Calculus 1st edition

Textbook Cover

William L. Briggs and Lyle Cochran
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: Review of Functions (26)
    • 1.2: Representations of Functions (18)
    • 1.3: Trigonometric Functions (5)

  • Chapter 2: Limits
    • 2.1: Introduction to Limits (3)
    • 2.2: Definitions of Limits (8)
    • 2.3: Evaluating Limits Using the Limit Laws (15)
    • 2.4: Infinite Limits (13)
    • 2.5: Limits at Infinity (19)
    • 2.6: Continuity (26)
    • 2.7: Precise Definitions of Limits (3)

  • Chapter 3: Derivatives
    • 3.1: Introduction to Derivatives (32)
    • 3.2: Rules of Differentiation (15)
    • 3.3: The Product and Quotient Rules (9)
    • 3.4: Derivatives of Trigonometric Functions (20)
    • 3.5: Derivatives as Rates of Change (12)
    • 3.6: The Chain Rule (12)
    • 3.7: Implicit Differentiation (19)
    • 3.8: Related Rates (22)

  • Chapter 4: Applications of the Derivative
    • 4.1: Maxima and Minima (10)
    • 4.2: The First and Second Derivative Tests (15)
    • 4.3: Graphing Functions (16)
    • 4.4: Optimization Problems (22)
    • 4.5: Linear Approximation and Differentials (16)
    • 4.6: Mean Value Theorem (18)
    • 4.7: L'Hô pital's Rule (25)
    • 4.8: Antiderivatives (23)

  • Chapter 5: Integration
    • 5.1: Approximating Areas under Curves (9)
    • 5.2: Definite Integrals (27)
    • 5.3: Fundamental Theorem of Calculus (29)
    • 5.4: Integrating Even and Odd Functions; Average Value of a Function; Mean Value Theorem for Integrals (4)
    • 5.5: Substitution Rule (17)

  • Chapter 6: Applications of Integration
    • 6.1: Position, Velocity, Displacement, and Distance; Acceleration; Future Position/Value (9)
    • 6.2: Regions Between Curves (4)
    • 6.3: Volume by Slicing (17)
    • 6.4: Volume by Shells (20)
    • 6.5: Arc Length (9)
    • 6.6: Mass; Work; Force and Pressure (33)

  • Chapter 7: Logarithmic and Exponential Functions
    • 7.1: Inverse Functions (10)
    • 7.2: The Natural Logarithmic and Exponential Functions (113)
    • 7.3: Logarithmic and Exponential Functions with Other Bases (2)
    • 7.4: Exponential Models (4)
    • 7.5: Inverse Trigonometric Functions (13)
    • 7.6: Growth Rates of Functions (5)

  • Chapter 8: Integration Techniques
    • 8.1: Integration by Parts (24)
    • 8.2: Trigonometric Integrals (26)
    • 8.3: Trigonometric Substitutions (19)
    • 8.4: Partial Fractions (24)
    • 8.5: Integration by Tables and Computer Systems (16)
    • 8.6: Numerical Integration (17)
    • 8.7: Improper Integrals (16)
    • 8.8: Introduction to Differential Equations (8)

  • Chapter 9: Sequences and Infinite Series
    • 9.1: Introduction to Sequences and Series (5)
    • 9.2: Sequences (22)
    • 9.3: Infinite Series (17)
    • 9.4: The Divergence and Integral Tests (20)
    • 9.5: The Ratio, Root, and Comparison Tests (37)
    • 9.6: Alternating Series (36)

  • Chapter 10: Power Series
    • 10.1: Approximating Functions with Polynomials (8)
    • 10.2: Properties of Power Series (32)
    • 10.3: Taylor Series (29)
    • 10.4: Working with Taylor Series (5)

  • Chapter 11: Parametric and Polar Curves
    • 11.1: Parametric Equations (33)
    • 11.2: Polar Coordinates (23)
    • 11.3: Calculus in Polar Coordinates (15)
    • 11.4: Conic Sections (21)

  • Chapter 12: Vectors and Vector-Valued Functions
    • 12.1: Vectors in the Plane
    • 12.2: Vectors in Three Dimensions
    • 12.3: Dot Products
    • 12.4: Cross Products
    • 12.5: Lines and Curves in Space
    • 12.6: Calculus of Vector-Valued Functions
    • 12.7: Motion in Space
    • 12.8: Length of Curves (12)
    • 12.9: Curvature and Normal Vectors

