Precalculus

Real Mathematics, Real People

Inbunden, Engelska, 2015

Av Ron Larson, The Behrend College) Larson, Ron (The Pennsylvania State University

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Ideal for courses that require the use of a graphing calculator, PRECALCULUS: REAL MATHEMATICS, REAL PEOPLE, 7th Edition, features quality exercises, interesting applications, and innovative resources to help you succeed. True to the book's focus on student support, selected examples include notations directing you to previous sections where you can review concepts and skills needed to master the material at hand. The book's careful writing and detailed solutions that begin and end on the same page, make it accessible and easy-to-read. Side-by-side solutions show algebraic, graphical, and numerical representations of the mathematics and support a variety of learning styles, and examples throughout feature real-life scenarios show you the relevance of mathematics in your life and future career.

Produktinformation

Utgivningsdatum2015-01-01
Mått223 x 40 x 276 mm
Vikt2 086 g
FormatInbunden
SpråkEngelska
Antal sidor904
Upplaga7
FörlagCengage Learning
ISBN9781305071704

Tillhör följande kategorier

Funktionslära inom Naturvetenskap och teknik
Matematik inom Naturvetenskap och teknik

Dr. Ron Larson is a professor of mathematics at the Pennsylvania State University, where he has taught since 1970. He is considered the pioneer of using multimedia to enhance the learning of mathematics, having authored more than 30 software titles since 1990. Dr. Larson has also authored numerous acclaimed textbooks, including the best-selling calculus series coauthored with Dr. Bruce Edwards and published by Cengage. Dr. Larson received the 2017 William Holmes McGuffey Longevity Award for PRECALCULUS and for CALCULUS. He also received the 2018 Text and Academic Authors Association TEXTY Award for CALCULUS: EARLY TRANSCENDENTAL FUNCTIONS. In addition, Dr. Larson received the 1996 Text and Academic Authors Association TEXTY Award for INTERACTIVE CALCULUS -- a complete text on CD-ROM that was the first mainstream college textbook to be offered on the internet.

1. FUNCTIONS AND THEIR GRAPHS. Introduction to Library of Functions. 1.1 Lines in the Plane. 1.2 Functions. 1.3 Graphs of Functions. 1.4 Shifting, Reflecting, and Stretching Graphs. 1.5 Combinations of Functions. 1.6 Inverse Functions. 1.7 Linear Models and Scatter Plots. Chapter Summary. Review Exercises. Chapter Test. Proofs in Mathematics. 2. POLYNOMIAL AND RATIONAL FUNCTIONS. 2.1 Quadratic Functions. 2.2 Polynomial Functions of Higher Degree. 2.3 Real Zeros of Polynomial Functions. 2.4 Complex Numbers. 2.6 Rational Functions and Asymptotes. 2.7 Graphs of Rational Functions. 2.8 Quadratic Models. Chapter Summary. Review Exercises. Chapter Test. Proofs in Mathematics. Progressive Summary (Chapters 1 and 2). 3. EXPONENTIAL AND LOGARITHMIC FUNCTIONS. 3.1 Exponential Functions and Their Graphs. 3.2 Logarithmic Functions and Their Graphs. 3.3 Properties of Logarithms. 3.4 Solving Exponential and Logarithmic Equations. 3.5 Exponential and Logarithmic Models. 3.6 Nonlinear Models. Chapter Summary. Review Exercises. Chapter Test. Cumulative Test: Chapters 1-3. Proofs in Mathematics. Progressive Summary (Chapters 1-3). 4. TRIGONOMETRIC FUNCTIONS. 4.1 Radian and Degree Measure. 4.2 Trigonometric Functions: The Unit Circle. 4.3 Right Triangle Trigonometry. 4.4 Trigonometric Functions of Any Angle. 4.5 Graphs of Sine and Cosine Functions. 4.6 Graphs of Other Trigonometric Functions. 4.7 Inverse Trigonometric Functions. 4.8 Applications and Models. Chapter Summary. Review Exercises. Chapter Test. Library of Parent Functions Review. Proofs in Mathematics. 5. ANALYTIC TRIGONOMETRY. 5.1 Using Fundamental Identities. 5.2 Verifying Trigonometric Identities. 5.3 Solving Trigonometric Equations. 5.4 Sum and Difference Formulas. 5.5 Multiple-Angle and Product-to-Sum Formulas. Chapter Summary. Review Exercises. Chapter Test. Proofs in Mathematics. 6. ADDITIONAL TOPICS IN TRIGONOMETRY. 6.1 Law of Sines. 6.2 Law of Cosines. 6.3 Vectors in the Plane. 6.4 Vectors and Dot Products. 6.5 Trigonometric Form of a Complex Number. Chapter Summary. Review Exercises. Chapter Test. Cumulative Test: Chapters 4-6. Proofs in Mathematics. Progressive Summary (Chapters 1-6). 7. LINEAR SYSTEMS AND MATRICES. 7.1 Solving Systems of Equations. 7.2 Systems of Linear Equations in Two Variables. 7.3 Multivariable Linear Systems. 7.4 Matrices and Systems of Equations. 7.5 Operations with Matrices. 7.6 The Inverse of a Square Matrix. 7.7 The Determinant of a Square Matrix. 7.8 Applications of Matrices and Determinants. Chapter Summary. Review Exercises. Chapter Test. Proofs in Mathematics. 8. SEQUENCES, SERIES, AND PROBABILITY. 8.1 Sequences and Series. 8.2 Arithmetic Sequences and Partial Sums. 8.3 Geometric Sequences and Series. 8.4 The Binomial Theorem. 8.5 Counting Principles. 8.6 Probability. Chapter Summary. Review Exercises. Chapter Test. Proofs in Mathematics. 9. TOPICS IN ANALYTIC GEOMETRY. 9.1 Conics: Circles and Parabolas. 9.2 Ellipses. 9.3 Hyperbolas and Rotation of Conics. 9.4 Parametric Equations. 9.5 Polar Coordinates. 9.6 Graphs of Polar Equations. 9.7 Polar Equations of Conics. Chapter Summary. Review Exercises. Chapter Test. Cumulative Test: Chapters 7-9.Proofs in Mathematics. Progressive Summary (Chapters 3-9).10. ANALYTIC GEOMETRY IN THREE DIMENSIONS.10.1 The Three-Dimensional Coordinate System. 10.2 Vectors in Space. 10.3 The Cross Product of Two Vectors. 10.4 Lines and Planes in Space. Chapter Summary. Review Exercises. Chapter Test. Proofs in Mathematics. Appendix A: Technology Support Guide. Appendix B: Review of Graphs, Equations, and Inequalities (WEB only). B.1 The Cartesian Plane. B.2 Graphs of Equations. B.3 Solving Equations Algebraically and Graphically. B.4 Solving Inequalities Algebraically and Graphically. B.5 Representing Data Graphically. Appendix C: Concepts in Statistics (WEB only). C.1 Measures of Central Tendency and Dispersion. C.2 Least Squares Regression. Appendix D: Variation (WEB only). Append