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College Algebra and Calculus: An Applied Approach 2nd edition

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Ron Larson and Anne V. Hodgkins
Publisher: Brooks/Cole

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Table of Contents

  • Chapter 0: Fundamental Concepts of Algebra
    • 0.1: Real Numbers: Order and Absolute Value (26)
    • 0.2: The Basic Rules of Algebra (24)
    • 0.3: Integer Exponents (21)
    • 0.4: Radicals and Rational Exponents (21)
    • 0.5: Polynomials and Special Products (22)
    • 0.6: Factoring (29)
    • 0.7: Fractional Expressions (24)
    • Review Exercises
    • Test Yourself

  • Chapter 1: Equations and Inequalities
    • 1.1: Linear Equations (14)
    • 1.2: Mathematical Modeling (14)
    • 1.3: Quadratic Equations (23)
    • 1.4: The Quadratic Formula (15)
    • 1.5: Other Types of Equations (21)
    • 1.6: Linear Inequalities (22)
    • 1.7: Other Types of Inequalities (14)
    • Review Exercises
    • Test Yourself

  • Chapter 2: Functions and Graphs
    • 2.1: Graphs of Equations (21)
    • 2.2: Lines in the Plane (22)
    • 2.3: Linear Modeling and Direct Variation (7)
    • 2.4: Functions (24)
    • 2.5: Graphs of Functions (19)
    • 2.6: Transformations of Functions (15)
    • 2.7: The Algebra of Functions (15)
    • Review Exercises
    • Test Yourself

  • Chapter 3: Polynomial and Rational Functions
    • 3.1: Quadratic Functions and Models (15)
    • 3.2: Polynomial Functions of Higher Degree (16)
    • 3.3: Polynomial Division (18)
    • 3.4: Real Zeros of Polynomials Functions (18)
    • 3.5: Complex Numbers (20)
    • 3.6: The Fundamental Theorem of Algebra (12)
    • 3.7: Rational Functions (16)
    • Review Exercises
    • Test Yourself

  • Chapter 4: Exponential and Logarithmic Functions
    • 4.1: Inverse Functions (14)
    • 4.2: Exponential Functions (15)
    • 4.3: Logarithmic Functions (23)
    • 4.4: Properties of Logarithms (23)
    • 4.5: Solving Exponential and Logarithmic Equations (22)
    • 4.6: Exponential and Logarithmic Models (12)
    • Review Exercises
    • Test Yourself

  • Chapter 5: Systems of Equations and Inequalities
    • 5.1: Solving Systems Using Substitution (17)
    • 5.2: Solving Systems Using Elimination (16)
    • 5.3: Linear Systems in Three or More Variables (16)
    • 5.4: Systems of Inequalities (14)
    • 5.5: Linear Programming
    • Review Exercises
    • Test Yourself

  • Chapter 6: Matrices and Determinants
    • 6.1: Matrices and Linear Systems (18)
    • 6.2: Operations with Matrices (15)
    • 6.3: The Inverse of a Square-Matrix (20)
    • 6.4: The Determinant of a Square-Matrix (21)
    • 6.5: Applications of Matrices and Determinants (15)
    • Review Exercises
    • Test Yourself

  • Chapter 7: Limits and Derivatives
    • 7.1: Limits (16)
    • 7.2: Continuity (20)
    • 7.3: The Derivative and the Slope of a Graph (17)
    • 7.4: Some Rules for Differentiation (15)
    • 7.5: Rates of Change: Velocity and Marginals (20)
    • 7.6: The Product and Quotient Rules (17)
    • 7.7: The Chain Rule (18)
    • Review Exercises
    • Test Yourself

  • Chapter 8: Applications of the Derivative
    • 8.1: Higher-Order Derivatives (12)
    • 8.2: Implicit Differentiation (17)
    • 8.3: Related Rates (18)
    • 8.4: Increasing and Decreasing Functions (19)
    • 8.5: Extrema and the First-Derivative Test (18)
    • 8.6: Concavity and the Second-Derivative Test (18)
    • Review Exercises
    • Test Yourself

