Textbooks by Katherine and Bruce Yoshiwara

Professors of Mathematics, Los Angeles Pierce College, Retired
e-mail:  kyoshiwara (at) hotmail.com
             byoshiwara (at) hotmail.com

Textbooks Available Through AIM

We are pleased to offer four textbooks in free open source formats, through the auspices of the American Institute of Mathematics Open Textbook Initiative.   (You can see their list of approved open source textbooks.)

Modeling, Functions, and Graphs

This text covers the content of a college algebra course with an emphasis on modeling and applications. When combined with Trigonometry, it can be used in a Precalculus course.

To go directly to the online text, click on this link. There you can see the expanded table of contents and read more about the text in the Preface.

To download the full pdf version of the text, click on this pdf download link.

Table of Contents

1. Functions and Their Graphs
   
2. Modeling with Functions
   
3. Power Functions
   
4. Exponential Functions
   
5. Logarithmic Functions
   
6. Quadratic Functions
   
7. Polynomials and Rational Functions
8. Linear Systems
   
9. Sequences and Series
10. Appendices
1. Algebra Skills Refresher
2. Using a Graphing Calculator
3. Using a GeoGebra Calculator App
4. Glossary
5. Properties of Numbers
6. Geometry Formulas
7. Answers to Selected Exercises
   

• Includes embedded WeBWorK problems for students to test their understanding and receive immediate feedback.
• An Activities Workbook for this text is available at lulu.com.  The booklet contains guided classroom activities for each section of the text.
• An Algebra Toolkit, available online, can help the students refresh their prerequisite skills. Each section of the Toolkit is aligned to the corresponding section in the text, and addresses the algebra skills used in that particular section. The Toolkit section includes one or two examples of each skill and several exercises (with answers) for students to try.
  
• A computer homework system is available at xyzhomework.com.
• A computer homework system is also available at edfinity.com
  
• A printed version is available at Lulu: Modeling, Functions, and Graphs

Trigonometry

This text covers the content of a standard trigonometry course, beginning with a review of facts from geometry.

To go directly to the online text, click on this link. There you can see the expanded table of contents and read more about the text in the Preface.

To download the full pdf version of the text, click on this pdf download link.

Table of Contents

1. Triangles and Circles
   
2. Trigonometric Ratios
   
3. Laws of Sines and Cosines
   
4. Trigonometric Functions
   
5. Equations and Identities
   
6. Radians
   
7. Circular Functions
8. More Functions and Identities
   
9. Vectors
10. Polar Coordinates and Complex Numbers
    

• This Trigonometry text can be useful to students in a variety of programs. Students familiar with triangle trig may be able to skip all or part of Chapters 1 through 3. Students preparing for technical courses may not need the material after Chapter 6 or 7. Chapters 9 and 10 are treated in some trigonometry courses but are often reserved for precalculus.
  
• Coming soon: A computer homework system at xyzhomework.com
• A printed versions is available at Lulu: Trigonometry
  

Elementary Algebra

This text introduces the basic skills and ideas of algebra.

To go directly to the online text, click on this link. There you can see the expanded table of contents and read more about the text in the Preface.

To download the full pdf version of the text, click on this pdf download link.

Table of Contents

1. Variables
   
2. Linear Equations
   
3. Graphs and Linear Equations
   
4. Applications of Linear Equations
   
5. Exponents and Roots
   
6. Quadratic Equations
   
7. Polynomials
   
8. Algebraic Fractions
   
9. More About Exponents and Roots
   

• A print version of this textbook is available at xyztextbooks.com.
• Each section of the book includes an Activities Lesson that can be used in the classroom.
  
• A print version of the Lessons is available as an Activities Workbook at xyztextbooks.com.
• A computer homework system is available at xyzhomework.com.

Intermediate Algebra

Like Modeling, Functions, and Graphs, this text emphasizes modeling and applications, but focuses more on algebraic skills and less on functions.

To go directly to the online text, click on this link. There you can see the expanded table of contents and read more about the text in the Preface.

To download the full pdf version of the text, click on this pdf download link.

Table of Contents

1. Linear Models
2. Applications of Linear Models
3. Quadratic Models
4. Applications of Quadratic Models
5. Functions and Their Graphs
6. Powers and Roots
7. Exponential Functions
8. Polynomials and Rational Functions
9. Equations and Graphs
10. Logarithmic Functions

• Includes embedded WeBWorK problems for students to test their understanding and receive immediate feedback.
• An Activities Workbook for this text is available at lulu.com.  The booklet contains guided classroom activities for each section of the text.
• An Algebra Toolkit, available online, can help the students refresh their prerequisite skills. Each section of the Toolkit is aligned to the corresponding section in the text, and addresses the algebra skills used in that particular section. The Toolkit section includes one or two examples of each skill and several exercises (with answers) for students to try.
  
