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Algebra and trigonometry 2e

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    Author: Abramson, Jay P.
    Contributor: BCcampus
    Date:
    Created
    2021
    Summary:

    "Algebra and Trigonometry 2e provides a comprehensive exploration of mathematical principles and meets scope and sequence requirements for a typical introductory algebra and trigonometry course. The modular approach and the richness of content ensure that the book addresses the needs of a variety of courses. Algebra and Trigonometry 2e 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."--BCcampus website

    Contents:
    • Preface
    • Chapter 1. Prerequisites
    • Introduction to prerequisites
    • 1.1. Real numbers: algebra essentials
    • 1.2. Exponents and scientific notation
    • 1.3. Radicals and rational exponents
    • 1.4. Polynomials
    • 1.5. Factoring polynomials
    • 1.6. Rational expressions
    • Chapter review
    • Exercises
    • Chapter 2. Equations and inequalities
    • Introduction to 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 review
    • Exercises
    • Chapter 3. Functions
    • Introduction to 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 review
    • Exercises
    • Chapter 4. Linear functions
    • Introduction to linear functions
    • 4.1. Linear functions
    • 4.2. Modeling with linear functions
    • 4.3. Fitting linear models to data
    • Chapter review
    • Exercises
    • Chapter 5. Polynomial and rational functions
    • Introduction to 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 review
    • Exercises
    • Chapter 6. Exponential and logarithmic functions
    • Introduction to 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 review
    • Exercises
    • Chapter 7. The unit circle: sine and cosine functions
    • Introduction to the unit circle: sine and cosine functions
    • 7.1. Angles
    • 7.2. Right triangle trigonometry
    • 7.3. Unit circle
    • 7.4. The other trigonometric functions
    • Chapter review
    • Exercises
    • Chapter 8. Periodic functions
    • Introduction to periodic functions
    • 8.1 Graphs of the sine and cosine functions
    • 8.2 Graphs of the other trigonometric functions
    • 8.3 Inverse trigonometric functions
    • Chapter review
    • Exercises
    • Chapter 9. Trigonometric identities and equations
    • Introduction to trigonometric identities and equations
    • 9.1 Verifying trigonometric identities and using trigonometric identities to simplify trigonometric expressions
    • 9.2 Sum and difference identities
    • 9.3 Double-angle, half-angle, and reduction formulas
    • 9.4 Sum-to-product and product-to-sum formulas
    • 9.5 Solving trigonometric equations
    • Chapter review
    • Exercises
    • Chapter 10. Further applications of trigonometry
    • Introduction to further applications of trigonometry
    • 10.1 Non-right triangles: law of sines
    • 10.2 Non-right triangles: law of cosines
    • 10.3 Polar coordinates
    • 10.4 Polar coordinates: graphs
    • 10.5 Polar form of complex numbers
    • 10.6 Parametric equations
    • 10.7 Parametric equations: graphs
    • 10.8 Vectors
    • Chapter review
    • Exercises
    • Chapter 11. Systems of equations and inequalities
    • Introduction to systems of equations and inequalities
    • 11.1 Systems of linear equations: two variables
    • 11.2 Systems of linear equations: three variables
    • 11.3 Systems of nonlinear equations and inequalities: two variables
    • 11.4 Partial fractions
    • 11.5 Matrices and matrix operations
    • 11.6 Solving systems with Gaussian elimination
    • 11.7 Solving systems with inverses
    • 11.8 Solving systems with Cramer's rule
    • Chapter review
    • Exercises
    • Chapter 12. Analytic geometry
    • Introduction to analytic geometry
    • 12.1 The ellipse
    • 12.2 The hyperbola
    • 12.3 The parabola
    • 12.4 Rotation of axes
    • 12.5 Conic sections in polar coordinates
    • Chapter review
    • Exercises
    • Chapter 13. Sequences, probability, and counting theory
    • Introduction to sequences, probability, and counting theory
    • 13.1 Sequences and their notations
    • 13.2 Arithmetic sequences
    • 13.3 Geometric sequences
    • 13.4 Series and their notations
    • 13.5 Counting principles
    • 13.6 Binomial theorem
    • 13.7 Probability
    • Chapter review
    • Exercises
    • Appendix A. Proofs, identities, and toolkit functions
    • Answer key
    • Index.
    Subject(s): Algebra | Mathematics | Textbooks | Trigonometry
    Original Publisher: Houston, Texas, OpenStax
    Language(s): English
    ISBN: 9781951693404
    Collection(s)/Series: BC Open Textbooks