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Calculus: Early Transcendentals 11th edition

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George B. Thomas, Jr., Maurice D. Weir, Joel Hass, and Frank R. Giordano
Publisher: Addison Wesley

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Table of Contents

  • Chapter 1: Functions
    • 1.1: Functions and Their Graphs (9)
    • 1.2: Identifying Functions; Mathematical Models (9)
    • 1.3: Combining Functions; Shifting and Scaling Graphs (11)
    • 1.4: Graphing with Calculators and Computers
    • 1.5: Exponential Functions (10)
    • 1.6: Inverse Functions and Logarithms (17)

  • Chapter 2: Limits and Continuity
    • 2.1: Rates of Change and Limits (7)
    • 2.2: Calculating Limits Using the Limit Laws (7)
    • 2.3: The Precise Definition of a Limit (7)
    • 2.4: One-Sided Limits and Limits at Infinity (11)
    • 2.5: Infinite Limits and Vertical Asymptotes (7)
    • 2.6: Continuity (9)
    • 2.7: Tangents and Derivatives (5)

  • Chapter 3: Differentiation
    • 3.1: The Derivative as a Function (8)
    • 3.2: Differentiation Rules for Polynomials, Exponentials, Products, and Quotients (8)
    • 3.3: The Derivative as a Rate of Change (5)
    • 3.4: Derivatives of Trigonometric Functions (6)
    • 3.5: The Chain Rule and Parametric Equations (10)
    • 3.6: Implicit Differentiation (6)
    • 3.7: Derivatives of Inverse Functions and Logarithms (6)
    • 3.8: Inverse Trigonometric Functions (4)
    • 3.9: Related Rates (4)
    • 3.10: Linearization and Differentials (5)

  • Chapter 4: Applications of Derivatives
    • 4.1: Extreme Value of Functions (7)
    • 4.2: The Mean Value Theorem (5)
    • 4.3: Monotonic Functions and the First Derivative Test (8)
    • 4.4: Concavity and Curve Sketching (6)
    • 4.5: Applied Optimization Problems (8)
    • 4.6: Indeterminate Forms and L'Hopital's Rule (6)
    • 4.7: Newton's Method (4)
    • 4.8: Antiderivatives (9)

  • Chapter 5: Integration
    • 5.1: Estimating with Finite Sums (7)
    • 5.2: Sigma Notation and Limits of Finite Sums (8)
    • 5.3: The Definite Integral (11)
    • 5.4: The Fundamental Theorem of Calculus (8)
    • 5.5: Indefinite Integrals and the Substitution Rule (9)
    • 5.6: Substitution and Area Between Curves (10)

  • Chapter 6: Applications of Definite Integrals
    • 6.1: Volumes by Slicing and Rotation About an Axis (5)
    • 6.2: Volumes by Cylindrical Shells (8)
    • 6.3: Lengths of Plane Curves (6)
    • 6.4: Moments and Centers of Mass (11)
    • 6.5: Areas of Surfaces of Revolution and the Threorems of Pappus (11)
    • 6.6: Work (9)
    • 6.7: Fluid Pressures and Forces (3)

  • Chapter 7: Integrals and Trancendental Functions
    • 7.1: The Logarithm Defined as an Integral (5)
    • 7.2: Exponential Growth and Decay (11)
    • 7.3: Relative Rates of Growth (3)
    • 7.4: Hyperbolic Functions (7)

  • Chapter 8: Techniques of Integration
    • 8.1: Basic Integration Formulas
    • 8.2: Integration by Parts (7)
    • 8.3: Integration of Rational Functions by Partial Fractions (7)
    • 8.4: Trigonometric Integrals (6)
    • 8.5: Trigonometric Substitutions (6)
    • 8.6: Integral Tables and Computer Algebra Systems (5)
    • 8.7: Numerical Integration (2)
    • 8.8: Improper Integrals (7)

  • Chapter 9: Further Applications of Integration
    • 9.1: Slope Fields and Separable Differential Equations (8)
    • 9.2: First-Order Linear Differential Equations (9)
    • 9.3: Euler's Method (4)
    • 9.4: Graphical Solutions of Autonomous Differential Equations (5)
    • 9.5: Applications of First-Order Differential Equations (7)

  • Chapter 10: Conic Sections and Polar Coordinates
    • 10.1: Conic Sections and Quadratic Equations (15)
    • 10.2: Classifying Conic Sections by Eccentricity (12)
    • 10.3: Quadratic Equations and Rotations (8)
    • 10.4: Conics and Parametric Equations; The Cycloid (3)
    • 10.5: Polar Coordinates (7)
    • 10.6: Graphing in Polar Coordinates (3)
    • 10.7: Areas and Lengths in Polar Coordinates (6)
    • 10.8: Conic Sections in Polar Coordinates (4)

