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- Chapter 1: A Library of Functions
- 1.1: Functions and Change (15)
- 1.2: Exponential Functions (18)
- 1.3: New Functions From Old (14)
- 1.4: Logarithmic Functions (22)
- 1.5: Trigonometric Functions (20)
- 1.6: Powers, Polynomials, and Rational Functions (13)
- 1.7: Introduction to Continuity (6)
- 1.8: Limits (18)
- Chapter 2: Key Concept: The Derivative
- 2.1: How do we Measure Speed? (13)
- 2.2: The Derivative at a Point (18)
- 2.3: The Derivative Function (15)
- 2.4: Interpretations of the Derivative (9)
- 2.5: The Second Derivative (11)
- 2.6: Differentiability (8)
- Chapter 3: Short-Cuts to Differentiation
- 3.1: Powers and Polynomials (19)
- 3.2: The Exponential Function (14)
- 3.3: The Product and Quotient Rules (15)
- 3.4: The Chain Rule (13)
- 3.5: The Trigonometric Functions (10)
- 3.6: The Chain Rule and Inverse Functions (14)
- 3.7: Implicit Functions (10)
- 3.8: Hyperbolic Functions
- 3.9: Linear Approximation and the Derivative (7)
- 3.10: Theorems about Differentiable Functions
- Chapter 4: Using the Derivative
- 4.1: Using First and Second Derivatives (11)
- 4.2: Families of Curves (7)
- 4.3: Optimization (16)
- 4.4: Applications to Marginality (7)
- 4.5: Optimization and Modeling (17)
- 4.6: Rates and Related Rates (7)
- 4.7: L'Hopital's Rule, Growth, and Dominance
- 4.8: Parametric Equations
- Chapter 5: Key Concept: The Definite Integral
- 5.1: How do we Measure Distance Traveled? (9)
- 5.2: The Definite Integral (13)
- 5.3: The Fundamental Theorem and Interpretations (14)
- 5.4: Theorems about Definite Integrals (18)
- Chapter 6: Constructing Antiderivatives
- 6.1: Antiderivatives Graphically and Numerically (14)
- 6.2: Constructing Antiderivatives Analytically (25)
- 6.3: Differential Equations
- 6.4: Second Fundamental Theorem of Calculus (10)
- 6.5: The Equations of Motion
- Chapter 7: Integration
- 7.1: Integration by Substitution (28)
- 7.2: Integration by Parts (23)
- 7.3: Tables of Integrals (1)
- 7.4: Algebraic Identities and Trigonometric Substitutions
- 7.5: Approximating Definite Integrals (14)
- 7.6: Approximation Errors and Simpson's Rule (1)
- 7.7: Improper Integrals (19)
- Chapter 8: Using the Definite Integral
- 8.1: Areas and Volumes (17)
- 8.2: Applications to Geometry (21)
- 8.3: Area and Arc Length in Polar Coordinates (4)
- 8.4: Density and Center of Mass (3)
- 8.5: Applications to Physics (14)
- 8.6: Applications to Economics (8)
- 8.7: Distribution Functions
- 8.8: Probability, Mean, and Median
- Chapter 9: Sequences and Series
- 9.1: Sequences (7)
- 9.2: Geometric Series (21)
- 9.3: Convergence of Series (7)
- 9.4: Tests for Convergence (14)
- 9.5: Power Series and Interval of Convergence (12)
- 9: Review Problems (1)
- Chapter 10: Approximating Functions Using Series
- 10.1: Taylor Polynomials (17)
- 10.2: Taylor Series (15)
- 10.3: Finding and Using Taylor Series (7)
- 10.4: The Error in Taylor Polynomial Approximations
- 10.5: Fourier Series
- Chapter 11: Differential Equations
- 11.1: What is a Differential Equation? (3)
