# Calculus: Early Transcendentals 12th edition

George B. Thomas, Jr., Maurice D. Weir and Joel Hass
Publisher: Pearson Education

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• Chapter A: Algebra Review
• A.1: The Cartesian Coordinate Plane (52)
• A.2: Linear and Quadratic Functions (38)
• A.3: Polynomial Functions (31)
• A.4: Rational Functions (46)
• A.5: Further Topics in Functions (53)
• A.6: Exponential and Logarithmic Functions (46)
• A.7: Introduction to Conics (17)
• A.8: Systems of Equations and Matrices (24)
• A.9: Sequences and the Binomial Theorem (24)

• Chapter T: Trigonometry Review
• T.1: Foundations of Trigonometry (95)
• T.2: Applications of Trigonometry (5)

• Chapter 1: Functions
• 1.1: Functions and Their Graphs (18)
• 1.2: Combining Functions; Shifting and Scaling Graphs (25)
• 1.3: Trigonometric Functions (3)
• 1.4: Graphing with Calculators and Computers
• 1.5: Exponential Functions (8)
• 1.6: Inverse Functions and Logarithms (33)

• Chapter 2: Limits and Continuity
• 2.1: Introduction to Rates of Change and Tangents (7)
• 2.2: Limit of a Function and Limit Laws (15)
• 2.3: The Precise Definition of a Limit (2)
• 2.4: One-Sided Limits (6)
• 2.5: Continuity (25)
• 2.6: Limits Involving Infinity; Asymptotes of Graphs (34)

• Chapter 3: Differentiation
• 3.1: Tangents and the Derivative at a Point (8)
• 3.2: The Derivative as a Function (27)
• 3.3: Differentiation Rules (34)
• 3.4: The Derivative as a Rate of Change (10)
• 3.5: Derivatives of Trigonometric Functions (20)
• 3.6: The Chain Rule (21)
• 3.7: Implicit Differentiation (11)
• 3.8: Derivatives of Inverse Functions and Logarithms (27)
• 3.9: Inverse Trigonometric Functions (5)
• 3.10: Related Rates (20)
• 3.11: Linearization and Differentials (12)

• Chapter 4: Applications of Derivatives
• 4.1: Extreme Values of Functions (12)
• 4.2: The Mean Value Theorem (20)
• 4.3: The First Derivative Test
• 4.4: Concavity and Curve Sketching (31)
• 4.5: Indeterminate Forms and L'Hopital's Rule (30)
• 4.6: Optimization (24)
• 4.7: Newton's Method (14)
• 4.8: Antiderivatives (26)

• Chapter 5: Integration
• 5.1: Introduction to Areas (4)
• 5.2: Sigma Notation and Limits of Finite Sums (14)
• 5.3: The Definite Integral (27)
• 5.4: The Fundamental Theorem of Calculus (51)
• 5.5: Indefinite Integrals and the Substitution Method (21)
• 5.6: The Substitution Rule and the Area Between Curves (43)

• Chapter 6: Applications of Definite Integrals
• 6.1: Volumes Using Cross-Sections (18)
• 6.2: Volumes Using Cylindrical Shells (20)
• 6.3: Arc Length (11)
• 6.4: Areas of Surfaces of Revolution (16)
• 6.5: Work and Fluid Forces (17)
• 6.6: Moments and Centers of Mass (18)

• Chapter 7: Integrals and Transcendental Functions
• 7.1: The Logarithm Defined as an Integral
• 7.2: The Exponential Growth Rate and Separable Differential Equations (6)
• 7.3: Hyperbolic Functions
• 7.4: Relative Rates of Growth

• Chapter 8: Techniques of Integration
• 8.1: Integration by Parts (24)
• 8.2: Trigonometric Integrals (26)
• 8.3: Trigonometric Substitutions (11)
• 8.4: Integration of Rational Functions by Partial Fractions (26)
• 8.5: Integral Tables and Computer Algebra Systems (16)
• 8.6: Numerical Integration (10)
• 8.7: Improper Integrals (16)

