via the Open Education Resource (OER) LibreTexts Project (https://LibreTexts.org) and like the hundreds
of other texts available within this powerful platform, it is freely available for reading, printing and "consuming." Most, but not all,
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consult the applicable license(s) before pursuing such effects.
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technologies to support learning.
The LibreTexts mission is to unite students, faculty and scholars in a cooperative effort to develop an easy-to-use online platform
for the construction, customization, and dissemination of OER content to reduce the burdens of unreasonable textbook costs to our
students and society. The LibreTexts project is a multi-institutional collaborative venture to develop the next generation of open-
access texts to improve postsecondary education at all levels of higher learning by developing an Open Access Resource
environment. The project currently consists of 14 independently operating and interconnected libraries that are constantly being
optimized by students, faculty, and outside experts to supplant conventional paper-based books. These free textbook alternatives are
organized within a central environment that is both vertically (from advance to basic level) and horizontally (across different fields)
integrated.
The LibreTexts libraries are Powered by NICE CXOne and are supported by the Department of Education Open Textbook Pilot
Project, the UC Davis Office of the Provost, the UC Davis Library, the California State University Affordable Learning Solutions
Program, and Merlot. This material is based upon work supported by the National Science Foundation under Grant No. 1246120,
1525057, and 1413739.
Any opinions, findings, and conclusions or recommendations expressed in this material are those of the author(s) and do not
necessarily reflect the views of the National Science Foundation nor the US Department of Education.
Have questions or comments? For information about adoptions or adaptions contact . More information on our
activities can be found via Facebook (https://facebook.com/Libretexts), Twitter (https://twitter.com/libretexts), or our blog
(http://Blog.Libretexts.org).
This text was compiled on 10/01/2024
, TABLE OF CONTENTS
Licensing
Chapter 0: The Language of Mathematics
0.1: Definitions (OPTIONAL)
0.2: Axioms, Theorems, and Proofs (SUGGESTED)
0.3: Operations (OPTIONAL)
0.4: Simplifying (OPTIONAL)
0.5: Theory versus Application (OPTIONAL)
0.6: The Mathematical Mantra (SUGGESTED)
Chapter 1: Relations and Functions (Lecture Notes)
1.1: Sets of Real Numbers and the Cartesian Coordinate Plane (SKIP)
1.2: Relations (SKIP)
1.3: Introduction to Functions (SKIP)
1.4: Function Notation (Lecture Notes)
1.5: Function Arithmetic (Lecture Notes)
1.6: Graphs of Functions (Lecture Notes)
1.7: Transformations (Lecture Notes)
Chapter 2: Linear and Quadratic Functions (Lecture Notes)
2.1: Linear Functions (Lecture Notes)
2.2: Absolute Value Functions (Lecture Notes)
2.3: Quadratic Functions (Lecture Notes)
2.4: Inequalities with Absolute Value and Quadratic Functions (Lecture Notes)
Chapter 3: Polynomial Functions (Lecture Notes)
3.1: Graphs of Polynomials (Lecture Notes)
3.2: The Factor and Remainder Theorems (Lecture Notes)
3.3: Real Zeros of Polynomials (Lecture Notes)
3.4: Complex Zeros and the Fundamental Theorem of Algebra (Lecture Notes)
Chapter 4: Rational Functions (Lecture Notes)
4.1: Introduction to Rational Functions (Lecture Notes)
4.2: Graphs of Rational Functions (Lecture Notes)
4.3: Rational Inequalities and Applications (Lecture Notes)
Chapter 5: Further Topics in Functions (Lecture Notes)
5.1: Function Composition (Lecture Notes)
5.2: Inverse Functions (Lecture Notes)
5.3: Other Algebraic Functions (Lecture Notes)
5.4: Algebraic Simplifications Necessary for Calculus (Lecture Notes)
1 https://math.libretexts.org/@go/page/162592
ALGEBRA (LECTURE
NOTES)
Roy Simpson
Cosumnes River College
,Math 372: College Algebra (Lecture Notes)
Roy Simpson
Cosumnes River College
,This text is disseminated via the Open Education Resource (OER) LibreTexts Project (https://LibreTexts.org) and like the hundreds
of other texts available within this powerful platform, it is freely available for reading, printing and "consuming." Most, but not all,
pages in the library have licenses that may allow individuals to make changes, save, and print this book. Carefully
consult the applicable license(s) before pursuing such effects.
