#EARLY TRANSCENDENTALS SERIES#
1.6 Exponential and Logarithmic Functionsġ.7 Technology: Calculators and ComputersĬhapter Review Exercises Chapter 2: LimitsĢ.1 The Limit Idea: Instantaneous Velocity and Tangent LinesĢ.6 The Squeeze Theorem and Trigonometric LimitsĬhapter Review Exercises Chapter 3: Differentiationģ.9 Derivatives of General Exponential and Logarithmic FunctionsĬhapter Review Exercises Chapter 4: Applications of the DerivativeĤ.1 Linear Approximation and ApplicationsĤ.3 The Mean Value Theorem and MonotonicityĤ.6 Analyzing and Sketching Graphs of FunctionsĬhapter Review Exercises Chapter 5: Integrationĥ.4 The Fundamental Theorem of Calculus, Part Iĥ.5 The Fundamental Theorem of Calculus, Part IIĥ.6 Net Change as the Integral of a Rate of ChangeĬhapter Review Exercises Chapter 6: Applications of the IntegralĦ.2 Setting Up Integrals: Volume, Density, Average ValueĦ.3 Volumes of Revolution: Disks and WashersĦ.4 Volumes of Revolution: Cylindrical ShellsĬhapter Review Exercises Chapter 7: Techniques of Integrationħ.4 Integrals Involving Hyperbolic and Inverse Hyperbolic FunctionsĬhapter Review Exercises Chapter 8: Further Applications of the IntegralĬhapter Review Exercises Chapter 9: Introduction to Differential EquationsĬhapter Review Exercises Chapter 10: Infinite Seriesġ0.3 Convergence of Series with Positive Termsġ0.4 Absolute and Conditional Convergenceġ0.5 The Ratio and Root Tests and Strategies for Choosing TestsĬhapter Review Exercises Chapter 11: Parametric Equations, Polar Coordinates, and Conic Sectionsġ1.4 Area and Arc Length in Polar CoordinatesĬhapter Review Exercises Chapter 12: Vector Geometryġ2.2 Three-Dimensional Space: Surfaces, Vectors, and Curvesġ2.3 Dot Product and the Angle Between Two Vectorsġ2.7 Cylindrical and Spherical CoordinatesĬhapter Review Exercises Chapter 13: Calculus of Vector-Valued Functionsġ3.6 Planetary Motion According to Kepler and NewtonĬhapter Review Exercises Chapter 14: Differentiation in Several Variablesġ4.2 Limits and Continuity in Several Variablesġ4.4 Differentiability, Tangent Planes, and Linear Approximationġ4.5 The Gradient and Directional Derivativesġ4.8 Lagrange Multipliers: Optimizing with a ConstraintĬhapter Review Exercises Chapter 15: Multiple Integrationġ5.2 Double Integrals Over More General Regionsġ5.4 Integration in Polar, Cylindrical, and Spherical CoordinatesĬhapter Review Exercises Chapter 16: Line and Surface Integralsġ6.4 Parametrized Surfaces and Surface IntegralsĬhapter Review Exercises Chapter 17: Fundamental Theorems of Vector Analysis
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