• Chapter 9: First-Order Differential Equations
• 9.1: Introduction to Differential Equations: Solutions, Direction Fields, and Euler's Method (3)
• 9.2: First-Order Linear Equations (1)
• 9.3: Applications of Differential Equations
• 9.4: Autonomous Differential Equations (3)
• 9.5: Systems of Equations and Phase Planes

• Chapter 10: Infinite Sequences and Series
• 10.1: Sequences (30)
• 10.2: Infinite Series (15)
• 10.3: The Integral Test (16)
• 10.4: Comparison Tests (25)
• 10.5: The Ratio and Root Tests (16)
• 10.6: Alternating Series, Absolute and Conditional Convergence (28)
• 10.7: Power Series (36)
• 10.8: Taylor and Maclaurin Series (19)
• 10.9: Convergence of Taylor Series (3)
• 10.10: The Binomial Series and Applications of Taylor Series (10)

• Chapter 11: Parametric Equations and Polar Coordinates
• 11.1: Parametrizations of Plane Curves (14)
• 11.2: Calculus with Parametric Curves (34)
• 11.3: Polar Coordinates (16)
• 11.4: Graphing in Polar Coordinates (10)
• 11.5: Areas and Lengths in Polar Coordinates (18)
• 11.6: Conic Sections (12)
• 11.7: Conics in Polar Coordinates (11)

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

• Chapter 13: Vector-Valued Functions and Motion in Space
• 13.1: Curves in Space and Their Tangents
• 13.2: Integrals of Vector Functions; Projectile Motion
• 13.3: Arc Length in Space
• 13.4: Curvature and Normal Vectors of a Curve
• 13.5: Tangential and Normal Components of Acceleration
• 13.6: Velocity and Acceleration in Polar Coordinates

• Chapter 14: Partial Derivatives
• 14.1: Functions of Several Variables
• 14.2: Limits and Continuity in Higher Dimensions
• 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: Taylor's Formula for Two Variables
• 14.10: Partial Derivatives with Constrained Variables

• Chapter 15: Multiple Integrals
• 15.1: Double and Iterated Integrals over Rectangles
• 15.2: Double Integrals over General Regions
• 15.3: Area by Double Integration
• 15.4: Double Integrals in Polar Form
• 15.5: Triple Integrals in Rectangular Coordinates
• 15.6: Moments and Centers of Mass
• 15.7: Triple Integrals in Cylindrical and Spherical Coordinates
• 15.8: Substitutions in Multiple Integrals

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

• Chapter 17: Second-Order Differential Equations
• 17.1: Second-Order Linear Equations
• 17.2: Nonhomogeneous Linear Equations
• 17.3: Applications
• 17.4: Euler Equations
• 17.5: Power Series Solutions

