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Concept Tests for Calculus: Single Variable 8th Edition, Hughes-Hallett et al.

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Chapter 1 ConceptTests - Foundation for Calculus: Functions and Limits

• Sec.1-1 Functions and Change (and solutions)
• Sec.1-2 Exponential Functions (and solutions)
• Sec.1-3 New Functions from Old (and solutions)
• Sec.1-4 Logarithmic Functions (and solutions)
• Sec.1-5 Trigonometric Functions (and solutions)
• Sec.1-6 Powers, Polynomials, and Rational Functions (and solutions)
• Sec.1-7 Introduction to Limits and Continuity (and solutions)
• Sec.1-8 Extending the Idea of a Limit (and solutions)
• Sec.1-9 Further Limit Calculations using Algebra (and solutions)
• Sec.1-10 Optional Preview of the Formal Definition of a Limit (and solutions)

Chapter 2 ConceptTests - Key Concept: The Derivative

• Sec.2-1 How Do We Measure Speed? (and solutions)
• Sec.2-2 The Derivative at a Point (and solutions)
• Sec.2-3 The Derivative Function (and solutions)
• Sec.2-4 Interpretations of the Derivative (and solutions)
• Sec.2-5 The Second Derivative (and solutions)
• Sec.2-6 Differentiability (and solutions)

Chapter 3 ConceptTests - Short-cuts to Differentiation

• Sec.3-1 Powers and Polynomials (and solutions)
• Sec.3-2 The Exponential Function (and solutions)
• Sec.3-3 The Product and Quotient Rules (and solutions)
• Sec.3-4 The Chain Rule (and solutions)
• Sec.3-5 The Trigonometric Functions (and solutions)
• Sec.3-6 The Chain Rule and Inverse Functions (and solutions)
• Sec.3-7 Implicit Functions (and solutions)
• Sec.3-8 Hyperbolic Functions (and solutions)
• Sec.3-9 Linear Approximation and the Derivative (and solutions)
• Sec.3-10 Theorems About Differentiable Functions (and solutions)

Chapter 4 ConceptTests - Using the Derivative

• Sec.4-1 Using First and Second Derivatives (and solutions)
• Sec.4-2 Optimization (and solutions)
• Sec.4-3 Optimization and Modeling (and solutions)
• Sec.4-4 Families of Functions and Modeling (and solutions)
• Sec.4-5 Applications to Marginality (and solutions)
• Sec.4-6 Rates and Related Rates (and solutions)
• Sec.4-7 L’Hopital’s Rule, Growth, and Dominance (and solutions)
• Sec.4-8 Parametric Equations (and solutions)

Chapter 5 ConceptTests - Key Concept: The Definite Integral

• Sec.5-1 How Do We Measure Distance Traveled? (and solutions)
• Sec.5-2 The Definite Integral (and solutions)
• Sec.5-3 The Fundamental Theorem and Interpretations (and solutions)
• Sec.5-4 Theorems About Definite Integrals (and solutions)

Chapter 6 ConceptTests - Constructing Antiderivatives

• Sec.6-1 Antiderivatives Graphically and Numerically (and solutions)
• Sec.6-2 Constructing Antiderivatives Analytically (and solutions)
• Sec.6-3 Differential Equations and Motion (and solutions)
• Sec.6-4 Second Fundamental Theorem of Calculus (and solutions)

Chapter 7 ConceptTests - Integration

• Sec.7-1 Integration by Substitution (and solutions)
• Sec.7-2 Integration by Parts (and solutions)
• Sec.7-3 Tables of Integrals (and solutions)
• Sec.7-4 Algebraic Identities and Trigonometric Substitutions (and solutions)
• Sec.7-5 Numerical Methods for Definite Integrals (and solutions)
• Sec.7-6 Improper Integrals (and solutions)
• Sec.7-7 Comparison of Improper Integrals (and solutions)

Chapter 8 ConceptTests - Using the Definite Integral

• Sec.8-1 Areas and Volumes (and solutions)
• Sec.8-2 Applications to Geometry (and solutions)
• Sec.8-3 Area and Arc Length in Polar Coordinates (and solutions)
• Sec.8-4 Density and Center of Mass (and solutions)
• Sec.8-5 Applications to Physics (and solutions)
• Sec.8-6 Applications to Economics (and solutions)
• Sec.8-7 Distribution Functions (and solutions)
• Sec.8-8 Probability, Mean, and Median (and solutions)

Chapter 9 ConceptTests - Sequences and Series

• Sec.9-1 Sequences (and solutions)
• Sec.9-2 Geometric Series (and solutions)
• Sec.9-3 Convergence of Series (and solutions)
• Sec.9-4 Tests for Convergence (and solutions)
• Sec.9-5 Power Series and Interval of Convergence (and solutions)

Chapter 10 ConceptTests - Approximating Functions Using Series

• Sec.10-1 Taylor Polynomials (and solutions)
• Sec.10-2 Taylor Series (and solutions)
• Sec.10-3 Finding and Using Taylor Series (and solutions)
• Sec.10-4 The Error in Taylor Polynomial Approximations (and solutions)
• Sec.10-5 Fourier Series (and solutions)

Chapter 11 ConceptTests - Differential Equations

• Sec.11-1 What Is a Differential Equation? (and solutions)
• Sec.11-2 Slope Fields (and solutions)
• Sec.11-3 Euler’s Method (and solutions)
• Sec.11-4 Separation of Variables (and solutions)
• Sec.11-5 Growth and Decay (and solutions)
• Sec.11-6 Applications and Modeling (and solutions)
• Sec.11-7 The Logistic Model (and solutions)
• Sec.11-8 Systems of Differential Equations (and solutions)
• Sec.11-9 Analyzing the Phase Plane (and solutions)
• Sec.11-10 Second-Order Differential Equations: Oscillations (and solutions)
• Sec.11-11 Linear Second-Order Differential Equations (and solutions)

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