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Precalculus, Global Edition

Autor Robert F. Blitzer
en Limba Engleză Paperback – 26 iun 2023
For courses in Precalculus.
"Your world is profoundly mathematical." Robert F. Blitzer continues to support and inspire students with his engaging approach, making this a series that is beloved year after year by students and instructors alike. Blitzer's unique background in mathematics and behavioral science informs a wide range of applications, drawn from pop culture and up-to-date references, that appeal to students of all majors and connect math to students' everyday lives.
Blitzer's updated MyLabTM Math course aims to help bring underprepared students up to speed, including those in corequisite courses. Integrated Review and an expanded suite of materials support corequisite courses, regardless of course format or structure. New, gradable GeoGebra Graphing Exercises create a more dynamic graphing environment, encouraging more of a paper-pencil experience, while the expanded selection of Interactive Figures helps students visualize mathematical concepts.
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Specificații

ISBN-13: 9781292730967
ISBN-10: 129273096X
Pagini: 1365
Dimensiuni: 216 x 276 x 54 mm
Greutate: 2.88 kg
Ediția:7. Auflage
Editura: Pearson

Cuprins

P. Prerequisites: Fundamental Concepts of Algebra
  • P.1 Algebraic Expressions, Mathematical Models, and Real Numbers
  • P.2 Exponents and Scientific Notation
  • P.3 Radicals and Rational Exponents
  • P.4 Polynomials
  • P.5 Factoring Polynomials
  • P.6 Rational Expressions
  • P.7 Equations
  • P.8 Modeling with Equations
  • P.9 Linear Inequalities and Absolute Value Inequalities
  • Summary, Review, and Test
  • Review Exercises
  • Chapter P Test
1. Functions and Graphs
  • 1.1 Graphs and Graphing Utilities
  • 1.2 Basics of Functions and Their Graphs
  • 1.3 More on Functions and Their Graphs
  • 1.4 Linear Functions and Slope
  • 1.5 More on Slope
  • 1.6 Transformations of Functions
  • 1.7 Combinations of Functions; Composite Functions
  • 1.8 Inverse Functions
  • 1.9 Distance and Midpoint Formulas; Circles
  • 1.10 Modeling with Functions
  • Summary, Review, and Test
  • Review Exercises
  • Chapter 1 Test
2. Polynomial and Rational Functions
  • 2.1 Complex Numbers
  • 2.2 Quadratic Functions
  • 2.3 Polynomial Functions and Their Graphs
  • 2.4 Dividing Polynomials; Remainder and Factor Theorems
  • 2.5 Zeros of Polynomial Functions
  • 2.6 Rational Functions and Their Graphs
  • 2.7 Polynomial and Rational Inequalities
  • 2.8 Modeling Using Variation
  • Summary, Review, and Test
  • Review Exercises
  • Chapter 2 Test
  • Cumulative Review Exercises (Chapters P2)
3. Exponential and Logarithmic Functions
  • 3.1 Exponential Functions
  • 3.2 Logarithmic Functions
  • 3.3 Properties of Logarithms
  • 3.4 Exponential and Logarithmic Equations
  • 3.5 Exponential Growth and Decay; Modeling Data
  • Summary, Review, and Test
  • Review Exercises
  • Chapter 3 Test
  • Cumulative Review Exercises (Chapters P3)
4. Trigonometric Functions
  • 4.1 Angles and Radian 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 of Trigonometric Functions
  • Summary, Review, and Test
  • Review Exercises
  • Chapter 4 Test
  • Cumulative Review Exercises (Chapters P4)
5. Analytic Trigonometry
  • 5.1 Verifying Trigonometric Identities
  • 5.2 Sum and Difference Formulas
  • 5.3 Double-Angle, Power-Reducing, and Half-Angle Formulas
  • 5.4 Product-to-Sum and Sum-to-Product Formulas
  • 5.5 Trigonometric Equations
  • Summary, Review, and Test
  • Review Exercises
  • Chapter 5 Test
  • Cumulative Review Exercises (Chapters P5)
6. Additional Topics in Trigonometry
  • 6.1 The Law of Sines
  • 6.2 The Law of Cosines
  • 6.3 Polar Coordinates
  • 6.4 Graphs of Polar Equations
  • 6.5 Complex Numbers in Polar Form; DeMoivre's Theorem
  • 6.6 Vectors
  • 6.7 The Dot Product
  • Summary, Review, and Test
  • Review Exercises
  • Chapter 6 Test
  • Cumulative Review Exercises (Chapters P6)
7. Systems of Equations and Inequalities
  • 7.1 Systems of Linear Equations in Two Variables
  • 7.2 Systems of Linear Equations in Three Variables
  • 7.3 Partial Fractions
  • 7.4 Systems of Nonlinear Equations in Two Variables
  • 7.5 Systems of Inequalities
  • 7.6 Linear Programming
  • Summary, Review, and Test
  • Review Exercises
  • Chapter 7 Test
  • Cumulative Review Exercises (Chapters P7)
8. Matrices and Determinants
  • 8.1 Matrix Solutions to Linear Systems
  • 8.2 Inconsistent and Dependent Systems and Their Applications
  • 8.3 Matrix Operations and Their Applications
  • 8.4 Multiplicative Inverses of Matrices and Matrix Equations
  • 8.5 Determinants and Cramer's Rule
  • Summary, Review, and Test
  • Review Exercises
  • Chapter 8 Test
  • Cumulative Review Exercises (Chapters P8)
9. Conic Sections and Analytic Geometry
  • 9.1 The Ellipse
  • 9.2 The Hyperbola
  • 9.3 The Parabola
  • 9.4 Rotation of Axes
  • 9.5 Parametric Equations
  • 9.6 Conic Sections in Polar Coordinates
  • Summary, Review, and Test
  • Review Exercises
  • Chapter 9 Test
  • Cumulative Review Exercises (Chapters P9)
10. Sequences, Induction, and Probability
  • 10.1 Sequences and Summation Notation
  • 10.2 Arithmetic Sequences
  • 10.3 Geometric Sequences and Series
  • 10.4 Mathematical Induction
  • 10.5 The Binomial Theorem
  • 10.6 Counting Principles, Permutations, and Combinations
  • 10.7 Probability
  • Summary, Review, and Test
  • Review Exercises
  • Chapter 10 Test
  • Cumulative Review Exercises (Chapters P10)
11. Introduction to Calculus
  • 11.1 Finding Limits Using Tables and Graphs
  • 11.2 Finding Limits Using Properties of Limits
  • 11.3 Limits and Continuity
  • 11.4 Introduction to Derivatives
  • Summary, Review, and Test
  • Review Exercises
  • Chapter 11 Test
  • Cumulative Review Exercises (Chapters P11)
  • Appendix A: Where Did That Come From? Selected Proofs
  • Appendix B: The Transition from Precalculus to Calculus
  • Answers to Selected Exercises
  • Subject Index
  • Credits