| Description |
1 online resource (1506 pages) : illustrations (some colour) |
| 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 |
| 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 |
| Notes |
Includes index |
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This work is licensed under the Creative Commons Attribution 4.0 International license (CC BY 4.0) |
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This bibliographic record is available under the Creative Commons CC0 "No Rights Reserved" license |
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Description based on online resource; title from pdf title page (viewed on March 14, 2024) |
| Subject |
Mathematics -- Textbooks
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Algebra -- Textbooks
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Trigonometry -- Textbooks
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Algebra
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Mathematics
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| Genre/Form |
Textbooks
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| Form |
Electronic book
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| Author |
BCcampus, distributor.
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| ISBN |
9781951693404 |
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195169340X |
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