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Worksheet
Curated OER

Worksheet 37

For Students 11th - Higher Ed
In this math worksheet, students examine the similarities between three-dimensional geometric vectors and Fourier series. Then they write proofs for some of the equations.
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Handout
Wolfram Research

Wolfram Math World: Infinite Series

For Students 9th - 10th Standards
The site contains information on infinite series. Includes formulas and links to related topics.
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Interactive
University of Colorado

University of Colorado: Ph Et Interactive Simulations: Fourier Making Waves

For Students 9th - 10th
Learn how to make waves of all different shapes by adding up sines or cosines. Make waves in space and time and measure their wavelengths and periods. See how changing the amplitudes of different harmonics changes the waves. Compare...
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eBook
Other

Rochester Institute of Technology: Basics of Nmr

For Students 9th - 10th
A good overview of NMR. Some of the pictures are slow, but the explanation makes the concepts clear.
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Activity
Wolfram Research

Wolfram Math World: Fourier Transform Exponential Function

For Students 9th - 10th
This site explains how the Fourier transform of an exponential function is related to the Lorentzian function. Site also contains relevant links.
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Handout
University of Manchester

Umist: Mathematical Formula Tables

For Students 9th - 10th
This site has links to tables of mathematical formulas. To view them, the student must download the formulas in pdf format.
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Activity
Other

Old Dominion University: Geometric Series

For Students 9th - 10th Standards
This site explains the geometric series. There is a link to the theory of the geometric theory.
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Activity
Colorado State University

Csu: Heat Transfer Mechanisms

For Students 9th - 10th
An excellent page from the Colorado State University with a heavy mathematical emphasis. Each form of heat transfer--conduction, convection, and radiation--is defined, compared, and contrasted. Mathematical equations governing the rates...
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Activity
Colorado State University

Colorado State University: Heat Transfer Mechanisms

For Students 9th - 10th
An excellent page from the Colorado State University with a heavy mathematical emphasis. Each form of heat transfer--conduction, convection, and radiation--is defined, compared and contrasted. Mathematical equations governing the rates...
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Website
University of Maryland

University of Maryland: Optics Highlights: Wave Optics

For Students 9th - 10th
Part of an anecdotal history of optics and the study of light. Extremely thorough treatment of how scientists came to believe in the wave nature of light. Includes a short biographical sketch and discusses the work of Thomas Young...
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Handout
University of St. Andrews (UK)

University of St. Andrews: Georg Simon Ohm

For Students 9th - 10th
More than a dry series of facts about Ohm's life, this page from the University of St. Andrews provides interesting anecdotal accounts which reveal the personality behind the man. Thorough, interesting and an abundance of facts. A great...
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Handout
University of St. Andrews (UK)

University of St. Andrews: William Thomson

For Students 9th - 10th
This site from the University of St Andrews provides more than a dry series of facts about Lord Kelvin's life. It provides interesting anecdotal accounts which reveal the personality behind the man. Thorough, interesting, an abundance of...
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Handout
University of St. Andrews (UK)

University of St. Andrews: George Polya

For Students 9th - 10th
This University of St. Andrews site offers a biography of George Polya. Many links are provided.
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Handout
Marxists Internet Archive

Encyclopedia of Marxism: Fourier, Francois Charles

For Students 9th - 10th
This entry from the Marxists Internet Archive relies almost entirely on Frederick Engels' assessment of Fourier and his writing. Extensive quotation from Engel's "The Development of Socialism from Utopia to Science."
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Activity
Interactive Mathematics

Interactive Mathematics: Introduction to Infinite Series

For Students 9th - 10th
This discussion on infinite series is a precursor to a lesson on the Fourier Series. The lesson uses graph comparison to distinguish between a series and an infinite series.
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Activity
Interactive Mathematics

Interactive Mathematics: Fourier Series Even & Odd Functions

For Students 9th - 10th
After identifying even and odd functions, the process for finding the Fourier Series for these types of functions is demonstrated. Detailed examples and graphs are provided.
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Activity
Interactive Mathematics

Interactive Mathematics: Half Range Fourier Series

For Students 9th - 10th
This presentation helps to identify when a function can be represented by only a half range Fourier series. It then shows how to find these series for even and odd functions.
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Activity
Interactive Mathematics

Interactive Mathematics: Fast Fourier Transform

For Students 9th - 10th
The Fast Fourier Transform is applied using examples of digital audio recording. Connections to frequency are made through prisms and the cochlea of the ear.
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Activity
Other

Seton Hall Univ: Series and Convergence

For Students 9th - 10th
This is a short lesson explaining the partial sums