  • Chapter 9: Further Applications of the Derivative
    • 9.1: Optimization Problems (13)
    • 9.2: Business and Economic Applications (16)
    • 9.3: Asymptotes (8)
    • 9.4: Curve-Sketching: A Summary (15)
    • 9.5: Differentials and Marginal Analysis (10)
    • Review Exercises
    • Test Yourself

  • Chapter 10: Derivatives of Exponential and Logarithmic Functions
    • 10.1: Exponential Functions (7)
    • 10.2: Natural Exponential Functions (14)
    • 10.3: Derivatives of Exponential Functions (16)
    • 10.4: Logarithmic Functions (29)
    • 10.5: Derivatives of Logarithmic Functions (20)
    • 10.6: Exponential Growth and Decay (15)
    • Review Exercises
    • Test Yourself

  • Chapter 11: Integration and Its Applications
    • 11.1: Antiderivatives and Indefinite Integrals (20)
    • 11.2: Integration by Substitution and The General Power Rule (19)
    • 11.3: Exponential and Logarithmic Integrals (14)
    • 11.4: Area and the Fundamental Theorem of Calculus (24)
    • 11.5: The Area of a Region Bounded by Two Graphs (14)
    • 11.6: The Definite Integral as the Limit of a Sum (3)
    • Review Exercises
    • Test Yourself

  • Chapter 12: Techniques of Integration
    • 12.1: Integration by Parts and Present Value (24)
    • 12.2: Integration Tables (19)
    • 12.3: Numerical Integration (15)
    • 12.4: Improper Integrals (11)
    • Review Exercises
    • Test Yourself

  • Chapter 13: Functions of Several Variables
    • 13.1: The Three-Dimensional Coordinate System (21)
    • 13.2: Surfaces in Space (14)
    • 13.3: Functions of Several Variables (12)
    • 13.4: Partial Derivatives (20)
    • 13.5: Extrema of Functions of Two Variables (18)
    • 13.6: Lagrange Multipliers (14)
    • 13.7: Least Squares Regression Analysis (10)
    • 13.8: Double Integrals and Area in the Plane (15)
    • 13.9: Applications of Double Integrals (11)
    • Review Exercises
    • Test Yourself

  • Chapter 14: Trigonometric Functions (Web)*
    • 14.1: Radian Measure of Angles
    • 14.2: The Trigonometric Functions
    • 14.3: Graphs of Trigonometric Functions
    • 14.4: Derivatives of Trigonometric Functions
    • 14.5: Integrals of Trigonometric Functions
    • Review Exercises
    • Test Yourself

  • Chapter 15: Series and Taylor Polynomials (Web)*
    • 15.1: Sequences and Summation Notation
    • 15.2: Arithmetic Sequences and Partial Sums
    • 15.3: Geometric Sequences and Series
    • 15.4: Series and Convergence
    • 15.5: _-Series and Ratio Test
    • 15.6: Power Series and Taylor's Theorem
    • 15.7: Taylor Polynomials
    • 15.8: Newton's Method
    • Review Exercises
    • Test Yourself

  • Chapter 16: Probability (Web)
    • 16.1: Counting Principals
    • 16.2: Probability
    • 16.3: Discrete and Continuous Random Variables
    • 16.4: Expected Value and Variance
    • 16.5: Mathematical Induction
    • 16.6: The Binomial Theorem
    • Review Exercises
    • Test Yourself

  • Appendix A: An Introduction to Graphing Utilities (Web)
  • Appendix B: Conic Sections (Web)*
    • B.1: Conic Sections
    • B.2: Conic Sections and Translations

  • Appendix C: Further Concepts in Statistics (Web)*
    • C.1: Data and Linear Modeling
    • C.2: Measures of Central Tendency and Dispersion

  • Appendix D: Properties and Measurement (Web)*
    • D.1: Review of Algebra, Geometry and Trigonometry
    • D.2: Units of Measurement

