Precalculus – Mathematics for Calculus 8th Edition by James Stewart – Ebook PDF Instant Download/DeliveryISBN: 9798214350851
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ISBN-13 : 9798214350851
Author: James Stewart
Prepare your students for future success in calculus with Stewart/Redlin/Watson’s best-selling PRECALCULUS: MATHEMATICS FOR CALCULUS, 8th Edition. This acclaimed author team explains concepts simply and clearly, overcoming learning barriers without avoiding difficult points. This updated edition introduces both problem solving and mathematical modeling early and emphasizes these principles throughout. Practical applications and reinforcement provide your students with a solid foundation in the principles behind mathematical thinking. Comprehensive and evenly paced, this latest edition provides complete coverage of the function concept and integrates a significant amount of graphing technology to help students develop insights into mathematical ideas. New remedial support further prepares students as the authors provide an exceptional level of detail and clarity that makes this title a market leader.
Precalculus – Mathematics for Calculus 8th Table of contents:
Chapter 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
Chapter 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
Chapter 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
Chapter 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
Chapter 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
Chapter 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 Right Triangles
6.5. The Law of Sines
6.6. The Law of Cosines
Chapter 6. Review
Chapter 6. Test
Focus on Modeling. Surveying
Chapter 7. Analytic Trigonometry
7.1. Trigonometric Identities
7.2. Addition and Subtraction Formulas
7.3. Double-Angle, Half-Angle, and Product-Sum Formulas
7.4. Basic Trigonometric Equations
7.5. More Trigonometric Equations
Chapter 7. Review
Chapter 7. Test
Focus on Modeling. Traveling and Standing Waves
Chapter 8. Polar Coordinates, Parametric Equations, Vectors
8.1. Polar Coordinates
8.2. Graphs of Polar Equations
8.3. Polar Form of Complex Numbers; De Moivre’s Theorem
8.4. Plane Curves and Parametric Equations
8.5. Vectors
8.6. The Dot Product
Chapter 8 Review
Chapter 8 Test
Focus on Modeling. The Path of a Projectile
Chapter 9. Systems of Equations and Inequalities
9.1. Systems of Linear Equations in Two Variables
9.2. Systems of Linear Equations in Several Variables
9.3. Matrices and Systems of Linear Equations
9.4. The Algebra of Matrices
9.5. Inverses of Matrices and Matrix Equations
9.6. Determinants and Cramer’s Rule
9.7. Partial Fractions
9.8. Systems of Nonlinear Equations
9.9. Systems of Inequalities
Chapter 9. Review
Chapter 9. Test
Focus on Modeling Linear Programming
Chapter 10. Conic Sections
10.1. Parabolas
10.2. Ellipses
10.3. Hyperbolas
10.4. Shifted Conics
10.5. Rotation of Axes
10.6. Polar Equations of Conics
Chapter 10. Review
Chapter 4 Test
Focus on Modeling. Conics in Architecture
Chapter 11. Sequences And Series
11.1. Sequences And Summation Notation
11.2. Arithmetic Sequences
11.3. Geometric Sequences
11.4. Mathematical Induction
11.5. The Binomial Theorem
Chapter 11. Review
Chapter 11. Test
Focus On Modeling. Modeling with Recursive Sequences
Chapter 12. Limits: A Preview of Calculus
12.1. Finding Limits Numerically and Graphically
12.2. Finding Limits Algebraically
12.3. Tangent Lines and Derivatives
12.4. Limits at Infinity; Limits of Sequences
12.5. Areas
Chapter 12. Review
Chapter 12. Test
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