Applied Calculus 7th edition

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Geoffrey C. Berresford and Andrew M. Rockett
Publisher: Cengage Learning

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  • Berresford Applied Calculus 7e

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  • Chapter 1: Functions
    • 1.1: Real Numbers, Inequalities, and Lines (49)
    • 1.2: Exponents (49)
    • 1.3: Functions: Linear and Quadratic (47)
    • 1.4: Functions: Polynomial, Rational, and Exponential (42)
    • 1: Review Exercises and Chapter Test

  • Chapter 2: Derivatives and Their Uses
    • 2.1: Limits and Continuity (41)
    • 2.2: Rates of Change, Slopes, and Derivatives (34)
    • 2.3: Some Differentiation Formulas (37)
    • 2.4: The Product and Quotient Rules (38)
    • 2.5: Higher-Order Derivatives (31)
    • 2.6: The Chain Rule and the Generalized Power Rule (41)
    • 2.7: Nondifferentiable Functions (11)
    • 2: Review Exercises and Chapter Test

  • Chapter 3: Further Applications of Derivatives
    • 3.1: Graphing Using the First Derivative (43)
    • 3.2: Graphing Using the First and Second Derivatives (50)
    • 3.3: Optimization (34)
    • 3.4: Further Applications of Optimization (19)
    • 3.5: Optimizing Lot Size and Harvest Size (20)
    • 3.6: Implicit Differentiation and Related Rates (46)
    • 3.7: Differentials, Approximations, and Marginal Analysis (24)
    • 3: Review Exercises and Chapter Test
    • 3: Cumulative Review for Chapters 1-3

  • Chapter 4: Exponential and Logarithmic Functions
    • 4.1: Exponential Functions (35)
    • 4.2: Logarithmic Functions (38)
    • 4.3: Differentiation of Logarithmic and Exponential Functions (56)
    • 4.4: Two Applications to Economics: Relative Rates and Elasticity of Demand (30)
    • 4: Review Exercises and Chapter Test

  • Chapter 5: Integration and Its Applications
    • 5.1: Antiderivatives and Indefinite Integrals (41)
    • 5.2: Integration Using Logarithmic and Exponential Functions (36)
    • 5.3: Definite Integrals and Areas (58)
    • 5.4: Further Applications of Definite Integrals: Average Value and Area Between Curves (48)
    • 5.5: Two Applications to Economics: Consumers' Surplus and Income Distribution (21)
    • 5.6: Integration by Substitution (44)
    • 5: Review Exercises and Chapter Test

  • Chapter 6: Integration Techniques
    • 6.1: Integration by Parts (43)
    • 6.2: Integration Using Tables (43)
    • 6.3: Improper Integrals (39)
    • 6.4: Numerical Integration (27)
    • 6: Review Exercises and Chapter Test

  • Chapter 7: Calculus of Several Variables
    • 7.1: Functions of Several Variables (29)
    • 7.2: Partial Derivatives (38)
    • 7.3: Optimizing Functions of Several Variables (31)
    • 7.4: Least Squares (26)
    • 7.5: Lagrange Multipliers and Constrained Optimization (28)
    • 7.6: Total Differentials, Approximate Changes, and Marginal Analysis (27)
    • 7.7: Multiple Integrals (33)
    • 7: Review Exercises and Chapter Test
    • 7: Cumulative Review for Chapters 1-7

  • Chapter 8: Trigonometric Functions
    • 8.1: Triangles, Angles, and Radian Measure (23)
    • 8.2: Sine and Cosine Functions (31)
    • 8.3: Derivatives of Sine and Cosine Functions (50)
    • 8.4: Integrals of Sine and Cosine Functions (36)
    • 8.5: Other Trigonometric Functions (36)
    • 8: Review Exercises and Chapter Test

  • Chapter 9: Differential Equations
    • 9.1: Separation of Variables (42)
    • 9.2: Further Applications of Differential Equations: Three Models of Growth (34)
    • 9.3: First-Order Linear Differential Equations (32)
    • 9.4: Approximate Solutions of Differential Equations: Euler's Method (23)
    • 9: Review Exercises and Chapter Test

  • Chapter 10: Sequences and Series
    • 10.1: Geometric Series (40)
    • 10.2: Taylor Polynomials (26)
    • 10.3: Taylor Series (28)
    • 10.4: Newton's Method (26)
    • 10: Review Exercises and Chapter Test

