Curated OER
Using Fourier Series
In this Fourier series worksheet, students use polynomials to approximate functions. They use trigonometric functions to approximate periodic functions. Students sketch graphs of functions and find the second degree Fourier polynomial....
Curated OER
Visualizing Taylor Series and Fourier Series Approximations
In this math instructional activity, students read the examples of the Taylor series and geometric series. Then they investigate the application of examining the Taylor polynomials.
Curated OER
Worksheet 37
For this math worksheet, students examine the similarities between three-dimensional geometric vectors and Fourier series. Then they write proofs for some of the equations.
Curated OER
Worksheet 28
In this math worksheet, students determine the solutions of the functions using the Fourier series. They also use computer to create some graphs for functions.
Curated OER
Worksheet 28
In this math worksheet, students study the Fourier series and consider the special orthogonal basis of functions. They write certain functions as an infinite sum.
Curated OER
Worksheet 34
In this math worksheet, students are given terms from the Fourier sine or cosine series. They solve for the corresponding term that is in the solution u(x,t). Boundaries are specified. Three application problems follow the terms.
Curated OER
MA 439-Math of Image Processing
In this image processing learning exercise, students use a matrix to solve ten problems. For the first six problems, students are guided to the answer by carefully sequenced questions. The final four problems require students to make a...
Curated OER
Worksheet 36
In this math worksheet students find the solution u(x,y) of Laplace's equation in a given rectangle with specified boundaries. Students use the chain rule to compute values for a function and relate this answer to Laplace's equation....
Curated OER
Design Project: Radio Transmitter
For this electrical circuit worksheet, students research the Federal Communication Commission to determine the regulations for a non-license radio transmitter. They will answer a series of another 3 questions to show an understanding of...
Curated OER
Worksheet 32
In this math worksheet, students give a physical interpretation for each of the boundary conditions for the functions. Then they apply the method of separation of variables to find the solutions to the wave equation
Curated OER
Worksheet 35
In this math worksheet, students write a problem having solution u(x, t) for each function u given. They include the lengths, physical constants, and initial conditions.
Curated OER
Worksheet 38 Practice Exam 4
In this math worksheet, students solve the homogeneous endpoint heat conduction problem for a rod of length π/2 and initial temperature distribution. They also find the steady state temperature on a disk.
Curated OER
Data Analysis and Measurement: Ahead, Above the Clouds
Students explore and discuss hurricanes, and examine how meteorologists, weather officers, and NASA researchers use measurement and data analysis to predict severe weather. They plot points on coordinate map, classify hurricanes...
Curated OER
Worksheet 31
In this math worksheet, students find the solutions to the differential equations. They also investigate the application of recognizing the parts of the equation.
American Association of Physics Teachers
Com Padre Digital Library: Open Source Physics: Harmonics and Fourier Series
The downloadable interactive java simulation displays the sum of harmonics through a Fourier series to yield a new wave.
Other
Calculating Fourier Series
The authors provide problems involving the calculation of Fourier series and then take a stepwise approach to solving them.
Analyze Math
Analyze Math: Fourier Series of Periodic Functions
The tutorial investigates the Fourier series. The resource consists of an example that shows how Fourier coefficients are calculated and an interactive applet that examines the Fourier series.
Wolfram Research
Wolfram Math World: Infinite Series
The site contains information on infinite series. Includes formulas and links to related topics.
Interactive Mathematics
Interactive Mathematics: Half Range Fourier Series
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.
Interactive Mathematics
Interactive Mathematics: Full Range Fourier Series
This lesson presents the Dirichlet conditions that are required in order to represent a function as a Fourier Series. Examples are provided along with graphs of the waveforms that represent the functions.
Interactive Mathematics
Interactive Mathematics: Fourier Series Even & Odd Functions
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.
Interactive Mathematics
Interactive Mathematics: Vital Revision for Fourier Series
Begin your studies of the Fourier Series with this lesson. It contains information on all of the essentials of getting started, including trigonometric functions, continuity, periodic functions, and more.
Texas Instruments
Texas Instruments: Fourier Analysis
Students use the TI InterActive! software to explore the connection between a function and its Fourier series.
Other
Old Dominion University: Geometric Series
This site explains the geometric series. There is a link to the theory of the geometric theory.