Single Variable Calculus: Early Transcendentals
4th Edition, 2018
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Chapter A: Intervals, Inequalities, and Absolute Values
Chapter B: Coordinate Geometry
Chapter C: Trigonometry
Chapter D: Precise Definitions of Limits
Chapter F: Sigma Notation
Chapter G: Integration of Rational Function by Partial Functions
Chapter H: Ploar Coordinates
Chapter I: Complex Numbers
Chapter 1: Functions and Models
Section 1.1: Four Ways to Represent a Function
Section 1.2: Mathematical Models: A Catalog of Essential Functions
Section 1.3: New Functions from Old Functions
Section 1.4: Graphing Calculators and Computers
Section 1.5: Exponential Functions
Section 1.6: Inverse Functions and Logarithms
Section: Principles of Problem Solving
Section: 1.7 parametric curves
Section: Review Concept Check
Section: Review True-False Quiz
Section: Review Exercises
Chapter 2: Limits and Derivatives
Section: Review Concept Check
Section: Focus on Problem Solving
Section: Review Exercises
Section 2.1: The Tangent and Velocity Problems
Section 2.2: The Limit of a Function
Section 2.3: Calculating limits using limit laws
Section 2.4: Continuity
Section 2.5: Limits involving infinity
Section 2.6: Derivatives and Rates of Change
Section 2.7: The Derivative As a Function
Section 2.8: What Does f' say About f ?
Section: Review
Chapter 3: Differentiation Rules
Section: Review Exercises
Section: 3.1 Derivatives of Polynomials and Exponential Functions
Section: 3.4 The Chain Rule
Section: 3.1
Section: Derivatives of Polynomials and Exponential Functions
Section 3.2: The Product and Quotient Rules
Section 3.3: Derivatives of Trigonometric Functions
Section 3.4: The Chain Rule
Section 3.5: Implicit differentiation
Section 3.6: Inverse Trigonometric Function and Their Derivatives
Section 3.7: Derivatives of Logarithmic Functions
Section 3.8: Rates of Change in the Natural and Social Sciences
Section 3.9: Linear Approximations and Differentials
Section: Review
Chapter 3: (differentiation rule)
Section 3.9: Linear Approximations And Differentials
Chapter 4: Applications of Differentiation
Section: Exercises
Section 4.1: Related Rates
Section 4.2: Maximum and Minimum Values
Section 4.3: Derivatives and Shapes of Curves
Section 4.4: Graphing with Calculus and Calculators
Section 4.5: Indeterminate Forms and I' Hospital's Rule
Section 4.6: Optimization Problems
Section 4.7: Newton's Method
Section 4.8: Antiderivatives
Section: Review
Section: Focus on Problem Solving
Chapter 5: Integrals
Chapter 6: Application of Integration
Section: Review Exercises
Section 6.1: More About Areas
Section 6.2: Volumes
Section 6.3: Volumes by Cylindrical Shells
Section 6.4: Arc Length
Section 6.5: Average Value of a Function
Section 6.6: Applications to Physics and Engineering
Section 6.7: Applications to Economics and Biology
Section 6.8: Probability
Section: Focus on Problem Solving
Section: Review
Chapter 7: Differential Equations
Section 7.1: Modeling with Differential Equations
Section 7.2: Direction Fields and Euler's Method
Section 7.3: Separable Equations
Section 7.4: Exponential Growth and Decay
Section 7.5: The Logistic Equation
Section 7.6: Predator-Pray Systems
Section: Review
Section: Focus on Problem Solving
Chapter 8: Infinite Sequences and Series
Section 8.1: Sequences
Section 8.2: Series
Section 8.3: The Integral and comparison Tests; Estimating Sums
Section 8.4: Other Convergence Tests
Section 8.5: Power Series
Section 8.6: Representations of Functions as Power Series
Section 8.7: Taylor and Maclaurin Series