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Group Quantity Questions
Chapter A: Algebra Review
A.1 52 501.XP 502.XP 503.XP 504.XP 505.XP 506.XP 507.XP 508.XP 509.XP 510.XP 511.XP 512.XP 513.XP 514.XP 515.XP 516.XP 517.XP 518.XP 519.XP 520.XP 521.XP 522.XP 523.XP 524.XP 525.XP 526.XP 527.XP 528.XP 529.XP 530.XP 531.XP 532.XP 533.XP 534.XP 535.XP 536.XP 537.XP 538.XP 539.XP 540.XP 541.XP 542.XP 543.XP 544.XP 545.XP 546.XP 547.XP 548.XP 549.XP 550.XP 551.XP 552.XP
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Chapter T: Trigonometry Review
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Chapter 1: Functions
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Chapter 2: Limits and Continuity
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Chapter 3: Differentiation
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3.5 20 501.XP.Tutorial 502.XP 503.XP 504.XP.Tutorial 505.XP 506.XP 507.XP 508.XP.Tutorial 509.XP.Tutorial 510.XP 511.XP 512.XP.Tutorial 513.XP 514.XP 515.XP 516.XP 517.XP 518.XP 519.XP 520.XP.Tutorial
3.6 21 501.XP 502.XP 503.XP.Tutorial 504.XP 505.XP 506.XP.Tutorial 507.XP 508.XP 509.XP 510.XP 511.XP.Tutorial 512.XP.Tutorial 513.XP.Tutorial 514.XP 515.XP 516.XP 517.XP 518.XP 519.XP 520.XP.Tutorial 521.XP.Tutorial
3.7 11 501.XP 502.XP 503.XP.Tutorial 504.XP 505.XP.Tutorial 506.XP 507.XP 508.XP.Tutorial 509.XP 510.XP 511.XP.Tutorial
3.8 27 501.XP 502.XP 503.XP 504.XP 505.XP 506.XP 507.XP.Tutorial 508.XP 509.XP.Tutorial 510.XP.Tutorial 511.XP 512.XP 513.XP 514.XP.Tutorial 515.XP 516.XP 517.XP 518.XP 519.XP 520.XP.Tutorial 521.XP 522.XP 523.XP 524.XP.Tutorial 525.XP 526.XP 527.XP.Tutorial
3.9 5 501.XP.Tutorial 502.XP.Tutorial 503.XP 504.XP 505.XP.Tutorial
3.10 20 501.XP 502.XP 503.XP.Tutorial 504.XP 505.XP.Tutorial 506.XP 507.XP.Tutorial 508.XP 509.XP 510.XP 511.XP.Tutorial 512.XP 513.XP 514.XP 515.XP.Tutorial 516.XP 517.XP 518.XP.Tutorial 519.XP 520.XP
3.11 12 501.XP 502.XP 503.XP 504.XP 505.XP 506.XP 507.XP.Tutorial 508.XP.Tutorial 509.XP 510.XP 511.XP.Tutorial 512.XP.Tutorial
Chapter 4: Applications of Derivatives
4.1 12 501.XP.Tutorial 502.XP.Tutorial 503.XP 504.XP 505.XP 506.XP 507.XP 508.XP.Tutorial 509.XP.Tutorial 510.XP.Tutorial 511.XP.Tutorial 512.XP.Tutorial
4.2 20 501.XP.Tutorial 502.XP 503.XP.Tutorial 504.XP 505.XP 506.XP 507.XP 508.XP 509.XP 510.XP 511.XP 512.XP 513.XP 514.XP.Tutorial 515.XP 516.XP 517.XP 518.XP 519.XP 520.XP
4.4 31 501.XP.Tutorial 502.XP 503.XP.Tutorial 504.XP 505.XP 506.XP.Tutorial 507.XP 508.XP 509.XP 510.XP 511.XP 512.XP 513.XP.Tutorial 514.XP 515.XP 516.XP.Tutorial 517.XP 518.XP 519.XP 520.XP 521.XP 522.XP.Tutorial 523.XP 524.XP 525.XP 526.XP 527.XP 528.XP 529.XP 530.XP 531.XP.Tutorial
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4.6 24 501.XP.Tutorial 502.XP 503.XP.Tutorial 504.XP 505.XP 506.XP 507.XP 508.XP 509.XP.Tutorial 510.XP 511.XP 512.XP 513.XP.Tutorial 514.XP 515.XP 516.XP 517.XP 518.XP 519.XP 520.XP.Tutorial 521.XP 522.XP 523.XP.Tutorial 524.XP.Tutorial
