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Calculus 9th edition

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Ron Larson and Bruce H. Edwards
Publisher: Cengage Learning

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  • Chapter 0: Preparation for Calculus
    • 0.1: Graphs and Models
    • 0.2: Linear Models and Rates of Change
    • 0.3: Functions and Their Graphs
    • 0.4: Fitting Models to Data

  • Chapter 1: Limits and Their Properties
    • 1.1: A Preview of Calculus
    • 1.2: Finding Limits Graphicalls and Numerically
    • 1.3: Evaluating Limits Analytically
    • 1.4: Continuity and One-Sided Limits
    • 1.5: Infinite Limits

  • Chapter 2: Differentiation
    • 2.1: The Derivative and the Tangent Line Problem (3)
    • 2.2: Basic Differentiation Rules and Rates of Change (1)
    • 2.3: Product and Quotient Rules and Higher-Order Derivatives2 (2)
    • 2.4: The Chain Rule
    • 2.5: Implicit Differentiation
    • 2.6: Related Rates (1)

  • Chapter 3: Applications of Differentiation
    • 3.1: Extrema on an Interval
    • 3.2: Rolle's Theorem and the Mean Value Theorem
    • 3.3: Increasing and Decreasing Functions and the First Derivative Test
    • 3.4: Concavity and the Second Derivative Test
    • 3.5: Limits at Infinity
    • 3.6: A summary of Curve Sketching
    • 3.7: Optimization Problems
    • 3.8: Newton's Method
    • 3.9: Differentials

  • Chapter 4: Integration
    • 4.1: Antiderivatives and Indefinite Integration
    • 4.2: Area
    • 4.3: Riemann Sums and Definite Integrals
    • 4.4: The Fundamental Theorem of Calculus
    • 4.5: Integration by Substitution
    • 4.6: Numerical Integration

  • Chapter 5: Logarithmic, Exponential, and Other Transcendental Functions
    • 5.1: The Natural Logarithmic Function: Differentiation
    • 5.2: The Natural Logarithmic Function: Integration
    • 5.3: Inverse Functions
    • 5.4: Exponential Functions: Differentiation and Integration
    • 5.5: Exponential Functions: Differentiation and Integration
    • 5.6: Inverse Trigonometric Functions: Differentiation
    • 5.7: Inverse Trigonometric Functions: Integration
    • 5.8: Hyperbolic Functions

  • Chapter 6: Differential Equations
    • 6.1: Slope Fields and Euler's Method
    • 6.2: Differential Equations: Growth and Decay
    • 6.3: Separation of Variables and the Logistic Equation
    • 6.4: First-Order Linear Differential Equations

  • Chapter 7: Applications of Integration
    • 7.1: Area of a Region Between Two Curves
    • 7.2: Volume: The Disk Method
    • 7.3: Volume: The Shell Method
    • 7.4: Arc Length and Surfaces of Revolution
    • 7.5: Work
    • 7.6: Moments, Centers of Mass, and Centroids
    • 7.7: Fluid Pressure and Fluid Force

  • Chapter 8: Integration Techniques, L'Hopital's Rule, and Improper Integrals
    • 8.1: Basic Integration Rules
    • 8.2: Integration by Parts
    • 8.3: Trigonometric Integrals
    • 8.4: Trigonometric Substitution
    • 8.5: Partial Fractions
    • 8.6: Integration by Tables and Other Integration Techniques
    • 8.7: Indeterminate Forms and L'Hopital's Rule
    • 8.8: Improper Integrals

  • Chapter 9: Infinite Series
    • 9.1: Sequences
    • 9.2: Series and Convergence
    • 9.3: The Integral Test and p-Series
    • 9.4: Comparisons of Series
    • 9.5: Alternating Series
    • 9.6: The Ratio and Root Tests
    • 9.7: Taylor Polynomials and Approximations
    • 9.8: Power Series
    • 9.9: Representation of Functions by Power Series
    • 9.10: Taylor and Maclaurin Series

  • Chapter 10: Conics, Parametric Equations, and Polar Coordinates
    • 10.1: Conics and Calculus
    • 10.2: Plane Curves and Parametric Equations
    • 10.3: Parametric Equations and Calculus
    • 10.4: Polar Coordinates and Polar Graphs
    • 10.5: Area and Arc Length in Polar Coordinates
    • 10.6: Polar Equations of Conics and Kepler's Laws

