Calculus Early Transcendental Functions 7th edition by Ron Larson, Bruce Edwards – Ebook PDF Instant Download/Delivery: 1337552518, 978-1337552516
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Product details:
ISBN 10: 1337552518
ISBN 13: 978-1337552516
Author: Ron Larson, Bruce Edwards
For the 7th Edition of CALCULUS: EARLY TRANSCENDENTAL FUNCTIONS, the companion website LarsonCalculus.com offers free access to multiple tools and resources to supplement your learning. Stepped-out solution videos with instruction are available at CalcView.com for selected exercises throughout the text. The website CalcChat.com presents free solutions to odd-numbered exercises in the text. The site currently has over 1 million hits per month, so the authors analyzed these hits to see which exercise solutions you were accessing most often. They revised and refined the exercise sets based on this analysis.
Calculus Early Transcendental Functions 7th Table of contents:
1. Preparation for Calculus
1.1. Graphs and Models
- The Graph of an Equation
- Intercepts of a Graph
- Symmetry of a Graph
- Points of Intersection
- Mathematical Models
- Exercises
1.2. Linear Models and Rates of Change
- The Slope of a Line
- Equations of Lines
- Ratios and Rates of Change
- Graphing Linear Models
- Parallel and Perpendicular Lines
- Exercises
1.3. Functions and Their Graphs
- Functions and Function Notation
- The Domain and Range of a Function
- The Graph of a Function
- Transformations of Functions
- Classifications and Combinations of Functions
- Exercises
1.4. Review of Trigonometric Functions
- Angles and Degree Measure
- Radian Measure
- The Trigonometric Functions
- Evaluating Trigonometric Functions
- Solving Trigonometric Equations
- Graphs of Trigonometric Functions
- Exercises
1.5. Inverse Functions
- Inverse Functions
- Existence of an Inverse Function
- Inverse Trigonometric Functions
- Exercises
1.6. Exponential and Logarithmic Functions
- Exponential Functions
- The Number e
- The Natural Logarithmic Function
- Exercises
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Review Exercises
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P.S. Problem Solving
2. Limits and Their Properties
2.1. A Preview of Calculus
- What Is Calculus?
- The Tangent Line Problem
- The Area Problem
- Exercises
2.2. Finding Limits Graphically and Numerically
- An Introduction to Limits
- Limits That Fail to Exist
- A Formal Definition of Limit
- Exercises
2.3. Evaluating Limits Analytically
- Properties of Limits
- A Strategy for Finding Limits
- Dividing Out Technique
- Rationalizing Technique
- The Squeeze Theorem
- Exercises
2.4. Continuity and One-Sided Limits
- Continuity at a Point and on an Open Interval
- One-Sided Limits and Continuity on a Closed Interval
- Properties of Continuity
- The Intermediate Value Theorem
- Exercises
2.5. Infinite Limits
- Infinite Limits
- Vertical Asymptotes
- Exercises
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Section Project: Graphs and Limits of Trigonometric Functions
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Review Exercises
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P.S. Problem Solving
3. Differentiation
3.1. The Derivative and the Tangent Line Problem
3.2. Basic Differentiation Rules and Rates of Change
3.3. Product and Quotient Rules and Higher-Order Derivatives
3.4. The Chain Rule
3.5. Implicit Differentiation
3.6. Derivatives of Inverse Functions
3.7. Related Rates
3.8. Newton’s Method
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Section Project: Optical Illusions
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Review Exercises
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P.S. Problem Solving
4. Applications of Differentiation
4.1. Extrema on an Interval
4.2. Rolle’s Theorem and the Mean Value Theorem
4.3. Increasing and Decreasing Functions and the First Derivative Test
4.4. Concavity and the Second Derivative Test
4.5. Limits at Infinity
4.6. A Summary of Curve Sketching
4.7. Optimization Problems
4.8. Differentials
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Section Projects: Even Fourth-Degree Polynomials, Minimum Time
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Review Exercises
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P.S. Problem Solving
5. Integration
5.1. Antiderivatives and Indefinite Integration
5.2. Area
5.3. Riemann Sums and Definite Integrals
5.4. The Fundamental Theorem of Calculus
5.5. Integration by Substitution
5.6. Indeterminate Forms and L’Hôpital’s Rule
5.7. The Natural Logarithmic Function: Integration
5.8. Inverse Trigonometric Functions: Integration
5.9. Hyperbolic Functions
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Section Project: Mercator Map
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Review Exercises
