Calculus – Ron Larson – 11th Edition

Description

With a long history of innovation in the market, Larson/Edwards’ has been widely praised by a generation of and professors for solid and effective pedagogy that addresses the needs of a broad range of teaching and styles and environments.

Each title in the series is one component in a comprehensive calculus course program that carefully integrates and coordinates print, media, and technology products for successful teaching and learning.

This new edition is now supported by WebAssign, the powerful online homework and course that engages students in learning math.

Table of Contents

Chapter 1: Limits and Their Properties
1.1: A Preview of Calculus (23)
1.2: Finding Limits Graphically and Numerically (74)
1.3: Evaluating Limits Analytically (71)
1.4: Continuity and One-Sided Limits (65)
1.5: Infinite Limits (60)
1: Review Exercises (50)
1: Problem Solving

Chapter 2: Differentiation
2.1: The Derivative and the Tangent Line Problem (67)
2.2: Basic Differentiation Rules and Rates of Change (76)
2.3: Product and Quotient Rules and Higher-Order Derivatives (78)
2.4: The Chain Rule (73)
2.5: Implicit Differentiation (58)
2.6: Related Rates (56)
2: Review Exercises (47)
2: Problem Solving

Chapter 3: Applications of Differentiation
3.1: Extrema on an Interval (57)
3.2: Rolle's Theorem and the Mean Value Theorem (67)
3.3: Increasing and Decreasing Functions and the First Derivative Test (64)
3.4: Concavity and the Second Derivative Test (64)
3.5: Limits at Infinity (71)
3.6: A Summary of Curve Sketching (64)
3.7: Optimization Problems (65)
3.8: Newton's Method (48)
3.9: Differentials (51)
3: Review Exercises (50)
3: Problem Solving

Chapter 4: Integration
4.1: Antiderivatives and Indefinite Integration (81)
4.2: Area (78)
4.3: Riemann Sums and Definite Integrals (64)
4.4: The Fundamental Theorem of Calculus (111)
4.5: Integration by Substitution (83)
4: Review Exercises (50)
4: Problem Solving

Chapter 5: Logarithmic, Exponential, and Other Transcendental Functions
5.1: The Natural Logarithmic Function: Differentiation (70)
5.2: The Natural Logarithmic Function: Integration (85)
5.3: Inverse Functions (66)
5.4: Exponential Functions: Differentiation and Integration (85)
5.5: Bases Other than e and Applications (80)
5.6: Indeterminate Forms and L'Hôpital's Rule (77)
5.7: Inverse Trigonometric Functions: Differentiation (68)
5.8: Inverse Trigonometric Functions: Integration (86)
5.9: Hyperbolic Functions (90)
5: Review Exercises (68)
5: Problem Solving

Chapter 6: Differential Equations
6.1: Slope Fields and Euler's Method (70)
6.2: Growth and Decay (75)
6.3: Separation of Variables and the Logistic Equation (86)
6.4: First-Order Linear Differential Equations (70)
6: Review Exercises (47)
6: Problem Solving

Chapter 7: Applications of Integration
7.1: Area of a Region Between Two Curves (83)
7.2: Volume: The Disk Method (81)
7.3: Volume: The Shell Method (57)
7.4: Arc Length and Surfaces of Revolution (65)
7.5: Work (45)
7.6: Moments, Centers of Mass, and Centroids (59)
7.7: Fluid Pressure and Fluid Force (27)
7: Review Exercises (46)
7: Problem Solving

Chapter 8: Integration Techniques and Improper Integrals
8.1: Basic Integration Rules (71)
8.2: Integration by Parts (77)
8.3: Trigonometric Integrals (62)
8.4: Trigonometric Substitution (69)
8.5: Partial Fractions (55)
8.6: Numerical Integration (66)
8.7: Integration by Tables and Other Integration Techniques (65)
8.8: Improper Integrals (77)
8: Review Exercises (50)
8: Problem Solving

Chapter 9: Infinite Series
9.1: Sequences (51)
9.2: Series and Convergence (49)
9.3: The Integral Test and p-Series (41)
9.4: Comparisons of Series (36)
9.5: Alternating Series (55)
9.6: The Ratio and Root Tests (47)
9.7: Taylor Polynomials and Approximations (38)
9.8: Power Series (40)
9.9: Representation of Functions by Power Series (38)
9.10: Taylor and Maclaurin Series (44)
9: Review Exercises (64)
9: Problem Solving

Chapter 10: Conics, Parametric Equations, and Polar Coordinates
10.1: Conics and Calculus (63)
10.2: Plane Curves and Parametric Equations (44)
10.3: Parametric Equations and Calculus (57)
10.4: Polar Coordinates and Polar Graphs (60)
10.5: Area and Arc Length in Polar Coordinates (55)
10.6: Polar Equations of Conics and Kepler's Laws (42)
10: Review Exercises (50)
10: Problem Solving

