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Applications of Calculus in Physics
Paperback
Publisher: Independently Published
Published: Feb 22 2020
Pages: 208
Weight: 1.09
Height: 0.44 Width: 8.50 Depth: 11.00
Language: English
Because many students might be seeing calculus for the first time, a basic 100-page Calculus Primer has been included in the text immediately following the applications. The Calculus Primer focuses on giving the students a crash course in how to calculate a derivative and an integral quickly, rather than on the deep rigor taught in many calculus courses. Formal mathematical language has been intentionally avoided to help students acquire this useful tool as quickly as possible. Because this material is being included in a physics application book rather than a calculus course, the Calculus Primer includes exercises with full solutions. These step-by-step solutions are important since many students will attempt to learn this material on their own. So that the student can immediately see if he/she has executed the calculus correctly using the given rules and algorithms, the solutions have intentionally been left in an unsimplified form.
As the student works through the ten applications in the book, Connection Boxes are provided in the margins to map the student to the appropriate section of the Calculus Primer to learn the necessary calculus tool to complete the application. Because the Calculus Primer is designed to provide the necessary calculus tools on an as needed basis, both the topics covered and their order is somewhat different from that of a standard introductory calculus text. The applications are organized in terms of physical content rather than by calculus content. Consequently, physical concepts that are introduced early in a standard physics course appear earlier in this section than those introduced later in the course.
The following examples of the many applications of calculus in physics are covered in this book:
1. Displacement, Velocity, and Acceleration
To help both the student and the instructor, each application also ends with a set of exercises related to the topic of the application.
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