  • Chapter 11: Probability
    • 11.1: Discrete Probability (32)
    • 11.2: Continuous Probability (28)
    • 11.3: Uniform and Exponential Random Variables (27)
    • 11.4: Normal Random Variables (21)
    • 11: Review Exercises and Chapter Test
    • 11: Cumulative Review for Chapters 1-11


Applied Calculus, 7th edition uses intriguing real-world applications to capture readers' interest and show them the practical side of calculus. Its many applications are related to finance, business, and general-interest topics. The WebAssign enhancement to this textbook engages students with immediate feedback, rich tutorial content, and an interactive, fully customizable eBook.

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Chapter 1: Functions
1.1 49 Diagnostic.001 Diagnostic.002 Diagnostic.003 Diagnostic.004 Diagnostic.005 Diagnostic.006 Diagnostic.007 Diagnostic.008 Diagnostic.009 Diagnostic.010 001.MI 001.MI.SA 003 005 007 009 011 013 015 017 019 021 023 025 027 029 031 033 035 037.MI 037.MI.SA 041.MI 041.MI.SA 043 047 049.MI 049.MI.SA 051 053.SBS 055 057 061 063 065 069 071 072 079 083
1.2 49 001 003 005 007 009 011 013.MI 013.MI.SA 015 017 019 021 023 025 027 029 031 033 035 039 041 043 045.MI 045.MI.SA 051 053 057 059.MI 059.MI.SA 061 071 073 079 081 083 085.MI 085.MI.SA 087 089 091 093 095 097 101 103 105 107 109 115
1.3 47 001 003 005 009 011 013 015 017 019 021 025.MI 025.MI.SA 027 029 031 033 035.MI 035.MI.SA 037 039 041 043.MI 043.MI.SA 045 047 049 051 053 057 059 061 063 065 067 069 071 073.MI 073.MI.SA 075 077 079 081 085 087 091 093 097
1.4 42 001 005 007 009 011.MI 011.MI.SA 015 017 019.MI 019.MI.SA 021 023 027 029 031 033 035 037 039 041 043 047 049 051.MI 051.MI.SA 053 055 057.MI 057.MI.SA 059 061 063 065 067 069 071 077 079 081 083 087 089
Chapter 2: Derivatives and Their Uses
2.1 41 001 003 005 007 009 011 013 015.MI 015.MI.SA 019 021 023.MI 023.MI.SA 025 027 029 031.MI 031.MI.SA 033 035 037 039 041 043 045 047 049 051 053 055 059 061 063 065 067.MI 067.MI.SA 069 075 081 083 084
2.2 34 001 002 003 005 007 009.MI 009.MI.SA 011 013 015 017.MI 017.MI.SA 019 021 023.MI 023.MI.SA 025 027 029 031 033 035 037 039.MI 039.MI.SA 040 043 045 047 049 055 056 057 059
2.3 37 001 003 005.MI 005.MI.SA 007 009 011 013 015 017 021.MI 021.MI.SA 023 025.MI 025.MI.SA 027 029 031 033 035 037.MI 037.MI.SA 039 041 045 047 049 052 053 054 055 057 059 061 063 065 069
2.4 38 003 005 007 009 011 015 017 019 021 023 025.MI 025.MI.SA 027 029.MI 029.MI.SA 031 033 035 037 041 043.MI 043.MI.SA 045 047 049 051 053 055.MI 055.MI.SA 057 059 061 062 065 067 075 079 081
2.5 31 001 003 005 007 009.MI 009.MI.SA 011 013 015 017 019 020 021 023 025.MI 025.MI.SA 027.MI 027.MI.SA 029 031 033 035 036 037 040 041.MI 041.MI.SA 043 047 049 051