  • Appendix E: Alternate Introduction to the Fundamental Theorem of Calculus (Web)
  • Appendix F: Differential Equations (Web)*
    • F.1: Solutions of Differential Equations
    • F.2: Separation of Variables
    • F.3: First-Order Linear Differential Equations
    • F.4: Applications of Differential Equations

  • Appendix G: Formulas (Web)
    • G.1: Differentiation and Integration Formulas
    • G.2: Formulas from Business and Finance

  • Appendix H: Graphing Utility Programs (Web)

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MI
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SBS
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XP
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Group Quantity Questions
Chapter 0: Fundamental Concepts of Algebra
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0.2 24 004 010 012.MI 014 016 018.SBS 020 022 024 026 030 032 034 036 038 040 042 050.MI 052 054.MI 056 058 060 066
0.3 21 004.MI 006 008 010 012 014 016 018 022 026 028 030 048 050 052 054.SBS 068 070 078 080 086.MI
0.4 21 014 026 032.MI 034 042 044.SBS 048 050.MI 052 058 066 070 078 080 090 094 096 097.MI 102 106 108
0.5 22 008 010 012 014 016 018.SBS 020.MI 022 024 026 028 030 036 040 042 044 046 048 050 052 060 065
0.6 29 002 004.MI 008 010 012.SBS 022 024 026 028.MI 030 034 036 038 042 044 046 048.MI 050 052 058 062 064 066 072 073 074 076 078 080
0.7 24 002.MI 004 008 010 016 018 020.MI 022.SBS 024 026 030 032 034 036 040 042 046 048 052 060.MI 062 064 066 068
Chapter 1: Equations and Inequalities
1.1 14 006.MI 008 012 014 020.MI 028.SBS 030 034 040 046 056.MI 062 064 068
1.2 14 008 036 039 044.MI 048 052 054 058 060 062 067 072 074.MI 075
1.3 23 006.MI 007 010 012 014 016 018 020.SBS 032 036 040 044 046 050 054 058 062 066 068 074 078 080.MI 084
1.4 15 002.MI 006 012 013.SBS 015 020 026 030.MI 036 038 042 052 066 070 074
1.5 21 004.SBS 006.MI 008 010 014 018 022 024 026 030.MI 034 038 040 043 048 052 060 066 068 074 078.MI
1.6 22 002 004.MI 008 022 026 030 032 036.SBS 040 044 046 050 056 066 068 070 076 078 084.MI 091 096 098
1.7 14 004.MI 014 018.SBS 030 034 038 042 046 048 050.MI 056 060 064 068
Chapter 2: Functions and Graphs
2.1 21 004.SBS 006 014.MI 018 020 022 036 042.MI 044 050 056 062 064 066 078 080 082 088 092 096 104.MI
2.2 22 004.MI 008 010.SBS 012 024 028 032 036.MI 040 044 050 056 060 064 070 074 077 078 079 084 086 092
2.3 7 006.MI 008 012 018 030 032.MI 034.MI
2.4 24 006 008 013 018 022 028 030.SBS 032 036 038 040 044 048 052.MI 058 060 064 066 070 072.MI 080.MI 083 088 089
2.5 19 004 008.MI 010 018 024 030.SBS 032 038 040.MI 044 048 049 054 058 066 070 072 076 093.MI
2.6 15 002 006 008 010.MI 020 030 036 040.MI 046 048 052 058 062 064.MI 066
2.7 15 002 006 014.MI 018 020 024 028 030.SBS 038 040.MI 042 044 054 061 067
Chapter 3: Polynomial and Rational Functions
3.1 15 004 010 012 018.SBS 022 028 034.MI 036 038.MI 040 042 048 050.MI 052 055
