Lake Superior State University
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Mathematics

Students in mathematics regularly participate in faculty-supervised competitions
Senior Projects/Research
 
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Students in mathematics regularly participate in faculty-supervised competitions, including the William Lowell Putnam Mathematical Competition and the Alma College Michigan Autumn Take Home Challenge. Students are also offered the chance to participate in a variety of individualized “special topics” experiences during the course of their undergraduate careers. Students in the non-education degree programs are expected to complete some type of senior-level research or applications project, again under the direct supervision of a departmental faculty member.

  


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Under- standing the Fourier Transform

Edward Kramer

Fourier transforms are used for obtaining the frequency spectrum of a signal. For instance, in nuclear magnetic resonance spectroscopy, a molecule’s spin in a magnetic field is analyzed to discover its oscillation frequencies and draw conclusions about its chemical consistency. In this work, the basic definitions and elementary mathematical properties of the Fourier integral, used as the main theoretical tool in Fourier transform analysis, were studied, together with some applications of these properties in computing the Fourier integral of some functions perceived as time signals in order to discover their frequency spectra.

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