- 11.2: Slope Fields (5)
- 11.3: Euler's Method (5)
- 11.4: Separation of Variables (26)
- 11.5: Growth and Decay (17)
- 11.6: Applications and Modeling (11)
- 11.7: Models of Population Growth (8)
- 11.8: Systems of Differential Growth
- 11.9: Analyzing the Phase Plane
- 11.10: Second-Order Differential Equations: Oscillations
- 11.11: Linear Second-Order Differential Equations
- 11: Review Problems (5)
- Chapter 12: Functions of Several Variables
- 12.1: Functions of Two Variables (4)
- 12.2: Graphs of Functions of Two Variables (3)
- 12.3: Contour Diagrams (4)
- 12.4: Linear Functions (6)
- 12.5: Functions of Three Variables
- 12.6: Limits and Continuity
- Chapter 13: A Fundamental Tool: Vectors
- 13.1: Displacement Vectors (21)
- 13.2: Vectors in General (18)
- 13.3: The Dot Product (17)
- 13.4: The Cross Product (3)
- 13: Review Problems (3)
- Chapter 14: Differentiating Functions of Several Variables
- 14.1: The Partial Derivative (1)
- 14.2: Computing Partial Derivatives Algebraically (4)
- 14.3: Local Linearity and the Differential (2)
- 14.4: Gradients and Directional Derivatives in the Plane (5)
- 14.5: Gradients and Directional Derivatives in Space (4)
- 14.6: The Chain Rule (4)
- 14.7: Second-Order Partial Derivatives (4)
- 14.8: Differentiability
- Chapter 15: Optimization: Local and Global Extrema
- 15.1: Local Extrema (2)
- 15.2: Optimization (4)
- 15.3: Constrained Optimization: Lagrange Multipliers (4)
- Chapter 16: Integrating Functions of Several Variables
- 16.1: The Definite Integral of a Function of Two Variables
- 16.2: Iterated Integrals (8)
- 16.3: Triple Integrals (3)
- 16.4: Double Integrals in Polar Coordinates (3)
- 16.5: Integrals in Cylindrical and Spherical Coordinates (5)
- 16.6: Applications of Integration to Probability
- 16.7: Change of Variables in a Multiple Integral
- Chapter 17: Parameterization and Vector Fields
- 17.1: Parameterized Curves (9)
- 17.2: Motion, Velocity, and Acceleration (4)
- 17.3: Vector Fields
- 17.4: The Flow of a Vector Field
- 17.5: Parameterized Surfaces
- Chapter 18: Line Integrals
- 18.1: The Idea of a Line Integral (4)
- 18.2: Computing Line Integrals Over Parameterized Curves (2)
- 18.3: Gradient Fields and Path-Independent Fields (4)
- 18.4: Path-Dependent Vector Fields and Green's Theorem (3)
- Chapter 19: Flux Integrals
- 19.1: The Idea of a Flux Integral (3)
- 19.2: Flux Integrals for Graphs, Cylinders, and Spheres
- 19.3: Flux Integrals Over Parameterized Surfaces
- Chapter 20: Calculus of Vector Fields
- 20.1: The Divergence of a Vector Field (2)
- 20.2: The Divergence Theorem (2)
- 20.3: The Curl of a Vector Field (3)
- 20.4: Stokes' Theorem (2)
- 20.5: The Three Fundamental Theorems
Questions Available within WebAssign
Most questions from this textbook are available in WebAssign. The online questions are identical to the textbook questions except for minor wording changes necessary for Web use. Whenever possible, variables, numbers, or words have been randomized so that each student receives a unique version of the question. This list is updated nightly.
