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  • integration
Mathematical Analysis I
Unrestricted Use
CC BY
Mathematical Analysis I
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This award-winning text carefully leads the student through the basic topics of Real Analysis. Topics include metric spaces, open and closed sets, convergent sequences, function limits and continuity, compact sets, sequences and series of functions, power series, differentiation and integration, Taylor's theorem, total variation, rectifiable arcs, and sufficient conditions of integrability. Well over 500 exercises (many with extensive hints) assist students through the material.

Subject:
Mathematics
Material Type:
Textbook
Author:
Elias Zakon
Date Added:
07/16/2019
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Measure, Integration & Real Analysis
Conditional Remix & Share Permitted
CC BY-NC
Measure, Integration & Real Analysis
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This book seeks to provide students with a deep understanding of the definitions, examples, theorems, and proofs related to measure, integration, and real analysis. The content and level of this book fit well with the first-year graduate course on these topics at most American universities. This textbook features a reader-friendly style and format that will appeal to today's students.

Subject:
Mathematics
Material Type:
Textbook
Author:
Sheldon Axler
Date Added:
06/10/2020
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Modeling Ecosystems: Integrating Science, Literacy, and Art
Conditional Remix & Share Permitted
CC BY-SA
Modeling Ecosystems: Integrating Science, Literacy, and Art
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This article describes a number of creative projects that incorporate art and literacy skills into a science unit on biomes and ecosystems.

Subject:
Applied Science
Environmental Science
Geoscience
Physical Science
Technology
Material Type:
Lesson Plan
Provider:
Ohio State University College of Education and Human Ecology
Provider Set:
Beyond Penguins and Polar Bears: An Online Magazine for K-5 Teachers
Author:
Jessica Fries-Gaither
Date Added:
10/17/2014
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Multivariable Calculus
Conditional Remix & Share Permitted
CC BY-NC-SA
Multivariable Calculus
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This course covers differential, integral and vector calculus for functions of more than one variable. These mathematical tools and methods are used extensively in the physical sciences, engineering, economics and computer graphics.

Subject:
Calculus
Mathematics
Material Type:
Full Course
Provider:
MIT
Provider Set:
High School Highlights
Author:
Denis Auroux
Date Added:
09/04/2019
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Numerical Marine Hydrodynamics (13.024)
Conditional Remix & Share Permitted
CC BY-NC-SA
Numerical Marine Hydrodynamics (13.024)
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This course is an introduction to numerical methods: interpolation, differentiation, integration, and systems of linear equations. It covers the solution of differential equations by numerical integration, as well as partial differential equations of inviscid hydrodynamics: finite difference methods, boundary integral equation panel methods. Also addressed are introductory numerical lifting surface computations, fast Fourier transforms, the numerical representation of deterministic and random sea waves, as well as integral boundary layer equations and numerical solutions.
This course was originally offered in Course 13 (Department of Ocean Engineering) as 13.024. In 2005, ocean engineering subjects became part of Course 2 (Department of Mechanical Engineering), and this course was renumbered 2.29.

Subject:
Applied Science
Engineering
Mathematics
Oceanography
Physical Science
Material Type:
Full Course
Provider:
MIT
Provider Set:
MIT OpenCourseWare
Author:
Milgram, Jerome
Date Added:
02/01/2003
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