Thomas' Calculus 12th

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Thomas' Calculus 12th eTextbook + Solutions + Maple, Mathematic [482.76 Mib]

This text is designed for a three-semester or four-quarter calculus course (math, engineering, and science majors).

Calculus hasn't changed, but your students have. They have been raised on technology, immediacy, and the desire for relevance, and they come to calculus with varied mathematical backgrounds. Thomas' Calculus, Twelfth Edition, helps you reach today's students by developing conceptual understanding while maintaining a consistent level of rigor; offering the right mix of relevant applications, conceptual exercises, and skills practice; and incorporating current learning and teaching technology. This significant revision features more examples, more mid-level exercises, more figures, improved conceptual flow, and increased clarity and precision.


CourseSmart textbooks do not include any media or print supplements that come packaged with the bound book.
Table of Contents

1. Functions
1.1 Functions and Their Graphs
1.2 Combining Functions; Shifting and Scaling Graphs
1.3 Trigonometric Functions
1.4 Graphing with Calculators and Computers

2. Limits and Continuity
2.1 Rates of Change and Tangents 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

3. Differentiation
3.1 Tangents 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 Related Rates
3.9 Linearization and Differentials

4. Applications of Derivatives
4.1 Extreme Values of Functions
4.2 The Mean Value Theorem
4.3 Monotonic Functions and the First Derivative Test
4.4 Concavity and Curve Sketching
4.5 Applied Optimization
4.6 Newton's Method
4.7 Antiderivatives
.....................
and much much more

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