Question Group Key
| Review |
Question Availability Color Key
| BLACK questions are available now |
| BOLD ORANGE questions are under development |
| Group | Quantity | Questions |
|---|---|---|
| Chapter 1: A Library of Functions | ||
| 1.1 | 15 | 006 011 012 013 015 016 020 022 023 029 030 033 034 035 038 |
| 1.2 | 18 | 003 004 006 011 012 014 018 019 023 024 028 029 034 035 036 037 038 039 |
| 1.3 | 14 | 015 016 018 026 028 030 038 039 040 044 049 050 051 052 |
| 1.4 | 22 | 002 004 006 010 013 014 015 017 023 025 026 027 029 031 032 033 034 035 036 037 039 040 |
| 1.5 | 20 | 001 002 004 006 008 010 012 013 014 018 020 021 028 030 035 037 038 040 041 044 |
| 1.6 | 13 | 001 003 004 005 006 007 009 014 016 017 018 021 029 |
| 1.7 | 6 | 002 004 006 008 017 019 |
| 1.8 | 18 | 001 002 008 010 014 017 018 019 020 021 029 030 032 034 036 038 039 046 |
| Chapter 2: Key Concept: The Derivative | ||
| 2.1 | 13 | 002 003 004 005 006 007 008 009 010 014 015 017 018 |
| 2.2 | 18 | 001 002 003 007 010 011 012 013 015 016 020 024 025 028 033 034 039 040 |
| 2.3 | 15 | 002 004 006 008 010 012 014 016 021 022 033 035 037 038 042 |
| 2.4 | 9 | 002 004 006 007 008 010 014 015 021 |
| 2.5 | 11 | 001 002 003 007 009 011 012 013 014 021 022 |
| 2.6 | 8 | 001 002 004 005 006 007 008 015 |
| Chapter 3: Short-Cuts to Differentiation | ||
| 3.1 | 19 | 002 008 010 016 020 024 027 028 035 042 047 053 054 057 058 059 062 063 064 |
| 3.2 | 14 | 002 004 011 012 013 016 020 023 026 036 037 038 041 042 |
| 3.3 | 15 | 004 006 007 011 012 014 018 022 026 040 044 045 050 051 055 |
| 3.4 | 13 | 005 006 011 012 029 032 035 041 048 068 078 080 082 |
| 3.5 | 10 | 004 008 010 016 018 022 026 035 045 046 |
| 3.6 | 14 | 002 004 006 010 012 020 043 052 053 054 055 056 058 059 |
| 3.7 | 10 | 002 006 008 010 012 019 022 023 028 030 |
| 3.9 | 7 | 002 004 006 008 012 022 024 |
| Chapter 4: Using the Derivative | ||
| 4.1 | 11 | 004 005 006 007 018 019 027 036 038 040 044 |
| 4.2 | 7 | 006 010 011 012 013 014 022 |
| 4.3 | 16 | 002 005 006 013 014 015 017 018 019 020 021 022 023 024 030 032 |
| 4.4 | 7 | 002 004 006 015 017 021 022 |
| 4.5 | 17 | 004 011 012 016 017 018 019 020 021 022 023 025 027 028 032 033 034 |
| 4.6 | 7 | 002 004 006 008 010 020 022 |
| Chapter 5: Key Concept: The Definite Integral | ||
| 5.1 | 9 | 001 002 006 007 015 016 022 025 026 |
| 5.2 | 13 | 001 002 003 008 009 012 018 020 020.alt 025 027 028 029 |
| 5.3 | 14 | 002 006 009 010 011 013 015 016 017 022 030 033 034 036 |
| 5.4 | 18 | 002 008 009 015 016 017 018 019 022 030 031 034 035 036 037 038 040 042 |
| Chapter 6: Constructing Antiderivatives | ||
| 6.1 | 14 | 001 004 005 008 009 010 011 013 014 015 017 018 019 023 |
| 6.2 | 25 | 001 003 005 010 015 016 020 021 028 032 039 040 047 050 052 058 062 063 064 066 070 072 077 086 087 |
| 6.4 | 10 | 004 006 008 012 016 018 019 022 035 036 |
| Chapter 7: Integration | ||
| 7.1 | 28 | 002 003 006 010 016 018 020 021 022 023 024 027 031 032 035 037 045 050 054 055 056 060 063 075 080 083 087 088 |
| 7.2 | 23 | 002 007 008 009 012 013 015 017 018 019 022 027 031 033 038 039 040 042 048 052 053 054 056 |
| 7.3 | 1 | 047 |
| 7.5 | 14 | 001 002 003 004 006 007 009 010 012 015 016 017 018 023 |
| 7.6 | 1 | 005.alt |
