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College Algebra, 4th edition

Published by Pearson (January 24, 2018) © 2019

  • Kirk Trigsted University of Idaho

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For courses in College Algebra.

Completely clickable eText with a consistent author voice

Recognizing that students start with homework instead of reading the text, Kirk Trigsted created an online learning environment that blends exposition, videos, interactive animations, tutorials and assessment, designed for the way students think and behave online. Part of the Trigsted Precalculus Series, College Algebra, 4th Edition is created from the ground up within MyLab Math. All exercises, feedback and content are written by the author himself, ensuring a consistent, reassuring author presence throughout and effectively fostering student interaction with course materials.

Features of MyLab Math for the 4th Edition

  • Author-scripted Guided Visualizations help students visualize the concepts through directed explorations and purposeful manipulation. They are integrated into the eText and can be assigned in MyLab Math to encourage active learning, critical thinking and conceptual understanding.
  • Video Assessment questions are assignable MyLab Math exercises tied to key video topics, designed to check students' understanding of the important math concepts covered in the video.
  • Enhanced Sample Assignments by Kirk Trigsted make course set-up easier by giving instructors a starting point for each chapter. Handpicked by the author to align with the text, each assignment includes a mix of question types (such as conceptual, skills, etc.) specific to that topic.
  • Skill Builder offers adaptive practice that is designed to increase students' ability to complete their assignments. By monitoring student performance on their homework, Skill Builder adapts to each student's needs and provides just-in-time, in-assignment practice.
  • Drag and Drop Exercises allow students to drag items containing math expressions, words, graphs or images from a starting bin into designated target areas. Students are asked to perform a higher level of decision making in their answers.

BRIEF TABLE OF CONTENTS


Review Chapter

  1. Equations, Inequalities, and Applications
  2. The Rectangular Coordinate System, Lines, and Circles
  3. Functions
  4. Polynomial and Rational Functions
  5. Exponential and Logarithmic Functions and Equations
  6. Conic Sections and Parametric Equations
  7. Systems of Equations and Inequalities
  8. Matrices
  9. Sequences and Series; Counting and Probability
  • Appendix: Conic Section Proofs

COMPREHENSIVE TABLE OF CONTENTS


  • Review Chapter
    • R.1 Real Numbers
    • R.2 The Order of Operations and Algebraic Expressions
    • R.3 The Laws of Exponents; Radicals
    • R.4 Polynomials
    • R.5 Operations with Radicals (New Section)
    • R.6 Factoring Polynomials
    • R.7 Rational Expressions
  1. Equations, Inequalities, and Applications
    • 1.1 Linear and Rational Equations
    • 1.2 Applications of Linear Equations and Rational Equation
    • 1.3 Complex Numbers
    • 1.4 Quadratic Equations
    • 1.5 Applications of Quadratic Equations
    • 1.6 Other Types of Equations
    • 1.7 Linear Inequalities in One Variable
    • 1.8 Absolute Value Equations and Inequalities
    • 1.9 Polynomial and Rational Inequalities
  2. The Rectangular Coordinate System, Lines, and Circles
    • 2.1 The Rectangular Coordinate System
    • 2.2 Circles
    • 2.3 Lines
    • 2.4 Parallel and Perpendicular Lines
  3. Functions
    • 3.1 Relations and Functions
    • 3.2 Properties of a Function’s Graph
    • 3.3 Graphs of Basic Functions; Piecewise Functions
    • 3.4 Transformations of Functions
    • 3.5 The Algebra of Functions; Composite Functions
    • 3.6 One-to-One Functions; Inverse Functions
  4. Polynomial and Rational Functions
    • 4.1 Quadratic Functions
    • 4.2 Applications and Modeling of Quadratic Functions
    • 4.3 The Graphs of Polynomial Functions
    • 4.4 Synthetic Division; The Remainder and Factor Theorems
    • 4.5 The Zeros of Polynomial Functions; The Fundamental Theorem of Algebra
    • 4.6 Rational Functions and Their Graphs
    • 4.7 Variation
  5. Exponential and Logarithmic Functions and Equations
    • 5.1 Exponential Functions
    • 5.2 Logarithmic Functions
    • 5.3 Properties of Logarithms
    • 5.4 Exponential and Logarithmic Equations
    • 5.5 Applications of Exponential and Logarithmic Functions
  6. Conic Sections and Parametric Equations
    • 6.1 Introduction to Conic Sections
    • 6.2 The Parabola
    • 6.3 The Ellipse
    • 6.4 The Hyperbola
  7. Systems of Equations and Inequalities
    • 7.1 Solving Systems of Linear Equations in Two Variables
    • 7.2 Solving Systems of Linear Equations in Three Variables Using the Elimination Method
    • 7.3 Solving Systems of Linear Equations in Three Variables Using Gaussian Elimination and Gauss-Jordan Elimination
    • 7.4 Partial Fraction Decomposition
    • 7.5 Systems of Nonlinear Equations
    • 7.6 Systems of Inequalities
  8. Matrices
    • 8.1 Matrix Operations
    • 8.2 Inverses of Matrices and Matrix Equations
    • 8.3 Determinants and Cramer’s Rule
  9. Sequences and Series; Counting and Probability
    • 9.1 Introduction to Sequences and Series
    • 9.2 Arithmetic Sequences and Series
    • 9.3 Geometric Sequences and Series
    • 9.4 The Binomial Theorem
    • 9.5 Mathematical Induction
    • 9.6 The Theory of Counting
    • 9.7 An Introduction to Probability
  • Appendix: Conic Section Proofs

About our author

Kirk Trigsted teaches Precalculus at the University of Idaho, with 2000 students each year in a combined classroom and laboratory setting. He has been Director of the Polya Mathematics Center at the University of Idaho since its inception in 2001. Kirk has served as a consultant and redesign scholar for various projects through the National Center for Academic Transformation (NCAT). He is the lead author of an interactive, completely clickable series built from the ground up within MyLab Math. The series offers content spanning from Basic Math to Precalculus and Trigonometry.

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