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Calculus: Concepts and Contexts 4th edition

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James Stewart
Publisher: Cengage Learning

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  • Stewart Calculus Concepts & Contexts 4e - Precalc Review
  • Stewart Calculus Concepts & Contexts 4e - Calculus 1
  • Stewart Calculus Concepts & Contexts 4e - Calculus 2
  • Stewart Calculus Concepts & Contexts 4e - Calculus 3

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  • Chapter 0: Diagnostic Tests
    • 0: Diagnostic Tests

  • 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

  • Chapter 1: Functions and Models
    • 1.1: Four Ways to Represent a Function
    • 1.2: Mathematical Models: A Catalog of Essential Functions
    • 1.3: New Functions from Old Functions
    • 1.4: Graphing Calculators and Computers
    • 1.5: Exponential Functions
    • 1.6: Inverse Functions and Logarithms
    • 1.7: Parametric Curves
    • 1: Review
    • 1: True False Quiz

  • Chapter 2: Limits and Derivatives
    • 2.1: The Tangent and Velocity Problems
    • 2.2: The Limit of a Function
    • 2.3: Calculating Limits Using Limit Laws
    • 2.4: Continuity
    • 2.5: Limits Involving Infinity
    • 2.6: Derivatives and Rates of Change
    • 2.7: The Derivative as a Function
    • 2.8: What does f' Say about f?
    • 2: Review
    • 2: True False Quiz

  • Chapter 3: Differentiation Rules
    • 3.1: Derivatives of Polynomials and Exponential Functions
    • 3.2: The Product and Quotient Rules
    • 3.3: Derivatives of Trigonometric Functions
    • 3.4: The Chain Rule
    • 3.5: Implicit Differentiation
    • 3.6: Inverse Trigonometric Functions and their Derivatives
    • 3.7: Derivatives of Logarithmic Functions
    • 3.8: Rates of Change in the Natural and Social Sciences
    • 3.9: Linear Approximations and Differentials
    • 3: Review
    • 3: True False Quiz

  • Chapter 4: Applications of Differentiation
    • 4.1: Related Rates
    • 4.2: Maximum and Minimum Values (1)
    • 4.3: Derivatives and the Shapes of Curves (1)
    • 4.4: Graphing with Calculus and Calculators
    • 4.5: Indeterminate Forms and l'Hospital's rule (2)
    • 4.6: Optimization Problems
    • 4.7: Newton's Method
    • 4.8: Antiderivatives (1)
    • 4: Review
    • 4: True False Quiz (1)

  • Chapter 5: Integrals
    • 5.1: Areas and Distances
    • 5.2: The Definite Integral
    • 5.3: Evaluating Definite Integrals
    • 5.4: The Fundamental Theorem of Calculus
    • 5.5: The Substitution Rule
    • 5.6: Integration by Parts
    • 5.7: Additional Techniques of Integration
    • 5.8: Integration Using Tables and Computer Algebra Systems
    • 5.9: Approximate Integration
    • 5.10: Improper Integrals
    • 5: Review
    • 5: True False Quiz

  • Chapter 6: Applications of Integration
    • 6.1: More about Areas
    • 6.2: Volumes
    • 6.3: Volumes by Cylindrical Shells
    • 6.4: Arc Length
    • 6.5: Average Value of a Function
    • 6.6: Applications to Physics and Engineering
    • 6.7: Applications to Economics and Biology
    • 6.8: Probability
    • 6: Review
    • 6: True False Quiz

  • Chapter 7: Differential Equations
    • 7.1: Modeling with Differential Equations
    • 7.2: Direction Fields and Euler's Method
    • 7.3: Separable Equations
    • 7.4: Exponential Growth and Decay
    • 7.5: The Logistic Equation
    • 7.6: Predator-Prey System
    • 7: Review
    • 7: True False Quiz

  • Chapter 8: Infinite Sequences and Series
    • 8.1: Sequences
    • 8.2: Series
    • 8.3: The Integral and Comparison Tests; Estimating Sums
    • 8.4: Other Convergence Tests
    • 8.5: Power Series
    • 8.6: Representations of Functions as Power Series
    • 8.7: Taylor and Maclaurin Series
    • 8.8: Applications of Taylor Polynomials
    • 8: Review
    • 8: True False Quiz

  • Chapter 9: Vectors and the Geometry of Space
    • 9.1: Three-Dimensional Coordinate System
    • 9.2: Vectors
    • 9.3: The Dot Product
    • 9.4: The Cross Product
    • 9.5: Equations of Lines and Planes
    • 9.6: Functions and Surfaces
    • 9.7: Cylindrical and Spherical Coordinates
    • 9: Review
    • 9: True False Quiz

  • Chapter 10: Vector Functions
    • 10.1: Vector Functions and Space Curves
    • 10.2: Derivatives and Integrals of Vector Functions
    • 10.3: Arc Length and Curvature
    • 10.4: Motion in Space: Velocity and Acceleration
    • 10.5: Parametric Surfaces
    • 10: Review
    • 10: True False Quiz

