Ratti and McWaters have combined years of lecture notes and firsthand experience with students to bring you a text series that teaches at the same level and in the style that you do. An extensive array of exercises and learning aids further complements your instruction in class and during office hours.
Auflage
Sprache
Verlagsort
Zielgruppe
Für höhere Schule und Studium
Maße
Höhe: 276 mm
Breite: 216 mm
Dicke: 32 mm
Gewicht
ISBN-13
978-1-292-02477-6 (9781292024776)
Copyright in bibliographic data and cover images is held by Nielsen Book Services Limited or by the publishers or by their respective licensors: all rights reserved.
Schweitzer Klassifikation
P. Basic Concepts of Algebra
P.1. The Real Numbers and Their Properties
P.2. Integer Exponents and Scientific Notation
P.3. Polynomials
P.4. Factoring Polynomials
P.5. Rational Expressions
P.6. Rational Exponents and Radicals
P.7. Topics in Geometry
Chapter P. Summary
Chapter P. Review Exercises
Chapter P. Practice Test
1. Equations and Inequalities
1.1. Linear Equations in One Variable
1.2. Applications of Linear Equations
1.3. Complex Numbers
1.4. Quadratic Equations
1.5. Solving Other Types of Equations
1.6. Linear Inequalities
1.7. Equations and Inequalities Involving Absolute Value
Chapter 1. Summary
Chapter 1. Review Exercises
Chapter 1. Practice Test A
Chapter 1. Practice Test B
2. Graphs and Functions
2.1. The Coordinate Plane
2.2. Graphs of Equations
2.3. Lines
2.4. Relations and Functions
2.5. Properties of Functions
2.6. A Library of Functions
2.7. Transformations of Functions
2.8. Combining Functions; Composite Functions
2.9. Inverse Functions
Chapter 2. Summary
Chapter 2. Review Exercises
Chapter 2. Practice Test A
Chapter 2. Practice Test B
Cumulative Review Chapters. P-2
3. Polynomial and Rational Functions
3.1. Quadratic Functions
3.2. Polynomial Functions
3.3. Dividing Polynomials
3.4. The Real Zeros of a Polynomial Function
3.5. The Complex Zeros of a Polynomial Function
3.6. Rational Functions
3.7. Polynomial and Rational Inequalities
3.8. Variation
Chapter 3 Summary
Chapter 3 Review Exercises
Chapter 3 Practice Test A
Chapter 3 Practice Test B
Cumulative Review Chapters P-3
4. Exponential and Logarithmic Functions
4.1. Exponential Functions
4.2. The Natural Exponential Function
4.3. Logarithmic Functions
4.4. Rules of Logarithms
4.5. Exponential and Logarithmic Equations
Chapter 4 Summary
Chapter 4 Review Exercises
Chapter 4 Practice Test A
Chapter 4 Practice Test B
Cumulative Review Chapters P-4
5. Trigonometric Functions Angles and Their Measure
5.1 Right Triangle Trigonometry
5.2 Trigonometric Functions of Any Angle; Unit Circle
5.3 Graphs of the Sine and Cosine Functions
5.4 Graphs of the Other Trigonometric Functions
5.5 Inverse Trigonometric Functions
Chapter 5 Summary
Chapter 5 Review Exercises
Chapter 5 Practice Test A
Chapter 5 Chapter Test B
Cumulative Review Chapters P-5
6. Trigonometric Identities
6.1 Verifying Identities
6.2 Sum and Difference Identities
6.3 Double-Angle and Half-Angle Identities
6.4 Product-to-Sum and Sum-to-Product Identities
6.5 Trigonometric Equations I
6.6 Trigonometric Equations II
Chapter 6 Summary
Chapter 6 Review Exercises
Chapter 6 Practice Test A
Chapter 6 Practice Test B
Cumulative Review Chapters P-6
7. Applications of Trigonometric Functions
7.1 The Law of Sines
7.2 The Law of Sines: Ambiguous Case
7.3 The Law of Cosines
7.4 Area of a Triangle
7.5 Vectors
7.6 The Dot Product
7.7 Polar Coordinates
7.8 Polar Form of Complex Numbers; DeMoivre's Theorem
Chapter 7 Summary
Chapter 7 Review Exercises
Chapter 7 Practice Test A
Chapter 7 Practice Test B
Cumulative Review Chapters P-7
8. Systems of Equations and Inequalities
8.1 Systems of Linear Equations in Two Variables
8.2 Systems of Linear Equations in Three Variables
8.3 Systems of Nonlinear Equations
8.4 Systems of Inequalities
8.5 Linear Programming
8.6 Partial-Fraction Decomposition
Chapter 8 Summary
Chapter 8 Review Exercises
Chapter 8 Practice Test A
Chapter 8 Practice Test B
Cumulative Review Chapters P-8
9. Matrices and Determinants
9.1 Matrices and Systems of Equations
9.2 Matrix Algebra
9.3 The Matrix Inverse
9.4 Determinants and Cramer's Rule
Chapter 9 Summary
Chapter 9 Review Exercises
Chapter 9 Practice Test A
Chapter 9 Practice Test B
Cumulative Review Chapters P-9
10. Conic Sections
10.1 Conic Sections: Overview
10.2 The Parabola
10.3 The Ellipse
10.4 The Hyperbola
Chapter 10 Summary
Chapter 10 Review Exercises
Chapter 10 Practice Test A
Chapter 10 Practice Test B
Cumulative Review Chapters P-10
Answers to Selected Exercises
Credits
Index of Applications
Index
