test bank for Calculus 3rd edition by William L. Briggs

test bank for Calculus 3rd edition by William L. Briggs
test bank for Calculus 3rd edition by William L. Briggs

1. Functions
   1.1 Review of Functions
   1.2 Representing Functions
   1.3 Trigonometric Functions
   Review Exercises
2. Limits
   2.1 The Idea of Limits
   2.2 Definitions of Limits
   2.3 Techniques for Computing Limits
   2.4 Infinite Limits
   2.5 Limits at Infinity
   2.6 Continuity
   2.7 Precise Definitions of Limits
   Review Exercises
3. Derivatives
   3.1 Introducing the Derivative
   3.2 The Derivative as a Function
   3.3 Rules of Differentiation
   3.4 The Product and Quotient Rules
   3.5 Derivatives of Trigonometric Functions
   3.6 Derivatives as Rates of Change
   3.7 The Chain Rule
   3.8 Implicit Differentiation
   3.9 Related Rates
   Review Exercises
4. Applications of the Derivative
   4.1 Maxima and Minima
   4.2 Mean Value Theorem
   4.3 What Derivatives Tell Us
   4.4 Graphing Functions
   4.5 Optimization Problems
   4.6 Linear Approximation and Differentials
   4.7 L'Hôpital's Rule
   4.8 Newton's Method
   4.9 Antiderivatives
   Review Exercises
5. Integration
   5.1 Approximating Areas under Curves
   5.2 Definite Integrals
   5.3 Fundamental Theorem of Calculus
   5.4 Working with Integrals
   5.5 Substitution Rule
   Review Exercises
6. Applications of Integration
   6.1 Velocity and Net Change
   6.2 Regions Between Curves
   6.3 Volume by Slicing
   6.4 Volume by Shells
   6.5 Length of Curves
   6.6 Surface Area
   6.7 Physical Applications
   Review Exercises
7. Logarithmic and Exponential Functions
   7.1 Inverse Functions
   7.2 The Natural Logarithmic and Exponential Functions
   7.3 Logarithmic and Exponential Functions with Other Bases
   7.4 Exponential Models
   7.5 Inverse Trigonometric Functions
   7.6 L' Hôpital's Rule and Growth Rates of Functions
   7.7 Hyperbolic Functions
   Review Exercises
8. Integration Techniques
   8.1 Basic Approaches
   8.2 Integration by Parts
   8.3 Trigonometric Integrals
   8.4 Trigonometric Substitutions
   8.5 Partial Fractions
   8.6 Integration Strategies
   8.7 Other Methods of Integration
   8.8 Numerical Integration
   8.9 Improper Integrals
   Review Exercises
9. Differential Equations
   9.1 Basic Ideas
   9.2 Direction Fields and Euler's Method
   9.3 Separable Differential Equations
   9.4 Special First-Order Linear Differential Equations
   9.5 Modeling with Differential Equations
   Review Exercises
10. Sequences and Infinite Series
    10.1 An Overview
    10.2 Sequences
    10.3 Infinite Series
    10.4 The Divergence and Integral Tests
    10.5 Comparison Tests
    10.6 Alternating Series
    10.7 The Ratio and Root Tests
    10.8 Choosing a Convergence Test
    Review Exercises
11. Power Series
    11.1 Approximating Functions with Polynomials
    11.2 Properties of Power Series
    11.3 Taylor Series
    11.4 Working with Taylor Series
    Review Exercises
12. Parametric and Polar Curves
    12.1 Parametric Equations
    12.2 Polar Coordinates
    12.3 Calculus in Polar Coordinates
    12.4 Conic Sections
    Review Exercises
13. Vectors and the Geometry of Space
    13.1 Vectors in the Plane
    13.2 Vectors in Three Dimensions
    13.3 Dot Products
    13.4 Cross Products
    13.5 Lines and Planes in Space
    13.6 Cylinders and Quadric Surfaces
    Review Exercises
14. Vector-Valued Functions
    14.1 Vector-Valued Functions
    14.2 Calculus of Vector-Valued Functions
    14.3 Motion in Space
    14.4 Length of Curves
    14.5 Curvature and Normal Vectors
    Review Exercises
15. Functions of Several Variables
    15.1 Graphs and Level Curves
    15.2 Limits and Continuity
    15.3 Partial Derivatives
    15.4 The Chain Rule
    15.5 Directional Derivatives and the Gradient
    15.6 Tangent Planes and Linear Approximation
    15.7 Maximum/Minimum Problems
    15.8 Lagrange Multipliers
    Review Exercises
16. Multiple Integration
    16.1 Double Integrals over Rectangular Regions
    16.2 Double Integrals over General Regions
    16.3 Double Integrals in Polar Coordinates
    16.4 Triple Integrals
    16.5 Triple Integrals in Cylindrical and Spherical Coordinates
    16.6 Integrals for Mass Calculations
    16.7 Change of Variables in Multiple Integrals
    Review Exercises
17. Vector Calculus
    17.1 Vector Fields
    17.2 Line Integrals
    17.3 Conservative Vector Fields
    17.4 Green's Theorem
    17.5 Divergence and Curl
    17.6 Surface Integrals
    17.7 Stokes' Theorem
    17.8 Divergence Theorem
    Review Exercises
    D2 Second-Order Differential Equations ONLINE
    D2.1 Basic Ideas
    D2.2 Linear Homogeneous Equations
    D2.3 Linear Nonhomogeneous Equations
    D2.4 Applications
    D2.5 Complex Forcing Functions
    Review Exercises
    APPENDICES
    A. Proofs of Selected Theorems
    B. Algebra Review ONLINE
    C. Complex Numbers ONLINE
    Answers
    Index
    Table of Integrals
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