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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8.5 13 043 044 046 047 053 054 055 056 058 061 062 069 071
8.6 16 021 022 023 024 033 035 037 040.Tutorial 042 045 047 049 052 055 058 061
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Chapter 9: Applications of Integration
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9.3 19 021 022 027 028 031 032 033 037 038 039 040 041 043.Tutorial 044 063 066 067 068 071
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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