  • Chapter 13: Functions of Several Variables
    • 13.1: Planes and Surfaces
    • 13.2: Graphs and Level Curves
    • 13.3: Limits and Continuity
    • 13.4: Partial Derivatives
    • 13.5: The Chain Rule
    • 13.6: Directional Derivatives and the Gradient
    • 13.7: Tangent Planes and Linear Approximation
    • 13.8: Maximum/Minimum Problems
    • 13.9: Lagrange Multipliers

  • Chapter 14: Multiple Integration
    • 14.1: Double Integrals over Rectangular Regions
    • 14.2: Double Integrals over General Regions
    • 14.3: Double Integrals in Polar Coordinates
    • 14.4: Triple Integrals
    • 14.5: Triple Integrals in Cylindrical and Spherical Coordinates
    • 14.6: Mass Calculations (17)
    • 14.7: Change of Variables in Multiple Integrals

  • Chapter 15: Vector Calculus
    • 15.1: Vector Fields
    • 15.2: Line Integrals
    • 15.3: Conservative Vector Fields
    • 15.4: Green's Theorem
    • 15.5: Divergence and Curl
    • 15.6: Surface Integrals
    • 15.7: Stokes' Theorem
    • 15.8: Divergence Theorem

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  • Complete question coverage of all calculus concepts
  • Detailed worked-out solutions
  • Interactive Tutorials
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Group Quantity Questions
Chapter A: Algebra Review
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A.2 38 501.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.Tutorial 538.XP.Tutorial
A.3 31 501.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
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A.5 53 501.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 553.XP
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A.7 17 501.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
A.8 24 501.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
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Chapter T: Trigonometry Review
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Chapter 1: Functions
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Chapter 2: Limits
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Chapter 3: Derivatives
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3.8 22 501.XP 502.XP 503.XP 504.XP.Tutorial 505.XP 506.XP.Tutorial 507.XP 508.XP.Tutorial 509.XP 510.XP 511.XP 512.XP.Tutorial 513.XP 514.XP 515.XP 516.XP.Tutorial 517.XP 518.XP 519.XP.Tutorial 520.XP 521.XP 522.XP.Tutorial
Chapter 4: Applications of the Derivative
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4.3 16 501.XP.Tutorial 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
4.4 22 501.XP 502.XP.Tutorial 503.XP 504.XP 505.XP 506.XP 507.XP.Tutorial 508.XP 509.XP 510.XP 511.XP.Tutorial 512.XP 513.XP 514.XP 515.XP 516.XP 517.XP 518.XP.Tutorial 519.XP 520.XP 521.XP.Tutorial 522.XP.Tutorial
4.5 16 501.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 513.XP.Tutorial 514.XP 515.XP 516.XP.Tutorial
4.6 18 501.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
4.7 25 501.XP 502.XP 503.XP 504.XP.Tutorial 505.XP 506.XP 507.XP 508.XP 509.XP 510.XP 511.XP 512.XP.Tutorial 513.XP 514.XP 515.XP 516.XP 517.XP 518.XP.Tutorial 519.XP 520.XP 521.XP 522.XP 523.XP 524.XP 525.XP.Tutorial
4.8 23 501.XP 502.XP 503.XP 504.XP.Tutorial 505.XP 506.XP.Tutorial 507.XP.Tutorial 508.XP.Tutorial 509.XP 510.XP 511.XP.Tutorial 512.XP 513.XP.Tutorial 514.XP 515.XP 516.XP 517.XP 518.XP 519.XP 520.XP 521.XP.Tutorial 522.XP.Tutorial 523.XP.Tutorial
Chapter 5: Integration
5.1 9 501.XP 502.XP 503.XP.Tutorial 504.XP.Tutorial 505.XP.Tutorial 506.XP 507.XP 508.XP 509.XP.Tutorial
5.2 27 501.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.Tutorial 514.XP 515.XP 516.XP 517.XP 518.XP.Tutorial 519.XP 520.XP 521.XP 522.XP 523.XP 524.XP 525.XP.Tutorial 526.XP.Tutorial 527.XP.Tutorial
