Thomas’ Calculus 14th Edition by Joel Hass, Christopher Heil, Maurice Weir ISBN 0134438981 9780134438986

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ISBN 10:    0134438981
ISBN 13: 978-0134438986
Author:      Joel Hass, Christopher Heil, Maurice Weir

Clarity and precision

Thomas’ Calculus helps students reach the level of mathematical proficiency and maturity you require, but with support for students who need it through its balance of clear and intuitive explanations, current applications, and generalized concepts. In the 14th Edition, new co-author Christopher Heil (Georgia Institute of Technology) partners with author Joel Hass to preserve what is best about Thomas’ time-tested text while reconsidering every word and every piece of art with today’s students in mind. The result is a text that goes beyond memorizing formulas and routine procedures to help students generalize key concepts and develop deeper understanding.

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Note: You are purchasing a standalone product; MyLab does not come packaged with this content. Students, if interested in purchasing this title with MyLab, ask your instructor for the correct package ISBN and Course ID. Instructors, contact your Pearson representative for more information.

Thomas’ Calculus 14th Table of contents:

Part 1: Functions and Limits

1. Functions and Models
   • Functions and Graphs
   • Types of Functions
   • Mathematical Models
2. Limits and Continuity
   • The Concept of a Limit
   • Techniques for Finding Limits
   • Continuity
   • The Squeeze Theorem
   • Limits Involving Infinity

Part 2: Derivatives 3. The Derivative

• The Definition of the Derivative
• Differentiation Rules
• The Product and Quotient Rules
• The Chain Rule

4. Applications of Derivatives
   • Related Rates
   • Maximum and Minimum Values
   • The Mean Value Theorem
   • Curve Sketching
   • Optimization Problems
5. The Derivatives of Trigonometric Functions
   • Derivatives of Sine, Cosine, and Other Trig Functions
   • The Chain Rule for Trigonometric Functions
6. Techniques of Differentiation
   • Implicit Differentiation
   • Higher-Order Derivatives
   • Derivatives of Logarithmic and Exponential Functions

Part 3: Integrals 7. The Definite Integral

• The Concept of the Definite Integral
• The Fundamental Theorem of Calculus
• The Mean Value Theorem for Integrals
• Numerical Integration Methods

8. Integration Techniques
   • Substitution
   • Integration by Parts
   • Trigonometric Integrals and Substitutions
   • Partial Fractions
9. Applications of Integration
   • Area Between Curves
   • Volume of Solids of Revolution
   • Arc Length and Surface Area
   • Applications in Physics and Engineering

Part 4: Transcendental Functions 10. Exponential and Logarithmic Functions

• The Exponential Function
• Logarithmic Functions
• Derivatives and Integrals of Exponential and Logarithmic Functions
• Applications of Exponentials and Logarithms

11. Trigonometric Functions

• The Inverse Trigonometric Functions
• Hyperbolic Functions
• Derivatives and Integrals of Hyperbolic Functions

Part 5: Sequences and Series 12. Sequences

• The Definition of a Sequence
• Limits of Sequences
• Monotonic Sequences and Bounded Sequences

13. Series

• The Definition of a Series
• Convergence Tests for Series
• Power Series and Taylor Series

14. Parametric Equations and Polar Coordinates

• Parametric Equations
• Calculus with Parametric Equations
• Polar Coordinates
• Calculus with Polar Coordinates

Part 6: Multivariable Calculus 15. Vectors and the Geometry of Space

• Vectors in Two and Three Dimensions
• Dot Product and Cross Product
• Equations of Lines and Planes

16. Vector-Valued Functions

• Differentiation and Integration of Vector Functions
• Motion in Space

17. Partial Derivatives

• Functions of Several Variables
• The Partial Derivatives of Functions
• The Chain Rule for Multivariable Functions

18. Multiple Integrals

• Double Integrals
• Triple Integrals
• Applications of Multiple Integrals

Part 7: Vector Calculus 19. Vector Fields

• Vector Functions and Vector Fields
• Gradient, Divergence, and Curl
• Line Integrals and Their Applications

20. Green’s Theorem, Stokes’ Theorem, and Divergence Theorem

• Green’s Theorem
• Stokes’ Theorem
• The Divergence Theorem

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