Mathematical Applications for the Management, Life, and Social Sciences 12th edition

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Ronald J. Harshbarger and James J. Reynolds
Publisher: Cengage Learning

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  • Chapter 1: Linear Equations and Functions
    • 1.1: Solutions of Linear Equations and Inequalities in One Variable (40)
    • 1.2: Functions (30)
    • 1.3: Linear Functions (42)
    • 1.4: Graphs and Graphing Utilities (18)
    • 1.5: Solutions of Systems of Linear Equations (42)
    • 1.6: Applications of Functions in Business and Economics (41)
    • 1: Warm-Up Exercises (8)
    • 1: Review Exercises
    • 1: Chapter Test

  • Chapter 2: Quadratic and Other Special Functions
    • 2.1: Quadratic Equations (49)
    • 2.2: Quadratic Functions: Parabolas (29)
    • 2.3: Business Applications Using Quadratics (22)
    • 2.4: Special Functions and Their Graphs (31)
    • 2.5: Modeling; Fitting Curves to Data with Graphing Utilities (21)
    • 2: Warm-Up Exercises (6)
    • 2: Review Exercises
    • 2: Chapter Test

  • Chapter 3: Matrices
    • 3.1: Matrices (27)
    • 3.2: Multiplication of Matrices (34)
    • 3.3: Gauss-Jordan Elimination: Solving Systems of Equations (35)
    • 3.4: Inverse of a Square Matrix; Matrix Equations (36)
    • 3.5: Applications of Matrices: Leontief Input-Output Models (24)
    • 3: Warm-Up Exercises (5)
    • 3: Review Exercises
    • 3: Chapter Test

  • Chapter 4: Inequalities and Linear Programming
    • 4.1: Linear Inequalities in Two Variables (24)
    • 4.2: Linear Programming: Graphical Methods (28)
    • 4.3: The Simplex Method: Maximization (32)
    • 4.4: The Simplex Method: Duality and Minimization (18)
    • 4.5: The Simplex Method with Mixed Constraints (25)
    • 4: Warm-Up Exercises (5)
    • 4: Review Exercises
    • 4: Chapter Test

  • Chapter 5: Exponential and Logarithmic Functions
    • 5.1: Exponential Functions (18)
    • 5.2: Logarithmic Functions and Their Properties (34)
    • 5.3: Equations and Applications with Exponential and Logarithmic Functions (28)
    • 5: Warm-Up Exercises (4)
    • 5: Review Exercises
    • 5: Chapter Test

  • Chapter 6: Mathematics of Finance
    • 6.1: Simple Interest; Sequences (27)
    • 6.2: Compound Interest; Geometric Sequences (39)
    • 6.3: Future Values of Annuities (25)
    • 6.4: Present Values of Annuities (29)
    • 6.5: Loans and Amortization (19)
    • 6: Warm-Up Exercises (7)
    • 6: Review Exercises
    • 6: Chapter Test

  • Chapter 7: Introduction to Probability
    • 7.1: Probability; Odds (37)
    • 7.2: Unions and Intersections of Events: One-Trial Experiments (24)
    • 7.3: Conditional Probability: The Product Rule (35)
    • 7.4: Probability Trees and Bayes' Formula (17)
    • 7.5: Counting: Permutations and Combinations (29)
    • 7.6: Permutations, Combinations, and Probability (26)
    • 7.7: Markov Chains (25)
    • 7: Warm-Up Exercises (6)
    • 7: Review Exercises
    • 7: Chapter Test

  • Chapter 8: Further Topics in Probability; Data Description
    • 8.1: Binomial Probability Experiments (16)
    • 8.2: Data Description (30)
    • 8.3: Discrete Probability Distributions; The Binomial Distribution (27)
    • 8.4: Normal Probability Distribution (29)
    • 8.5: The Normal Curve Approximation to the Binomial Distribution (21)
    • 8: Warm-Up Exercises (6)
    • 8: Review Exercises
    • 8: Chapter Test

