Calculus 4th edition

Textbook Cover

Robert T. Smith and Roland B. Minton
Publisher: McGraw-Hill Education


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  • Chapter A: Algebra Review
    • A.1: The Cartesian Coordinate Plane (52)
    • A.2: Linear and Quadratic Functions (36)
    • A.3: Polynomial Functions (31)
    • A.4: Rational Functions (46)
    • A.5: Further Topics in Functions (53)
    • A.6: Exponential and Logarithmic Functions (46)
    • A.7: Introduction to Conics (17)
    • A.8: Systems of Equations and Matrices (24)
    • A.9: Sequences and the Binomial Theorem (24)

  • Chapter T: Trigonometry Review
    • T.1: Foundations of Trigonometry (95)
    • T.2: Applications of Trigonometry (5)

  • Chapter 0: Preliminaries
    • 0.1: The Real Numbers and the Cartesian Plane (1)
    • 0.2: Lines and Functions (9)
    • 0.3: Graphing Calculators and Computer Algebra Systems (1)
    • 0.4: Trigonometric Functions (4)
    • 0.5: Transformations of Functions (13)

  • Chapter 1: Limits and Continuity
    • 1.1: Introduction to Tangent Lines and Arc Lengths (1)
    • 1.2: Introduction to Limits (3)
    • 1.3: Computation of Limits (11)
    • 1.4: Continuity (9)
    • 1.5: Limits Involving Infinity; Asymptotes (22)
    • 1.6: Formal Definition of the Limit (3)
    • 1.7: Limits and Loss-of-Significance Errors

  • Chapter 2: Differentiation
    • 2.1: Tangent Lines and Velocity (3)
    • 2.2: The Derivative
    • 2.3: The Power, Sum, Difference, and Constant Multiple Rules of Differentiation (13)
    • 2.4: The Product and Quotient Rule (9)
    • 2.5: The Chain Rule (5)
    • 2.6: Derivatives of Trigonometric Functions (6)
    • 2.7: Implicit Differentiation (7)
    • 2.8: The Mean Value Theorem (11)

  • Chapter 3: Applications of Differentiation
    • 3.1: Linear Approximations and Newton's Method (19)
    • 3.2: Maximum and Minimum Values (9)
    • 3.3: Increasing and Decreasing Functions (5)
    • 3.4: Concavity and the Second Derivative Test (9)
    • 3.5: Curve Sketching using the First and Second Derivatives (16)
    • 3.6: Optimization (18)
    • 3.7: Related Rates (13)
    • 3.8: Applications of Rates of Change (1)

  • Chapter 4: Integration
    • 4.1: Antiderivatives (18)
    • 4.2: Sums and Sigma Notation (1)
    • 4.3: Area (5)
    • 4.4: The Definite Integral (15)
    • 4.5: The Fundamental Theorem of Calculus (34)
    • 4.6: Integration by Substitution (18)
    • 4.7: Numerical Integration (12)

  • Chapter 5: Applications of the Definite Integral
    • 5.1: Area Between Curves (13)
    • 5.2: Volumes by Cross-Sections (20)
    • 5.3: Volumes by Cylindrical Shells (15)
    • 5.4: Arc Length and Surface Area (20)
    • 5.5: Projectile Motion (5)
    • 5.6: Applications of Integration (15)

  • Chapter 6: Exponentials, Logarithms and Other Transcendental Functions
    • 6.1: The Natural Logarithm (40)
    • 6.2: Inverse Functions (7)
    • 6.3: The Exponential Function (24)
    • 6.4: The Inverse Trigonometric Functions (1)
    • 6.5: The Calculus of the Inverse Trigonometric Functions (4)
    • 6.6: The Hyperbolic Functions (12)

  • Chapter 7: Integration Techniques
    • 7.1: Review of Integration Techniques (2)
    • 7.2: Integration by Parts (25)
    • 7.3: Trigonometric Integration (43)
    • 7.4: Integration of Rational Functions Using Partial Fractions (23)
    • 7.5: Integration Tables and Computer Algebra Systems (12)
    • 7.6: Indeterminate Forms and L'Hopital's Rule (22)
    • 7.7: Improper Integrals (2)
    • 7.8: Probability (8)

  • Chapter 8: First-Order Differential Equations
    • 8.1: Introduction to Differential Equations: Growth and Decay, Newton's Law of Cooling, Compound Interest (4)
    • 8.2: Separable Differential Equations (5)
    • 8.3: Direction Fields and Euler's Method (1)
    • 8.4: Systems of First-Order Differential Equations

  • Chapter 9: Infinite Series
    • 9.1: Introduction to Sequences (26)
    • 9.2: Infinite Series (16)
    • 9.3: The Integral Test and Comparison Tests (34)
    • 9.4: Alternating Series (5)
    • 9.5: Absolute Convergence and the Ratio Test (49)
    • 9.6: Power Series (27)
    • 9.7: Taylor Series (14)
    • 9.8: Applications of Taylor Series (5)
    • 9.9: Fourier Series

  • Chapter 10: Parametric Equations and Polar Coordinates
    • 10.1: Plane Curves and Parametric Equations (15)
    • 10.2: Calculus and Parametric Equations (16)
    • 10.3: Arc Length and Surface Area (9)
    • 10.4: Polar Coordinates (21)
    • 10.5: Calculus and Polar Coordinates (20)
    • 10.6: Conic Sections (13)
    • 10.7: Conic Sections in Polar Coordinates (4)