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4.8 26 501.XP 502.XP 503.XP.Tutorial 504.XP 505.XP.Tutorial 506.XP.Tutorial 507.XP 508.XP.Tutorial 509.XP 510.XP 511.XP.Tutorial 512.XP 513.XP 514.XP.Tutorial 515.XP 516.XP 517.XP 518.XP 519.XP 520.XP 521.XP 522.XP 523.XP 524.XP 525.XP.Tutorial 526.XP.Tutorial
Chapter 5: Integration
5.1 4 501.XP 502.XP 503.XP.Tutorial 504.XP.Tutorial
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5.3 27 501.XP 502.XP 503.XP 504.XP 505.XP 506.XP.Tutorial 507.XP 508.XP.Tutorial 509.XP 510.XP 511.XP 512.XP 513.XP 514.XP.Tutorial 515.XP 516.XP 517.XP 518.XP 519.XP 520.XP 521.XP 522.XP 523.XP.Tutorial 524.XP.Tutorial 525.XP.Tutorial 526.XP.Tutorial 527.XP.Tutorial
5.4 51 501.XP 502.XP.Tutorial 503.XP 504.XP 505.XP 506.XP.Tutorial 507.XP 508.XP 509.XP 510.XP.Tutorial 511.XP 512.XP 513.XP.Tutorial 514.XP 515.XP 516.XP 517.XP.Tutorial 518.XP 519.XP 520.XP.Tutorial 521.XP 522.XP 523.XP 524.XP.Tutorial 525.XP 526.XP 527.XP 528.XP 529.XP 530.XP 531.XP 532.XP 533.XP 534.XP 535.XP 536.XP 537.XP 538.XP 539.XP 540.XP 541.XP 542.XP 543.XP 544.XP.Tutorial 545.XP 546.XP 547.XP 548.XP 549.XP 550.XP.Tutorial 551.XP.Tutorial
5.5 21 501.XP 502.XP.Tutorial 503.XP.Tutorial 504.XP 505.XP 506.XP.Tutorial 507.XP 508.XP 509.XP.Tutorial 510.XP.Tutorial 511.XP 512.XP 513.XP 514.XP 515.XP.Tutorial 516.XP 517.XP.Tutorial 518.XP.Tutorial 519.XP.Tutorial 520.XP.Tutorial 521.XP.Tutorial
5.6 43 501.XP 502.XP 503.XP 504.XP.Tutorial 505.XP 506.XP 507.XP 508.XP 509.XP 510.XP 511.XP 512.XP 513.XP 514.XP 515.XP 516.XP 517.XP 518.XP 519.XP 520.XP 521.XP 522.XP 523.XP 524.XP.Tutorial 525.XP 526.XP 527.XP 528.XP 529.XP 530.XP.Tutorial 531.XP.Tutorial 532.XP 533.XP 534.XP 535.XP 536.XP 537.XP 538.XP 539.XP 540.XP 541.XP.Tutorial 542.XP.Tutorial 543.XP.Tutorial
Chapter 6: Applications of Definite Integrals
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6.3 11 501.XP 502.XP 503.XP.Tutorial 504.XP.Tutorial 505.XP 506.XP 507.XP 508.XP 509.XP.Tutorial 510.XP 511.XP.Tutorial
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6.5 17 501.XP.Tutorial 502.XP 503.XP 504.XP 505.XP 506.XP.Tutorial 507.XP 508.XP 509.XP.Tutorial 510.XP 511.XP 512.XP 513.XP.Tutorial 514.XP.Tutorial 515.XP.Tutorial 516.XP.Tutorial 517.XP.Tutorial
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Chapter 7: Integrals and Transcendental Functions
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Chapter 8: Techniques of Integration
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8.3 11 501.XP 502.XP 503.XP 504.XP.Tutorial 505.XP 506.XP.Tutorial 507.XP 508.XP 509.XP.Tutorial 510.XP 511.XP.Tutorial
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8.5 16 501.XP 502.XP 503.XP.Tutorial 504.XP 505.XP.Tutorial 506.XP 507.XP 508.XP 509.XP 510.XP.Tutorial 511.XP 512.XP 513.XP 514.XP 515.XP 516.XP
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Chapter 9: First-Order Differential Equations
