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Advanced Calculus
Conditional Remix & Share Permitted
CC BY-NC-SA
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Some of the topics that this book addresses are: Vector spaces; finite-dimensional vector spaces; differential calculus; compactness and completeness; scalar product space; differential equations; multilenear functionals; integration; differentiable manifolds; integral calculus on manifolds; exterior calculus.

Note: this is a 57 MB PDF Document.

Subject:
Calculus
Mathematics
Material Type:
Textbook
Provider:
Harvard University
Provider Set:
Individual Authors
Author:
Sternberg Shlomo and Lynn Loomis
Date Added:
02/16/2011
Integral Calculus with Applications to Life Sciences Exercise Book
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CC BY-NC-SA
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This exercise book contains a wide variety of problems in integral calculus, linear algebra, and linear regression, with applications to differential equations, probability, and life sciences. Every problem has a very detailed solution, and the book is self-contained, as the summary for every concept is provided. The book aims to help students learn the material more efficiently and get better results.

Subject:
Calculus
Mathematics
Material Type:
Textbook
Provider:
University of British Columbia
Author:
Paul Tsopméné
Date Added:
03/14/2023
Volumes of Complex Solids
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Educational Use
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Challenged with a hypothetical engineering work situation in which they need to figure out the volume and surface area of a nuclear power plant’s cooling tower (a hyperbolic shape), students learn to calculate the volume of complex solids that can be classified as solids of revolution or solids with known cross sections. These objects of complex shape defy standard procedures to compute volumes. Even calculus techniques depend on the ability to perform multiple measurements of the objects or find functional descriptions of their edges. During both guided and independent practice, students use (free GeoGebra) geometry software, a photograph of the object, a known dimension of it, a spreadsheet application and integral calculus techniques to calculate the volume of complex shape solids within a margin of error of less than 5%—an approach that can be used to compute the volumes of big or small objects. This activity is suitable for the end of the second semester of AP Calculus classes, serving as a major grade for the last six-week period, with students’ project results presentation grades used as the second semester final test.

Subject:
Career and Technical Education
Geometry
Mathematics
Measurement and Data
Material Type:
Activity/Lab
Provider:
TeachEngineering
Author:
Miguel R. Ramire
Date Added:
02/07/2017
Whitman Calculus
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CC BY-NC-SA
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An introductory level single variable calculus book, covering standard topics in differential and integral calculus, and infinite series. Late transcendentals and multivariable versions are also available.

Subject:
Calculus
Mathematics
Material Type:
Textbook
Provider:
Whitman College
Author:
David Guichard
Date Added:
01/01/2010