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College Algebra by Jay Abramson



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College Algebra by Jay Abramson , Arizona State University. 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 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.

College Algebra by Jay Abramson cover the following topics.

  • 1. Prerequisites
    1.1 Real Numbers: Algebra Essentials
    1.2 Exponents and Scientific Notation
    1.3 Radicals and Rational Expressions
    1.4 Polynomials
    1.5 Factoring Polynomials
    1.6 Rational Expressions
    Chapter 1 Review
    Chapter 1 Review Exercises
    Chapter 1 Practice Test

  • 2. Equations and Inequalities
    2.1 The Rectangular Coordinate Systems and Graphs
    2.2 Linear Equations in One Variable
    2.3 Models and Applications
    2.4 Complex Numbers
    2.5 Quadratic Equations
    2.6 Other Types of Equations
    2.7 Linear Inequalities and Absolute Value Inequalities
    Chapter 2 Review
    Chapter 2 Review Exercises
    Chapter 2 Practice Test

  • 3. Functions
    3.1 Functions and Function Notation
    3.2 Domain and Range
    3.3 Rates of Change and Behavior of Graphs
    3.4 Composition of Functions
    3.5 Transformation of Functions
    3.6 Absolute Value Functions
    3.7 Inverse Functions
    Chapter 3 Review
    Chapter 3 Review Exercises
    Chapter 3 Practice Test

  • 4. Linear Functions
    4.1 Linear Functions
    4.2 Modeling with Linear Functions
    4.3 Fitting Linear Models to Data
    Chapter 4 Review
    Chapter 4 Review Exercises
    Chapter 4 Practice Test

  • 5. Polynomial and Rational Functions
    5.1 Quadratic Functions
    5.2 Power Functions and Polynomial Functions
    5.3 Graphs of Polynomial Functions
    5.4 Dividing Polynomials
    5.5 Zeros of Polynomial Functions
    5.6 Rational Functions
    5.7 Inverses and Radical Functions
    5.8 Modeling Using Variation
    Chapter 5 Review
    Chapter 5 Review Exercises
    Chapter 5 Practice Test

  • 6. Exponential and Logarithmic Functions
    6.1 Exponential Functions
    6.2 Graphs of Exponential Functions
    6.3 Logarithmic Functions
    6.4 Graphs of Logarithmic Functions
    6.5 Logarithmic Properties
    6.6 Exponential and Logarithmic Equations
    6.7 Exponential and Logarithmic Models
    6.8 Fitting Exponential Models to Data
    Chapter 6 Review
    Chapter 6 Review Exercises
    Chapter 6 Practice Test

  • 7. Systems of Equations and Inequalities
    7.1 Systems of Linear Equations: Two Variables
    7.2 Systems of Linear Equations: Three Variables
    7.3 Systems of Nonlinear Equations and Inequalities: Two Variables
    7.4 Partial Fractions
    7.5 Matrices and Matrix Operations
    7.6 Solving Systems with Gaussian Elimination
    7.7 Solving Systems with Inverses
    7.8 Solving Systems with Cramer
    s Rule
    Chapter 7 Review
    Chapter 7 Review Exercises
    Chapter 7 Practice Test

  • 8. Analytic Geometry
    8.1 The Ellipse
    8.2 The Hyperbola
    8.3 The Parabola
    8.4 Rotation of Axis
    8.5 Conic Sections in Polar Coordinates
    Chapter 8 Review
    Chapter 8 Review Exercises
    Chapter 8 Practice Test

  • 9. Sequences, Probability and Counting Theory
    9.1 Sequences and Their Notations
    9.2 Arithmetic Sequences
    9.3 Geometric Sequences
    9.4 Series and Their Notations
    9.5 Counting Principles
    9.6 Binomial Theorem
    9.7 Probability
    Chapter 9 Review
    Chapter 9 Review Exercises
    Chapter 9 Practice Test

  • Try It Answer Section A-1
    Odd Answer Section B-1
    Index C - 1

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