  • Chapter 11: Vectors and the Geometry of Space
    • 11.1: Vectors in the Plane
    • 11.2: Space Coordinates and Vectors in Space
    • 11.3: The Dot Product of Two Vectors
    • 11.4: The Cross Product of Two Vectors in Space
    • 11.5: Lines and Planes in Space
    • 11.6: Surfaces in Space
    • 11.7: Cylindrical and Spherical Coordinates

  • Chapter 12: Vector-Valued Functions
    • 12.1: Vector-Valued Functions
    • 12.2: Differentiation and Integration of Vector-Valued Functions
    • 12.3: Velocity and Acceleration
    • 12.4: Tangent Vectors and Normal Vectors
    • 12.5: Arc Length and Curvature

  • Chapter 13: Functions of Several Variables
    • 13.1: Introduction to Functions of Several Variables
    • 13.2: Limits and Continuity
    • 13.3: Partial Derivatives
    • 13.4: Differentials
    • 13.5: Chain Rules for Functions of Several Variables
    • 13.6: Directional Derivatives and Gradients
    • 13.7: Tangent Planes and Normal Lines
    • 13.8: Extrema of Functions of Two Variables
    • 13.9: Applications of Extrema of Functions of Two Variables
    • 13.10: Lagrange Multipliers

  • Chapter 14: Multiple Integration
    • 14.1: Iterated Integrals and Area in the Plane
    • 14.2: Double Integrals and Volume
    • 14.3: Change of Variables: Polar Coordinates
    • 14.4: Center of Mass and Moments of Inertia
    • 14.5: Surface Area
    • 14.6: Triple Integrals and Applications
    • 14.7: Triple Integrals in Cylindrical and Spherical Coordinates
    • 14.8: Change of Variables: Jacobians

  • Chapter 15: Vector Analysis
    • 15.1: Vector Fields
    • 15.2: Line Integrals
    • 15.3: Conservative Vector Fields and Independence of Path
    • 15.4: Green's Theorem
    • 15.5: Parametric Surfaces
    • 15.6: Surface Integrals
    • 15.7: Divergence Theorem
    • 15.8: Stokes's Theorem

  • Chapter 16: Additional Topics in Differential Equations
    • 16.1: Exact First-Order Equations
    • 16.2: Second-Order Homogeneous Linear Equations
    • 16.3: Second-Order Nonhomogeneous Linear Equations
    • 16.4: Series Solutions of Differential Equations

  • Chapter QP: Quick Prep Topics
    • QP.1 Definition and Representations of Functions
    • QP.2 Working with Representations of Functions
    • QP.3 Function Notation
    • QP.4 Domain and Range of a Function
    • QP.5 Solving Linear Equations
    • QP.6 Linear Functions
    • QP.7 Parabolas
    • QP.8 Factoring Quadratic Equations and Finding x-intercepts of a Quadratic Function
    • QP.9 Polynomials
    • QP.10 More about Factoring Polynomials
    • QP.11 Finding Roots
    • QP.12 Dividing Polynomials
    • QP.13 Rational Functions
    • QP.14 Root Functions
    • QP.15 Rationalizing the Numerator or Denominator
    • QP.16 Exponential Functions
    • QP.17 Logarithmic Functions
    • QP.18 Trigonometric Functions and the Unit Circle
    • QP.19 Graphs of Trigonometric Functions
    • QP.20 Trigonometric Identities
    • QP.21 Special Functions
    • QP.22 Algebraic Combinations of Functions
    • QP.23 Composition of Functions
    • QP.24 Transformations of Functions
    • QP.25 Inverse Functions

