Calculus with Precalculus, SI Units (Global Edition)

Name: Calculus with Precalculus, SI Units (Global Edition)
Price: 4580 ISK
Availability: InStock
Author: William L. Briggs; Eric Schulz
ISBN: 9781292485782

Höfundar: William L. Briggs; Eric Schulz (Útgáfa: 3)

Kaup valmöguleikar

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‚Äôs 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.

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Útgefandi: Pearson International Content

ISBN: 9781292485782

Print ISBN: 9781292485812

Format: ePub

Útgáfa: 3

Höfundar: William L. Briggs; Eric Schulz

Tungumál: English

Útgefið: 2026-01-23

Prent takmörkun á líftíma: 100

Prent takmörkun: 2

Afritunar takmörkun: 2

Kaflar

Cover
Cover
MyLab Math Information
MyLab Math Information
Front Matter: Calculus
Title Page
Copyright
Dedication
Contents
Preface
MyLab Math Online Course for Calculus: Early Transcendentals, 3e
Credits
List of Videos in This eTextbook
Chapter 1: Functions
Introduction
1.1: Review of Functions
Section 1.1: Exercises
1.2: Representing Function
Section 1.2: Exercises
1.3: Inverse, Exponential, and Logarithmic Functions
Section 1.3: Exercises
1.4: Trigonometric Functions and Their Inverses
Section 1.4: Exercises
Chapter 1: Review Exercises
Chapter 1: Guided Projects
Chapter 1: Test Your Understanding
Chapter 2: Limits
Introduction
2.1: The Idea of Limits
Section 2.1: Exercises
2.2: Definitions of Limits
Section 2.2: Exercises
2.3: Techniques for Computing Limits
Section 2.3: Exercises
2.4: Infinite Limits
Section 2.4: Exercises
2.5: Limits at Infinity
Section 2.5: Exercises
2.6: Continuity
Section 2.6: Exercises
2.7: Precise Definitions of Limits
Section 2.7: Exercises
Chapter 2: Review Exercises
Chapter 2: Guided Projects
Chapter 2: Test Your Understanding
Chapter 3: Derivatives
Introduction
3.1: Introducing the Derivative
Section 3.1: Exercises
3.2: The Derivative as a Function
Section 3.2: Exercises
3.3: Rules of Differentiation
Section 3.3: Exercises
3.4: The Product and Quotient Rules
Section 3.4: Exercises
3.5: Derivatives of Trigonometric Functions
Section 3.5: Exercises
3.6: Derivatives as Rates of Change
Section 3.6: Exercises
3.7: The Chain Rule
Section 3.7: Exercises
3.8: Implicit Differentiation
Section 3.8: Exercises
3.9: Derivatives of Logarithmic and Exponential Functions
Section 3.9: Exercises
3.10: Derivatives of Inverse Trigonometric Functions
Section 3.10: Exercises
3.11: Related Rates
Section 3.11: Exercises
Chapter 3: Review Exercises
Chapter 3: Guided Projects
Chapter 3: Test Your Understanding
Chapter 4: Applications of the Derivative
Introduction
4.1: Maxima and Minima
Section 4.1: Exercises
4.2: Mean Value Theorem
Section 4.2: Exercises
4.3: What Derivatives Tell Us
Section 4.3: Exercises
4.4: Graphing Functions
Section 4.4: Exercises
4.5: Optimization Problems
Section 4.5: Exercises
4.6: Linear Approximation and Differentials
Section 4.6: Exercises
4.7: L’Hôpital’s Rule
Section 4.7: Exercises
4.8: Newton’s Method
Section 4.8: Exercises
4.9: Antiderivatives
Section 4.9: Exercises
Chapter 4: Review Exercises
Chapter 4: Guided Projects
