Authors | |

Publisher | Pearson Education |

Year | 01/02/2019 |

Edition | 14 |

Pages | 1232 |

Version | paperback |

Readership level | College/higher education |

Language | English |

ISBN | 9781292253114 |

Categories | Calculus & mathematical analysis |

Replaces | 9781292163444 |

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For three-semester or four-quarter courses in Calculus for students majoring in mathematics, engineering, or science

**Clarity and precision**

* Thomas' Calculus: Early Transcendentals *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

**Also available with Pearson MyLab Math**^{}

Pearson MyLab™ Math is an online homework, tutorial, and assessment program designed to work with this text to engage students and improve results. Within its structured environment, students practice what they learn, test their understanding, and pursue a personalized study plan that helps them absorb course material and understand difficult concepts. A full suite of** Interactive Figures**** **have been added to the accompanying Pearson MyLab Math course to further support teaching and learning.** Enhanced Sample Assignments **include just-in-time prerequisite review, help keep skills fresh with distributed practice of key concepts, and provide opportunities to work exercises without learning aids to help students develop confidence in their ability to solve problems independently.

Thomas' Calculus: Early Transcendentals in SI Units

1. Functions

1.1 Functions and Their Graphs

1.2 Combining Functions; Shifting and Scaling Graphs

1.3 Trigonometric Functions

1.4 Exponential Functions

1.5 Inverse Functions and Logarithms

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 Limits Involving Infinity; Asymptotes of Graphs

2.6 Continuity

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

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

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

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

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

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 Ta