Precalculus: Mathematics for Calculus 7th Edition By James Stewart

Precalculus: Mathematics for Calculus 7th Edition By James Stewart | ISBN-13 978-1305071759

Precalculus: Mathematics for Calculus, 7th Edition is designed to provide students with a strong foundation in mathematical thinking, essential for success in calculus and beyond. With its clear and straightforward writing style, this textbook ensures that students grasp the core concepts of precalculus, while reinforcing problem-solving skills and mathematical modeling throughout.

This comprehensive textbook covers a wide range of topics, including the function concept, trigonometric functions, vectors, conic sections, and limits. The inclusion of graphing calculator materials enhances students’ understanding of mathematical ideas and helps develop their analytical skills. Additionally, online resources are available to provide further practice and help improve course performance.

Whether you are preparing for calculus or seeking to strengthen your mathematical foundation, Precalculus: Mathematics for Calculus offers the tools and resources needed to achieve your academic goals.
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Key Features:

• Clear Writing Style: The text is designed to be accessible and easy to understand, helping students build a solid foundation in mathematical principles.
• Comprehensive Coverage: Covers all essential precalculus topics, from algebraic fundamentals to an introduction to calculus.
• Problem Solving and Modeling: Reinforces these crucial skills throughout the text, with a focus on practical applications of mathematical concepts.
• Graphing Calculator Integration: Provides substantial material on using graphing calculators to enhance comprehension and problem-solving abilities.
• Online Resources: Offers additional practice and support, ensuring students have the tools they need to succeed in the course.

Table of Contents:

Preface To the Student Prologue: Principles of Problem Solving

1. Fundamentals 1.1 Real Numbers 1.2 Exponents and Radicals 1.3 Algebraic Expressions 1.4 Rational Expressions 1.5 Equations 1.6 Complex Numbers 1.7 Modeling with Equations 1.8 Inequalities 1.9 The Coordinate Plane; Graphs of Equations; Circles 1.10 Lines 1.11 Solving Equations and Inequalities Graphically 1.12 Modeling Variation

• Chapter 1 Review
• Chapter 1 Test
• FOCUS ON MODELING: Fitting Lines to Data

2. Functions 2.1 Functions 2.2 Graphs of Functions 2.3 Getting Information from the Graph of a Function 2.4 Average Rate of Change of a Function 2.5 Linear Functions and Models 2.6 Transformations of Functions 2.7 Combining Functions 2.8 One-to-One Functions and Their Inverses

• Chapter 2 Review
• Chapter 2 Test
• FOCUS ON MODELING: Modeling with Functions

3. Polynomial and Rational Functions 3.1 Quadratic Functions and Models 3.2 Polynomial Functions and Their Graphs 3.3 Dividing Polynomials 3.4 Real Zeros of Polynomials 3.5 Complex Zeros and the Fundamental Theorem of Algebra 3.6 Rational Functions 3.7 Polynomial and Rational Inequalities

• Chapter 3 Review
• Chapter 3 Test
• FOCUS ON MODELING: Fitting Polynomial Curves to Data

4. Exponential and Logarithmic Functions 4.1 Exponential Functions 4.2 The Natural Exponential Function 4.3 Logarithmic Functions 4.4 Laws of Logarithms 4.5 Exponential and Logarithmic Equations 4.6 Modeling with Exponential Functions 4.7 Logarithmic Scales

• Chapter 4 Review
• Chapter 4 Test
• FOCUS ON MODELING: Fitting Exponential and Power Curves to Data

5. Trigonometric Functions: Unit Circle Approach 5.1 The Unit Circle 5.2 Trigonometric Functions of Real Numbers 5.3 Trigonometric Graphs 5.4 More Trigonometric Graphs 5.5 Inverse Trigonometric Functions and Their Graphs 5.6 Modeling Harmonic Motion

• Chapter 5 Review
• Chapter 5 Test
• FOCUS ON MODELING: Fitting Sinusoidal Curves to Data

6. Trigonometric Functions: Right Triangle Approach 6.1 Angle Measure 6.2 Trigonometry of Right Triangles 6.3 Trigonometric Functions of Angles 6.4 Inverse Trigonometric Functions and Triangles 6.5 The Law of Sines 6.6 The Law of Cosines

• Chapter 6 Review
• Chapter 6 Test
• FOCUS ON MODELING: Surveying

7. Analytic Trigonometry 7.1 Trigonometric Identities 7.2 Addition and Subtraction Formulas 7.3 Double-Angle, Half-Angle, and Sum-Product Formulas 7.4 Basic Trigonometric Equations 7.5 More Trigonometric Equations

• Chapter 7 Review
• Chapter 7 Test
• FOCUS ON MODELING: Traveling and Standing Waves

8. Polar Coordinates and Parametric Equations 8.1 Polar Coordinates 8.2 Graphs of Polar Equations 8.3 Polar Form of Complex Numbers; DeMoivre’s Theorem 8.4 Plane Curves and Parametric Equations

• Chapter 8 Review
• Chapter 8 Test
• FOCUS ON MODELING: The Path of a Projectile

9. Vectors in Two and Three Dimensions 9.1 Vectors in Two Dimensions 9.2 The Dot Product 9.3 Three-Dimensional Coordinate Geometry 9.4 Vectors in Three Dimensions 9.5 The Cross Product 9.6 Equations of Lines and Planes

• Chapter 9 Review
• Chapter 9 Test
• FOCUS ON MODELING: Vector Fields

10. Systems of Equations and Inequalities 10.1 Systems of Linear Equations in Two Variables 10.2 Systems of Linear Equations in Several Variables 10.3 Matrices and Systems of Linear Equations 10.4 The Algebra of Matrices 10.5 Inverses of Matrices and Matrix Equations 10.6 Determinants and Cramer’s Rule 10.7 Partial Fractions 10.8 Systems of Non-Linear Equations 10.9 Systems of Inequalities

• Chapter 10 Review
• Chapter 10 Test
• FOCUS ON MODELING: Linear Programming

11. Conic Sections 11.1 Parabolas 11.2 Ellipses 11.3 Hyperbolas 11.4 Shifted Conics 11.5 Rotation of Axes 11.6 Polar Equations of Conics

• Chapter 11 Review
• Chapter 11 Test
• FOCUS ON MODELING: Conics in Architecture

12. Sequences and Series 12.1 Sequences and Summation Notation 12.2 Arithmetic Sequences 12.3 Geometric Sequences 12.4 Mathematics of Finance 12.5 Mathematical Induction 12.6 The Binomial Theorem

• Chapter 12 Review
• Chapter 12 Test
• FOCUS ON MODELING: Modeling with Recursive Sequences

13. Limits: A Preview of Calculus 13.1 Finding Limits Numerically and Graphically 13.2 Finding Limits Algebraically 13.3 Tangent Lines and Derivatives 13.4 Limits at Infinity: Limits of Sequences

• Chapter 13 Review
• Chapter 13 Test
• FOCUS ON MODELING: Interpretations of Area

Appendices:

• Appendix A: Geometry Review
• Appendix B: Calculations and Significant Figures (available on website)
• Appendix C: Graphing with a Graphing Calculator (available on website)
• Appendix D: Using the TI-83/84 Graphing Calculator (available on website)