  • Chapter 9: Derivatives
    • 9.1: Limits (37)
    • 9.2: Continuous Functions; Limits at Infinity (28)
    • 9.3: Rates of Change and Derivatives (27)
    • 9.4: Derivative Formulas (33)
    • 9.5: The Product Rule and the Quotient Rule (31)
    • 9.6: The Chain Rule and the Power Rule (37)
    • 9.7: Using Derivative Formulas (27)
    • 9.8: Higher-Order Derivatives (25)
    • 9.9: Applications: Marginals and Derivatives (20)
    • 9: Warm-Up Exercises (9)
    • 9: Review Exercises
    • 9: Chapter Test

  • Chapter 10: Applications of Derivatives
    • 10.1: Relative Maxima and Minima: Curve Sketching (32)
    • 10.2: Concavity; Points of Inflection (26)
    • 10.3: Optimization in Business and Economics (26)
    • 10.4: Applications of Maxima and Minima (18)
    • 10.5: Rational Functions: More Curve Sketching (24)
    • 10: Warm-Up Exercises (8)
    • 10: Review Exercises
    • 10: Chapter Test

  • Chapter 11: Derivatives Continued
    • 11.1: Derivatives of Logarithmic Functions (32)
    • 11.2: Derivatives of Exponential Functions (32)
    • 11.3: Implicit Differentiation (35)
    • 11.4: Related Rates (22)
    • 11.5: Applications in Business and Economics (14)
    • 11: Warm-Up Exercises (8)
    • 11: Review Exercises
    • 11: Chapter Test

  • Chapter 12: Indefinite Integrals
    • 12.1: Indefinite Integrals (32)
    • 12.2: The Power Rule (27)
    • 12.3: Integrals Involving Exponential and Logarithmic Functions (28)
    • 12.4: Applications of the Indefinite Integral in Business and Economics (19)
    • 12.5: Differential Equations (31)
    • 12: Warm-Up Exercises (8)
    • 12: Review Exercises
    • 12: Chapter Test

  • Chapter 13: Definite Integrals: Techniques of Integration
    • 13.1: Area Under a Curve (22)
    • 13.2: The Definite Integral: The Fundamental Theorem of Calculus (34)
    • 13.3: Area Between Two Curves (26)
    • 13.4: Applications of Definite Integrals in Business and Economics (23)
    • 13.5: Using Tables of Integrals (30)
    • 13.6: Integration by Parts (22)
    • 13.7: Improper Integrals and Their Applications (28)
    • 13.8: Numerical Integration Methods: The Trapezoidal Rule and Simpson's Rule (20)
    • 13: Warm-Up Exercises (5)
    • 13: Review Exercises
    • 13: Chapter Test

  • Chapter 14: Functions of Two or More Variables
    • 14.1: Functions of Two or More Variables (22)
    • 14.2: Partial Differentiation (33)
    • 14.3: Applications of Functions of Two Variables in Business and Economics (15)
    • 14.4: Maxima and Minima (18)
    • 14.5: Maxima and Minima of Functions Subject to Constraints: Lagrange Multipliers (18)
    • 14: Warm-Up Exercises (9)
    • 14: Review Exercises
    • 14: Chapter Test

  • Chapter 0: Algebraic Concepts
    • 0.1: Sets (31)
    • 0.2: The Real Numbers (34)
    • 0.3: Integral Exponents (32)
    • 0.4: Radicals and Rational Exponents (38)
    • 0.5: Operations with Algebraic Expressions (41)
    • 0.6: Factoring (34)
    • 0.7: Algebraic Fractions (33)
    • 0: Review Exercises
    • 0: Chapter Test


Mathematical Applications for the Management, Life, and Social Sciences, 12th edition, engages students with its concept-based approach, multiple presentation methods, and relevant applications throughout. Intended for two-semester applied calculus or combined finite mathematics and applied calculus courses, the book places concepts in real-life contexts to help students strengthen their understanding. A focus on modeling (with modeling problems clearly labeled in the examples and problems, so they can be treated as optional) and flexible content organization accommodate different teaching approaches, enabling instructors to decide the order in which topics are presented and the degree to which they are emphasized.