5.3 29 501.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 525.XP 526.XP 527.XP 528.XP 529.XP.Tutorial
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Chapter 6: Applications of Integration
6.1 9 501.XP.Tutorial 502.XP 503.XP 504.XP 505.XP 506.XP 507.XP 508.XP 509.XP.Tutorial
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6.3 17 501.XP 502.XP 503.XP 504.XP 505.XP 506.XP 507.XP 508.XP 509.XP 510.XP 511.XP.Tutorial 512.XP.Tutorial 513.XP.Tutorial 514.XP 515.XP 516.XP 517.XP.Tutorial
6.4 20 501.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 513.XP 514.XP 515.XP.Tutorial 516.XP.Tutorial 517.XP.Tutorial 518.XP.Tutorial 519.XP.Tutorial 520.XP.Tutorial
6.5 9 501.XP 502.XP.Tutorial 503.XP.Tutorial 504.XP 505.XP 506.XP 507.XP 508.XP 509.XP.Tutorial
6.6 33 501.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 514.XP 515.XP 516.XP 517.XP 518.XP 519.XP 520.XP 521.XP.Tutorial 522.XP 523.XP 524.XP 525.XP.Tutorial 526.XP 527.XP 528.XP.Tutorial 529.XP.Tutorial 530.XP.Tutorial 531.XP.Tutorial 532.XP.Tutorial 533.XP.Tutorial
Chapter 7: Logarithmic and Exponential Functions
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Chapter 8: Integration Techniques
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8.3 19 501.XP 502.XP 503.XP 504.XP.Tutorial 505.XP 506.XP.Tutorial 507.XP 508.XP 509.XP.Tutorial 510.XP 511.XP 512.XP 513.XP 514.XP 515.XP 516.XP 517.XP.Tutorial 518.XP.Tutorial 519.XP.Tutorial
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8.7 16 501.XP.Tutorial 502.XP 503.XP 504.XP 505.XP.Tutorial 506.XP 507.XP.Tutorial 508.XP 509.XP 510.XP 511.XP 512.XP 513.XP 514.XP 515.XP.Tutorial 516.XP.Tutorial
8.8 8 501.XP 502.XP.Tutorial 503.XP.Tutorial 504.XP.Tutorial 505.XP.Tutorial 506.XP.Tutorial 507.XP.Tutorial 508.XP.Tutorial
Chapter 9: Sequences and Infinite Series
9.1 5 502.XP 503.XP.Tutorial 504.XP.Tutorial 505.XP 506.XP
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9.3 17 501.XP.Tutorial 502.XP 503.XP 504.XP.Tutorial 505.XP.Tutorial 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.Tutorial
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Chapter 10: Power Series
10.1 8 501.XP.Tutorial 502.XP.Tutorial 503.XP 504.XP 505.XP 506.XP 507.XP.Tutorial 508.XP.Tutorial
10.2 32 501.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 531.XP.Tutorial 532.XP.Tutorial
10.3 29 501.XP 502.XP 503.XP.Tutorial 504.XP 505.XP 506.XP 507.XP.Tutorial 508.XP 509.XP 510.XP.Tutorial 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.Tutorial 528.XP 529.XP
10.4 5 501.XP 502.XP 503.XP 504.XP.Tutorial 505.XP.Tutorial
Chapter 11: Parametric and Polar Curves
11.1 33 501.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.Tutorial 515.XP 516.XP 517.XP 518.XP.Tutorial 519.XP 520.XP 521.XP 522.XP 523.XP 524.XP 525.XP 526.XP.Tutorial 527.XP.Tutorial 528.XP 529.XP 530.XP 531.XP 532.XP.Tutorial 533.XP.Tutorial
11.2 23 501.XP 502.XP 503.XP 504.XP 505.XP.Tutorial 506.XP 507.XP 508.XP 509.XP.Tutorial 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.Tutorial 523.XP.Tutorial
11.3 15 501.XP 502.XP 503.XP 504.XP 505.XP 506.XP 507.XP 508.XP.Tutorial 509.XP 510.XP 511.XP.Tutorial 512.XP 513.XP 514.XP.Tutorial 515.XP.Tutorial
11.4 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 512.XP 513.XP 514.XP 515.XP 516.XP 517.XP 518.XP.Tutorial 519.XP 520.XP.Tutorial 521.XP.Tutorial
Chapter 12: Vectors and Vector-Valued Functions
12.8 12 501.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
Chapter 14: Multiple Integration
14.6 17 501.XP.Tutorial 502.XP 503.XP.Tutorial 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.Tutorial
Total 1660