MyLab Math with Pearson eText Instant Access for Interactive Calculus: Early Transcendentals, Multivariable, Global Edition
Pearson Education Limited (Hersteller)
978-1-292-48387-0 (ISBN)
Material is based on the content structure of the acclaimed Thomas' Calculus text from Pearson. Videos cover everything in Thomas' Calculus and beyond.
About our authors Jason Gregersen received a bachelor's degree in Mathematics Education from Northern Michigan University in 2009, and a master's degree in Applied Mathematics from Michigan Technological University in 2011. Since 2011 he has been teaching at Michigan Technological University, where he is currently an Associate Teaching Professor primarily teaching calculus, linear algebra, and differential equations. His primary area of interest is in finding new ways to integrate technology into education, to increase student engagement and add authentic applications into the curriculum. Marc Renault attended Wake Forest University where he received his bachelor's and master's degrees (1994, 1996) in Mathematics. In 2002 he received his Ph.D. in mathematics at Temple University. Since 2002 he has been at Shippensburg University in Pennsylvania, where he teaches a wide variety of courses. His research interests lie in combinatorics and number theory, but he also enjoys creating interactive figures with GeoGebra, always trying to construct the next great demonstration that will spark student curiosity in calculus. Rachel Vincent-Finley earned a bachelor's degree in Mathematics from Bryn Mawr College and master's and doctoral degrees in Computational and Applied Mathematics from Rice University. She joined the faculty at Southern University and A&M College in 2009 and now serves as the Associate Dean for Academic Affairs in the College of Sciences and Engineering. Her service to the state of Louisiana includes appointments on the Louisiana Optical Network Infrastructure (LONI) Management Council and the LaSTEM Advisory Council. Her general research interests include numerical analysis with applications to molecular biophysics and materials science. Dr. Vincent-Finley's education and outreach efforts include broadening participation in STEM and enhancing the connections between higher education and industry through workforce development partnerships.
1. Functions
1.1 Functions and Their Graphs
1.2 Combining Functions; Shifting and Scaling Graphs
1.3 Trigonometric Functions
1.4 Graphing with Software
1.5 Exponential Functions
1.6 Inverse Functions and Logarithms
Questions to Guide Your Review
Practice Exercises
Additional and Advanced Exercises
Technology Application Projects
2. Limits and Continuity
2.1 Rates of Change and Tangent Lines to Curves
2.2 Limit of a Function and Limit Laws
2.3 The Precise Definition of a Limit
2.4 One-Sided Limits
2.5 Continuity
2.6 Limits Involving Infinity; Asymptotes of Graphs
Questions to Guide Your Review
Practice Exercises
Additional and Advanced Exercises
Technology Application Projects
3. Derivatives
3.1 Tangent Lines and the Derivative at a Point
3.2 The Derivative as a Function
3.3 Differentiation Rules
3.4 The Derivative as a Rate of Change
3.5 Derivatives of Trigonometric Functions
3.6 The Chain Rule
3.7 Implicit Differentiation
3.8 Derivatives of Inverse Functions and Logarithms
3.9 Inverse Trigonometric Functions
3.10 Related Rates
3.11 Linearization and Differentials
Questions to Guide Your Review
Practice Exercises
Additional and Advanced Exercises
Technology Application Projects
4. Applications of Derivatives
4.1 Extreme Values of Functions on Closed Intervals
4.2 The Mean Value Theorem
4.3 Monotonic Functions and the First Derivative Test
4.4 Concavity and Curve Sketching
4.5 Indeterminate Forms and L'Hôpital's Rule
4.6 Applied Optimization
4.7 Newton's Method
4.8 Antiderivatives
Questions to Guide Your Review
Practice Exercises
Additional and Advanced Exercises
Technology Application Projects
5. Integrals
5.1 Area and Estimating with Finite Sums
5.2 Sigma Notation and Limits of Finite Sums
5.3 The Definite Integral
5.4 The Fundamental Theorem of Calculus
5.5 Indefinite Integrals and the Substitution Method
5.6 Definite Integral Substitutions and the Area Between Curves
Questions to Guide Your Review
Practice Exercises
Additional and Advanced Exercises
Technology Application Projects
6. Applications of Definite Integrals
6.1 Volumes Using Cross-Sections
6.2 Volumes Using Cylindrical Shells
6.3 Arc Length
6.4 Areas of Surfaces of Revolution
6.5 Work and Fluid Forces
6.6 Moments and Centers of Mass
Questions to Guide Your Review
Practice Exercises
Additional and Advanced Exercises
Technology Application Projects
7. Integrals and Transcendental Functions
7.1 The Logarithm Defined as an Integral
7.2 Exponential Change and Separable Differential Equations
7.3 Hyperbolic Functions
7.4 Relative Rates of Growth
Questions to Guide Your Review
Practice Exercises
Additional and Advanced Exercises
8. Techniques of Integration
8.1 Using Basic Integration Formulas
8.2 Integration by Parts
8.3 Trigonometric Integrals
8.4 Trigonometric Substitutions
8.5 Integration of Rational Functions by Partial Fractions
8.6 Integral Tables and Computer Algebra Systems
8.7 Numerical Integration
8.8 Improper Integrals
8.9 Probability
Questions to Guide Your Review
Practice Exercises
Additional and Advanced Exercises
Technology Application Projects
9. First-Order Differential Equations
9.1 Solutions, Slope Fields, and Euler's Method
9.2 First-Order Linear Equations
9.3 Applications
9.4 Graphical Solutions of Autonomous Equations
9.5 Systems of Equations and Phase Planes
Questions to Guide Your Review
Practice Exercises
Technology Application Projects
10. Infinite Sequences and Series
10.1 Sequences
10.2 Infinite Series
10.3 The Integral Test
10.4 Comparison Tests
10.5 Absolute Convergence; The Ratio and Root Tests
10.6 Alternating Series and Conditional Convergence
10.7 Power Series
10.8 Taylor and Maclaurin Series
10.9 Convergence of Taylor Series
10.10 Applications of Taylor Series
Questions to Guide Your Review
Practice Exercises
Additional and Advanced Exercises
Technology Application Projects
11. Parametric Equations and Polar Coordinates
11.1 Parametrizations of Plane Curves
11.2 Calculus with Parametric Curves
11.3 Polar Coordinates
11.4 Graphing Polar Coordinate Equations
11.5 Areas and Lengths in Polar Coordinates
11.6 Conic Sections
11.7 Conics in Polar Coordinates
Questions to Guide Your Review
Practice Exercises
Additional and Advanced Exercises
Technology Application Projects
| Erscheint lt. Verlag | 6.3.2025 |
|---|---|
| Verlagsort | Harlow |
| Sprache | englisch |
| Themenwelt | Mathematik / Informatik ► Mathematik ► Analysis |
| ISBN-10 | 1-292-48387-3 / 1292483873 |
| ISBN-13 | 978-1-292-48387-0 / 9781292483870 |
| Zustand | Neuware |
| Informationen gemäß Produktsicherheitsverordnung (GPSR) | |
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