3.2 16 024.MI 026.SBS 028 030 032 034 036.MI 038 040 046 052 054 056 058 059 076.MI
3.3 18 004 010.MI 014 016 026.SBS 032 036.MI 040 042 044 046 052 064 068 072 074 076 085.MI
3.4 18 014 016.MI 020 022 024 026.MI 028 034.MI 038.SBS 042 046 048 054 055 062 066 070 073
3.5 20 002 004 008.MI 010 016 020 024 026 028.SBS 036 038 040 042 046.MI 054 058 064 066.MI 080 086
3.6 12 006 012 014 016 018 026.MI 030 032 038 048 052.SBS 054
3.7 16 008.MI 010 012 014 016 018 020 022 024 026 030 034.MI 052 068 076 082
Chapter 4: Exponential and Logarithmic Functions
4.1 14 002.MI 004 010.SBS 020.MI 024 026 028 030 034 054 059 060 071 074
4.2 15 004 007 042.MI 044 046 048 050 052 056.SBS 058.MI 060 062 066 068 070.MI
4.3 23 XP 001 012 014 020 030 032 036 048 054.SBS 056.MI 058 060 064.MI 066 068 080 081 083 090 094.MI 097 099
4.4 23 002 006 012 016 032 034.MI 040 042 048 050 056 060 064 070 076 078 084 086 100 101 104.SBS 106 111
4.5 22 002.MI 004 006 012 014 018 024 030.MI 032 036 042 046 052 056 074 076 080 084 088 092 102 103
4.6 12 008 014.SBS 020 024 028.MI 030 036 038.MI 042 046.MI 060 062
Chapter 5: Systems of Equations and Inequalities
5.1 17 002.MI 004 008 018 026 030 032.SBS 034 040 044 045 050 054 056 060 072 074.MI
5.2 16 004 010 014.MI 018.SBS 024 026.MI 030 032 034 046 048.SBS 050 052 056 060.MI 062
5.3 16 001 006 012 016.MI 020.SBS 021 024 030 036 038 042 046 050 054.MI 056 062
5.4 14 001 008 010 012 014 020 026.MI 028 032 036 042 048.SBS 054 062
Chapter 6: Matrices and Determinants
6.1 18 002 006 016 020 024 028.MI 030 036 042.MI 046 048 052 058 060 066.MI 082 084 086
6.2 15 002 024 026.SBS 030.MI 032 040 042.MI 044 048 050 066 074 075 084 086
6.3 20 002 004 011 016 018 024 028.MI 033 036 042 048 056 060 062.MI 066 068 072 076.SBS 078 086
6.4 21 002 004.SBS 008 010 012.MI 014 018 020 024.MI 030 032 036 038 046 052 054 056 058 062 074 082
6.5 15 002 004 008.MI 009 010 016 018 020.MI 022 028 030 032.MI 036.SBS 040 059
Chapter 7: Limits and Derivatives
7.1 16 002 006 010 022.MI 026 030 038 039.SBS 040.MI 046 052 054 062 066 070 072
7.2 20 002 004.MI 006 010 014 016 018 022 029 030.MI 034 040 042 046 048 052 056.SBS 061 063 069
7.3 17 008 010 012 016 022 026 028 032 036 040 042 044 054 057 064 066 070
7.4 15 006 012 018 026.SBS 030 044 048 052 054 056 058 060 066.MI 077 080
7.5 20 003 004 006.SBS 008 010 012 014 016.MI 017 019 022 024 026.MI 028 030.MI 032 034 037 042 044
7.6 17 004 005 010.MI 016 024 026.SBS 032 034 038 040 046 053 062 064.MI 066 072 074
7.7 18 004 008 012.MI 014 024 026.MI 028 032 038 040 048 053 056 062.SBS 066 068 070 073
Chapter 8: Applications of the Derivative
8.1 12 002 010 014 016 020.MI 022 026 027 030 032 036 038
8.2 17 002 006.MI 008 009 010 014 018.MI 023.SBS 024 028 032 034 036 038 042 044 046
8.3 18 001 002 003 004 005.MI 006 009 012 013 014 017.SBS 019.MI 020 021 022 023 024 025.MI
8.4 19 002 012 014 016 018.SBS 020 021 022 026 028.MI 030 032 034 036 041 042 044 047.MI 048