2.6 41 001 003 005 007 009 011 013 015.MI 015.MI.SA 017 019 021 023 025 027 029 031 033.MI 033.MI.SA 035 037 039 041 043.MI 043.MI.SA 045 047 049 051 053 055 057 059 061 063.MI 063.MI.SA 066 067 071 075 077
2.7 11 001 003 005 007.MI 007.MI.SA 008 009 011 016 017 018
Chapter 3: Further Applications of Derivatives
3.1 43 001 003 005 007 009 011.MI 011.MI.SA 012 013 015 017 019 021 023 025 027 029 031 033 035 037 039.MI 039.MI.SA 041 043 044 045 047 049 051 055 057 059 061 065.MI 065.MI.SA 066 067 070 071 073 075 081
3.2 50 001 003 005 007 009 011.MI 011.MI.SA 013 015 017 019 020 021 023.MI 023.MI.SA 024 025 027 029.MI 029.MI.SA 031 033 035 037 039 041.MI 041.MI.SA 043 045 047 049 050 051 052 053 054 055 056 057 059 060 061 065 067 068 069 071 073 075 081
3.3 34 001 003 005 007.MI 007.MI.SA 009 011 013 015 017 019.MI 019.MI.SA 021 025 027 029 030 031 033 034 035.MI 035.MI.SA 037 038 039 041 043 044 045 047 049 051 055 061
3.4 19 001.MI 001.MI.SA 003 004 005 006 007.MI 007.MI.SA 009.MI 009.MI.SA 011 012 013 015 016 017 019 020 021
3.5 20 001.MI 001.MI.SA 002 003.MI 003.MI.SA 005 006 007.MI 007.MI.SA 009 010 011 013 015 017.MI 017.MI.SA 019 021 023 025
3.6 46 001 003 005 007 009 011 013 014 015 017.MI 017.MI.SA 019 021 023 025 027.MI 027.MI.SA 028 029 031 033 035 037 038 039 040 041 043 045.MI 045.MI.SA 047 049 051 053 055 057 059.MI 059.MI.SA 061 063 065 067 069 071 075 079
3.7 24 001 003 005 007 009 011 013 015 017 019 021 022 023 025 026 027 029 030 031 033 035 036 037 038
Chapter 4: Exponential and Logarithmic Functions
4.1 35 001 003 005 007 009 013.MI 013.MI.SA 015 016 019.MI 019.MI.SA 020 021 023 025 027.MI 027.MI.SA 029 030 031 032 033 035 036 037 039.MI 039.MI.SA 041 043 045 047 049 051 053 059
4.2 38 001 003.MI 003.MI.SA 005 007 009 011.MI 011.MI.SA 013 015 017.MI 017.MI.SA 019 020 021.MI 021.MI.SA 023 025 027.MI 027.MI.SA 028 029 030 031 033 034 035 036 037 039 041 042 043 045 047 049 051 053
4.3 56 001.MI 001.MI.SA 003 005 007 009 011.MI 011.MI.SA 013 015.MI 015.MI.SA 017 019 021 024 025 027 031.MI 031.MI.SA 033 037 039.MI 039.MI.SA 041 043 045.MI 045.MI.SA 047 048 049 051 053 055 057 059.MI 059.MI.SA 061 063 067 069 071 073 075 077 079 080 081 083 085 087 088 089 091 093 101 103
4.4 30 001 003 005 007 009.MI 009.MI.SA 011 013 015.MI 015.MI.SA 017 019 021.MI 021.MI.SA 022 023 025 027 029 030 031 033 034 035.MI 035.MI.SA 037 041 043 047 049
Chapter 5: Integration and Its Applications
5.1 41 001 003 005 007.MI 007.MI.SA 009 011 013 015.MI 015.MI.SA 017.MI 017.MI.SA 019 021 023 025 027 029.MI 029.MI.SA 031 033 035 037.MI 037.MI.SA 039 041 043 045.MI 045.MI.SA 046 047 049 050 051 053 054 055 056 061 063 065
5.2 36 001 003 005 007 009 011.MI 011.MI.SA 013 015 017 019 021 023 025.MI 025.MI.SA 027 029 031 033.MI 033.MI.SA 035 037 039 041.MI 041.MI.SA 043 044 045 047 048 049 051 052 053 054 055
