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PreCalculus by Jay Abramson



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PreCalculus by Jay Abramson , Arizona State University. Precalculus is adaptable and designed to fit the needs of a variety of precalculus courses. It is a comprehensive text that covers more ground than a typical one- or two-semester college-level precalculus course. The content is organized by clearly-defined learning objectives and includes worked examples that demonstrate problem-solving approaches in an accessible way.

PreCalculus by Jay Abramson cover the following topics.

  • 1. Functions
    1.1 Functions and Function Notation
    1.2 Domain and Range
    1.3 Rates of Change and Behavior of Graphs
    1.4 Composition of Functions
    1.5 Transformation of Functions
    1.6 Absolute Value Functions
    1.7 Inverse Functions
    Chapter 1 Review
    Chapter 1 Review Exercises
    Chapter 1 Practice Test

  • 2. Linear Functions
    2.1 Linear Functions
    2.2 Graphs of Linear Functions
    2.3 Modeling with Linear Functions
    2.4 Fitting Linear Models to Data
    Chapter 2 Review
    Chapter 2 Review Exercises
    Chapter 2 Practice Test

  • 3. Polynomial and Rational Functions
    3.1 Complex Numbers
    3.2 Quadratic Functions
    3.3 Power Functions and Polynomial Functions
    3.4 Graphs of Polynomial Functions
    3.5 Dividing Polynomials
    3.6 Zeros of Polynomial Functions
    3.7 Rational Functions
    3.8 Inverses and Radical Functions
    3.9 Modeling Using Variation
    Chapter 3 Review
    Chapter 3 Review Exercises
    Chapter 3 Practice Test

  • 4. Exponential and Logarithmic Functions
    4.1 Exponential Functions
    4.2 Graphs of Exponential Functions
    4.3 Logarithmic Functions
    4.4 Graphs of Logarithmic Functions
    4.5 Logarithmic Properties
    4.6 Exponential and Logarithmic Equations
    4.7 Exponential and Logarithmic Models
    4.8 Fitting Exponential Models to Data
    Chapter 4 Review
    Chapter 4 Review Exercises
    Chapter 4 Practice Test

  • 5. Trigonometric Functions
    5.1 Angles
    5.2 Unit Circle: Sine and Cosine Functions
    5.3 The Other Trigonometric Functions
    5.4 Right Triangle Trigonometry
    Chapter 5 Review
    Chapter 5 Review Exercises
    Chapter 5 Practice Test

  • 6. Periodic Functions
    6.1 Graphs of the Sine and Cosine Functions
    6.2 Graphs of the Other Trigonometric Functions
    6.3 Inverse Trigonometric Functions
    Chapter 6 Review
    Chapter 6 Review Exercises
    Chapter 6 Practice Test

  • 7. Trigonometric Identities and Equations
    7.1 Solving Trigonometric Equations with Identities
    7.2 Sum and Difference Identities
    7.3 Double-Angle, Half-Angle, and Reduction Formulas
    7.4 Sum-to-Product and Product-to-Sum Formulas
    7.5 Solving Trigonometric Equations
    7.6 Modeling with Trigonometric Equations
    Chapter 7 Review
    Chapter 7 Review Exercises
    Chapter 7 Practice Test

  • 8. Further Applications of Trigonometry
    8.1 Non-right Triangles: Law of Sines
    8.2 Non-right Triangles: Law of Cosines
    8.3 Polar Coordinates
    8.4 Polar Coordinates: Graphs
    8.5 Polar Form of Complex Numbers
    8.6 Parametric Equations
    8.7 Parametric Equations: Graphs
    8.8 Vectors
    Chapter 8 Review
    Chapter 8 Review Exercises
    Chapter 8 Practice Test

  • 9. Systems of Equations and Inequalities
    9.1 Systems of Linear Equations: Two Variables
    9.2 Systems of Linear Equations: Three Variables
    9.3 Systems of Nonlinear Equations and Inequalities: Two Variables
    9.4 Partial Fractions
    9.5 Matrices and Matrix Operations
    9.6 Solving Systems with Gaussian Elimination
    9.7 Solving Systems with Inverses
    9.8 Solving Systems with Cramer's Rule
    Chapter 9 Review
    Chapter 9 Review Exercises
    Chapter 9 Practice Test

  • 10. Analytic Geometry
    10.1 The Ellipse
    10.2 The Hyperbola
    10.3 The Parabola
    10.4 Rotation of Axis
    10.5 Conic Sections in Polar Coordinates
    Chapter 10 Review
    Chapter 10 Review Exercises
    Chapter 10 Practice Test

  • 11. Sequences, Probability and Counting Theory
    11.1 Sequences and Their Notations
    11.2 Arithmetic Sequences
    11.3 Geometric Sequences
    11.4 Series and Their Notations
    11.5 Counting Principles
    11.6 Binomial Theorem
    11.7 Probability
    Chapter 11 Review
    Chapter 11 Review Exercises
    Chapter 11 Practice Test

  • 12. Introduction to Calculus
    12.1 Finding Limits: Numerical and Graphical Approaches
    12.2 Finding Limits: Properties of Limits
    12.3 Continuity
    12.4 Derivatives
    Chapter 12 Review
    Chapter 12 Review Exercises
    Chapter 12 Practice Test

  • Appendix a - 1
    Try It Answer Section B-1
    Odd Answer Section C-1
    Index d - 1

  • Start Now
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