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Group Quantity Questions
 Chapter P
P.1 001 004 005 009 011 014 017 022 029.SBS 038 041 052 056 058 059 063 066 068 071 073 075 076 077 078 079 082 083 084 085 086 087 088
P.2 001 002 004 007 010 012 013 014 015 016 018 019 020 021 022 023 024 025 026.SBS 028 029 030 031 033 034 035 036 037 040 041 042 044 047 051 056 058 061 062 063 064 065 067.SBS 070 071 074 079 080 081 082 083 084 086 087 091
P.3 003 006 011 012 014 016 020 026 027 029 031 035 043 046 048 061 063 066 070 085.SBS 086 087 089 096 097
P.4 002 005 006 007 008 009 010 011 012 013 015 016 017.SBS 018
Chapter 1: Limits and Their Properties
1.1 001 002 003 004 005.SBS 006 007 008 009
1.2 001 002 003 007 009 018 019 020 021 025 026 028 029 031 033 034 035 036 037 039.SBS 042 043 044 048 050 051 054 065 066 068 069
1.3 005 006 007 013 014 017 020 021 022 024 027 028 032 038 040 041 044 046 049 051.SBS 052.SBS 053 056 061 063 068 077 084 085 088 090 103 104 105 106 125
1.4 010 014 018 024 029 035 039 044 048 050 054 055 058 063.SBS 066 067 068 077 078 079 080 091 094 103 105 106 112 113 114 115 117
1.5 001 003 005 006 009 013 014 020 021 022 028 029 031 032 033 037 038 042 047 048 051 052 053 054.SBS 057 065 066 067 068 069 072
Chapter 2: Differentiation
2.1 48 001 004.MI 006 008.MI 011.MI 012 014 016 017.MI 018.MI 020 021.MI 022 023.MI 024.MI 025 029 030 031 032 033.MI 034 035 040 043.MI 044 053 056.MI 057.MI 058 060 061 062.MI 069 071 073.MI 076.MI 081.MI 084 085 086 087 088 089 093 094.MI 097.MI 102
2.2 52 001 002 003 004 006.MI 009.MI 012 013 018 019.MI 022 024.MI 025 026.MI 028 029.MI 030 031 032 035.MI 036 037 040.MI 041 043.MI 045 046 049.MI 052 054.MI 060 061.MI 062 064.MI 068 069.MI 081.MI 093 094.MI 097.MI 098 099 100.MI 105 106.MI 107.MI 108 109 110.MI 112 113.MI 118 119
2.3 48 002 005.MI 007 012.MI 013.MI 016.MI 021.MI 023 025 026 028.MI 029 031.MI 035 038 039.MI 041 046.MI 049 053.MI 059.MI 067 069 071.MI 074.MI 075 077 081.MI 083.MI 084 085 087.MI 088 092 093.MI 095.MI 096 097.MI 099.MI 102.MI 103 105.MI 108 117 118.MI 119 132 139
2.4 43 001.MI 002 008.MI 010 011 014.MI 017 018 020.MI 021 024.MI 027 030.MI 035 038 043 045 046.MI 047.MI 049 053.MI 056.MI 058.MI 061 064.MI 068 070.MI 071 074.MI 089.MI 090 091 093.MI 095.MI 098 111.MI 112 113.MI 114 115.MI 116 117 124 126
2.5 34 002.MI 004 006.MI 008 010.MI 012.MI 014 017 019.MI 021 022 024.MI 026 027.MI 030 031 032.MI 033.MI 034 037.MI 039 041 046.MI 049 053.MI 057.MI 059 061 062.MI 066 068.MI 072 077.MI 080.MI
2.6 29 001 002.MI 003 004 005 006.MI 008.MI 011 012.MI 017 018.MI 019 020 021.MI 023 024.MI 025 026 027.MI 028.MI 029.MI 030 031 032 033.MI 035.MI 039 041.MI 043.MI
Chapter 3: Applications of Differentiation
3.1 001 002 004 006 007 009 011 012 013 015 016 017 019 021 022 023 024 025.SBS 027 028 029 031 033 035 037 039 040 041 043 045 046 054 061 062 063 064
3.2 004 005 006 007 008 009 010 011 012 013 015 017 019 020 021 023 025 027 028 029 030 038 039 040 043 045 046 048 053 054 059.SBS 060.SBS 061.SBS 062 071 072 074 076
3.3 001 002 004 005 007 009.SBS 010 011 013 015 017 019 021 024 026 027 031 032 033 035 036 039 041 043 045 046 048 050 067 069 070 081 082 085 086 089 090 091 092 093 094
3.4 001 004 005 006 007 009 011 012 013 014 015 017 018 019 021 022 024 027 028 030 031 032 034 037 040 041 043 045 047 048 049 051 073 074 075 077 079 080 081 082