  • Chapter 11: Infinite Sequences and Series
    • 11.1: Sequences (10)
    • 11.2: Infinite Series (9)
    • 11.3: The Integral Test (5)
    • 11.4: Comparison Tests (4)
    • 11.5: The Ratio and Root Tests (5)
    • 11.6: Alternating Series, Absolute and Conditional Convergence (5)
    • 11.7: Power Series (6)
    • 11.8: Taylor and Maclaurin Series (6)
    • 11.9: Convergence of Taylor Series; Error Estimates (5)
    • 11.10: Applications of Power Series (5)
    • 11.11: Fourier Series (2)

  • Chapter 12: Vectors and the Geometry of Space
    • 12.1: Three-Dimensional Coordinate Systems (12)
    • 12.2: Vectors (9)
    • 12.3: The Dot Product (8)
    • 12.4: The Cross Product (9)
    • 12.5: Lines and Planes in Space (9)
    • 12.6: Cylinders and Quadric Surfaces (12)

  • Chapter 13: Vector-Valued Functions and Motion in Space
    • 13.1: Vector Functions (8)
    • 13.2: Modeling Projectile Motion (6)
    • 13.3: Arc Length and the Unit Tangent Vector T (5)
    • 13.4: Curvature and the Unit Normal Vector N (4)
    • 13.5: Torsion and the Unit Binormal Vector B (4)
    • 13.6: Planetary Motion and Satellites (5)

  • Chapter 14: Partial Derivatives
    • 14.1: Functions of Several Variables (8)
    • 14.2: Limits and Continuity in Higher Dimensions (10)
    • 14.3: Partial Derivatives
    • 14.4: The Chain Rule
    • 14.5: Directional Derivatives and Gradient Vectors
    • 14.6: Tangent Planes and Differentials
    • 14.7: Extreme Values and Saddle Points
    • 14.8: Lagrange Multipliers
    • 14.9: Partial Derivatives with Constrained Variables
    • 14.10: Taylor's Formula for Two Variables (3)

  • Chapter 15: Multiple Integrals
    • 15.1: Double Integrals (8)
    • 15.2: Areas, Moments, and Centers of Mass (6)
    • 15.3: Double Integrals in Polar Form (7)
    • 15.4: Triple Integrals in Rectangular Coordinates (7)
    • 15.5: Masses and Moments in Three Dimensions (5)
    • 15.6: Triple Integrals in Cylindrical and Spherical Coordinates (11)
    • 15.7: Substitutions in Multiple Integrals (3)

  • Chapter 16: Integration in Vector Fields
    • 16.1: Line Integrals
    • 16.2: Vector Fields, Work, Circulation, and Flux
    • 16.3: Path Independence, Potential Functions, and Conservative Fields
    • 16.4: Green's Theorem in the Plane
    • 16.5: Surface Area and Surface Integrals
    • 16.6: Parametrized Surfaces
    • 16.7: Stokes' Theorem
    • 16.8: The Divergence Theorem and a Unified Theory

