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Testbank for Thomas’ Calculus, Single Variable (14th Edition) by Joel R. Hass, Maurice D. Weir

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  • ISBN-10:  134439244 / ISBN-13:  9780134439242
  • Ebook Details

    • Format: Downloadable ZIP Fille
    • Resource Type : Testbank
    • Publication: 2017
    • Authors: Joel R. Hass, Christopher D. Heil, Maurice D. Weir
    • Delivery: Instant Download

    $70.00 $50.00

    SKU: 1ae404e50bf5 Categories: ,

    Table of content:

    1. Functions
    1.1 Functions and Their Graphs
    1.2 Combining Functions; Shifting and Scaling Graphs
    1.3 Trigonometric Functions
    1.4 Graphing with Software
    2. Limits and Continuity
    2.1 Rates of Change and Tangent Lines to Curves
    2.2 Limit of a Function and Limit Laws
    2.3 The Precise Definition of a Limit
    2.4 One-Sided Limits
    2.5 Continuity
    2.6 Limits Involving Infinity; Asymptotes of Graphs
    3. Derivatives
    3.1 Tangent Lines and the Derivative at a Point
    3.2 The Derivative as a Function
    3.3 Differentiation Rules
    3.4 The Derivative as a Rate of Change
    3.5 Derivatives of Trigonometric Functions
    3.6 The Chain Rule
    3.7 Implicit Differentiation
    3.8 Related Rates
    3.9 Linearization and Differentials
    4. Applications of Derivatives
    4.1 Extreme Values of Functions on Closed Intervals
    4.2 The Mean Value Theorem
    4.3 Monotonic Functions and the First Derivative Test
    4.4 Concavity and Curve Sketching
    4.5 Applied Optimization
    4.6 Newton’s Method
    4.7 Antiderivatives
    5. Integrals
    5.1 Area and Estimating with Finite Sums
    5.2 Sigma Notation and Limits of Finite Sums
    5.3 The Definite Integral
    5.4 The Fundamental Theorem of Calculus
    5.5 Indefinite Integrals and the Substitution Method
    5.6 Definite Integral Substitutions and the Area Between Curves
    6. Applications of Definite Integrals
    6.1 Volumes Using Cross-Sections
    6.2 Volumes Using Cylindrical Shells
    6.3 Arc Length
    6.4 Areas of Surfaces of Revolution
    6.5 Work and Fluid Forces
    6.6 Moments and Centers of Mass
    7. Transcendental Functions
    7.1 Inverse Functions and Their Derivatives
    7.2 Natural Logarithms
    7.3 Exponential Functions
    7.4 Exponential Change and Separable Differential Equations
    7.5 Indeterminate Forms and L’Hopital’s Rule
    7.6 Inverse Trigonometric Functions
    7.7 Hyperbolic Functions
    7.8 Relative Rates of Growth
    8. Techniques of Integration
    8.1 Using Basic Integration Formulas
    8.2 Integration by Parts
    8.3 Trigonometric Integrals
    8.4 Trigonometric Substitutions
    8.5 Integration of Rational Functions by Partial Fractions
    8.6 Integral Tables and Computer Algebra Systems
    8.7 Numerical Integration
    8.8 Improper Integrals
    8.9 Probability
    9. First-Order Differential Equations
    9.1 Solutions, Slope Fields, and Euler’s Method
    9.2 First-Order Linear Equations
    9.3 Applications
    9.4 Graphical Solutions of Autonomous Equations
    9.5 Systems of Equations and Phase Planes
    10. Infinite Sequences and Series
    10.1 Sequences
    10.2 Infinite Series
    10.3 The Integral Test
    10.4 Comparison Tests
    10.5 Absolute Convergence; The Ratio and Root Tests
    10.6 Alternating Series and Conditional Convergence
    10.7 Power Series
    10.8 Taylor and Maclaurin Series
    10.9 Convergence of Taylor Series
    10.10 Applications of Taylor Series
    11. Parametric Equations and Polar Coordinates
    11.1 Parametrizations of Plane Curves
    11.2 Calculus with Parametric Curves
    11.3 Polar Coordinates
    11.4 Graphing Polar Coordinate Equations
    11.5 Areas and Lengths in Polar Coordinates
    11.6 Conic Sections
    11.7 Conics in Polar Coordinates
    Appendices
    1. Real Numbers and the Real Line
    2. Mathematical Induction
    3. Lines, Circles, and Parabolas
    4. Proofs of Limit Theorems
    5. Commonly Occurring Limits
    6. Theory of the Real Numbers
    7. Complex Numbers
    8. The Distributive Law for Vector Cross Products
    9. The Mixed Derivative Theorem and the Increment Theorem

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