5.3 58 001 003 004 005.MI 005.MI.SA 007.MI 007.MI.SA 009 011 013 015 016 017 019 021 023 024 025 027 029.MI 029.MI.SA 031.MI 031.MI.SA 033 035 036 037 039 041 043 045 047.MI 047.MI.SA 051 053 055 059 061 063 065.MI 065.MI.SA 067 069 071 073 075 077 078 079.MI 079.MI.SA 081 083 085 087 090 093 095 099
5.4 48 001 003.MI 003.MI.SA 005.MI 005.MI.SA 007 009 011.MI 011.MI.SA 013 015.MI 015.MI.SA 017 019 021 022 023 025 027 029 031 032 033 034 035 037 039.MI 039.MI.SA 041 043 045.MI 045.MI.SA 047 049 051.MI 051.MI.SA 053 055 057 059 061 063.MI 063.MI.SA 065 067 077 081 083
5.5 21 001.MI 001.MI.SA 003 005 007 009 011.MI 011.MI.SA 013 014 015 017 019 021 023.MI 023.MI.SA 025 027 029 043 044
5.6 44 001 003 005 007.MI 007.MI.SA 013 015 017 019.MI 019.MI.SA 021 023 025 027.MI 027.MI.SA 029 031 033 035.MI 035.MI.SA 037 039 041 043.MI 043.MI.SA 045 047 049.MI 049.MI.SA 051 055 057 065.MI 065.MI.SA 067 068 069 071 072 073 075 078 079 083
Chapter 6: Integration Techniques
6.1 43 001 003 005 007 009.MI 009.MI.SA 011 013 015 017.MI 017.MI.SA 019 021.MI 021.MI.SA 023 025 027 029 031 033.MI 033.MI.SA 035 037 039 041.MI 041.MI.SA 043.MI 043.MI.SA 045 047 049 051 053 055 057.MI 057.MI.SA 058 059 062 063 064 067 071
6.2 43 001 003 005 007.MI 007.MI.SA 009 011 013 015.MI 015.MI.SA 017 019 021.MI 021.MI.SA 023 025 027 029 031 033 035 037 039 041 043 045 047 050 051 053 055 057.MI 057.MI.SA 059 061 063 064 065 067.MI 067.MI.SA 071 075 077
6.3 39 001 003 005 007 009 011 013 015 017.MI 017.MI.SA 019 021 023 025.MI 025.MI.SA 027 029 031 033 035.MI 035.MI.SA 037.MI 037.MI.SA 039 043 045 046 047.MI 047.MI.SA 049 050 051 052 055 057 059 060 061 065
6.4 27 001.MI 001.MI.SA 003 005 007.MI 007.MI.SA 009 011 013 015 016 017 019 021.MI 021.MI.SA 023.MI 023.MI.SA 025 027 028 029 031 033 035 036 037 041
Chapter 7: Calculus of Several Variables
7.1 29 001 003 005 007 009.MI 009.MI.SA 011 013 015 017 019 021.MI 021.MI.SA 023 025 026 027.MI 027.MI.SA 029 031 033 034 035 037 040 041 047 049 054
7.2 38 001.MI 001.MI.SA 003 005 007 009.MI 009.MI.SA 011 013 015 017 019 021 023.MI 023.MI.SA 025 027 029 031 033.MI 033.MI.SA 035 037 039 041.MI 041.MI.SA 043 045 047 049 050 052 053 054 055 059 063 075
7.3 31 001 003 005.MI 005.MI.SA 007 009 011 013.MI 013.MI.SA 015 017 019 021.MI 021.MI.SA 023 024 025 026 027 029.MI 029.MI.SA 030 031 032 033 035 037 039 041 042 045
7.4 26 001.MI 001.MI.SA 003 005 007 009.MI 009.MI.SA 011 012 015 017 019 021.MI 021.MI.SA 023 025.MI 025.MI.SA 027 028 029 031 032 033 035 036 037
7.5 28 001.MI 001.MI.SA 003 005 007.MI 007.MI.SA 009 011 013 015 017 019 021 023.MI 023.MI.SA 025 027 029 032 034 035 036 037 039 041 043 045 049
7.6 27 001 003 005 006 008 009.MI 009.MI.SA 011 013 015 017 019.MI 019.MI.SA 021 023 025 027.MI 027.MI.SA 029 031 032 033 035 036 037 039 041
7.7 33 001 003 005 007 009 011.MI 011.MI.SA 013 015 017 019 020 021 023 025 027.MI 027.MI.SA 029 031 033 035 037.MI 037.MI.SA 039 041 043 045.MI 045.MI.SA 046 047 050 051 055
Chapter 8: Trigonometric Functions
