Calculus: Single Variable with Online Resources Access Card / Edition 2 available in Hardcover
- Pub. Date:
- McGraw-Hill Companies, The
The authors follow a relatively standard order of presentation, while integrating technology and thought-provoking exercises throughout the text. Some minor changes have been made in the order of topics to reflect shifts in the importance of certain applications in engineering and science. This text also gives an early introduction to logarithms, exponentials and the trigonometric functions. Wherever practical, concepts are developed from graphical, numerical, and algebraic perspectives (the "Rule of Three") to give students a full understanding of calculus. This text places a significant emphasis on problem solving and presents realistic applications, as well as open-ended problems.
|Publisher:||McGraw-Hill Companies, The|
|Edition description:||Older Edition|
|Product dimensions:||8.70(w) x 10.30(h) x 1.22(d)|
Table of Contents0 Preliminaries0.1 The Real Numbers and the Cartesian Plane 0.2 Lines and Functions 0.3 Graphing Calculators and Computer Algebra Systems 0.4 Solving Equations 0.5 Trigonometric Functions 0.6 Exponential and Logarithmic Functions 0.7 Transformations of Functions 0.8 Preview of Calculus 1 Limits and Continuity 1.1 The Concept of Limit 1.2 Computation of Limits 1.3 Continuity and its Consequences 1.4 Limits Involving Infinity 1.5 Formal Definition of the Limit 1.6 Limits and Loss-of-Significance Errors 2 Differentiation 2.1 Tangent Lines and Velocity 2.2 The Derivative 2.3 Computation of Derivatives: The Power Rule 2.4 The Product and Quotient Rules 2.5 Derivatives of Trigonometric Functions 2.6 Derivatives of Exponential and Logarithmic Functions 2.7 The Chain Rule 2.8 Implicit Differentiation and Related Rates 2.9 The Mean Value Theorem 3 Applications of Differentiation 3.1 Linear Approximations adn L'Hopital's Rule 3.2 Newton's Method 3.3 Maximum and Minimum Values (and more...)