Calculus: Early Transcendentals 9th Edition by James Stewart, Daniel K. Clegg, Saleem Watson – Ebook PDF Instant Download/Delivery: 1337613924, 978-1337613927
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Product details:
ISBN 10: 1337613924
ISBN 13: 978-1337613927
Author: James Stewart, Daniel K. Clegg, Saleem Watson
Calculus Early Transcendentals 9th Table of contents:
1. Functions and Models
1.1. Four Ways to Represent a Function
1.2. Mathematical Models: A Catalog of Essential Functions
1.3. New Functions from Old Functions
1.4. Exponential Functions
1.5. Inverse Functions and Logarithms
2. Limits and Derivatives
2.1. The Tangent and Velocity Problems
2.2. The Limit of a Function
2.3. Calculating Limits Using the Limit Laws
2.3. Exercises
2.4. The Precise Definition of a Limit
2.5. Continuity
2.6. Limits at Infinity; Horizontal Asymptotes
2.7. Derivatives and Rates of Change
Writing Project. Early Methods for Finding Tangents
2.8. The Derivative as a Function
3. Differentiation Rules
3.1. Derivatives of Polynomials and Exponential Functions
3.2. The Product and Quotient Rules
3.3. Derivatives of Trigonometric Functions
3.4. The Chain Rule
3.5. Implicit Differentiation
3.6. Derivatives of Logarithmic and Inverse Trigonometric Functions
3.7. Rates of Change in the Natural and Social Sciences
3.8. Exponential Growth and Decay
3.9. Related Rates
3.10. Linear Approximations and Differentials
3.11. Hyperbolic Functions
4. Applications of Differentiation
4.1. Maximum and Minimum Values
4.2. The Mean Value Theorem
4.3. What Derivatives Tell Us about the Shape of a Graph
4.4. Indeterminate Forms and l’Hospital’s Rule
4.5 . Summary of Curve Sketching
4.6. Graphing with Calculus and Technology
4.7. Optimization Problems
4.8. Newton’s Method
4.8. Exercises
4.9. Antiderivatives
5. Integrals
5.1. The Area and Distance Problems
5.2. The Definite Integral
5.3. The Fundamental Theorem of Calculus
5.4. Indefinite Integrals and the Net Change Theorem
5.5. The Substitution Rule
6. Applications of Integration
6.2. Volumes
6.3. Volumes by Cylindrical Shells
6.4. Work
6.5. Average Value of a Function
7. Techniques of Integration
7.1. Integration by Parts
7.2. Trigonometric Integrals
7.3. Trigonometric Substitution
7.4. Integration of Rational Functions by Partial Fractions
7.5. Strategy for Integration
7.6. Using Tables and Technology
7.7. Approximate Integration
7.8. Improper Integrals
8. Further Applications of Integration
8.1. Arc Length
8.2. Area of a Surface of Revolution
8.3. Applications to Physics and Engineering
8.4. Applications to Economics and Biology
8.5. Probability
9. Differential Equations
9.1. Modeling with Differential Equations
9.2. Direction Fields and Euler’s Method
9.3. Separable Equations
9.4. Models for Population Growth
9.5. Linear Equations
9.6. Predator-Prey Systems
10. Parametric Equations and Polar Coordinates
10.1. Curves Defined by Parametric Equations
10.2. Calculus with Parametric Curves
10.3. Polar Coordinates
10.4. Calculus in Polar Coordinates
10.5. Conic Sections
10.6. Conic Sections in Polar Coordinates
11. Sequences, Series, and Power Series
11.1. Sequences
11.2. Series
11.3. The Integral Test and Estimates of Sums
11.4. The Comparison Tests
11.5. Alternating Series and Absolute Convergence
11.6. The Ratio and Root Tests
11.7. Strategy for Testing Series
11.8. Power Series
11.9. Representations of Functions as Power Series
11.10. Taylor and Maclaurin Series
11.11. Applications of Taylor Polynomials
12. Vectors and the Geometry of Space
12.1. Three-Dimensional Coordinate Systems
12.2. Vectors
12.3. The Dot Product
12.4. The Cross Product
12.5. Equations of Lines and Planes
12.6. Cylinders and Quadric Surfaces
13. Vector Functions
13.1. Vector Functions and Space Curves
13.2. Derivatives and Integrals of Vector Functions
13.3. Arc Length and Curvature
13.4. Motion in Space: Velocity and Acceleration
13.4. Exercises
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