Chapter 4: Test Your Understanding
Chapter 5: Integration
Introduction
5.1: Approximating Areas under Curves
Section 5.1: Exercises
5.2: Definite Integrals
Section 5.2: Exercises
5.3: Fundamental Theorem of Calculus
Section 5.3: Exercises
5.4: Working with Integrals
Section 5.4: Exercises
5.5: Substitution Rule
Section 5.5: Exercises
Chapter 5: Review Exercises
Chapter 5: Guided Projects
Chapter 5: Test Your Understanding
Chapter 6: Applications of Integration
Introduction
6.1: Velocity and Net Change
Section 6.1: Exercises
6.2: Regions Between Curves
Section 6.2: Exercises
6.3: Volume by Slicing
Section 6.3: Exercises
6.4: Volume by Shells
Section 6.4: Exercises
6.5: Length of Curves
Section 6.5: Exercises
6.6: Surface Area
Section 6.6: Exercises
6.7: Physical Applications
Section 6.7: Exercises
Chapter 6: Review Exercises
Chapter 6: Guided Projects
Chapter 6: Test Your Understanding
Chapter 7: Logarithmic, Exponential, and Hyperbolic Functions
Introduction
7.1: Logarithmic and Exponential Functions Revisited
Section 7.1: Exercises
7.2: Exponential Models
Section 7.2: Exercises
7.3: Hyperbolic Functions
Section 7.3: Exercises
Chapter 7: Review Exercises
Chapter 7: Guided Projects
Chapter 7: Test Your Understanding
Chapter 8: Integration Techniques
Introduction
8.1: Basic Approaches
Section 8.1: Exercises
8.2: Integration by Parts
Section 8.2: Exercises
8.3: Trigonometric Integrals
Section 8.3: Exercises
8.4: Trigonometric Substitutions
Section 8.4: Exercises
8.5: Partial Fractions
Section 8.5: Exercises
8.6: Integration Strategies
Section 8.6: Exercises
8.7: Other Methods of Integration
Section 8.7: Exercises
8.8: Numerical Integration
Section 8.8: Exercises
8.9: Improper Integrals
Section 8.9: Exercises
Chapter 8: Review Exercises
Chapter 8: Guided Projects
Chapter 8: Test Your Understanding
Chapter 9: Differential Equations
Introduction
9.1: Basic Ideas
Section 9.1: Exercises
9.2: Direction Fields and Euler’s Method
Section 9.2: Exercises
9.3: Separable Differential Equations
Section 9.3: Exercises
9.4: Special First-Order Linear Differential Equations
Section 9.4: Exercises
9.5: Modeling with Differential Equations
Section 9.5: Exercises
Chapter 9: Review Exercises
Chapter 9: Guided Projects
Chapter 9: Test Your Understanding
Chapter 10: Sequences and Infinite Series
Introduction
10.1: An Overview
Section 10.1: Exercises
10.2: Sequences
Section 10.2: Exercises
10.3: Infinite Series
Section 10.3: Exercises
10.4: The Divergence and Integral Tests
Section 10.4: Exercises
10.5: Comparison Tests
Section 10.5: Exercises
10.6: Alternating Series
Section 10.6: Exercises
10.7: The Ratio and Root Tests
Section 10.7: Exercises
10.8: Choosing a Convergence Test
Section 10.8: Exercises
Chapter 10: Review Exercises
Chapter 10: Guided Projects
Chapter 10: Test Your Understanding
Chapter 11: Power Series
Introduction
11.1: Approximating Functions with Polynomials
Section 11.1: Exercises
11.2: Properties of Power Series
Section 11.2: Exercises
11.3: Taylor Series
Section 11.3: Exercises
11.4: Working with Taylor Series
Section 11.4: Exercises
Chapter 11: Review Exercises
Chapter 11: Guided Projects
