Stewart Calculus: Early Transcendentals, 8th Edition

Transcription

1 Math Textbook - Table of Contents Math Calculus I - Chapters 2-6 Math Calculus II - Chapters 7-12 Math Multivariable Calculus - Chapters Stewart Calculus: Early Transcendentals, 8th Edition ISBN: / Author: Stewart Published: 2015 Table of Contents Chapter 1 Functions And Models 1.1 Four Ways to Represent a Function Exercises p Mathematical Models: A Catalog of Essential Functions Exercises p New Functions from Old Functions Exercises p Exponential Functions Exercises p Inverse Functions and Logarithms Exercises p.66 Review: Concept Check p.68 Review: Exercises p.69 Review: True-False Quiz p.69 Problems Plus p.76 1

2 Chapter 2 Limits And Derivatives 2.1 The Tangent and Velocity Problems Exercises p The Limit of a Function Exercises p Calculating Limits Using the Limit Laws Exercises p The Precise Definition of a Limit Exercises p Continuity Exercises p Limits at Infinity; Horizontal Asymptotes Exercises p Derivatives and Rates of Change Exercises p The Derivative as a Function Exercises p.160 Review: Concept Check p.165 Review: True-False Quiz p.166 Review: Exercises p.166 Problems Plus p.169 Chapter 3 Differentiation Rules 3.1 Derivatives of Polynomials and Exponential Functions Exercises p The Product and Quotient Rules Exercises p Derivatives of Trigonometric Functions Exercises p The Chain Rule Exercises p Implicit Differentiation Exercises p Derivatives of Logarithmic Functions Exercises p Rates of Change in the Natural and Social Sciences Exercises p Exponential Growth and Decay Exercises p Related Rates Exercises p Linear Approximations and Differentials Exercises p Hyperbolic Functions Exercises p.264 Review: True-False Quiz p.266 Review: Concept Check p.266 Review: Concept Check p.267 Problems Plus p.271 2

3 Chapter 4 Applications Of Differentiation 4.1 Maximum and Minimum Values Exercises p The Mean Value Theorem Exercises p How Derivatives Affect the Shape of a Graph Exercises p Indeterminate Forms and l'hospital's Rule Exercises p Summary of Curve Sketching Exercises p Graphing with Calculus and Calculators Exercises p Optimization Problems Exercises p Newton's Method Exercises p Antiderivatives Exercises p.355 Review: True-False Quiz p.358 Review: Concept Check p.358 Review: Exercises p.359 Problems Plus p.363 Chapter 5 Integrals 5.1 Areas and Distances Exercises p The Definite Integral Exercises p The Fundamental Theorem of Calculus Exercises p Indefinite Integrals and the Net Change Theorem Exercises p The Substitution Rule Exercises p.418 Review: Concept Check p.421 Review: True-False Quiz p.421 Review: Exercises p.422 Problems Plus p.425 3

4 Chapter 6 Applications Of Integration 6.1 Areas Between Curves Exercises p Volumes Exercises p Volumes by Cylindrical Shells Exercises p Work Exercises p Average Value of a Function Exercises p.463 Review: Exercises p.466 Review: Concept Check p.466 Problems Plus p.468 Chapter 7 Techniques Of Integration 7.1 Integration by Parts Exercises p Trigonometric Integrals Exercises p Trigonometric Substitution Exercises p Integration of Rational Functions by Partial Fractions Exercises p Strategy for Integration Exercises p Integration Using Tables and Computer Algebra Systems Exercises p Approximate Integration Exercises p Improper Integrals Exercises p.534 Review: Concept Check p.537 Review: True-False Quiz p.537 Review: Exercises p.537 Problems Plus p.541 Chapter 8 Further Applications Of Integration 8.1 Arc Length Exercises p Area of a Surface of Revolution Exercises p Applications to Physics and Engineering Exercises p Applications to Economics and Biology Exercises p Probability Exercises p.579 Review: Concept Check p.581 4

