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Active Calculus / Brian Stanley.

By: Material type: TextTextLanguage: English Publication details: UK : Phoenix Publications, 2023.Edition: 1st edDescription: xiii, 533 p. : ill. ; 25 cmISBN:
  • 9789394612648
Subject(s): DDC classification:
  • 515 STA
Contents:
Understanding the Derivative. Computing Derivative. Using Derivative. The Definite Integral. Evaluating Integrals. Using Definite Integrals. Differential Equations. Sequences and Series.
Summary: In Active Calculus, we endeavor to actively engage students in learning the subject through an activity-driven approach in which the vast majority of the examples are completed by students. Where many texts present a general theory of calculus followed by substantial collections of worked examples, we instead pose problems or situations, consider possibilities, and then ask students to investigate and explore. Following key activities or examples, the presentation normally includes some overall perspective and a brief synopsis of general trends or properties, followed by formal statements of rules or theorems. While we often offer plausibility arguments for such results, rarely do we include formal proofs. It is not the intent of this text for the instructor or author to demonstrate to students that the ideas of calculus are coherent and true, but rather for students to encounter these ideas in a supportive, leading manner that enables them to begin to understand for themselves why calculus is both coherent and true. This approach is consistent with the growing body of scholarship that calls for students to be interactively engaged in class.
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Reference Reference Kalaignar Centenary Library Madurai ENGLISH-REFERENCE BOOKS மூன்றாம் தளம் / Third floor 515 STA (Browse shelf(Opens below)) Not for loan 284719
English Books Kalaignar Centenary Library Madurai ENGLISH - LENDING BOOKS மூன்றாம் தளம் / Third floor 515 STA (Browse shelf(Opens below)) Available 284720
English Books Kalaignar Centenary Library Madurai ENGLISH - LENDING BOOKS மூன்றாம் தளம் / Third floor 515 STA (Browse shelf(Opens below)) Available 284721

Active Calculus by Brian Stanley.

Includes index.

Understanding the Derivative. Computing Derivative. Using Derivative. The Definite Integral. Evaluating Integrals. Using Definite Integrals. Differential Equations. Sequences and Series.


In Active Calculus, we endeavor to actively engage students in learning the subject through an activity-driven approach in which the vast majority of the examples are completed by students. Where many texts present a general theory of calculus followed by substantial collections of worked examples, we instead pose problems or situations, consider possibilities, and then ask students to investigate and explore. Following key activities or examples, the presentation normally includes some overall perspective and a brief synopsis of general trends or properties, followed by formal statements of rules or theorems. While we often offer plausibility arguments for such results, rarely do we include formal proofs. It is not the intent of this text for the instructor or author to demonstrate to students that the ideas of calculus are coherent and true, but rather for students to encounter these ideas in a supportive, leading manner that enables them to begin to understand for themselves why calculus is both coherent and true.

This approach is consistent with the growing body of scholarship that calls for students to be interactively engaged in class.

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