Calculus I with Integrated Precalculus 1st edition

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Laura Taalman
Publisher: Macmillan Learning

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  • Chapter 0: Functions and Precalculus
    • 0.1: Numbers and Sets (20)
    • 0.2: Equations (20)
    • 0.3: Inequalities (20)
    • 0.4: Functions and Graphs (21)
    • 0.5: A Basic Library of Functions (20)
    • 0.6: Operations, Transformations, and Inverses (20)
    • 0.7: Logic and Mathematical Thinking (31)
    • 0: Chapter Review (8)
    • 0: Self-Test

  • Chapter 1: Limits
    • 1.1: An Intuitive Introduction to Limits (20)
    • 1.2: Formal Definition of a Limit (20)
    • 1.3: Delta-Epsilon Proofs (20)
    • 1.4: Continuity and Its Consequences (20)
    • 1.5: Limit Rules and Calculating Basic Limits (20)
    • 1.6: Infinite Limits and Indeterminate Forms (20)
    • 1: Chapter Review (8)
    • 1: Self-Test

  • Chapter 2: Derivatives
    • 2.1: An Intuitive Introduction to Derivatives (16)
    • 2.2: Formal Definition of the Derivative (27)
    • 2.3: Rules for Calculating Basic Derivatives (23)
    • 2.4: The Chain Rule and Implicit Differentiation (24)
    • 2: Chapter Review (8)
    • 2: Self-Test

  • Chapter 3: Applications of the Derivative
    • 3.1: The Mean Value Theorem (20)
    • 3.2: The First Derivative and Curve Sketching (20)
    • 3.3: The Second Derivative and Curve Sketching (19)
    • 3.4: Optimization (20)
    • 3.5: Related Rates (20)
    • 3: Chapter Review (8)
    • 3: Self-Test

  • Chapter 4: Calculus with Power, Polynomial, and Rational Functions
    • 4.1: Advanced Algebraic Techniques (20)
    • 4.2: Power Functions (16)
    • 4.3: Polynomial Functions (23)
    • 4.4: Rational Functions (20)
    • 4: Chapter Review (8)
    • 4: Self-Test

  • Chapter 5: Calculus with Exponential and Logarithmic Functions
    • 5.1: Defining Exponential and Logarithmic Functions (20)
    • 5.2: Limits of Exponential and Logarithmic Functions (20)
    • 5.3: Derivatives of Exponential and Logarithmic Functions (19)
    • 5.4: Applications of Exponential Functions (20)
    • 5.5: L'Hôpital's Rule (36)
    • 5: Chapter Review (8)
    • 5: Self-Test

  • Chapter 6: Calculus with Trigonometric and Inverse Trigonometric Functions
    • 6.1: Defining the Trigonometric Functions (20)
    • 6.2: Trigonometric Identities (20)
    • 6.3: Limits and Derivatives of Trigonometric Functions (22)
    • 6.4: Inverse Trigonometric Functions (20)
    • 6: Chapter Review (8)
    • 6: Self-Test

  • Chapter 7: Definite Integrals
    • 7.1: Addition and Accumulation (18)
    • 7.2: Riemann Sums (11)
    • 7.3: Definite Integrals (21)
    • 7.4: Indefinite Integrals (39)
    • 7.5: The Fundamental Theorem of Calculus (21)
    • 7.6: Areas and Average Values (20)
    • 7.7: Functions Defined by Integrals (8)
    • 7: Chapter Review (9)
    • 7: Self-Test

  • Chapter 8: Techniques of Integration
    • 8.1: Integration by Substitution (21)
    • 8.2: Integration by Parts (22)
    • 8.3: Partial Fractions and Other Algebraic Techniques (14)
    • 8.4: Trigonometric Integrals (20)
    • 8.5: Trigonometric Substitution (13)
    • 8.6: Improper Integrals (16)
    • 8.7: Numerical Integration (7)
    • 8: Chapter Review (9)
    • 8: Self-Test

  • Chapter 9: Applications of Integration
    • 9.1: Volumes by Slicing (19)
    • 9.2: Volumes by Shells (20)
    • 9.3: Arc Length and Surface Area (19)
    • 9.4: Real-World Applications of Integration (17)
    • 9.5: Differential Equations (20)
    • 9: Chapter Review (4)
    • 9: Self-Test


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Group Quantity Questions
Chapter 0: Functions and Precalculus
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0.6 20 001 024.Tutorial 030 031 032 033 034 035 067 069 071 072 073 074 075 076 078 079 080 084
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Chapter 1: Limits
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Chapter 2: Derivatives
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2.4 24 001 010 016 020 021 022 024 026 031 034 035 036 044 050 056 060 063 064 065 066 069 070 071 084
Chapter 3: Applications of the Derivative
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Chapter 4: Calculus with Power, Polynomial, and Rational Functions
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Chapter 5: Calculus with Exponential and Logarithmic Functions
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Chapter 6: Calculus with Trigonometric and Inverse Trigonometric Functions
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6.4 20 001 004 024 029 030 031 032 038 042 048 054 060 064 072 074 080 084 088 089 090
Chapter 7: Definite Integrals
7.R 9 005 017 018 020 028 029 030 032 033
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Chapter 8: Techniques of Integration
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Chapter 9: Applications of Integration
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9.5 20 019 020 021 022 023 024 029 030 032 033 034 035 036 037 041 042 045 049 050 051
Total 1161