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Using Fourier Series
In this Fourier series instructional activity, students use polynomials to approximate functions. They use trigonometric functions to approximate periodic functions. Students sketch graphs of functions and find the second degree...
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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.
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Worksheet 37
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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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.
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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.
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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.
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MA 439-Math of Image Processing
In this image processing worksheet, 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 series of...
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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....
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Design Project: Radio Transmitter
In this electrical circuit instructional activity, 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...
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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
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Worksheet 35
For 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.
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Worksheet 38 Practice Exam 4
For 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.
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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...
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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.