Test Banks For Essential Calculus 2nd Edition by James Stewart, 9781133112297, Chapter 1-13 Complete Guide

Essential Calculus 2nd Edition 2297 0875 0, 3, 4, 0, 2467, 3011, 9067, 6609 1: Functions and Limits 1.1: Functions and Their Representations 1.2: A Catalog of Essential Functions 1.3: The Limit of a Function 1.4: Calculating Limits 1.5: Continuity 1.6: Limits Involving Infinity 2: Derivatives 2.1: Derivatives and Rates of Change 2.2: The Derivative as a Function 2.3: Basic Differentiation Formulas 2.4: The Product and Quotient Rules 2.5: The Chain Rule 2.6: Implicit Differentiation 2.7: Related Rates 2.8: Linear Approximations and Differentials 3: Applications of Differentiation 3.1: Maximum and Minimum Values 3.2: The Mean Value Theorem 3.3: Derivatives and the Shapes of Graphs 3.4: Curve Sketching 3.5: Optimization Problems 3.6: Newton's Method 3.7: Antiderivatives 4: Integrals 4.1: Areas and Distances 4.2: The Definite Integral 4.3: Evaluating Definite Integrals 4.4: The Fundamental Theorem of Calculus 4.5: The Substitution Rule 5: Inverse Functions: Exponential, Logarithmic, and Inverse Trigonometric Functions 5.1: Inverse Functions 5.2: The Natural Logarithmic Function 5.3: The Natural Exponential Function 5.4: General Logarithmic and Exponential Functions 5.5: Exponential Growth and Decay 5.6: Inverse Trigonometric Functions 5.7: Hyperbolic Functions 5.8: Indeterminate Forms and l'Hospital's Rule 6: Techniques of Integration 6.1: Integration by Parts 6.2: Trigonometric Integrals and Substitutions 6.3: Partial Fractions 6.4: Integration with Tables and Computer Algebra Systems 6.5: Approximate Integration 6.6: Improper Integrals 7: Applications of Integration 7.1: Areas between Curves 7.2: Volumes 7.3: Volumes by Cylindrical Shells 7.4: Arc Length 7.5: Area of a Surface of Revolution 7.6: Applications to Physics and Engineering 7.7: Differential Equations 8: Series 8.1: Sequences 8.2: Series 8.3: The Integral and Comparison Tests 8.4: Other Convergence Tests 8.5: Power Series 8.6: Representing Functions as Power Series 8.7: Taylor and Maclaurin Series 8.8: Applications of Taylor Polynomials 9: Parametric Equations and Polar Coordinates 9.1: Parametric Curves 9.2: Calculus with Parametric Curves 9.3: Polar Coordinates 9.4: Areas and Lengths in Polar Coordinates 9.5: Conic Sections in Polar Coordinates 10: Vectors and the Geometry of Space 10.1 Three-Dimensional Coordinate Systems 10.2: Vectors 10.3: The Dot Product 10.4: The Cross Product 10.5: Equations of Lines and Planes 10.6: Cylinders and Quadric Surfaces 10.7: Vector Functions and Space Curves 10.8: Arc Length and Curvature 10.9: Motion in Space: Velocity and Acceleration 11: Partial Derivatives 11.1: Functions of Several Variables 11.2: Limits and Continuity 11.3: Partial Derivatives 11.4: Tangent Planes and Linear Approximations 11.5: The Chain Rule 11.6: Directional Derivatives and the Gradient Vector 11.7: Maximum and Minimum Values 11.8: Lagrange Multipliers 12: Multiple Integrals 12.1: Double Integrals over Rectangles 12.2: Double Integrals over General Regions 12.3: Double Integrals in Polar Coordinates 12.4: Applications of Double Integrals 12.5: Triple Integrals 12.6: Triple Integrals in Cylindrical Coordinates 12.7: Triple Integrals in Spherical Coordinates 12.8: Change of Variables in Multiple Integrals 13: Vector Calculus 13.1: Vector Fields 13.2: Line Integrals 13.3: The Fundamental Theorem for Line Integrals 13.4: Green's Theorem 13.5: Curl and Divergence 13.6: Parametric Surfaces and Their Areas 13.7: Surface Integrals 13.8: Stokes' Theorem 13.9: The Divergence Theorem