• A computer homework system is available at xyzhomework.com.

Textbooks Available Through Pat McKeague's xyztextbooks

• Elementary Algebra, A Modeling Approach
  

  Table of Contents

  1. Variables and Equations
  2. Linear Equations
  3. Graphs of Linear Equations
  4. Applications of Linear Equations
  5. Exponents and Roots
  6. Quadratic Equations
  7. Polynomials
  8. Algebraic Fractions
  9. More About Exponents and Roots
     
  
  There is an Activities Workbook to accompany this text, and an Instructor's Manual.
  
  
• Intermediate Algebra, A Modeling Approach
  

  Table of Contents

  1. Linear Models
  2. Applications of Linear Models
  3. Quadratic Models
  4. Applications of Quadratic Models
  5. Functions and Their Graphs
  6. Powers and Roots
  7. Exponential Functions
  8. Polynomials and Rational Functions
  9. Equations and Graphs
     
     
  There is an Activities Workbook to accompany this text, and an Instructor's Manual.
  
  
• Essential Algebra:  Elementary and Intermediate Algebra Combined  (2 volumes)
  
  This text was written for an accelerated community college course. Students earned credit for both Elementary and Intermediate Algebra.
  

  Table of Contents

  1. Variables and Equations
  2. Linear Equations
  3. Linear Models
  4. Applications of Linear Models
     
  5. Quadratic Equations
  6. Quadratic Models
     
  7. Systems and Graphs
  8. Functions
  9. Powers and Roots
  10. Exponential and Logarithmic Functions
  11. Polynomials and Rational Functions
      
      
  There is an Activities Workbook to accompany this text, and an Instructor's Manual.

Textbooks Available at Lulu:

• Core Mathematics for College Students
  

  This text is intended for students who need a refresher of basic mathematical ideas and elementary algebraic skills.

  It can be used in a prealgebra course or a foundation course for non-STEM majors. It is designed as a worktext, and emphasizes understanding of concepts.
  

  Table of Contents

  1. Preliminary Ideas
     Halves and Quarters, Tenths and Hundredths, Whole Numbers, Angles and Triangles, Perimeter and Area
     
  2. Numbers and Variables
     Decimal Numbers, More Fractions and Percents, Variables, Algebraic Expressions, Equations
     
  3. Measurement
     Volume and Surface Area, Exponents, Units of Measure, Circles and Spheres, Large Numbers
     
  4. Calculation
     Adding and Subtracting Fractions, Multiplying and Dividing Fractions, Order of Operations, Roots and Radicals, Negative Numbers
     
  5. Using Variables
     Working with Variables, More Algebraic Expressions, Problem Solving, More Equations, Graphs
     
  6. Signed Numbers
     Addition of Signed Numbers, Subtraction of Signed Numbers, Multiplication and Division of Signed Numbers, Working with Signed Numbers, Equations and Graphs
     
  7. Core Concepts
     Ratio, Proportion, Similarity, Slope, More About Similarity
     

  This book is also available in five modules:  Numbers, Measurement, Fractions, Signed Numbers, and Variables

A Brief Biography

Kathy Yoshiwara was born in Derby in the UK and grew up in Richmond, Virginia. She attended Michigan State University, where she studied Greek and mathematics. She did graduate work at UCLA and earned an MA in mathematics in 1977. She left UCLA in 1979 to join the faculty at Pierce College, where she taught for 33 years, retiring in 2013.   In the 1998-1999 academic year she taught at Barnsley College in Yorkshire, England on a Fulbright teaching Award for Distinguished College or University Teaching of Mathematics from the Southern California Section of the MAA. In November 2003, she won the Teaching Excellence Award for the Western Region from the American Mathematical Association of Two-Year Colleges (AMATYC). She is married to Bruce Yoshiwara and benefits from his expertise in all things mathematical.

Bruce Yoshiwara earned his PhD in mathematics at UCLA in 1988. He received the 2008 Award for Distinguished College or University Teaching of Mathematics from the Southern California-Nevada Section of the MAA, a 2009 Teaching Excellence Award from AMATYC, and a 2011 Hayward Award for Excellence in Education from the Board of Governors of the California Community Colleges. He is co-author (his wife Katherine is principal author) of several math textbooks.