Calculus with Precalculus, Third Edition in SI Units, Global Edition, 3rd edition

Published by Pearson (December 18, 2025) © 2026

  • William L. Briggs University of Colorado Denver
  • Eric Schulz Walla Walla Community College
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Title overview

For courses in Calculus.

Strengthen foundational calculus skills

The popular Calculus, 3rd Edition by Briggs, Schulz, Gillett and Cochran is now reinforced with complete precalculus support to help students bridge potential skill gaps. Calculus with Precalculus retains the proven features of Calculus (the acclaimed calculus text designed for today’s instructors and students), while introducing expanded support content for courses where students may need a more in-depth refresh of prerequisite skills and features SI units throughout.

New features, additional content, and support resources have been added to the available MyLab® Math course and eTextbook to create an invaluable resource in supporting corequisite, drop down and slow calculus use cases; a new optional package is also available that is ideal for boot camp use cases.

Table of contents

Original Calculus Content

  • 1: Functions
    • Introduction
    • 1.1 Review of Functions
    • 1.2 Representing Functions
    • 1.3 Inverse, Exponential, and Logarithmic Functions
    • 1.4 Trigonometric Functions and Their Inverses
    • Review Exercises
    • Guided Projects
  • 2: Limits
    • Introduction
    • 2.1 The Idea of Limits
    • 2.2 Definitions of Limits
    • 2.3 Techniques for Computing Limits
    • 2.4 Infinite Limits
    • 2.5 Limits at Infinity
    • 2.6 Continuity
    • 2.7 Precise Definitions of Limits
    • Review Exercises
    • Guided Projects
  • 3: Exponentials and Logarithms
    • Introduction
    • 3.1 Introducing the Derivative
    • 3.2 The Derivative as a Function
    • 3.3 Rules of Differentiation
    • 3.4 The Product and Quotient Rules
    • 3.5 Derivatives of Trigonometric Functions
    • 3.6 Derivatives as Rates of Change
    • 3.7 The Chain Rule
    • 3.8 Implicit Differentiation
    • 3.9 Derivatives of Logarithmic and Exponential Functions
    • 3.10 Derivatives of Inverse Trigonometric Functions
    • 3.11 Related Rates
    • Review Exercises
    • Guided Projects
  • 4: Applications of the Derivative
    • Introduction
    • 4.1 Maxima and Minima
    • 4.2 Mean Value Theorem
    • 4.3 What Derivatives Tell Us
    • 4.4 Graphing Functions
    • 4.5 Optimization Problems
    • 4.6 Linear Approximation and Differentials
    • 4.7 L’Hôpital’s Rule
    • 4.8 Newton’s Method
    • 4.9 Antiderivatives
    • Review Exercises
    • Guided Projects
  • 5: Integration
    • Introduction
    • 5.1 Approximating Areas under Curves
    • 5.2 Definite Integrals
    • 5.3 Fundamental Theorem of Calculus
    • 5.4 Working with Integrals
    • 5.5 Substitution Rule
    • Review Exercises
    • Guided Projects
  • 6: Applications of Integration
    • Introduction
    • 6.1 Velocity and Net Change
    • 6.2 Regions Between Curves
    • 6.3 Volume by Slicing
    • 6.4 Volume by Shells
    • 6.5 Length of Curves
    • 6.6 Surface Area
    • 6.7 Physical Applications
    • Review Exercises
    • Guided Projects
  • 7: Logarithmic, Exponential, and Hyperbolic Functions
    • Introduction
    • 7.1 Logarithmic and Exponential Functions Revisited
    • 7.2 Exponential Models
    • 7.3 Hyperbolic Functions
    • Review Exercises
    • Guided Projects
  • 8: Integration Techniques
    • Introduction
    • 8.1 Basic Approaches
    • 8.2 Integration by Parts
    • 8.3 Trigonometric Integrals
    • 8.4 Trigonometric Substitutions
    • 8.5 Partial Fractions
    • 8.6 Integration Strategies
    • 8.7 Other Methods of Integration
    • 8.8 Numerical Integration
    • 8.9 Improper Integrals
    • Review Exercises
    • Guided Projects
  • 9: Vectors
    • Introduction
    • 9.1 Basic Ideas
    • 9.2 Direction Fields and Euler’s Method
    • 9.3 Separable Differential Equations
    • 9.4 Special First-Order Linear Differential Equations
    • 9.5 Modeling with Differential Equations
    • Review Exercises
    • Guided Projects
  • 10: Sequences and Infinite Series
    • Introduction
    • 10.1 An Overview
    • 10.2 Sequences
    • 10.3 Infinite Series
    • 10.4 The Divergence and Integral Tests
    • 10.5 Comparison Tests
    • 10.6 Alternating Series
    • 10.7 The Ratio and Root Tests
    • 10.8 Choosing a Convergence Test
    • Review Exercises
    • Guided Projects
  • 11: Power Series
    • Introduction
    • 11.1 Approximating Functions with Polynomials
    • 11.2 Properties of Power Series
    • 11.3 Taylor Series
    • 11.4 Working with Taylor Series
    • Review Exercises
    • Guided Projects
  • 12: Parametric and Polar Curves
    • Introduction
    • 12.1 Parametric Equations
    • 12.2 Polar Coordinates
    • 12.3 Calculus in Polar Coordinates
    • 12.4 Conic Sections
    • Review Exercises
    • Guided Projects
  • 13: Vectors and the Geometry of Space
    • Introduction
    • 13.1 Vectors in the Plane
    • 13.2 Vectors in Three Dimensions
    • 13.3 Dot Products
    • 13.4 Cross Products
    • 13.5 Lines and Planes in Space
    • 13.6 Cylinders and Quadric Surfaces
    • Review Exercises
    • Guided Projects
  • 14: Vector-Valued Functions
    • Introduction
    • 14.1 Vector-Valued Functions
    • 14.2 Calculus of Vector-Valued Functions
    • 14.3 Motion in Space
    • 14.4 Length of Curves
    • 14.5 Curvature and Normal Vectors
    • Review Exercises
    • Guided Projects
  • 15: Functions of Several Variables
    • Introduction
    • 15.1 Graphs and Level Curves
    • 15.2 Limits and Continuity
    • 15.3 Partial Derivatives
    • 15.4 The Chain Rule
    • 15.5 Directional Derivatives and the Gradient
    • 15.6 Tangent Planes and Linear Approximation
    • 15.7 Maximum/Minimum Problems
    • 15.8 Lagrange Multipliers
    • Review Exercises
    • Guided Projects
  • 16: Multiple Integration
    • Introduction
    • 16.1 Double Integrals over Rectangular Regions
    • 16.2 Double Integrals over General Regions
    • 16.3 Double Integrals in Polar Coordinates
    • 16.4 Triple Integrals
    • 16.5 Triple Integrals in Cylindrical and Spherical Coordinates
    • 16.6 Integrals for Mass Calculations
    • 16.7 Change of Variables in Multiple Integrals
    • Review Exercises
    • Guided Projects
  • 17: Vector Calculus
    • Introduction
    • 17.1 Vector Fields
    • 17.2 Line Integrals
    • 17.3 Conservative Vector Fields
    • 17.4 Green’s Theorem
    • 17.5 Divergence and Curl
    • 17.6 Surface Integrals
    • 17.7 Stokes’ Theorem
    • 17.8 Divergence Theorem
    • Review Exercises
    • Guided Projects
  • Chapter D2: Second-order Differential Equations
    • D2 Introduction
    • D2.1 Basic Ideas
    • D2.2 Linear Homogenous Equations
    • D2.3 Linear Nonhomogenous Equations
    • D2.4 Applications
    • D2.5 Complex Forcing Functions
  • Appendices
    • A: Proof of Selected Theorems
    • B: Algebra; Set of Real Numbers; Absolute Value; Cartesian Coordinate System; Equation of Lines; Answers
    • C: Complex Numbers; Complex Arithmetic; Answers