3.5 002 003 004 006 007 008 010 012 014 015 016 018 019 021.SBS 023 024 026 027 030 031 033 036 037 039 041 042 044 045 047 050 051 068 087 088 089 090 091 092 093 094 096 097 098 099
3.6 002 004 006 007 008 009 011 012 013 015 017 019 021 022 023 025 027 029 031 037 039 040 041 043 045 046 048 068 070 072 075 077 078 079
3.7 001 003 004 005 006 007 008 009 010 011 012 013 014 015 016 017 019 020 021 022 023 024 025 026 027.SBS 028 029 030 033 035 039 040 041 043 045 047 048 049 054 056 058 060
3.8 001 002 003 004 005 006 007 008 009 010 011 012 013 014 015 016 017 018 019 020 025 026 035 036 037 038 039 040
3.9 001 002 004 005 006 007 009 011 012 013 015 016 017 019 021 023 024 026 027 028 029 030 031 032 033 034 035 036 037 039 041 042 043 044 045
Chapter 4: Integration
4.1 005 006 007 008 009 010 011 012 014 016 017 020 021 022 023 024 025 027 030 031 032 033 034 035 036 038 039 040 043 049 050 057.SBS 058 060 061 062 063 064 065 066 071 073 074 076 077 078 079 081 083 084 085 086 087 089 096
4.2 001 002 003 004 005 007 009 010 011 015 017 018 019 021 023 024 025 038 044 054 076 092
4.3 006 014 022 023 026 034 042 048
4.4 003 006 008 018 023 024 029 036 041 050 056 062 068 090 111
4.5 002 012 014 022 030 034 040 042 050.SBS 056 066 076 088 104 116 124
4.6 006 008 010 012 025 029 030 034 040 047 051 053
Chapter 5: Logarithmic, Exponential, and Other Transcendental Functions
5.1 003 006 008 010 011 016 020 023 033 034 035 039 041 042 043 047 052 055 058 063 064 066 070 074 084 096 116
5.2 004 008 013.SBS 016 024 030 034 038 060 068 074 102
5.3 010 012 013 015 016 018 020 023 025 026 027 030 034 036 039 040 042 044 046 053 056 057 062 067 068 069 070 071 076 078.SBS 083 085 087 088 091 094 099 112 113
5.4 001 003 006 010 015 016 017 019 022 026 028 032 033 036 038 048 049 052 053 056 058 064 065.SBS 067 072 074 079 082 087 089 091 092 093 094 100 106 128 139 140 141 142
5.5 002 004 005 008 011 014 015 019 022 025 028 030 035 038 041 043 045 048 052 055 059 062 064 067 070 071 076 078 082.SBS 084 087 089 095 096 097 101 105 106 108 109 110 111 112 114 115 117 128 131
5.6 001 004 006 008 011 013 016 018 021 024 030 034 035 038 040 041 046 050 052 056 060 062 063 073 075 079 081.SBS 084 089 097 099 100 101 102 105 109 110
5.7 001 004 006 007 010 011 013.SBS 015 017 019 022 023 025 027 028 029 032 033 035 038 039 042 043 047 049 052 054 061 063 066 072 075 077 082 090 091
5.8 001 004 018 019 022 023 026 030 032 034 035 044 045 047 048 051 054 057 060 063 065 067 069 072 079 082 084 087 090 094 097 100 102 104 105 107 109 112
Chapter 6: Differential Equations
6.1 001 004 007 009 012 013 016 018 020 021 024 026 028 030 031 033 035 036 037 039 041 043 044 047 049 054 056 058 060 065 073 075 077 079 083 093 095 096 097
6.2 002 004 005 007 009 010 011 013 015 017 018 020 021 024 025 028 033 040 041 042 043 046 049 050 051 053 056 057 059 061 063 064 065 069 070 071 072 073
6.3 001 003 004 006 008 010 012 015 016 018 020 021 022 024 025 028 029 030 034 038 039 042 044 045 048 049 053 056 057 058 059 063 064 065 067 070 072 075 079 082 083 084 090
6.4 001 004 005 008 009 010 012 013 015 017 020 022 024 026 027 028 029 030 031 032 034 037 039 043 046 047 052 053 054 055 058 059 061 062 065 068 070
Chapter 7: Applications of Integration
7.1 001 002 004 005 006.SBS 007 008 010 014 015 016 018 019 022 024 027 028 029 030 031 032 033 034 037 041 043 045 046 048 051 052 053 057 060 061 064 068 069 070 071 073 082 083 085 086 087 089 091 093 094 095 096 097 098