Chapter 11: Test Your Understanding
Chapter 12: Parametric and Polar Curves
Introduction
12.1: Parametric Equations
Section 12.1: Exercises
12.2: Polar Coordinates
Section 12.2: Exercises
12.3: Calculus in Polar Coordinates
Section 12.3: Exercises
12.4: Conic Sections
Section 12.4: Exercises
Chapter 12: Review Exercises
Chapter 12: Guided Projects
Chapter 12: Test Your Understanding
Chapter 13: Vectors and the Geometry of Space
Introduction
13.1: Vectors in the Plane
Section 13.1: Exercises
13.2: Vectors in Three Dimensions
Section 13.2: Exercises
13.3: Dot Products
Section 13.3: Exercises
13.4: Cross Products
Section 13.4: Exercises
13.5: Lines and Planes in Space
Section 13.5: Exercises
13.6: Cylinders and Quadric Surfaces
Section 13.6: Exercises
Chapter 13: Review Exercises
Chapter 13: Guided Projects
Chapter 13: Test Your Understanding
Chapter 14: Vector-Valued Functions
Introduction
14.1: Vector-Valued Functions
Section 14.1: Exercises
14.2: Calculus of Vector-Valued Functions
Section 14.2: Exercises
14.3: Motion in Space
Section 14.3: Exercises
14.4: Length of Curves
Section 14.4: Exercises
14.5: Curvature and Normal Vectors
Section 14.5: Exercises
Chapter 14: Review Exercises
Chapter 14: Guided Projects
Chapter 14: Test Your Understanding
Chapter 15: Functions of Several Variables
Introduction
15.1: Graphs and Level Curves
Section 15.1: Exercises
15.2: Limits and Continuity
Section 15.2: Exercises
15.3: Partial Derivatives
Section 15.3: Exercises
15.4: The Chain Rule
Section 15.4: Exercises
15.5: Directional Derivatives and the Gradient
Section 15.5: Exercises
15.6: Tangent Planes and Linear Approximation
Section 15.6: Exercises
15.7: Maximum/Minimum Problems
Section 15.7: Exercises
15.8: Lagrange Multipliers
Section 15.8: Exercises
Chapter 15: Review Exercises
Chapter 15: Guided Projects
Chapter 15: Test Your Understanding
Chapter 16: Multiple Integration
Introduction
16.1: Double Integrals over Rectangular Regions
Section 16.1: Exercises
16.2: Double Integrals over General Regions
Section 16.2: Exercises
16.3: Double Integrals in Polar Coordinates
Section 16.3: Exercises
16.4: Triple Integrals
Section 16.4: Exercises
16.5: Triple Integrals in Cylindrical and Spherical Coordinates
Section 16.5: Exercises
16.6: Integrals for Mass Calculations
Section 16.6: Exercises
16.7: Change of Variables in Multiple Integrals
Section 16.7: Exercises
Chapter 16: Review Exercises
Chapter 16: Guided Projects
Chapter 16: Test Your Understanding
Chapter 17: Vector Calculus
Introduction
17.1: Vector Fields
Section 17.1: Exercises
17.2: Line Integrals
Section 17.2: Exercises
17.3: Conservative Vector Fields
Section 17.3: Exercises
17.4: Green’s Theorem
Section 17.4: Exercises
17.5: Divergence and Curl
Section 17.5: Exercises
17.6: Surface Integrals
Section 17.6: Exercises
17.7: Stokes’ Theorem
Section 17.7: Exercises
17.8: Divergence Theorem
Section 17.8: Exercises
Chapter 17: Review Exercises
Chapter 17: Guided Projects
Chapter 17: Test Your Understanding
Chapter D2: Second-Order Differential Equations
Introduction
D2.1: Basic Ideas
Section D2.1: Exercises
D2.2: Linear Homogeneous Equations
Section D2.2: Exercises