| 7.7 | 19 | 001 003 004 005 006 007 008 010 011 012 019 023 026 030 033 034 035 036 044 |
| Chapter 8: Using the Definite Integral | ||
| 8.1 | 17 | 002 02 003 004 007 008 010 012 013 014 015 017 019 020 024 026 028 |
| 8.2 | 21 | 001 004 005 006 007 010 011 012 012.alt 015 016 017 019 021 022 023 024 033 034 035 037 |
| 8.3 | 4 | 004 008 016 018 |
| 8.4 | 3 | 009 012 013 |
| 8.5 | 14 | 002 003 005 006 008 009 014 015 016 023 024 025 026 031 |
| 8.6 | 8 | 001 004 006 007 010 011 013 015 |
| Chapter 9: Sequences and Series | ||
| R | 1 | 061 |
| 9.1 | 7 | 006 008 016 017 026 042 043 |
| 9.2 | 21 | 001 002 003 004 005 006 007 008 009 010 011 012 018 019 020 021 024 025 026 028 031 |
| 9.3 | 7 | 001 002 003 011 016 017 018 |
| 9.4 | 14 | 001 002 004 005 006 007 011 012 015 021 024 042 044 046 |
| 9.5 | 12 | 001-4 005 008 009 012 014 016 017 020 022 024 025 |
| Chapter 10: Approximating Functions Using Series | ||
| 10.1 | 17 | 001 002 003 004 005 006 011 012 014 017 018 019 020 022 023 026 036 |
| 10.2 | 15 | 005 006 007 009 010 013 014 017 020 023 024 026 031 033 035 |
| 10.3 | 7 | 001 006 008 012 013 026 029 |
| Chapter 11: Differential Equations | ||
| R | 5 | 001 014 019 032 033 |
| 11.1 | 3 | 001 006 016 |
| 11.2 | 5 | 003 004 005 008 010 |
| 11.3 | 5 | 001 004 005 006 009 |
| 11.4 | 26 | 002 003 004 005 006 008 010 016 018 019 020 021 024 026 027 028 030 030.alt 036 036.alt 039 041 041.alt 044 044.alt 046 |
| 11.5 | 17 | 001 002 003 004 005 008 010 011 012 012.alt 013 014 019 020 021 021.alt 022 |
| 11.6 | 11 | 002 003 003.alt 004 007 009 013 014 016 019 024 |
| 11.7 | 8 | 001 002 003 006 008 009 010 013 |
| Chapter 12: Functions of Several Variables | ||
| 12.1 | 4 | 002 006 007 029 |
| 12.2 | 3 | 002 011 014 |
| 12.3 | 4 | 017 020 022 024 |
| 12.4 | 6 | 002 004 005 012 013 017 |
| Chapter 13: A Fundamental Tool: Vectors | ||
| R | 3 | 004 008 026 |
| 13.1 | 21 | 003 004 005 006 008 011 012 014 015 016 018 021 022 023 025 026 027 028 029 030 034 |
| 13.2 | 18 | 001 002 003 004 005 006 007 008 009 012 013 014 015 016 018 020 021 023 |
| 13.3 | 17 | 002 004 007 009 010 016 017 018 022 025 026 030 032 033 034 035 036 |
| 13.4 | 3 | 004 016 020 |
| Chapter 14: Differentiating Functions of Several Variables | ||
| 14.1 | 1 | 002 |
| 14.2 | 4 | 001 003 019 028 |
| 14.3 | 2 | 003 018 |
| 14.4 | 5 | 022 025 033 054 067 |
| 14.5 | 4 | 008 011 014 022 |
| 14.6 | 4 | 001 004 010 020 |
| 14.7 | 4 | 001 008 027 035 |
| Chapter 15: Optimization: Local and Global Extrema | ||
| 15.1 | 2 | 008 014 |
| 15.2 | 4 | 018 019 021 023 |
| 15.3 | 4 | 003 005 010 015 |
| Chapter 16: Integrating Functions of Several Variables | ||
| 16.2 | 8 | 001 002 007 020 022 041 042 044 |
| 16.3 | 3 | 003 019 047 |
| 16.4 | 3 | 003 013 018 |
| 16.5 | 5 | 002-3 004-5 020 022-23 028 |
| Chapter 17: Parameterization and Vector Fields | ||
| 17.1 | 9 | 003 010 014 018 021 035 038 039 048 |
| 17.2 | 4 | 001 003 005 011 |
| Chapter 18: Line Integrals | ||
| 18.1 | 4 | 006 010 015 031 |
| 18.2 | 2 | 014 016 |
| 18.3 | 4 | 011 012 022 027 |
| 18.4 | 3 | 001 011 017 |
| Chapter 19: Flux Integrals | ||
| 19.1 | 3 | 006 009 025 |
| Chapter 20: Calculus of Vector Fields | ||
| 20.1 | 2 | 002 007 |
| 20.2 | 2 | 015 018 |
| 20.3 | 3 | 007 008 022 |
| 20.4 | 2 | 004 023 |
| Total | 974 | |