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Group Quantity Questions
Chapter 0: Algebraic Concepts
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0.7 33 001 002 004 005 007 009 012 013 014 017.MI 017.MI.SA 018 019 022 023 026 028 031 033 035.MI 035.MI.SA 038 041 043 044 047.MI 047.MI.SA 049 050 051 054 055 058
Chapter 1: Linear Equations and Functions
1.WU 8 001abc 001defg 002 003 004 005abc 005def 006
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1.2 30 001 003 005 006 007 008 009 011 015 017 019 020 021 025.MI 025.MI.SA 027 029 032 033.MI 033.MI.SA 035 037.MI 037.MI.SA 039 041 044 047 049 050 051 052 053 054 058 059
1.3 42 001 003 005.MI 005.MI.SA 007 009 011 013 015.MI 015.MI.SA 017 019 021 023.MI 023.MI.SA 025 027.MI 027.MI.SA 029.MI 029.MI.SA 031 033 035.MI 035.MI.SA 036 037 040 041.MI 041.MI.SA 043 045.MI 045.MI.SA 047 049.MI 049.MI.SA 051 052 053 055 057 063 064 065
1.4 18 007 017.MI 017.MI.SA 024 027 029 030 031 035.MI 035.MI.SA 037 039 041 042 043 044 045 047 048
1.5 42 001 002 003.MI 003.MI.SA 005 007.MI 007.MI.SA 009 011 012 013.MI 013.MI.SA 014 015 016 017.MI 017.MI.SA 020.MI 020.MI.SA 022 023 025 027.MI 027.MI.SA 031 032 035.MI 035.MI.SA 037.MI 037.MI.SA 039 040 043.MI 043.MI.SA 044.MI 044.MI.SA 045 048.MI 048.MI.SA 051 501.XP 502.XP.MI 502.XP.MI.SA
1.6 41 001.MI 001.MI.SA 003 004.MI 004.MI.SA 005 007 008 009 011.MI 011.MI.SA 013 014 015 017.MI 017.MI.SA 018 019 021 023 026 027 031 033 035 036.MI 036.MI.SA 039 040 041 044.MI 044.MI.SA 045 047 048 049 050.MI 050.MI.SA 051 055 057 058.MI 058.MI.SA
Chapter 2: Quadratic and Other Special Functions
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2.2 29 001 003 005 006 007.MI 007.MI.SA 009 011 012 013 015 017 018 021.MI 021.MI.SA 022 025 029 031 032 033 037.MI 037.MI.SA 039 041 043 044 045 048
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2.4 31 002 005 008 010 011 013 016 019 021 023 025 027.MI 027.MI.SA 029 031 033 034.MI 034.MI.SA 035 036 037 040 041 042 043 045 047 050 051 052 054
2.5 21 001 003 005 007 009.MI 009.MI.SA 011.MI 011.MI.SA 014 015 016 018 019 021 022 024 026 027 030 035 036
Chapter 3: Matrices
3.WU 5 001abc 001d 002 003 004
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3.2 34 001.MI 003.MI 005 006 007 009 011 013.MI 013.MI.SA 015.MI 015.MI.SA 017 019.MI 019.MI.SA 022 025.MI 025.MI.SA 026 027 031 033 038 039 041 043 045 046.MI 046.MI.SA 048 049.MI 049.MI.SA 050.MI 050.MI.SA 051.MI 051.MI.SA 053.MI 055
3.3 35 002 003 005 007.MI 007.MI.SA 009 011 013 015 017 018 020 023.MI 023.MI.SA 025 027 028 029 031 033 037 039 041 042 045 047 049 051.MI 051.MI.SA 054 055 057 059 061 062
