Handout
Math2

Math2.org: Series Expansion

For Students 9th - 10th
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.
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.
Handout
Stanford University

Geometric Series

For Students 9th - 10th Standards
This resource has a short explanation of the geometric series.
Activity
Harvey Mudd College

Harvey Mudd College: Special Trigonometric Integrals

For Students 9th - 10th
Proves that the cos and sin functions form an orthogonal set, as it applies to Fourier series.
Activity
Texas Instruments

Texas Instruments: Getting Started With the Calculus Tools App

For Teachers 9th - 10th
This user-friendly application extends the build-in power of your TI-89 and TI-92 Plus by providing more specialized functionality. Use Calculus to investigate applications of differentiation, compare numerical integration techniques and...
Handout
Other

Math Pages: Mean Partial Sums of Non Convergent Series

For Students 9th - 10th
This is a wordy and comprehensive site explaining the mean partial sums of non-convergent series.
Graphic
Rice University

Rice University: Cynthia Lanius: Visualizing an Infinite Series

For Students 9th - 10th
This site explains the infinite series through visualization.
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.
Activity
Paul Dawkins

Paul's Online Notes: Differential Equations

For Students 9th - 10th
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...
Activity
Interactive Mathematics

Interactive Mathematics: Harmonic Analysis

For Students 9th - 10th
Derived from the Fourier series, the harmonic series can be used to represent even and odd functions. Definitions of second and third harmonics are also provided.
Activity
Interactive Mathematics

Interactive Mathematics: Line Spectrum

For Students 9th - 10th
Using Fourier and Harmonic series, the line spectrums of functions are derived and represented on graphs. Several music examples show the connection between harmonics and sound.
Online Course
Cosmo Learning

Cosmo Learning: Computational Science and Engineering I

For Students 9th - 10th
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...
Activity
Other

Seton Hall Univ: Series and Convergence

For Students 9th - 10th
This is a short lesson explaining the partial sums
Activity
Massachusetts Institute of Technology

Mit: Open Course Ware: Differential Equations

For Teachers 9th - 10th
The online course consists of educational materials about differential equation. Video lectures, readings, syllabus, exams, interactive mathlets, and assignments with solutions are included.
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...
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...
Website
Math2

Math2

For Students 9th - 10th Standards
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.
Article
Dartmouth College

Dartmouth College: Mqed: Computer Music

For Teachers 9th - 10th
The downloadable monograph investigates computer music. Topics included are the MIDI system, waves, synthesizers, coding, and computer music applications.
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.