Authors | |

Publisher | Pearson Education |

Year | 01/08/2019 |

Edition | Fourth |

Pages | 1104 |

Version | paperback |

Readership level | College/higher education |

Language | English |

ISBN | 9781292317304 |

Categories | Calculus & mathematical analysis |

Replaces | 9781292104034 |

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*This title is a Pearson Global Edition. The Editorial team at Pearson has worked closely with educators around the world to include content which is especially relevant to students outside the United States. *

*For 3-semester or 4-quarter courses covering single variable and multivariable calculus, taken by students of mathematics, engineering, natural sciences, or economics.*

**Clear, precise, concise**

** University Calculus: Early Transcendentals** helps students generalize and apply the key ideas of calculus through clear and precise explanations, thoughtfully chosen examples, meticulously crafted figures, and superior exercise sets. This text offers the right mix of basic, conceptual, and challenging exercises, along with meaningful applications. In the

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University 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 Graphing with Software

1.5 Exponential Functions

1.6 Inverse Functions and Logarithms

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**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*

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**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*

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**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*

**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 &nb