Calculus: Tutorial Bank (Early Transcendentals) 1st edition

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  • Chapter 1: Limits and Continuity
    • 1.1: Introduction to Limits
    • 1.2: Evaluating Limits Using Limit Laws
    • 1.3: Continuity
    • 1.4: Evaluating Limits at Infinity
    • 1.5: The Precise Definition of a Limit

  • Chapter 2: Differentiation
    • 2.1: Rates of Change: Secant Lines and Tangent Lines
    • 2.2: The Definition of the Derivative
    • 2.3: Power and Sum Rules
    • 2.4: Product and Quotient Rules
    • 2.5: Derivatives of Trigonometric Functions
    • 2.6: The Chain Rule
    • 2.7: Implicit Differentiation
    • 2.8: Logarithmic Differentiation
    • 2.9: Derivatives of Hyperbolic and Inverse Trigonometric Functions

  • Chapter 3: Applications of Differentiation
    • 3.1: Linearization and Differentials
    • 3.2: Extreme Values of a Function
    • 3.3: Mean Value Theorem
    • 3.4: First and Second Derivative Tests
    • 3.5: Curve Sketching
    • 3.6: Optimization
    • 3.7: Related Rates
    • 3.8: Indeterminate Forms and L'Hospital's Rule
    • 3.9: Newton's Method

  • Chapter 4: Integration
    • 4.1: Antiderivatives
    • 4.2: The Indefinite Integral
    • 4.3: The Area Under a Curve and Riemann Sums
    • 4.4: The Definite Integral
    • 4.5: The Fundamental Theorem of Calculus

  • Chapter 5: Integration Techniques
    • 5.1: The Substitution Method
    • 5.2: Integration by Parts
    • 5.3: Trigonometric Integrals
    • 5.4: Trigonometric Substitution
    • 5.5: Partial Fractions
    • 5.6: Integration by Tables and Computer Systems
    • 5.7: Improper Integrals
    • 5.8: Numeric Integration

  • Chapter 6: Applications of Integration
    • 6.1: Areas Between Curves
    • 6.2: Volumes of Solids by Slicing
    • 6.3: Volumes of Revolution: The Disk and Washer Methods
    • 6.4: Volumes of Revolution: The Shell Method
    • 6.5: Arc Length and Areas of Surfaces of Revolution
    • 6.6: Average Value of a Function
    • 6.7: Work and Fluid Force
    • 6.8: Moments and Center of Mass
    • 6.9: Probability and Random Variables
    • 6.10: Economics

  • Chapter 7: Differential Equations
    • 7.1: Introduction to Differential Equations
    • 7.2: Direction Fields and Euler's Method
    • 7.3: Separable Equations
    • 7.4: Exponential Growth and Decay
    • 7.5: The Logistic Equation
    • 7.6: First-Order Linear Equations

  • Chapter 8: Sequences and Series
    • 8.1: Sequences
    • 8.2: Series
    • 8.3: The Integral Test
    • 8.4: The Comparison Tests
    • 8.5: Alternating Series, Absolute Convergence, and Conditional Convergence
    • 8.6: The Ratio and Root Tests
    • 8.7: Power Series
    • 8.8: Representing Functions as Power Series
    • 8.9: Taylor and Maclaurin Series

  • Chapter 9: Parametric Equations and Polar Coordinates
    • 9.1: Parametric Equations
    • 9.2: The Calculus of Parametric Equations
    • 9.3: Polar Coordinates
    • 9.4: Calculus in Polar Coordinates

  • Chapter 10: Conic Sections
    • 10.1: Introduction to Conic Sections
    • 10.2: Parametrized Conic Sections
    • 10.3: Conic Sections in Polar Coordinates

  • Chapter 11: Vectors
    • 11.1: Three-Dimensional Coordinate Systems
    • 11.2: Vectors
    • 11.3: The Dot Product
    • 11.4: The Cross Product
    • 11.5: Lines and Planes in Space
    • 11.6: Surfaces in Space

  • Chapter 12: Vector-Valued Functions
    • 12.1: Vector-Valued Functions and Space Curves
    • 12.2: Calculus of Vector-Valued Functions
    • 12.3: Arc Length and Curvature
    • 12.4: Velocity and Acceleration

  • Chapter 13: Partial Derivatives
    • 13.1: Multivariable Functions
    • 13.2: Limits and Continuity
    • 13.3: Partial Derivatives
    • 13.4: The Chain Rule
    • 13.5: Tangent Planes and Differentials
    • 13.6: Directional Derivatives and Gradients
    • 13.7: Extrema of Multivariable Functions
    • 13.8: Lagrange Multipliers

  • Chapter 14: Multiple Integration
    • 14.1: Double Integrals over Rectangles
    • 14.2: Iterated Integrals
    • 14.3: Double Integrals over General Regions
    • 14.4: Double Integrals in Polar Coordinates
    • 14.5: Applications of Double Integrals
    • 14.6: Triple Integrals in Rectangular Coordinates
    • 14.7: Triple Integrals in Other Coordinate Systems
    • 14.8: Change of Variables in Multiple Integrals

  • Chapter 15: Vector Calculus
    • 15.1: Vector Fields
    • 15.2: Line Integrals
    • 15.3: Path Independence and Conservative Vector Fields
    • 15.4: Green's Theorem
    • 15.5: Parametric Surfaces and Areas
    • 15.6: Surface Integrals
    • 15.7: Curl and Divergence
    • 15.8: Stokes's Theorem
    • 15.9: The Divergence Theorem

  • Chapter 16: Second-Order Differential Equations
    • 16.1: Second-Order Linear Homogeneous Equations
    • 16.2: Second-Order Linear Nonhomogeneous Equations
    • 16.3: Applications of Second-Order Differential Equations
    • 16.4: Infinite Series and Differential Equations

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Group Quantity Questions
Chapter 1: Limits and Continuity
1 0  
Chapter 2: Differentiation
2 0  
Chapter 3: Applications of Differentiation
3 0  
Chapter 4: Integration
4 0  
Chapter 5: Integration Techniques
5 0  
Chapter 6: Applications of Integration
6 0  
Chapter 7: Differential Equations
7 0  
Chapter 8: Sequences and Series
8 0  
Chapter 9: Parametric Equations and Polar Coordinates
9 0  
Chapter 10: Conic Sections
10 0  
Chapter 11: Vectors
11 0  
Chapter 12: Vector-Valued Functions
12 0  
Chapter 13: Partial Derivatives
13 0  
Chapter 14: Multiple Integration
14 0  
Chapter 15: Vector Calculus
15 0  
Chapter 16: Second-Order Differential Equations
16 0  
Total 0