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Group Quantity Questions
Chapter 1: Functions
1.1 9 002 006 010 014 016 020 028 038 041
1.2 9 002 004 010 018 020 024 030 034 036
1.3 11 002 004 006 012 014 018 020 022 028 056 060
1.5 10 012 014 016 018 020 022 024 030 034 036
1.6 17 020 022 026 028 030 032 034 036 040 042 044 046 048 050 052 054 064
Chapter 2: Limits and Continuity
2.1 7 004 006 010 022 028 030 032
2.2 7 002 006 014 020 024 044 050
2.3 7 016 020 024 030 032 052 056
2.4 11 002 004 014 016 022 026 034 038 052 070 074
2.5 7 002 004 008 010 018 022 044
2.6 9 006 008 014 018 022 030 032 052 058
2.7 5 012 016 028 030 034
Chapter 3: Differentiation
3.1 8 002 004 006 008 012 016 024 046
3.2 8 002 004 010 014 022 030 032 051
3.3 5 008 010 024 026 028
3.4 6 006 012 020 024 044 056
3.5 10 006 008 024 034 050 062 064 068 078 112
3.6 6 004 010 016 028 038 058
3.7 6 008 012 030 042 056 068
3.8 4 014 026 032 054
3.9 4 002 008 016 020
3.10 5 020 026 038 048 056
Chapter 4: Applications of Derivatives
4.1 7 002 006 018 026 042 056 066
4.2 5 002 024 028 034 058
4.3 8 002 004 008 014 018 032 034 048
4.4 6 002 004 072 074 076 082
4.5 8 004 008 010 012 018 022 032 044
4.6 6 008 010 014 024 026 058
4.7 4 004 012 016 022
4.8 9 002 004 014 026 030 070 090 118 120
Chapter 5: Integration
5.1 7 002 012 014 015 016 019 020
5.2 8 002 004 008 012 014 018 020 022
5.3 11 002 004 008 012 014 016 018 030 034 052 064
5.4 8 002 006 008 014 020 042 052 070
5.5 9 002 004 005 006 008 020 037 060 064
5.6 10 002 004 006 018 020 022 048 066 086 092
Chapter 6: Applications of Definite Integrals
6.1 5 006 008 013 016 018
6.2 8 008 010 012 016 018 022 028 030
6.3 6 002 004 006 012 028 032
6.4 11 002 004 006 008 010 012 016 020 028 040 042
6.5 11 010 012 014 016 018 022 024 034 036 038 042
6.6 9 002 003 004 005 006 008 010 018 022
6.7 3 010 012 020
Chapter 7: Integrals and Trancendental Functions
7.1 5 002 004 010 012 018
7.2 11 002 004 008 009 010 012 014 018 022 024 026
7.3 3 002 004 006
7.4 7 002 004 014 026 036 043 052
Chapter 8: Techniques of Integration
8.2 7 004 006 010 012 022 030 034
8.3 7 002 008 012 016 024 030 034
8.4 6 006 008 014 018 026 032
8.5 6 004 008 016 034 040 042
8.6 5 040 044 052 054 060
8.7 2 028 030
8.8 7 008 022 024 044 048 054 060
Chapter 9: Further Applications of Integration
9.1 8 012 014 016 018 019 020 021 022
9.2 9 002 006 008 014 016 018 024 028 030
9.3 4 002 004 008 012
9.4 5 002 004 006 010 016
9.5 7 001 002 003 004 005 008 010
Chapter 10: Conic Sections and Polar Coordinates
10.1 15 001 002 003 004 005 006 007 008 040 042 046 052 056 060 078
10.2 12 004 006 008 010 012 024 028 030 032 034 036 038
10.3 8 002 004 008 010 012 014 016 036
10.4 3 014 016 018
10.5 7 024 026 032 044 050 052 060
10.6 3 018 020 032
10.7 6 002 006 010 012 020 022
10.8 4 004 006 010 024
Chapter 11: Infinite Sequences and Series
11.1 10 006 014 018 024 032 042 052 076 098 102
11.2 9 006 008 016 020 030 036 052 056 070
11.3 5 002 008 010 014 024
11.4 4 006 010 020 026
11.5 5 006 010 024 030 042
11.6 5 006 008 018 022 051
11.7 6 006 014 024 034 040 042
11.8 6 002 006 010 020 022 024
11.9 5 004 006 012 020 036
11.10 5 002 008 012 020 032
11.11 2 002 008
Chapter 12: Vectors and the Geometry of Space
12.1 12 008 010 016 020 022 036 038 040 042 044 048 050
12.2 9 004 008 012 018 024 026 036 038 046
12.3 8 002 004 008 010 012 014 018 020
12.4 9 004 008 016 018 024 028 036 038 040
12.5 9 004 006 022 028 034 038 048 056 068
12.6 12 001 002 003 004 005 006 007 008 009 010 011 012
Chapter 13: Vector-Valued Functions and Motion in Space
13.1 8 002 006 012 016 018 022 024 040
13.2 6 002 004 008 012 018 026
13.3 5 006 010 012 014 016
13.4 4 002 010 019 022
13.5 4 004 006 008 012
13.6 5 002 004 006 010 012
Chapter 14: Partial Derivatives
14.1 8 002 004 006 008 010 012 030 046
14.2 10 004 006 008 016 018 022 028 032 044 052
14.10 3 002 004 010
Chapter 15: Multiple Integrals
15.1 8 012 014 016 018 020 042 044 046
15.2 6 016 018 020 028 032 054
15.3 7 002 004 008 018 024 030 034
15.4 7 008 010 016 024 026 038 042
15.5 5 002 008 014 020 022
15.6 11 002 004 006 008 010 022 024 028 050 056 062
15.7 3 002 004 008
Chapter 16: Integration in Vector Fields
16 0  
Total 708  
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