Chapter 11: Vectors and the Geometry of Space
11.1: Vectors in the Plane (53)
11.2: Space Coordinates and Vectors in Space (66)
11.3: The Dot Product of Two Vectors (53)
11.4: The Cross Product of Two Vectors in Space (43)
11.5: Lines and Planes in Space (67)
11.6: Surfaces in Space (45)
11.7: Cylindrical and Spherical Coordinates (62)
11: Review Exercises (49)
11: Problem Solving

Chapter 12: Vector-Valued Functions
12.1: Vector-Valued Functions (50)
12.2: Differentiation and Integration of Vector-Valued Functions (52)
12.3: Velocity and Acceleration (49)
12.4: Tangent Vectors and Normal Vectors (60)
12.5: Arc Length and Curvature (55)
12: Review Exercises (49)
12: Problem Solving

Chapter 13: Functions of Several Variables
13.1: Introduction to Functions of Several Variables (47)
13.2: Limits and Continuity (47)
13.3: Partial Derivatives (60)
13.4: Differentials (44)
13.5: Chain Rules for Functions of Several Variables (42)
13.6: Directional Derivatives and Gradients (55)
13.7: Tangent Planes and Normal Lines (44)
13.8: Extrema of Functions of Two Variables (53)
13.9: Applications of Extrema (51)
13.10: Lagrange Multipliers (42)
13: Review Exercises (50)
13: Problem Solving

Chapter 14: Multiple Integration
14.1: Iterated Integrals and Area in the Plane (61)
14.2: Double Integrals and Volume (54)
14.3: Change of Variables: Polar Coordinates (47)
14.4: Center of Mass and Moments of Inertia (46)
14.5: Surface Area (40)
14.6: Triple Integrals and Applications (48)
14.7: Triple Integrals in Other Coordinates (43)
14.8: Change of Variables: Jacobians (42)
14: Review Exercises (50)
14: Problem Solving

Chapter 15: Vector Analysis
15.1: Vector Fields (49)
15.2: Line Integrals (50)
15.3: Conservative Vector Fields and Independence of Path (46)
15.4: Green's Theorem (45)
15.5: Parametric Surfaces (43)
15.6: Surface Integrals (43)
15.7: Divergence Theorem (34)
15.8: Stokes's Theorem (34)
15: Review Exercises (50)
15: Problem Solving

Chapter 16: Additional Topics in Differential Equations (Online)
16.1: Exact First-Order Equations (48)
16.2: Second-Order Homogeneous Linear Equations (48)
16.3: Second-Order Nonhomogeneous Linear Equations (45)
16.4: Series Solutions of Differential Equations (27)
16: Review Exercises (50)
16: Problem Solving

Chapter P: Preparation for Calculus
P.1: Graphs and Models (61)
P.2: Linear Models and Rates of Change (74)
P.3: Functions and Their Graphs (58)
P.4: Review of Trigonometric Functions (45)
P: Review Exercises (50)
P: Problem Solving

Chapter A: Appendices
A.A: Proofs of Selected Theorems
A.B: Integration Tables
A.C: Precalculus Review (Online)
A.D: Rotation and the General Second-Degree Equation (Online)
A.E: Complex Numbers (Online)
A.F: Business and Economic Applications (Online)
A.G: Fitting Models to Data (Online) (31)

Chapter QP: Quick Prep Topics
QP.1: Definition and Representations of Functions (15)
QP.2: Working with Representations of Functions (16)
QP.3: Function Notation (15)
QP.4: Domain and Range of a Function (14)
QP.5: Solving Linear Equations (16)
QP.6: Linear Functions (17)
QP.7: Parabolas (15)
QP.8: Factoring Quadratic Equations and Finding x-intercepts of a Quadratic Function (14)
QP.9: Polynomials (19)
QP.10: More about Factoring Polynomials (14)
QP.11: Finding Roots (16)
QP.12: Dividing Polynomials (16)
QP.13: Rational Functions (21)
QP.14: Root Functions (17)
QP.15: Rationalizing the Numerator or Denominator (13)
QP.16: Exponential Functions (16)
QP.17: Logarithmic Functions (17)
QP.18: Trigonometric Functions and the Unit Circle (17)
QP.19: Graphs of Trigonometric Functions (17)
QP.20: Trigonometric Identities (20)
QP.21: Special Functions (14)
QP.22: Algebraic Combinations of Functions (16)
QP.23: Composition of Functions (15)
QP.24: Transformations of Functions (14)
QP.25: Inverse Functions (19)
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