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Horizontal Asymptotes, Chapter 2.7 - Derivatives And Rates Of Change, Chapter 2.8 - The Derivative As A Function, Chapter 3.1 - Derivatives Of Polynomials And Exponential Functions, Chapter 3.2 - The Product And Quotient Rules, Chapter 3.3 - Derivatives Of Trigonometric Functions, Chapter 3.6 - Derivatives Of Logarithmic Functions, Chapter 3.7 - Rates Of Change In The Natural And Social Sciences, Chapter 3.8 - Exponential Growth And Decay, Chapter 3.10 - Linear Approximations And Differentials, Chapter 4 - Applications Of Differentiation, Chapter 4.3 - How Derivatives Affect The Shape Of A Graph, Chapter 4.4 - Indeterminate Forms And L'hospital's Rule, Chapter 4.6 - Graphing With Calculus And Calculators, Chapter 5.3 - The Fundamental Theorem Of Calculus, Chapter 5.4 - Indefinite Integrals And The Net Change Theorem, Chapter 6.3 - Volumes By Cylindrical Shells, Chapter 6.5 - Average Value Of A Function, Chapter 7.4 - Integration Of Rationai Functions By Partial Fractions, Chapter 7.6 - Integration Using Tables And Computer Algebra Systems, Chapter 8 - Further Applications Of Integration, Chapter 8.2 - Area Of A Surface Of Revolution, Chapter 8.3 - Applications To Physics And Engineering, Chapter 8.4 - Applications To Economics And Biology, Chapter 9.1 - Modeling With Differential Equations, Chapter 9.2 - Direction Fields And Euler's Method, Chapter 9.4 - Models For Population Growth, Chapter 10 - Parametric Equations And Polar Coordinates, Chapter 10.1 - Curves Defined By Parametric Equations, Chapter 10.2 - Calculus With Parametric Curves, Chapter 10.4 - Areas And Lengths In Polar Coordinates, Chapter 10.6 - Conic Sections In Polar Coordinates, Chapter 11 - Infinite Sequences And Series, Chapter 11.3 - The Integral Test And Estimates Of Sums, Chapter 11.6 - Absolute Convergence And The Ratio And Root Tests, Chapter 11.7 - Strategy For Testing Series, Chapter 11.9 - Representations Of Functions As Power Series, Chapter 11.10 - Taylor And Maclaurin Series, Chapter 11.11 - Applications Of Taylor Polynomials, Chapter 12 - Vectors And The Geometry Of Space, Chapter 12.1 - Three-dimensional Coordinate Systems, Chapter 12.5 - Equations Of Lines And Planes, Chapter 12.6 - Cylinders And Quadric Surfaces, Chapter 13.1 - Vector Functions And Space Curves, Chapter 13.2 - Derivatives And Integrals Of Vector Functions, Chapter 13.4 - Motion In Space: Velocity And Acceleration, Chapter 14.1 - Functions Of Several Variables, Chapter 14.4 - Tangent Planes And Linear Approximations, Chapter 14.6 - Directional Derivatives And The Gradient Vector, Chapter 14.7 - Maximum And Minimum Values, Chapter 15.1 - Double Integrals Over Rectangles, Chapter 15.2 - Double Integrals Over General Regions, Chapter 15.3 - Double Integrals In Polar Coordinates, Chapter 15.4 - Applications Of Double Integrals, Chapter 15.7 - Triple Integrals In Cylindrical Coordinates, Chapter 15.8 - Triple Integrals In Spherical Coordinates, Chapter 15.9 - Change Of Variables In Multiple Integrals, Chapter 16.3 - The Fundamental Theorem For Line Integrals, Chapter 16.6 - Parametric Surfaces And Their Areas, Chapter 17 - Second-order Differential Equations, Chapter 17.1 - Second-order Linear Equations, Chapter 17.2 - Nonhomogeneous Linear Equations, Chapter 17.3 - Applications Of Second-order Differential Equations. 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