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Note: Supplemental materials are not guaranteed with Rental or Used book purchases.
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Chapter 1: Precalculus Review1.1 Real Numbers, Functions, and Graphs1.2 Linear and Quadratic Functions1.3 The Basic Classes of Functions1.4 Trigonometric Functions1.5 Inverse Functions1.6 Exponential and Logarithmic Functions1.7 Technology Calculators and Computers
Chapter 2: Limits2.1 Limits, Rates of Change, and Tangent Lines2.2 Limits: A Numerical and Graphical Approach2.3 Basic Limit Laws2.4 Limits and Continuity2.5 Evaluating Limits Algebraically2.6 Trigonometric Limits2.7 Limits at Infinity2.8 Intermediate Value Theorem2.9 The Formal Definition of a Limit
Chapter 3: Differentiation3.1 Definition of the Derivative3.2 The Derivative as a Function3.3 Product and Quotient Rules3.4 Rates of Change3.5 Higher Derivatives3.6 Trigonometric Functions3.7 The Chain Rule3.8 Derivatives of Inverse Functions3.9 Derivatives of General Exponential and Logarithmic Functions3.10 Implicit Differentiation3.11 Related Rates
Chapter 4: Applications of the Derivative4.1 Linear Approximation and Applications4.2 Extreme Values4.3 The Mean Value Theorem and Monotonicity4.4 The Shape of a Graph4.5 L’Hopital’s Rule4.6 Graph Sketching and Asymptotes4.7 Applied Optimization4.8 Newton’s Method4.9 Antiderivatives
Chapter 5: The Integral5.1 Approximating and Computing Area5.2 The Definite Integral5.3 The Fundamental Theorem of Calculus, Part I5.4 The Fundamental Theorem of Calculus, Part II5.5 Net Change as the Integral of a Rate5.6 Substitution Method5.7 Further Transcendental Functions5.8 Exponential Growth and Decay
Chapter 6: Applications of the Integral6.1 Area Between Two Curves6.2 Setting Up Integrals: Volume, Density, Average Value6.3 Volumes of Revolution6.4 The Method of Cylindrical Shells6.5 Work and Energy
Chapter 7: Techniques of Integration7.1 Integration by Parts7.2 Trigonometric Integrals7.3 Trigonometric Substitution7.4 Integrals Involving Hyperbolic and Inverse Hyperbolic Functions7.5 The Method of Partial Fractions7.6 Improper Integrals7.7 Probability and Integration7.8 Numerical Integration
Chapter 8: Further Applications of the Integral and Taylor Polynomials8.1 Arc Length and Surface Area8.2 Fluid Pressure and Force8.3 Center of Mass8.4 Taylor Polynomials
Chapter 9: Introduction to Differential Equations9.1 Solving Differential Equations9.2 Models Involving y’ = k (y-b)9.3 Graphical and Numerical Methods9.4 The Logistic Equation9.5 First-Order Linear Equations
Chapter 10: Infinite Series10.1 Sequences10.2 Summing an Infinite Series10.3 Convergence of Series with Positive Terms10.4 Absolute and Conditional Convergence10.5 The Ratio and Root Tests10.6 Power Series10.7 Taylor Series
Chapter 11: Parametric Equations, Polar Coordinates, and Conic Sections11.1 Parametric Equations11.2 Arc Length and Speed11.3 Polar Coordinates11.4 Area and Arc Length in Polar Coordinates11.5 Conic Sections
Chapter 12: Vector Geometry12.1 Vectors in the Plane12.2 Vectors in Three Dimensions12.3 Dot Product and the Angle Between Two Vectors12.4 The Cross Product12.5 Planes in Three-Space12.6 A Survey of Quadric Surfaces12.7 Cylindrical and Spherical Coordinates
The New copy of this book will include any supplemental materials advertised. Please check the title of the book to determine if it should include any access cards, study guides, lab manuals, CDs, etc.
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