  • Chapter 11: Vectors and the Geometry of Space
    • 11.1: Vectors in the Plane
    • 11.2: Vectors in Space
    • 11.3: The Dot Product
    • 11.4: The Cross Product
    • 11.5: Lines and Planes in Space
    • 11.6: Suraces in Space

  • Chapter 12: Vector-Valued Functions
    • 12.1: Vector-Valued Functions
    • 12.2: The Calculus of Vector-Valued Functions
    • 12.3: Motion in Space
    • 12.4: Curvature
    • 12.5: Tangent and Normal Vectors
    • 12.6: Parametric Surfaces

  • Chapter 13: Functions of Several Variables and Partial Differentiation
    • 13.1: Functions of Several Variables
    • 13.2: Limits and Continuity
    • 13.3: Partial Derivatives
    • 13.4: Tangent Planes and Linear Approximations
    • 13.5: The Chain Rule
    • 13.6: The Gradient and Directional Derivatives
    • 13.7: Extrema of Functions of Several Variables
    • 13.8: Constrained Optimization and Lagrange Multipliers

  • Chapter 14: Multiple Integrals
    • 14.1: Double Integrals
    • 14.2: Area, Volume and Center of Mass
    • 14.3: Double Integrals in Polar Coordinates
    • 14.4: Surface Area
    • 14.5: Triple Integrals
    • 14.6: Cylindrical Coordinates
    • 14.7: Spherical Coordinates
    • 14.8: Change of Variables in Multiple Integrals

  • Chapter 15: Vector Calculus
    • 15.1: Vector Fields
    • 15.2: Line Integrals
    • 15.3: Independence of Path an Conservation Vector Fields
    • 15.4: Green's Theorem
    • 15.5: Curl and Divergence
    • 15.6: Surface Integrals
    • 15.7: The Divergence Theorem
    • 15.8: Stokes' Theorem
    • 15.9: Application of Vector Calculus

  • Chapter 16: Second-Order Differential Equations
    • 16.1: Second-Order Equations with Constant Coefficients
    • 16.2: Nonhomogeneous Equations
    • 16.3: Applications of Second-Order Equations
    • 16.4: Power Series Solutions of Differential Equations

The WebAssign questions for this textbook are from an independent collection of questions developed by a team of experienced mathematics instructors. These class-tested and peer-reviewed questions, covering the main topics in calculus, have been correlated as closely as possible to the appropriate chapters in this textbook.

Question Collection Features:

  • Complete question coverage of all calculus concepts
  • Detailed worked-out solutions
  • Interactive Tutorials
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Question Group Key
Tutorial - Pop-up Tutorial
Tutorial.SA - Stand-alone Tutorial


Question Availability Color Key
BLACK questions are available now
GRAY questions are under development


Group Quantity Questions
Chapter 0: Preliminaries
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Chapter A: Algebra Review
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Chapter T: Trigonometry Review
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Chapter 1: Limits and Continuity
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Chapter 2: Differentiation
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Chapter 3: Applications of Differentiation
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Chapter 4: Integration
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4.7 12 501.XP 502.XP 503.XP.Tutorial 504.XP 505.XP 506.XP 507.XP 508.XP 509.XP 510.XP 511.XP 512.XP.Tutorial
Chapter 5: Applications of the Definite Integral
5.1 13 501.XP 502.XP.Tutorial 503.XP 504.XP.Tutorial 505.XP.Tutorial 506.XP 507.XP 508.XP 509.XP 510.XP 511.XP.Tutorial 512.XP.Tutorial 513.XP.Tutorial
5.2 20 501.XP 502.XP 503.XP 504.XP 505.XP 506.XP 507.XP 508.XP 509.XP 510.XP 511.XP.Tutorial 512.XP.Tutorial 513.XP.Tutorial 514.XP 515.XP 516.XP 517.XP.Tutorial 518.XP.Tutorial 519.XP.Tutorial 520.XP.Tutorial
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Chapter 6: Exponentials, Logarithms and Other Transcendental Functions
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Chapter 7: Integration Techniques
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7.4 23 501.XP 502.XP 503.XP 504.XP.Tutorial 505.XP 506.XP 507.XP 508.XP 509.XP 510.XP.Tutorial 511.XP 512.XP.Tutorial 513.XP 514.XP 515.XP 516.XP 517.XP 518.XP 519.XP 520.XP 521.XP 522.XP 523.XP.Tutorial
7.5 12 501.XP.Tutorial 502.XP 503.XP.Tutorial 504.XP 505.XP 506.XP 507.XP 508.XP.Tutorial 509.XP 510.XP 511.XP 512.XP
7.6 22 501.XP.Tutorial 502.XP 503.XP 504.XP 505.XP 506.XP 507.XP 508.XP 509.XP.Tutorial 510.XP 511.XP 512.XP 513.XP 514.XP 515.XP.Tutorial 516.XP 517.XP 518.XP.Tutorial 519.XP 520.XP 521.XP.Tutorial 522.XP.Tutorial
7.7 2 501.XP.Tutorial 502.XP.Tutorial
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Chapter 8: First-Order Differential Equations
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Chapter 9: Infinite Series
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Chapter 10: Parametric Equations and Polar Coordinates
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Chapter 11: Vectors and the Geometry of Space
11 0  
Chapter 12: Vector-Valued Functions
12 0  
Chapter 13: Functions of Several Variables and Partial Differentiation
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