Precalculus 2nd Edition by Julie Miller, Donna Gerken ISBN 1260260453 9781260260458

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ISBN 10: 1260260453
ISBN 13:  9781260260458
Author: Julie Miller, Donna Gerken

Julie Miller and Donna Gerken wrote their developmental math series because students were coming into their courses underprepared. They weren’t mathematically mature enough to understand the concepts of math nor were they fully engaged with the material. Does not include access code.

Precalculus 2nd Table of contents:

1. Chapter 1: Functions and Their Graphs

   • 1.1 Introduction to Functions
   • 1.2 Domain and Range
   • 1.3 Function Notation
   • 1.4 Types of Functions: Linear, Quadratic, Polynomial
   • 1.5 Graphing Functions
   • 1.6 Transformations of Functions
   • 1.7 Combinations of Functions: Addition, Subtraction, and Composition
   • 1.8 Inverse Functions

2. Chapter 2: Linear and Piecewise Functions

   • 2.1 Linear Functions and Their Graphs
   • 2.2 Slope of a Line
   • 2.3 Equations of Lines: Slope-Intercept Form
   • 2.4 Parallel and Perpendicular Lines
   • 2.5 Piecewise Functions
   • 2.6 Absolute Value Functions
   • 2.7 Applications of Linear Functions

3. Chapter 3: Polynomial and Rational Functions

   • 3.1 Polynomial Functions and Their Graphs
   • 3.2 Polynomial Long Division and Synthetic Division
   • 3.3 Zeros of Polynomial Functions
   • 3.4 Rational Functions and Their Graphs
   • 3.5 Asymptotes of Rational Functions
   • 3.6 Applications of Polynomial and Rational Functions

4. Chapter 4: Exponential and Logarithmic Functions

   • 4.1 Exponential Functions
   • 4.2 Logarithmic Functions
   • 4.3 Properties of Logarithms
   • 4.4 Solving Exponential and Logarithmic Equations
   • 4.5 Applications of Exponentials and Logarithms
   • 4.6 Natural Logarithms and the Base e

5. Chapter 5: Trigonometric Functions

   • 5.1 Angles and Their Measurement (Degrees and Radians)
   • 5.2 The Unit Circle
   • 5.3 Defining the Six Trigonometric Functions
   • 5.4 Graphs of Sine, Cosine, and Tangent Functions
   • 5.5 Trigonometric Identities: Pythagorean Identities
   • 5.6 Inverse Trigonometric Functions
   • 5.7 Applications of Trigonometry

6. Chapter 6: Trigonometric Identities and Equations

   • 6.1 Fundamental Trigonometric Identities
   • 6.2 Sum and Difference Formulas
   • 6.3 Double Angle and Half Angle Formulas
   • 6.4 Solving Trigonometric Equations
   • 6.5 Verifying Trigonometric Identities
   • 6.6 Applications of Trigonometric Identities

7. Chapter 7: Analytic Trigonometry

   • 7.1 Law of Sines
   • 7.2 Law of Cosines
   • 7.3 Applications of the Laws of Sines and Cosines
   • 7.4 Solving Triangles
   • 7.5 Trigonometric Form of Complex Numbers
   • 7.6 Polar Coordinates and Graphs

8. Chapter 8: Systems of Equations and Inequalities

   • 8.1 Solving Systems of Linear Equations
   • 8.2 Substitution and Elimination Methods
   • 8.3 Matrix Methods for Solving Systems
   • 8.4 Nonlinear Systems of Equations
   • 8.5 Systems of Inequalities
   • 8.6 Linear Programming

9. Chapter 9: Sequences, Series, and Probability

   • 9.1 Arithmetic Sequences and Series
   • 9.2 Geometric Sequences and Series
   • 9.3 The Binomial Theorem
   • 9.4 Probability: Basic Principles
   • 9.5 Permutations and Combinations

10. Chapter 10: Analytic Geometry

    • 10.1 The Conic Sections: Parabolas, Circles, Ellipses, and Hyperbolas
    • 10.2 Equations of Conic Sections
    • 10.3 Graphing Conic Sections
    • 10.4 Applications of Conic Sections
    • 10.5 Polar Equations and Graphs

11. Chapter 11: Limits and Introduction to Calculus

    • 11.1 The Concept of a Limit
    • 11.2 Limits at Infinity
    • 11.3 Continuity and Discontinuity
    • 11.4 The Derivative: A Preview
    • 11.5 Introduction to the Slope of a Curve
    • 11.6 Applications of Limits

12. Chapter 12: Review and Practice Tests

    • 12.1 Review of Key Concepts
    • 12.2 Practice Problems for Each Chapter
    • 12.3 Final Practice Exam

13. Appendices

    • A: Mathematical Formulas
    • B: Trigonometric Values for Special Angles
    • C: Graphing Calculators and How to Use Them
    • D: Additional Practice Problems

14. References

15. Index

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