D2.3: Linear Nonhomogeneous Equations
Section D2.3: Exercises
D2.4: Applications
Section D2.4: Exercises
D2.5: Complex Forcing Functions
Section D2.5: Exercises
Chapter D2: Review Exercises
Chapter D2: Guided Projects
Appendix A
Proofs of Selected Theorems
Appendix B
Algebra
Sets of Real Numbers
Absolute Value
Cartesian Coordinate System
Equations of Lines
Answers
Appendix C
Complex Numbers
Complex Arithmetic
Answers
Answers
Chapter 1
Chapter 2
Chapter 3
Chapter 4
Chapter 5
Chapter 6
Chapter 7
Chapter 8
Chapter 9
Chapter 10
Chapter 11
Chapter 12
Chapter 13
Chapter 14
Chapter 15
Chapter 16
Chapter 17
Index: Calculus
A
B
C
D
E
F
G
H
I
J
K
L
M
N
O
P
Q
R
S
T
U
V
W
X
Y
Z
Index of Applications: Calculus
Economics and Business
Engineering and Physical Sciences
General
Life Sciences
Social and Behavioral Sciences
Table of Integrals
Table of Integrals
Useful References
Algebra
Graphs
Front Matter: Precalculus
Title Page
Preface
Contents
Resources for Success
Instructor Resources
Student Resources
Acknowledgments
About the Authors
List of Videos in This eTextbook
Chapter 1: Functions
Introduction
1.1: Introduction to Functions
1.1: Quick Quiz
Section 1.1: Exercises
1.2: Graphs
1.2: Quick Quiz
Section 1.2: Exercises
1.3: Linear Functions
1.3: Quick Quiz
Section 1.3: Exercises
1.4: Combinations of Functions
1.4: Quick Quiz
Section 1.4: Exercises
1.5: Transformations of Functions
1.5: Quick Quiz
Section 1.5: Exercises
1.6: Families of Functions
1.6: Quick Quiz
Section 1.6: Exercises
Chapter 1: Summary and Review Exercises
Chapter 1: Test Your Understanding
Chapter 2: Polynomials and Rational Functions
Introduction
2.1: Quadratic Functions
2.1: Quick Quiz
Section 2.1: Exercises
2.2: Polynomial Functions
2.2: Quick Quiz
Section 2.2: Exercises
2.3: Real Roots and Factors of Polynomial Functions
2.3: Quick Quiz
Section 2.3: Exercises
2.4: Complex Numbers
2.4: Quick Quiz
Section 2.4: Exercises
2.5: Complex Roots of Polynomial Functions
2.5: Quick Quiz
Section 2.5: Exercises
2.6: Rational Functions
2.6: Quick Quiz
Section 2.6: Exercises
2.7: Inequalities
2.7: Quick Quiz
Section 2.7: Exercises
Chapter 2: Summary and Review Exercises
Chapter 2: Test Your Understanding
Chapter 3: Exponentials and Logarithms
Introduction
3.1: Exponential Functions
3.1: Quick Quiz
Section 3.1: Exercises
3.2: Inverse Functions
3.2: Quick Quiz
Section 3.2: Exercises
3.3: Logarithmic Functions
3.3: Quick Quiz
Section 3.3: Exercises
3.4: Logarithmic Identities
3.4: Quick Quiz
Section 3.4: Exercises
3.5: Solving Exponential and Logarithmic Equations
3.5: Quick Quiz
Section 3.5: Exercises
Chapter 3: Summary and Review Exercises
Chapter 3: Test Your Understanding
Chapter 4: Unit Circle Trigonometry
Introduction
4.1: Angles and Their Measures
4.1: Quick Quiz
Section 4.1: Exercises
4.2: Unit Circle Definitions of Sine, Cosine, and Tangent
4.2: Quick Quiz
Section 4.2: Exercises
4.3: Sine, Cosine, and Tangent Functions
4.3: Quick Quiz
Section 4.3: Exercises
4.4: Secant, Cosecant, and Cotangent Functions
4.4: Quick Quiz
Section 4.4: Exercises
4.5: Inverse Trigonometric Functions
4.5: Quick Quiz
Section 4.5: Exercises