9.1 3 501.XP.Tutorial 502.XP.Tutorial 503.XP.Tutorial
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Chapter 10: Infinite Sequences and Series
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10.3 16 501.XP 502.XP 503.XP.Tutorial 504.XP 505.XP 506.XP 507.XP 508.XP 509.XP 510.XP 511.XP 512.XP.Tutorial 513.XP 514.XP 515.XP 516.XP.Tutorial
10.4 25 501.XP 502.XP 503.XP 504.XP 505.XP 506.XP 507.XP 508.XP 509.XP 510.XP 511.XP.Tutorial 512.XP 513.XP 514.XP 515.XP 516.XP.Tutorial 517.XP 518.XP 519.XP.Tutorial 520.XP 521.XP 522.XP 523.XP 524.XP.Tutorial 525.XP.Tutorial
10.5 16 501.XP 502.XP 503.XP 504.XP 505.XP 506.XP 507.XP 508.XP 509.XP.Tutorial 510.XP.Tutorial 511.XP 512.XP 513.XP.Tutorial 514.XP 515.XP.Tutorial 516.XP.Tutorial
10.6 28 501.XP 502.XP 503.XP 504.XP.Tutorial 505.XP 506.XP 507.XP 508.XP 509.XP 510.XP 511.XP 512.XP 513.XP 514.XP 515.XP 516.XP.Tutorial 517.XP 518.XP 519.XP 520.XP.Tutorial 521.XP 522.XP 523.XP 524.XP 525.XP.Tutorial 526.XP.Tutorial 527.XP.Tutorial 528.XP.Tutorial
10.7 36 501.XP 502.XP.Tutorial 503.XP.Tutorial 504.XP 505.XP 506.XP 507.XP.Tutorial 508.XP 509.XP 510.XP 511.XP 512.XP 513.XP 514.XP 515.XP 516.XP 517.XP 518.XP 519.XP 520.XP.Tutorial 521.XP 522.XP 523.XP 524.XP 525.XP 526.XP 527.XP.Tutorial 528.XP 529.XP 530.XP.Tutorial 531.XP 532.XP 533.XP 534.XP 535.XP 536.XP.Tutorial
10.8 19 501.XP 502.XP 503.XP 504.XP 505.XP.Tutorial 506.XP 507.XP 508.XP 509.XP 510.XP 511.XP 512.XP 513.XP.Tutorial 514.XP 515.XP 516.XP.Tutorial 517.XP.Tutorial 518.XP.Tutorial 519.XP.Tutorial
10.9 3 501.XP.Tutorial 502.XP.Tutorial 503.XP
10.10 10 501.XP 502.XP 503.XP.Tutorial 504.XP 505.XP 506.XP 507.XP 508.XP 509.XP 510.XP
Chapter 11: Parametric Equations and Polar Coordinates
11.1 14 501.XP 502.XP 503.XP.Tutorial 504.XP 505.XP 506.XP 507.XP 508.XP 509.XP.Tutorial 510.XP 511.XP.Tutorial 512.XP 513.XP.Tutorial 514.XP.Tutorial
11.2 34 501.XP 502.XP 503.XP 504.XP 505.XP.Tutorial 506.XP 507.XP 508.XP 509.XP 510.XP 511.XP 512.XP 513.XP.Tutorial 514.XP.Tutorial 515.XP 516.XP 517.XP 518.XP 519.XP 520.XP.Tutorial 521.XP 522.XP 523.XP 524.XP 525.XP 526.XP 527.XP.Tutorial 528.XP 529.XP 530.XP.Tutorial 531.XP 532.XP 533.XP.Tutorial 534.XP.Tutorial
11.3 16 501.XP 502.XP 503.XP 504.XP 505.XP 506.XP 507.XP.Tutorial 508.XP 509.XP 510.XP 511.XP 512.XP 513.XP 514.XP.Tutorial 515.XP.Tutorial 516.XP.Tutorial
11.4 10 501.XP.Tutorial 502.XP 503.XP 504.XP 505.XP 506.XP 507.XP 508.XP 509.XP 510.XP
11.5 18 501.XP 502.XP.Tutorial 503.XP 504.XP 505.XP 506.XP.Tutorial 507.XP 508.XP 509.XP 510.XP 511.XP 512.XP.Tutorial 513.XP 514.XP 515.XP 516.XP 517.XP.Tutorial 518.XP.Tutorial
11.6 12 501.XP 502.XP 503.XP 504.XP 505.XP 506.XP.Tutorial 507.XP 508.XP 509.XP 510.XP 511.XP 512.XP
11.7 11 501.XP.Tutorial 502.XP 503.XP 504.XP 505.XP 506.XP 507.XP 508.XP.Tutorial 509.XP 510.XP.Tutorial 511.XP.Tutorial
Chapter 12: Vectors and the Geometry of Space
12 0
Chapter 13: Vector-Valued Functions and Motion in Space
13 0
Total 1674