Wolfram Research
Wolfram Math World: Fourier Transform Exponential Function
This site explains how the Fourier transform of an exponential function is related to the Lorentzian function. Site also contains relevant links.
Interactive Mathematics
Interactive Mathematics: Fast Fourier Transform
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.
National High Magnetic Field Laboratory
Magnet Academy: Fourier Transform Ion Cyclotron Resonance (Ft Icr)
FT-ICR is a powerful type of mass spectrometry, co-invented by the Magnet Lab's Alan Marshall, particularly suited to identifying heavy molecules. (Java tutorial)
Math2
Math2.org: Series Expansion
A lengthy look at the rules and formulas of calculus Fourier series. Included topics: Fourier series of functions, remainders of Fourier series, Riemann's theorem, Parseval's theorem, arbitrary intervals, and Fourier transformations.
Cosmo Learning
Cosmo Learning: Computational Science and Engineering I
A collection of video lectures from a course reviewing linear algebra with applications to networks, structures, and estimation. Webpage includes thirty-six lectures from a professor at Massachusetts Institute of Technology. Lectures...
Other
Rochester Institute of Technology: Basics of Nmr
A good overview of NMR. Some of the pictures are slow, but the explanation makes the concepts clear.
Paul Dawkins
Paul's Online Notes: Differential Equations
The tutorial explores differential equations. Topics examined are first order differential equations, second order differential equations, Laplace transforms, Fourier series, higher order differential equations, and systems of...
National High Magnetic Field Laboratory
Magnet Academy: Oil Drop
It may look like a simple black blob, but an oil drop is in fact a phenomenally complex mix of immense molecules called hydrocarbons. Using a type of mass spectrometry called FT-ICR, scientists can analyze oil and other macromolecules...
Science Struck
Science Struck: Guide on Interpolation vs. Extrapolation
Explains what interpolation and extrapolation are and methods used for them in statistics. Gives real-world examples of their applications in telecommunications, engineering, thermodynamics etc.
Massachusetts Institute of Technology
Mit: Open Course Ware: Differential Equations
The online course consists of educational materials about differential equation. Video lectures, readings, syllabus, exams, interactive mathlets, and assignments with solutions are included.
Math2
Math2
This is a site for students and teachers of all grade levels. If you are looking for math tables, general information about math topics, or you would like to ask a question, this is the site to visit.
University of Manchester
Umist: Mathematical Formula Tables
This site has links to tables of mathematical formulas. To view them, the student must download the formulas in pdf format.