  • Chapter 11: Partial Derivatives
    • 11.1: Functions of Several Variables
    • 11.2: Limits and Continuity
    • 11.3: Partial Derivatives
    • 11.4: Tangent Planes and Linear Approximations
    • 11.5: The Chain Rule
    • 11.6: Directional Derivatives and the Gradient Vector
    • 11.7: Maximum and Minimum Values
    • 11.8: Lagrange Multipliers
    • 11: Review
    • 11: True False Quiz

  • Chapter 12: Multiple Integrals
    • 12.1: Double Integrals over Rectangles
    • 12.2: Iterated Integrals
    • 12.3: Double Integrals over General Regions
    • 12.4: Double Integrals in Polar Coordinates
    • 12.5: Applications of Double Integrals
    • 12.6: Surface Area
    • 12.7: Triple Integrals
    • 12.8: Triple Integrals in Cylindrical and Spherical Coordinates
    • 12.9: Change of Variables in Multiple Integrals
    • 12: Review
    • 12: True False Quiz

  • Chapter 13: Vector Calculus
    • 13.1: Vector Fields
    • 13.2: Line Integrals
    • 13.3: The Fundamental Theorem for Line Integrals
    • 13.4: Green's Theorem
    • 13.5: Curl and Divergence
    • 13.6: Surface Integrals
    • 13.7: Stokes' Theorem
    • 13.8: The Divergence Theorem
    • 13.9: Summary
    • 13: Review
    • 13: True False Quiz

  • Chapter A: Appendix A
    • A.A: Intervals, Inequalities, and Absolute Values
    • A.B: Coordinate Geometry
    • A.C: Trigonometry
    • A.D: Precise Definitions of Limits
    • A.E: A Few Proofs
    • A.F: Sigma Notation
    • A.G: Integration of Rational Functions by Partial Fractions
    • A.H: Polar Coordinates
    • A.I: Complex Numbers

  • Chapter PP: Principles of Problem Solving
    • PP.1: Chapter 1 Principles of Problem Solving
    • PP.2: Chapter 2 Principles of Problem Solving
    • PP.3: Chapter 3 Principles of Problem Solving
    • PP.4: Chapter 4 Principles of Problem Solving
    • PP.5: Chapter 5 Principles of Problem Solving
    • PP.6: Chapter 6 Principles of Problem Solving
    • PP.7: Chapter 7 Principles of Problem Solving
    • PP.8: Chapter 8 Principles of Problem Solving
    • PP.9: Chapter 9 Principles of Problem Solving
    • PP.10: Chapter 10 Principles of Problem Solving
    • PP.11: Chapter 11 Principles of Problem Solving
    • PP.12: Chapter 12 Principles of Problem Solving
    • PP.13: Chapter 13 Principles of Problem Solving

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Group Quantity Questions
Chapter 1: Functions and Models
1 0  
Chapter 2: Limits and Derivatives
2 0  
Chapter 3: Differentiation Rules
3 0  
Chapter 4: Applications of Differentiation
4.TF 20 001 002 003 004 005 006 007 008 009 010 011 012 013 014 015 016 017 018 019 020
4.1 38 003 004 005 006 008 010 011 012 013 014 015 016 017 018 020 021 022 024 025 026 027 028 029 030 031 032 033 034 035 036 037 038 039 040 041 042 043 044
4.2 38 017 018 019 020 021 022 025 026 027 028 029 030 031 032 033 034 035 037 038 043 044 045 046 047 048 049 050 051 053 054 055 056 057 058 059 060 063 065
4.3 46 002 005c 006 007 008 009 010 011 012 013 014 015 016 017 018 019 020 022 023 024 025 026 027 028 029 030 031 032 033 034 035 036 037 038 039 040 041 043 044 049 056 057 059 060 064 067
4.4 9 009 010 011 012 015 016 017 018 019
4.5 47 001 002 003 004 005 006 008 009 010 011 014 016 017 019 021 022 023 024 025 027 028 029 030 031 032 033 034 035 036 037 038 039 040 041 042 043 044 045 047 048 055 056 057 058 066 070 073
4.6 44 001 002 003 005 006 007 008 010 011 012 014 015 016 018 020 023 024 025 026 028 030 032 033 034 035 036 037 038 039 040 043 044 045 046 047 048 050 053 054 056 057 058 059 062
4.7 24 003 005 006 007 008 009 010 011 012 013 014 015 016 017 018 019 020 021 022 026 028 029 030 031
4.8 40 001 002 003 004 005 006 008 009 010 011 012 013 014 019 020 021 022 025 027 028 031 032 033 034 035 036 038 043 046 047 048 049 050 051 052 053 054 056 057 058
Chapter 5: Integrals
5 0  
Chapter 6: Applications of Integration
6 0  
Chapter 7: Differential Equations
7 0  
Chapter 8: Infinite Sequences and Series
8 0  
Chapter 9: Vectors and the Geometry of Space
9 0  
Chapter 10: Vector Functions
10 0  
Total 306  

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