Answers

Index

Index of Applications

Table of Integrals

Useful References

Precalculus Content

  • 1: Functions
    • 1.1 Introduction to Functions
    • 1.2 Graphs
    • 1.3 Linear Functions
    • 1.4 Combination of Functions
    • 1.5 Families of Functions
    • Summary and Review Exercises
  • 2: Polynomial and Rational Functions
    • 2.1 Quadratic Functions
    • 2.2 Polynomial Functions
    • 2.3 Real Roots and Factors of Polynomial Functions
    • 2.4 Complex Numbers
    • 2.5 Complex Roots of Polynomial Functions
    • 2.6 Rational Functions
    • 2.7 Inequalities
    • Summary and Review Exercises
  • 3: Exponentials and Logarithms
    • 3.1 Exponential Functions
    • 3.2 Inverse Functions
    • 3.3 Logarithmic Functions
    • 3.4 Logarithmic Identities
    • 3.5 Solving Exponential and Logarithmic Equations
    • Summary and Review Exercises
  • 4: Unit Circle Trigonometry
    • 4.1 Angles and their measures
    • 4.2 Unit Circle Definitions of Sine, Cosine, and Tangent
    • 4.3 Sine, Cosine, and Tangent Functions
    • 4.4 Secant, Cosecant, and Cotangent Functions
    • 4.5 Inverse Trigonometric Functions
    • Summary and Review Exercises
  • 5: Triangle Trigonometry
    • 5.1 Right Triangle Trigonometry
    • 5.2 Right Triangles and the Unit Circle
    • 5.3 Law of Sines
    • 5.4 Law of Cosines
    • 5.5 Application of Triangles
    • Summary and Review Exercises
  • 6: Trigonometric Identities
    • 6.1 Fundamental Identities
    • 6.2 Sum, Difference, and Double-Angle Identities
    • 6.3 Power-Reducing, Half-Angle, and Product-Sum Identities
    • 6.4 Solving Trigonometric Equations
    • Summary and Review Exercises
  • 7: Parametric and Polar Graphs
    • 7.1 Parametric Equations
    • 7.2 Polar Coordinates
    • 7.3 Polar Graphs
    • 7.4 Polar Form of Complex Numbers; DeMoivre's Theorem
    • Summary and Review Exercises
  • 8: Conic Sections
    • 8.1 Parabolas
    • 8.2 Ellipses and Circles
    • 8.3 Hyperbolas
    • 8.4 Eccentricity and Polar Equations of Conic Sections
    • Summary and Review Exercises
  • 9: Vectors
    • 9.1 Vectors in Two Dimensions
    • 9.2 Vectors in Three Dimensions
    • 9.3 Dot Product
    • 9.4 Cross Product
    • Summary and Review Exercises
  • 10: Systems of Equations and Matrices
    • 10.1 Systems of Equations and Inequalities
    • 10.2 Matrices
    • 10.3 Method of Partial Fractions
    • Summary and Review Exercises<
  • Appendices
    • A: Looking Forward to Calculus: Limits
    • B: Looking Forward to Calculus: Sequence and Series

Answers to Odd Exercises

Index

Application Index

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