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3.5 24 001 003.MI 003.MI.SA 004 005 006 007 008 009 010 011.MI 011.MI.SA 015 018 021 023 026.MI 026.MI.SA 029 033 035 038 040 042
Chapter 4: Inequalities and Linear Programming
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4.2 28 001.MI 001.MI.SA 002 005 007 009 012 013.MI 013.MI.SA 015 017 020 022 023 025 026 027.MI 027.MI.SA 029 031 033 038 039 040 041 043 044 045
4.3 32 003.MI 003.MI.SA 005 007 009 011 013 015 017 019.MI 019.MI.SA 021 024 025 026 027 028 030 032 033 035 039.MI 039.MI.SA 041 042 043 045 046 048 050 052.MI 052.MI.SA 053
4.4 18 001.MI 001.MI.SA 004 005 007.MI 007.MI.SA 011 013 015 017 021 023.MI 023.MI.SA 025 028 029 032 034
4.5 25 001 003 005.MI 005.MI.SA 007 009 010 011.MI 011.MI.SA 013 015 018 019 020 021 023 025 027.MI 027.MI.SA 029 030 031 032 035 037 038
Chapter 5: Exponential and Logarithmic Functions
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Chapter 6: Mathematics of Finance
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6.5 19 001 003 005.MI 005.MI.SA 006 007 009 011 012 013 015.MI 015.MI.SA 017 018 020 021 023 025 029 030 032 036.MI 036.MI.SA 038 039 040
Chapter 7: Introduction to Probability
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7.2 24 001 003.MI 004 005 007 009 010 012 016 017 019 021 023 025.MI 025.MI.SA 028 029 031 033 035 037 038.MI 038.MI.SA 039 040 042 044 047 048.MI 048.MI.SA 501.XP
7.3 35 001 003 004 005 007 010.MI 010.MI.SA 011 014 015 017 018 019 021 023 025 027 029 031.MI 031.MI.SA 033 035 037 039 041 043 044 045 047.MI 047.MI.SA 050 051 053 055 058 061.MI 061.MI.SA
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7.6 26 001 003 004.MI 004.MI.SA 005 007 008 009 011 012.MI 012.MI.SA 013 015 017 019 020 021 022.MI 022.MI.SA 023 025 027 030 032 034 035
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Chapter 8: Further Topics in Probability; Data Description
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8.5 21 001 005 007.MI 007.MI.SA 009 011 013 015 017 019 020 023 025.MI 025.MI.SA 027 029 032 034.MI 034.MI.SA 036 038
Chapter 9: Derivatives
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9.3 27 001 003 006 007.MI 007.MI.SA 008 009 011 013 015 017 020 022 023 025 027.MI 027.MI.SA 029 030 031 033 035 037 039 040.MI 040.MI.SA 041 042.MI 042.MI.SA 045 047 048 052
9.4 33 001 003 004 005 007 009 011 014.MI 014.MI.SA 015 017 019 021 023 025 026.MI 026.MI.SA 027 030.MI 030.MI.SA 031 033 035 038 039 043 046 047 050 051 052 053 055 056 058.MI 058.MI.SA 060 061
9.5 31 002.MI 002.MI.SA 003 004 005 008 009 010 011 013 015 017.MI 017.MI.SA 020 021 022 023 025 026 030 031 034 036 038 039 041.MI 041.MI.SA 043 045.MI 045.MI.SA 046 049 051 054