Instructors can adopt existing LibreTexts texts or Remix them to quickly build course-specific resources to meet the needs of their
students. Unlike traditional textbooks, LibreTexts’ web based origins allow powerful integration of advanced features and new
technologies to support learning.
The LibreTexts mission is to unite students, faculty and scholars in a cooperative effort to develop an easy-to-use online platform
for the construction, customization, and dissemination of OER content to reduce the burdens of unreasonable textbook costs to our
students and society. The LibreTexts project is a multi-institutional collaborative venture to develop the next generation of open-
access texts to improve postsecondary education at all levels of higher learning by developing an Open Access Resource
environment. The project currently consists of 14 independently operating and interconnected libraries that are constantly being
optimized by students, faculty, and outside experts to supplant conventional paper-based books. These free textbook alternatives are
organized within a central environment that is both vertically (from advance to basic level) and horizontally (across different fields)
integrated.
The LibreTexts libraries are Powered by NICE CXOne and are supported by the Department of Education Open Textbook Pilot
Project, the UC Davis Office of the Provost, the UC Davis Library, the California State University Affordable Learning Solutions
Program, and Merlot. This material is based upon work supported by the National Science Foundation under Grant No. 1246120,
1525057, and 1413739.
Any opinions, findings, and conclusions or recommendations expressed in this material are those of the author(s) and do not
necessarily reflect the views of the National Science Foundation nor the US Department of Education.
Have questions or comments? For information about adoptions or adaptions contact . More information on our
activities can be found via Facebook (https://facebook.com/Libretexts), Twitter (https://twitter.com/libretexts), or our blog
(http://Blog.Libretexts.org).
This text was compiled on 10/01/2024
, TABLE OF CONTENTS
Licensing
Chapter 0: The Language of Mathematics
0.1: Definitions (OPTIONAL)
0.2: Axioms, Theorems, and Proofs (SUGGESTED)
0.3: Operations (OPTIONAL)
0.4: Simplifying (OPTIONAL)
0.5: Theory versus Application (OPTIONAL)
0.6: The Mathematical Mantra (SUGGESTED)
Chapter 1: Relations and Functions (Lecture Notes)
1.1: Sets of Real Numbers and the Cartesian Coordinate Plane (SKIP)
1.2: Relations (SKIP)
1.3: Introduction to Functions (SKIP)
1.4: Function Notation (Lecture Notes)
1.5: Function Arithmetic (Lecture Notes)
1.6: Graphs of Functions (Lecture Notes)
1.7: Transformations (Lecture Notes)
Chapter 2: Linear and Quadratic Functions (Lecture Notes)
2.1: Linear Functions (Lecture Notes)
2.2: Absolute Value Functions (Lecture Notes)
2.3: Quadratic Functions (Lecture Notes)
2.4: Inequalities with Absolute Value and Quadratic Functions (Lecture Notes)
Chapter 3: Polynomial Functions (Lecture Notes)
3.1: Graphs of Polynomials (Lecture Notes)
3.2: The Factor and Remainder Theorems (Lecture Notes)
3.3: Real Zeros of Polynomials (Lecture Notes)
3.4: Complex Zeros and the Fundamental Theorem of Algebra (Lecture Notes)
Chapter 4: Rational Functions (Lecture Notes)
4.1: Introduction to Rational Functions (Lecture Notes)
4.2: Graphs of Rational Functions (Lecture Notes)
4.3: Rational Inequalities and Applications (Lecture Notes)
Chapter 5: Further Topics in Functions (Lecture Notes)
5.1: Function Composition (Lecture Notes)
5.2: Inverse Functions (Lecture Notes)
5.3: Other Algebraic Functions (Lecture Notes)
5.4: Algebraic Simplifications Necessary for Calculus (Lecture Notes)
1 https://math.libretexts.org/@go/page/162592