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P.S. Problem Solving
6. Differential Equations
6.1. Slope Fields and Euler’s Method
6.2. Growth and Decay
6.3. Separation of Variables
6.4. The Logistic Equation
6.5. First-Order Linear Differential Equations
6.6. Predator-Prey Differential Equations
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Section Project: Weight Loss
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Review Exercises
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P.S. Problem Solving
7. Applications of Integration
7.1. Area of a Region Between Two Curves
7.2. Volume: The Disk Method
7.3. Volume: The Shell Method
7.4. Arc Length and Surfaces of Revolution
7.5. Work
7.6. Moments, Centers of Mass, and Centroids
7.7. Fluid Pressure and Fluid Force
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Section Projects: Saturn, Pyramid of Khufu
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Review Exercises
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P.S. Problem Solving
8. Integration Techniques and Improper Integrals
8.1. Basic Integration Rules
8.2. Integration by Parts
8.3. Trigonometric Integrals
8.4. Trigonometric Substitution
8.5. Partial Fractions
8.6. Numerical Integration
8.7. Integration by Tables and Other Techniques
8.8. Improper Integrals
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Section Project: The Wallis Product
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Review Exercises
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P.S. Problem Solving
9. Infinite Series
9.1. Sequences
9.2. Series and Convergence
9.3. The Integral Test and p-Series
9.4. Comparisons of Series
9.5. Alternating Series
9.6. The Ratio and Root Tests
9.7. Taylor Polynomials and Approximations
9.8. Power Series
9.9. Representation of Functions by Power Series
9.10. Taylor and Maclaurin Series
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Section Projects: Cantor’s Table, The Harmonic Series
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Review Exercises
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P.S. Problem Solving
10. Conics, Parametric Equations, and Polar Coordinates
10.1. Conics and Calculus
10.2. Plane Curves and Parametric Equations
10.3. Parametric Equations and Calculus
10.4. Polar Coordinates and Polar Graphs
10.5. Area and Arc Length in Polar Coordinates
10.6. Polar Equations of Conics and Kepler’s Laws
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Section Projects: Cycloids, Cassini Oval
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Review Exercises
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P.S. Problem Solving
11. Vectors and the Geometry of Space
11.1. Vectors in the Plane
11.2. Space Coordinates and Vectors in Space
11.3. The Dot Product
11.4. The Cross Product
11.5. Lines and Planes in Space
11.6. Surfaces in Space
11.7. Cylindrical and Spherical Coordinates
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Section Project: Distances in Space
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Review Exercises
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P.S. Problem Solving
12. Vector-Valued Functions
12.1. Vector-Valued Functions
12.2. Differentiation and Integration
12.3. Velocity and Acceleration
12.4. Tangent and Normal Vectors
12.5. Arc Length and Curvature
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Section Project: Witch of Agnesi
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Review Exercises
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P.S. Problem Solving
13. Functions of Several Variables
13.1. Introduction and Graphs
13.2. Limits and Continuity
13.3. Partial Derivatives
13.4. Differentials
13.5. Chain Rules
13.6. Directional Derivatives and Gradients
13.7. Tangent Planes and Normal Lines
13.8. Extrema
13.9. Applications of Extrema
13.10. Lagrange Multipliers
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Section Projects: Wildflowers, Building a Pipeline
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Review Exercises
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P.S. Problem Solving
14. Multiple Integration
14.1. Iterated Integrals and Area
14.2. Double Integrals and Volume
14.3. Polar Coordinates
14.4. Center of Mass and Moments
14.5. Surface Area
14.6. Triple Integrals and Applications
14.7. Triple Integrals in Other Coordinates
14.8. Jacobians and Change of Variables
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Section Projects: Center of Pressure, Wrinkled Spheres
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Review Exercises
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P.S. Problem Solving
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Tags: Ron Larson, Bruce Edwards, Calculus Early