9.6 37 001.MI 002 003.MI 003.MI.SA 005 007 009 011.MI 011.MI.SA 013 015 016 018 020.MI 020.MI.SA 021.MI 021.MI.SA 023 025.MI 025.MI.SA 027 028 031.MI 031.MI.SA 033.MI 033.MI.SA 035.MI 035.MI.SA 037 038 039 042 044 045 047 048.MI 048.MI.SA 049 052 501.XP
9.7 27 001 003.MI 003.MI.SA 005 006 007 010 011 013 015 017 018 020 021.MI 021.MI.SA 023 025 027 029 031 033 035 036 037.MI 037.MI.SA 039 040.MI 040.MI.SA 041 043
9.8 25 001 003 004 005.MI 005.MI.SA 006 007 009 011 013 015.MI 015.MI.SA 017 019 021 024.MI 024.MI.SA 025 026 030 031 033 035.MI 035.MI.SA 036 037 038 041 042 046
9.9 20 001 003 004 005 006 009.MI 009.MI.SA 011 012 015 017 020.MI 020.MI.SA 023 025 027 028 029 031 034 035 036.MI 036.MI.SA 037 038
Chapter 10: Applications of Derivatives
10.WU 8 001 002 003 004 005 006 007 008
10.1 32 001 001and03 002 002and04 003 004 005 007 009 011 014 015 017 019 021 025.MI 025.MI.SA 027 029 031 033 035 036 038 040 042 043 045 048 049.MI 049.MI.SA 051 052 053 054 055 057 058 060.MI 060.MI.SA 062
10.2 26 001 003 004 005 007 009 011 013 015 016 017 020.MI 020.MI.SA 021 023 026 028 029 031 034 035 037 038.MI 038.MI.SA 039 040.MI 040.MI.SA 042 046 501.XP
10.3 26 001 003 004 005 006 007.MI 007.MI.SA 009 012 013 014 017 019.MI 019.MI.SA 021 022 027 029 031 032 033.MI 033.MI.SA 035 037 039 040 042 043 045 047
10.4 18 001 003.MI 003.MI.SA 005 007 008 009 011 013.MI 013.MI.SA 015 017 018 019 020 021 022 023 025 029 031.MI 031.MI.SA 032
10.5 24 001 004 005.MI 005.MI.SA 007 009 011 013 015 017 019.MI 019.MI.SA 021 023 024 026 027 030 032 035 037 040.MI 040.MI.SA 041 042 043
Chapter 11: Derivatives Continued
11.WU 8 001 002 003 004 005abc 005def 006 007
11.1 32 001 003 005 007 009 011 013 015 017 019.MI 019.MI.SA 021 023 025 027 029 031 033 034 037 039 040 042 043 045 046 047 049.MI 049.MI.SA 050 051 052
11.2 32 001 003 005 007.MI 007.MI.SA 009 011 012 013 014 015 016 018 019 021 023 025 027.MI 027.MI.SA 029 030 031 033 038 039 040 043 044.MI 044.MI.SA 045 047 049 051 053 056 058 059 060 062 065
11.3 35 001 003 006 007.MI 007.MI.SA 009 011 013 015 017 019 020 022 023 024 025 027.MI 027.MI.SA 028 029 030 031 033 035 037 039 041 043 045 048 052 054 055 057 058.MI 058.MI.SA 059 061 062
11.4 22 001 003 005 007 009.MI 009.MI.SA 011 013 015 016 017 019 020.MI 021 022 023 025 027 028.MI 028.MI.SA 030 033 035 037
11.5 14 001 002 003 004 006.MI 006.MI.SA 007 008 009 011 015 017 019.MI 019.MI.SA 020 021 024.MI 024.MI.SA
Chapter 12: Indefinite Integrals
12.WU 8 001 002 003 004 005 006 007 008
12.1 32 001 003 005 007 008 009 011 013 015 017 019 021 024 025 027 029.MI 029.MI.SA 031 033 035 037 039 041.MI 041.MI.SA 043 045 047 048.MI 048.MI.SA 049 054 055 056
