Now in its 4th edition, Smith/Minton, Calculus offers students and instructors a mathematically sound text, robust exercise sets and elegant presentation of calculus concepts. When packaged with ALEKS Prep for Calculus, the most effective remediation tool on the market, Smith/Minton offers a complete package to ensure students success in calculus. The new edition has been updated with a reorganization of the exercise sets, making the range of exercises more transparent. Additionally, over 1,000 new classic calculus problems were added. New features include:
ALEKS Prep for Calculus is a Web-based, artificially intelligent assessment and learning system. ALEKS uses adaptive questioning to quickly and accurately determine exactly what a student knows and doesn’t know in a course. ALEKS then instructs the student on the topics she is most ready to learn. ALEKS Prep for Calculus focuses on helping students remediate on the prerequisite knowledge necessary for success in Calculus.
1,000 new classic calculus problems were added covering topics from polynomials to multivariable calculus, including optimization, related rates, integration techniques and applications, parametric and polar equations, vectors, vector calculus, and differential equations.
Reorganized Exercise Sets – Exercise sets have been reorganized to make the range of problems more transparent. Earlier exercises focus on fundamentals, as developed in examples in the text. Later exercises explore interesting extensions of the material presented in the text.
Application exercises have been separated out in all appropriate sections. A new header identifies the location of applied exercises which are designed to show students the connection between what they learn in class, other areas of study, and outside life.
Multi-step exercises help students make connections among concepts and require students to become more critical readers. Closely related exercises are different parts of the same numbered exercise, with follow-up questions to solidify lessons learned.
The derivatives of hyperbolic functions are developed in Section 6.6, giving this important class of functions a full development. Separating these functions from the exponential and trigonometric functions allows for early and comprehensive exploration of the relationship between these functions, exponential functions, trigonometric functions, and their derivatives and integrals.
1. Limits and Continuity
3. Applications of the Derivative
5. Applications of the Definite Integral
6. Exponentials, Logarithms and other Transcendental Functions
7. Integration Techniques
8. First-Order Differential Equations
9. Infinite Series
10. Parametric Equations and Polar Coordinates
11. Vectors and the Geometry of Space
12. Vector-Valued Functions
13. Functions of Several Variables and Partial Differentiation
14. Multiple Integrals
15. Vector Calculus
16. Second Order Differential Equations