8.1 23 001 003 005 007 009 011 013.MI 013.MI.SA 015.MI 015.MI.SA 017 019 021.MI 021.MI.SA 023 025 027 029 031 032 033 034 035
8.2 31 001 003 005.MI 005.MI.SA 007 009 011 013 014 015.MI 015.MI.SA 017 019 021 023 025.MI 025.MI.SA 027 029.MI 029.MI.SA 030 031 033 035 037 039 042 043 045 047 049
8.3 50 001 003 005.MI 005.MI.SA 007 009.MI 009.MI.SA 011 013 015 017 019 021 023 025 027 029 031 033.MI 033.MI.SA 035 037 039 041.MI 041.MI.SA 043 045 047 049 051 053 055 057 059 061 063 065 067 069.MI 069.MI.SA 072 073 074 075 077 079 081 083 087 088
8.4 36 001 003 005.MI 005.MI.SA 007 009 011 013 015 017 019.MI 019.MI.SA 021.MI 021.MI.SA 023 025 027 029 031 033 035 037 039 043 044 045 047 048 049 051.MI 051.MI.SA 052 055 059 060 061
8.5 36 001 003 005 007 009 011 013 015 017 018 020 021 023 029 031.MI 031.MI.SA 033 035.MI 035.MI.SA 037 038 039 041 043.MI 043.MI.SA 045 046 047 049 051 053.MI 053.MI.SA 055 057 059 063
Chapter 9: Differential Equations
9.1 42 001 004 005 007 009 011 013 015 016 017 019 021 022 023 025.MI 025.MI.SA 027 029 031 033 035 037.MI 037.MI.SA 039 041 043 047 049 051 052 053.MI 053.MI.SA 055 056 057 059 060 061 065 069 073 077
9.2 34 001 003 005 007 009 011 013 015 017 019.MI 019.MI.SA 021 023 025 027 031 033 035 036 037 039 040 041 042 043 045.MI 045.MI.SA 046 047 049.MI 049.MI.SA 051 055 059
9.3 32 001.MI 001.MI.SA 003 005 007 009 011 013 015 017 018 019.MI 019.MI.SA 021 023 025.MI 025.MI.SA 027 029 031 033 034 035 036 039 041 043 044 045 047 049 051
9.4 23 001.MI 001.MI.SA 003 005.MI 005.MI.SA 007 009 011 013 015 017 019 021 023 025.MI 025.MI.SA 026 027 028 029 030 031 035
Chapter 10: Sequences and Series
10.1 40 001.MI 001.MI.SA 003 005 007.MI 007.MI.SA 009 011 013 015 017 019 021 023 025 027 029 031 033 035 037 039.MI 039.MI.SA 041 043 045 047 049 051 055 057 061 063 065 067 069 071 073 077 079
10.2 26 003.MI 003.MI.SA 005 007 011 013 015 017 019.MI 019.MI.SA 020 023 025 027 028 029 031 032 033.MI 033.MI.SA 034 035 037 038 040 041
10.3 28 001 003 005 007.MI 007.MI.SA 009 011 014 015.MI 015.MI.SA 017 019 021 024 025 027 029 032 033 034 035 041.MI 041.MI.SA 042 043 045 047 049
10.4 26 001 003 005.MI 005.MI.SA 006 007 009.MI 009.MI.SA 010 011 013 015 017 018 019 025 027 031.MI 031.MI.SA 032 034 035 037 039 041 047
Chapter 11: Probability
11.1 32 001 003.MI 003.MI.SA 005 007 009 011 014 015.MI 015.MI.SA 017 019 021 022 023 024 025 026 027 028 029.MI 029.MI.SA 031 032 033 034 035 037 039 041 043 044
11.2 28 001 003 005 007 009 011.MI 011.MI.SA 013 014 015 017.MI 017.MI.SA 018 019 021 023 029.MI 029.MI.SA 030 031 033 035 036 039 041 043 045 051
11.3 27 001 002 003 005 007.MI 007.MI.SA 009 011 013 015 017 019.MI 019.MI.SA 021 023 025.MI 025.MI.SA 026 027 031 033 035 037 039 041 046 047
11.4 21 001.MI 001.MI.SA 003 005 007.MI 007.MI.SA 009 011 013 015 017 019 021 023 025 027 029 031 033 035 037
Total 1962