8.5 18 002.MI 004 005 006 008 010 014 016 022 024.MI 026 027 028.SBS 036 038 040 042 048
8.6 18 002 007.MI 012 014 019 026 030 034 038 040 044 048 050 058 060 064.SBS 066 070.MI
Chapter 9: Further Applications of the Derivative
9.1 13 001 003 012 015 020.SBS 022 024 026 030 032 033 035 037
9.2 16 002.MI 004 006 008 011 014 018 020.MI 021 022 024 026 028 030 036 041.SBS
9.3 8 002 008 016 034 036 038 048 056
9.4 15 002 004 006.MI 010.SBS 012 013 015 020 022 028 030 031 032 033 046
9.5 10 008 012 014 018 022 025 028.MI 030 037.MI 038
Chapter 10: Derivatives of Exponential and Logarithmic Functions
10.1 7 002 004 006.MI 010 014 018 024.MI
10.2 14 002 006 008 012.MI 022 026 028 030 032 034.MI 036.SBS 038 042 044.MI
10.3 16 XP 004 006 008 010 016 022 026 030 034 038 040 042.MI 047 050 052
10.4 29 002 004 006.MI 008 010 012 014 016 018 020.MI 022 024 026 028 032 034 040 042 048 052.MI 054 058 060 062 068 070 076 080 082
10.5 20 004 008 010 014 022 030 034 036 038 040 044 052 054.MI 056 060 064 074 076 078 083
10.6 15 002 004.MI 006 008 010 012 016 018.MI 026 028 030 032 034.SBS 038 045
Chapter 11: Integration and Its Applications
11.1 20 008 010 014.MI 018 022 024 026 030 034.MI 038 044 048 050 052 054 056 058 060.MI 065 068
11.2 19 002 004 006 008 010.MI 012 016 020 024 031.SBS 032.MI 034 036 040 044 048 050 052.MI 058
11.3 14 002.MI 004 008 011 014 020 022 024.MI 026.SBS 028 030 042 050 052
11.4 24 002 006 010 012.MI 016 018 020 022 028 032 033 034.SBS 036 038 042 044 046 048.MI 052 056 060 070 074 076
11.5 14 002 004 008.SBS 010 012 014 018 036 038 040 042.MI 044 050.MI 053
11.6 3 002.MI 014 027
Chapter 12: Techniques of Integration
12.1 24 002 004 006 007 008 010 012 016 018.MI 020 022 026 028 032.SBS 034 040 041 048 052 064 066 068.MI 070 072
12.2 19 002 004.MI 006 008 010.SBS 014.MI 016 018 022 024 026 032 034 040 042 046 050 056 061.MI
12.3 15 002.MI 004 006 010 018 020 022.SBS 023 024 026 032 036 038.MI 040 042
12.4 11 002 004 008 010.MI 014 018 029 032.SBS 034 036.MI 040
Chapter 13: Functions of Several Variables
13.1 21 006 007 008 012 014 016.SBS 018.MI 020 022 024 026 028 030 032 034 036 038 040.MI 042 044 057
13.2 14 014.MI 016 018 020 022 023 036 038 040 042 044 046 048.MI 049
13.3 12 002 004 006 008.MI 010 012 014 018 022 032 044.SBS 046
13.4 20 002.MI 004 006 008 010 012 014 016 018 020 022 036 040.SBS 042 046 054 060 062 064 069
13.5 18 002 004 006.MI 008 010 012 014 020 022.MI 026 028 030 032 034 038.SBS 040 044 048.MI
13.6 14 006.MI 008 010.MI 014 018 021.MI 024 026 029 031 034 038 040 041
13.7 10 006 009.MI 010 012 014 018 020 024 026.MI 028
13.8 15 003 008 010 012 014 016 020 021 022.MI 026 029 032 034 038 048
13.9 11 002.MI 010 016.SBS 020 022 024 026 028 030 032 036
Chapter 14: Trigonometric Functions (Web)*
14 0  
Chapter 15: Series and Taylor Polynomials (Web)*
15 0  
Chapter 16: Probability (Web)
16 0  
Total 1475  
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