7.2 001 002 004 005 008 011 012 013 015 017 018 020 022 023 024 025 027 029 032 034 035 037 039 040 041 043 045 049 057 058 059 060 061 063 064 066 068 071 072 073 075 078 079 080
7.3 002 003 005 008 010 013 016 017 020 022 023 024 026 029 030 033 035 037 045 046 047 049 051 053 056 057 059 060 061 062 063 064
7.4 006 010 026 032 034 068 070
7.5 002 006 012 016 022 030
7.6 002 008 010 018 030 038 052
7.7 006 008 016 018 028
Chapter 8: Integration Techniques, L'Hopital's Rule, and Improper Integrals
8.1 002 008 018 026 038 044 064 074 099 104
8.2 002 004 011 012 015 016 018 022 024.SBS 028 042 052 060 072 096 108
8.3 004 008 016 024 026 038 046 054 068 092 096
8.4 008 010 016 020 022 030 038 044 050 054 068 080
8.5 004 008 010 013 017 018 028 032 042 061 063 066
8.6 002 006 010 020 030 040 066 082
8.7 002 008 014 026 036 096
8.8 002 004 010 014 021 022 032 038 040 050 062 070 078 082 088
Chapter 9: Infinite Series
9.1 004 010 014 024 032 038 052 062 072 090 106
9.2 002 006 019 022 038 042 052 058 065 086 102 110 118 121
9.3 002 018 034 040 043 084 086 092
9.4 004 014 016 028 032
9.5 001 014 020 032 036 056 060 070 084 096
9.6 005 018 026 034 042 050 054 066 070 078 084 088 107
9.7 002 014 022 026 030 040 042 051 058
9.8 002 008 014 024 034 036 038 046 054 084
9.9 002 006 012 016 026 032 066
9.10 002 012 024 033 044 053 068 076 088
Chapter 10: Conics, Parametric Equations, and Polar Coordinates
10.1 006 012 020 024 026 032 038 046 060 070 074 082 094
10.2 040 042 076
10.3 002 006 016 026 040 046 058 068 074 096
10.4 024 026 030 038 064 070
10.5 002 008 022 026 034 048 052 058 078
10.6 008 016 022 036 068 072
Chapter 11: Vectors and the Geometry of Space
11.1 024 030 036 040 042 048 054 056 066 070 081 092
11.2 008 016 024 026 032 036 038 042 060 066 072 084 100
11.3 002 008 010 014 018 020 028 036 042 060 074
11.4 002 008 012 028 034 042 046 048
11.5 020 024 029 044 050 054 058 063 086 100 104 106
11.6 004 006 048 060 062
11.7 004 012 016 032 038 044 068 092 094
Chapter 12: Vector-Valued Functions
12.1 002 008 022 052 073 076
12.2 016 022 024 030 034 044 050 054 060 062 070
12.3 012 019 024 030 038 054
12.4 006 012 024 030 032 036 074
12.5 008 012 022 028 032 040 048 084
Chapter 13: Functions of Several Variables
13.1 008 017 046 050 051 068 076 082 083.SBS
13.2 006 016 033 053 061 074
13.3 014 026 040 042 052 054 062 066 068 078 086.SBS 088 120 124 126 128
13.4 004 015 017 032 040
13.5 010 014 016 022 026 028 036 040 054 055
13.6 002 011 014 018 022 028 034 042 051 066
13.7 007 016 018 022 032 042 048
13.8 008 009 024 032 034 038 040 042 044 048
13.9 002 004 006 010 014 022 026.SBS 028 030 034 035 043 044
13.10 002 012 016 029 047 048
Chapter 14: Multiple Integration
14.1 002 006.SBS 008 010 013 019 022 030 032 036 037 038 040 042 056 064 070 073 088
14.2 002 009 012 014 018 022 024 026.SBS 028 030 034 039 044 054 060 063
14.3 006 012 022 028 036 040 048 066
14.4 004 020 022 028 032 040 046
14.5 002 010 016 020 026
14.6 008 017 020 030 040 058 070 076
14.7 006 010 014 024 026 036 038 040
14.8 002 016 020 024 040
Chapter 15: Vector Analysis
15.1 001 028 038 045 050 064
15.2 007 014 016 022 030 062 066
15.3 006 012 016 020 036
15.4 008 014 020 022 034
15.5 002 022 032 036 042 056
15.6 002 012 015 020 036
15.7 008 018 020
15.8 004 014 020
Chapter 16: Additional Topics in Differential Equations
16 0  
Total 254 (1870)  

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