Calculus Concepts: An Informal Approach to the Mathematics of Change 5th edition

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Donald R. LaTorre, John W. Kenelly, Iris B. Reed, Laurel R. Carpenter, Cynthia R. Harris, Sherry Biggers
Publisher: Cengage Learning

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  • Chapter 1: Ingredients of Change: Functions an Limits
    • 1.1: Functions: Four Representations (12)
    • 1.2: Function Behavior and End Behavior Limits (13)
    • 1.3: Limits and Continuity (13)
    • 1.4: Linear Functions and Models (15)
    • 1.5: Exponential Functions and Models (18)
    • 1.6: Models in Finance (10)
    • 1.7: Constructed Functions (17)
    • 1.8: Logarithmic Functions and Models (11)
    • 1.9: Quadratic Functions and Models (7)
    • 1.10: Logistic Functions and Models (10)
    • 1.11: Cubic Functions and Models (8)
    • 1.12: Cyclic Functions and Models (13)
    • 1: Review Activities (11)

  • Chapter 2: Describing Change: Rates
    • 2.1: Measures of Change over an Interval (15)
    • 2.2: Measures of Change at a Point—Graphical (14)
    • 2.3: Rates of Change—Notation and Interpretation (15)
    • 2.4: Rates of Change—Numerical Limits and Nonexistence (16)
    • 2.5: Rates of Change Defined over Intervals (8)
    • 2.6: Rate–of–Change Graphs (15)
    • 2: Review Activities (18)

  • Chapter 3: Determining Change: Derivatives
    • 3.1: Simple Rate–of–Change Formulas (19)
    • 3.2: Exponential, Logarithmic, and Cyclic Rate–of–Change Formulas (14)
    • 3.3: Rates of Change for Functions That Can Be Composed (14)
    • 3.4: Rates of Change of Composite Functions (19)
    • 3.5: Rates of Change for Functions That Can Be Multiplied (12)
    • 3.6: Rates of Change of Product Functions (14)
    • 3.7: Limits of Quotients and L'Hôpital's Rule (9)
    • 3: Review Activities (8)

  • Chapter 4: Analyzing Change: Applications of Derivatives
    • 4.1: Linearization and Estimates (14)
    • 4.2: Relative Extreme Points (15)
    • 4.3: Absolute Extreme Points (14)
    • 4.4: Inflection Points and Second Derivatives (20)
    • 4.5: Marginal Analysis (10)
    • 4.6: Optimization of Constructed Functions (6)
    • 4.7: Related Rates (7)
    • 4: Review Activities (18)

  • Chapter 5: Accumulating Change: Limits of Sums and the Definite Integral
    • 5.1: An Introduction to Results of Change (15)
    • 5.2: Limits of Sums and the Definite Integral (15)
    • 5.3: Accumulation Functions (14)
    • 5.4: The Fundamental Theorem (23)
    • 5.5: Antiderivative Formulas for Exponential, Natural Log, and Sine Functions (19)
    • 5.6: The Definite Integral—Algebraically (16)
    • 5.7: Differences of Accumulated Change (14)
    • 5.8: Average Value and Average Rate of Change (15)
    • 5.9: Integration of Product or Composite Functions (20)
    • 5: Review Activities (12)

  • Chapter 6: Analyzing Accumulated Change: Integrals in Action
    • 6.1: Perpetual Accumulation and Improper Integrals (20)
    • 6.2: Streams in Business and Biology (16)
    • 6.3: Calculus in Economics: Demand and Elasticity (9)
    • 6.4: Calculus in Economics: Supply and Equilibrium (7)
    • 6.5: Calculus in Probability (Part 1) (18)
    • 6.6: Calculus in Probability (Part 2) (16)
    • 6.7: Differential Equations: Slope Fields and Solutions (18)
    • 6.8: Differential Equations: Proportionality and Common Forms (23)
    • 6: Review Activities (10)

  • Chapter 7: Ingredients of Multivariable Change: Models, Graphs, Rates
    • 7.1: Multivariable Functions and Contour Graphs (24)
    • 7.2: Cross–Sectional Models and Rates of Change (15)
    • 7.3: Partial Rates of Change (28)
    • 7.4: Compensating for Change (7)
    • 7: Review Activities (10)

  • Chapter 8: Analyzing Multivariable Change: Optimization
    • 8.1: Extreme Points and Saddle Points (16)
    • 8.2: Multivariable Optimization (18)
    • 8.3: Optimization under Constraints (21)
    • 8.4: Least-Squares Optimization (5)
    • 8: Review Activities (8)