12.2 27 001 003 004 005 007 008 009.MI 009.MI.SA 012 013 015 016 017 019 021 023 025 026 027 029 031.MI 031.MI.SA 032 033 035 037 040 042 043 047.MI 047.MI.SA 048 051 053 055 056
12.3 28 001 004 005 007 009.MI 009.MI.SA 010 011 012 013 015 017 018 019 020 021 022 023 026.MI 026.MI.SA 027 029 032 035 037 041 043.MI 043.MI.SA 047 049 050 051 054
12.4 19 001 003.MI 003.MI.SA 004 005 006 007 009 011 012 014 015 017 019.MI 019.MI.SA 021 022 023 024 025 026 027.MI 027.MI.SA 028 501.XP
12.5 31 001 003 005 007 009 011.MI 011.MI.SA 013 015 017 019 022 024.MI 024.MI.SA 025 028 030 031 033 034 035 038 041 043 045 047 049 051 056.MI 056.MI.SA 061
Chapter 13: Definite Integrals: Techniques of Integration
13.WU 5 001 002 003 004 005
13.1 22 001.MI 001.MI.SA 001and05 003 003and07 005 007 009 011 013 015 016.MI 016.MI.SA 018 020 022 024.MI 024.MI.SA 026 029 033 034 036 037 038 039
13.2 34 001 003 005 007 008 009 011 012 013 015 019 022 025 027 029 031.MI 031.MI.SA 032 034 037 038 039 041 043 044.MI 044.MI.SA 045 050 051 053 055 057 058 059 060 062 063 065 067.MI 067.MI.SA 069 071 072
13.3 26 001 002 003 005 007 008 009 011 013.MI 013.MI.SA 014 016 017 019 021 024 025 027.MI 027.MI.SA 029 030 032 033 036 037 038 039 040 041 043.MI 043.MI.SA 046 047
13.4 23 001 003 004 005 006 007 009 011 013.MI 013.MI.SA 015 017 019 021 023 025.MI 025.MI.SA 027 029 031 033 035.MI 035.MI.SA
13.5 30 001 003 005 007 008 009 011 013 014 015 017 018.MI 018.MI.SA 020 022 023 025 027 028.MI 028.MI.SA 029 031 033 036 037 038 039 040 041.MI 041.MI.SA
13.6 22 001 003 005.MI 005.MI.SA 007 009 011 013 015 016 017.MI 017.MI.SA 019 021 022 025 029 031 032.MI 032.MI.SA 033 035 036
13.7 28 001 003 005 006 008 010 011 013 015 017 018 019 020.MI 020.MI.SA 021 022 023 026 029 033.MI 033.MI.SA 036 038 039 040.MI 040.MI.SA 043 044 045 046 048 050
13.8 20 001 003 005 007 010 011 013.MI 013.MI.SA 015 017 019 021 023 024.MI 024.MI.SA 025 026.MI 026.MI.SA 029 030 031 032
Chapter 14: Functions of Two or More Variables
14.WU 9 001 002 003 004 005 006 007 008 009
14.1 22 002 003 005.MI 005.MI.SA 007 009 012 013 015.MI 015.MI.SA 017 019 021 023 025 026.MI 026.MI.SA 027 028 030 033 035 036 037 038
14.2 33 001.MI 001.MI.SA 003 004 005 008 009 011 012 013 017.MI 017.MI.SA 019 021 023 025 027 029 031 033 035 037 039.MI 039.MI.SA 041 043 045 048 049 050 051 053 054
14.3 15 001 002 003.MI 006 007 009 011 013.MI 013.MI.SA 014 017 019 020.MI 020.MI.SA 023 025 027 029
14.4 18 001 003 004 005 007 009 011.MI 011.MI.SA 013 015 016 019.MI 019.MI.SA 021 023 024 025 027.MI 027.MI.SA 029
14.5 18 001 003 004.MI 004.MI.SA 005 007 008 010 011 012 014.MI 014.MI.SA 015 017 021 023.MI 023.MI.SA 025
Total 2494 (267)