Chapter 4: Summary and Review Exercises
Chapter 4: Test Your Understanding
Chapter 5: Triangle Trigonometry
Introduction
5.1: Right Triangle Trigonometry
5.1: Quick Quiz
Section 5.1: Exercises
5.2: Right Triangles and the Unit Circle
5.2: Quick Quiz
Section 5.2: Exercises
5.3: Law of Sines
5.3: Quick Quiz
Section 5.3: Exercises
5.4: Law of Cosines
5.4: Quick Quiz
Section 5.4: Exercises
5.5: Applications of Triangles
5.5: Quick Quiz
Section 5.5: Exercises
Chapter 5: Summary and Review Exercises
Chapter 5: Test Your Understanding
Chapter 6: Trigonometric Identities
Introduction
6.1: Fundamental Identities
6.1: Quick Quiz
Section 6.1: Exercises
6.2: Sum, Difference, and Double-Angle Identities
6.2: Quick Quiz
Section 6.2: Exercises
6.3: Power-Reducing, Half-Angle, and Product-Sum Identities
6.3: Quick Quiz
Section 6.3: Exercises
6.4: Solving Trigonometric Equations
6.4: Quick Quiz
Section 6.4: Exercises
Chapter 6: Summary and Review Exercises
Chapter 6: Test Your Understanding
Chapter 7: Parametric and Polar Graphs
Introduction
7.1: Parametric Equations
7.1: Quick Quiz
Section 7.1: Exercises
7.2: Polar Coordinates
7.2: Quick Quiz
Section 7.2: Exercises
7.3: Polar Graphs
7.3: Quick Quiz
Section 7.3: Exercises
7.4: Polar Form of Complex Numbers; DeMoivre's Theorem
7.4: Quick Quiz
Section 7.4: Exercises
Chapter 7: Summary and Review Exercises
Chapter 7: Test Your Understanding
Chapter 8: Conic Sections
Introduction
8.1: Parabolas
8.1: Quick Quiz
Section 8.1: Exercises
8.2: Ellipses and Circles
8.2: Quick Quiz
Section 8.2: Exercises
8.3: Hyperbolas
8.3: Quick Quiz
Section 8.3: Exercises
8.4: Eccentricity and Polar Equations of Conic Sections
8.4: Quick Quiz
Section 8.4: Exercises
Chapter 8: Summary and Review Exercises
Chapter 8: Test Your Understanding
Chapter 9: Vectors
Introduction
9.1: Vectors in Two Dimensions
9.1: Quick Quiz
Section 9.1: Exercises
9.2: Vectors in Three Dimensions
9.2: Quick Quiz
Section 9.2: Exercises
9.3: Dot Product
9.3: Quick Quiz
Section 9.3: Exercises
9.4: Cross Product
9.4: Quick Quiz
Section 9.4: Exercises
Chapter 9: Summary and Review Exercises
Chapter 9: Test Your Understanding
Chapter 10: Systems of Equations and Matrices
Introduction
10.1: Systems of Equations and Inequalities
Section 10.1: Exercises
10.2: Matrices
Section 10.2: Exercises
10.3: Method of Partial Fractions
Section 10.3: Exercises
Chapter 10: Summary and Review Exercises
Chapter 10: Test Your Understanding
Appendix A: Looking Forward to Calculus: Limits
Appendix A: Looking Forward to Calculus: Limits
A.1: The Idea of Limits
A.2: Definitions of Limits
Appendix B: Looking Forward to Calculus: Sequences and Series
Appendix B: Looking Forward to Calculus: Sequences and Series
An overview
Appendix B: Exercises
Answers to Odd Exercises
Answers to Odd Exercises
Index: Precalculus
Index
A
B
C
D
E
F
G
H
I
L
M
N
O
P
Q
R
S
T
U
V
W
Z
Applications Index: Precalculus
Applications Index
Astronomy
Business and Finance
Chemistry
Construction and Design
Earth and Life Sciences
General Interest
Geometry and Numbers
Physical Science
Physics and Engineering
Sports
Statistics and Demographics
Transportation and Navigation