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Group Quantity Questions
Chapter 1: Ingredients of Change: Functions an Limits
1.R 11 005 007 010 011 012 014 015 017 019 021 028
1.1 12 013 019 023 031 035 036 037 038 039 040 041 501.XP
1.2 13 004 008 009 010 013 015 020 021 024 025 026 027 028
1.3 13 003 005 007 009 011 013 015 017 019 027 031 033 035
1.4 15 003 004 005 007 010 011 013 018 019 020 022 023 025 501.XP 502.XP
1.5 18 003 005 009 012 013 015 016 017 020 021 023 025 026 027 028 029 030 501.XP
1.6 10 001 002 003 006 007 009 010 011 013 014
1.7 17 002 005 007 010 013 015 017 021 022 025 027 035 037 039 041 042 045
1.8 11 003 010 011 014 015 016 017 018 023 025 026
1.9 7 003 015 016 017 018 019 501.XP
1.10 10 003 011 013 015 016 017 019 023 024 501.XP
1.11 8 003 004 006 015 016 017 018 021
1.12 13 005 007 009 013 015 017 018 019 020 021 025 028 501.XP
Chapter 2: Describing Change: Rates
2.R 18 001 002 003 005 007 008 009 010 011 012 013 015 016 021 024 025 026 030
2.1 15 001 006 008 010 011 012 013 014 015 017 018 019 021 022 024
2.2 14 001 003 006 008 009 011 014 015 020 022 025 028 501.XP 502.XP
2.3 15 001 002 003 005 006 007 009 011 012 013 015 016 017 018 501.XP
2.4 16 001 002 003 004 005 007 008 010 011 012 013 015 017 018 020 501.XP
2.5 8 008 009 011 013 015 016 017 018
2.6 15 001 003 004 005 006 009 010 011 012 014 017 020 025 026 501.XP
Chapter 3: Determining Change: Derivatives
3.R 8 001 003 005 007 009 011 013 014
3.1 19 003 005 007 011 013 015 018 021 023 024 025 026 027 029 031 033 036 038 501.XP
3.2 14 003 005 011 012 013 015 017 021 023 024 025 027 028 030
3.3 14 001 004 005 007 009 013 015 017 018 019 020 023 026 029
3.4 19 001 003 005 007 009 010 011 015 021 025 027 031 033 034 036 037 039 040 501.XP
3.5 12 001 003 004 006 007 009 011 015 017 019 021 023
3.6 14 001 003 006 008 009 011 015 016 019 020 021 023 025 501.XP
3.7 9 005 007 009 011 013 017 019 021 025
Chapter 4: Analyzing Change: Applications of Derivatives
4.R 18 001 002 003 004 005 006 007 008 009 010 011 017 018 020 023 024 025 026
4.1 14 001 003 004 005 006 007 008 009 011 013 014 015 017 501.XP
4.2 15 002 004 005 007 009 015 017 019 020 021 023 025 027 029 030
4.3 14 001 002 003 004 008 009 010 011 013 015 017 018 019 501.XP
4.4 20 001 002 003 004 005 006 009 013 015 016 019 021 025 027 030 032 033 035 036 501.XP
4.5 10 001 003 006 007 009 012 014 016 017 018
4.6 6 007 008 011 015 019 023
4.7 7 003 005 011 015 017 021 027
Chapter 5: Accumulating Change: Limits of Sums and the Definite Integral
5.R 12 003 006 008 010 011 014 020 022 023 030 031 034
5.1 15 001 002 003 004 005 006 007 009 011 012 013 015 016 017 501.XP
5.2 15 001 002 003 007 008 011 013 014 015 016 017 018 020 021 022
5.3 14 001 002 003 004 005 006 007 008 014 015 016 017 018 019
5.4 23 001 002 003 004 005 006 008 009 010 011 013 015 017 019 021 023 024 025 027 029 033 036 037
5.5 19 002 003 004 005 006 008 009 011 012 013 014 015 016 017 019 020 021 022 023
5.6 16 001 002 003 004 005 009 011 013 015 016 017 019 020 021 023 025
5.7 14 001 003 005 007 009 010 011 012 013 014 015 016 017 501.XP
5.8 15 001 002 003 004 005 006 007 008 011 012 013 015 016 017 501.XP
5.9 20 001 002 003 004 005 007 008 009 010 011 012 013 015 016 018 019 021 023 501.XP 502.XP
Chapter 6: Analyzing Accumulated Change: Integrals in Action
6.R 10 001 002 003 004 005 006 013 014 015 016
6.1 20 001 003 005 007 009 010 011 013 014 015 017 019 020 021 022 023 024 025 501.XP 502.XP
6.2 16 001 002 003 004 007 008 009 010 011 013 014 015 021 022 023 501.XP
6.3 9 005 013 015 019 023 024 025 027 028
6.4 7 007 009 013 015 017 023 025
6.5 18 001 003 005 009 011 013 014 015 017 019 020 022 024 025 027 028 029 030
6.6 16 001 003 005 007 009 010 011 012 013 014 015 016 018 019 021 023
6.7 18 001 003 005 007 009 015 017 019 021 023 029 031 033 035 037 038 039 041
6.8 23 001 003 005 007 008 009 010 013 015 016 017 025 027 029 031 033 035 037 039 041 043 501.XP 502.XP
Chapter 7: Ingredients of Multivariable Change: Models, Graphs, Rates
7.R 10 001 002 004 005 006 007 010 011 012 013
7.1 24 001 003 004 005 007 009 010 011 012 013 014 015 016 017 018 019 020 021 025 027 029 032 033 034
7.2 15 001 002 003 004 005 006 007 008 009 011 012 013 014 015 501.XP
7.3 28 001 004 005 006 007 008 009 010 011 012 013 014 016 017 018 019 021 022 024 025 026 028 029 030 031 033 501.XP 502.XP
7.4 7 002 006 008 010 012 014 018
Chapter 8: Analyzing Multivariable Change: Optimization
8.R 8 001 002 003 004 005 006 007 008
8.1 16 003 004 005 006 007 008 009 010 012 013 014 015 016 017 501.XP 502.XP
8.2 18 001 002 003 004 005 006 007 009 010 012 013 015 016 018 019 020 501.XP 502.XP
8.3 21 001 002 003 004 005 006 007 008 009 011 013 014 015 016 017 018 019 020 021 501.XP 502.XP
8.4 5 001 003 004 007 008
Total 924