5 Review: Exercises p.581 Problems Plus p.583 Chapter 9 Differential Equations 9.1 Modeling with Differential Equations Exercises p Direction Fields and Euler's Method Exercises p Separable Equations Exercises p Models for Population Growth Exercises p Linear Equations Exercises p Predator-Prey Systems Exercises p.631 Review: Exercises p.634 Review: True-False Quiz p.634 Review: Concept Check p.634 Problems Plus p.637 Chapter 10 Parametric Equations And Polar Coordinates 10.1 Curves Defined by Parametric Equations Exercises p Calculus with Parametric Curves Exercises p Polar Coordinates Exercises p Areas and Lengths in Polar Coordinates Exercises p Conic Sections Exercises p Conic Sections in Polar Coordinates Exercises p.688 Review: Concept Check p.689 Review: True-False Quiz p.689 Review: Exercises p.690 Problems Plus p.692 5

6 Chapter 11 Infinite Sequences And Series 11.1 Sequences Exercises p Series Exercises p The Integral Test and Estimates of Sums Exercises p The Comparison Tests Exercises p Alternating Series Exercises p Absolute Convergence and the Ratio and Root Tests Exercises p Strategy for Testing Series Exercises p Power Series Exercises p Representations of Functions as Power Series Exercises p Taylor and Maclaurin Series Exercises p Applications of Taylor Polynomials Exercises p.780 Review: True-False Quiz p.784 Review: Concept Check p.784 Review: Exercises p.785 Problems Plus p.787 Chapter 12 Vectors And The Geometry Of Space 12.1 Three-Dimensional Coordinate Systems Exercises p Vectors Exercises p The Dot Product Exercises p The Cross Product Exercises p Equations of Lines and Planes Exercises p Cylinders and Quadric Surfaces Exercises p.839 Review: Concept Check p.841 Review: True-False Quiz p.842 Review: Exercises p.842 Problems Plus p.844 6

7 Chapter 13 Vector Functions 13.1 Vector Functions and Space Curves Exercises p Derivatives and Integrals of Vector Functions Exercises p Arc Length and Curvature Exercises p Motion in Space: Velocity and Acceleration Exercises p.878 Review: Concept Check p.881 Review: True-False Quiz p.881 Review: Exercises p.882 Problems Plus p.884 Chapter 14 Partial Derivatives 14.1 Functions of Several Variables Exercises p Limits and Continuity Exercises p Partial Derivatives Exercises p Tangent Planes and Linear Approximations Exercises p The Chain Rule Exercises p Directional Derivatives and the Gradient Vector Exercises p Maximum and Minimum Values Exercises p Lagrange Multipliers Exercises p.977 Review: Concept Check p.981 Review: True-False Quiz p.982 Review: Exercises p.982 Problems Plus p.985 7

8 Chapter 15 Multiple Integrals 15.1 Double Integrals over Rectangles Exercises p Double Integrals over General Regions Exercises p Double Integrals in Polar Coordinates Exercises p Applications of Double Integrals Exercises p Surface Area Exercises p Triple Integrals Exercises p Triple Integrals in Cylindrical Coordinates Exercises p Triple Integrals in Spherical Coordinates Exercises p Change of Variables in Multiple Integrals Exercises p.1060 Review: True-False Quiz p.1061 Review: Concept Check p.1061 Review: Exercises p.1062 Chapter 16 Vector Calculus Problems Plus p Vector Fields Exercises p Line Integrals Exercises p The Fundamental Theorem for Line Integrals Exercises p Green's Theorem Exercises p Curl and Divergence Exercises p Parametric Surfaces and Their Areas Exercises p Surface Integrals Exercises p Stoke's Theorem Exercises p The Divergence Theorem Exercise p.1145 Review: True-False Quiz p.1148 Review: Concept Check p.1148 Review: Exercises p.1149 Problems Plus p

9 Chapter 17 Second-Order Differential Equations 17.1 Second-Order Linear Equations Exercises p Nonhomogeneous Linear Equations Exercises p Applications of Second-Order Differential Equations Exercises p Series Solutions Exercises p.1180 Review: True-False Quiz p.1181 Review: Concept Check p.1181 Review: Exercises p