Worksheet
Curated OER

Using Fourier Series

For Students Higher Ed
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....
Worksheet
Curated OER

Visualizing Taylor Series and Fourier Series Approximations

For Students 11th - Higher Ed
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.
Lesson Plan
Curated OER

Determination of Plasticizer in PVC

For Teachers 12th - Higher Ed
Students isolate and determine the amount of plasticizer in polyvinyl chloride. They use Infrared Spectroscopy (IR) or Fourier Transform Infrared Spectroscopy (FTIR) and gravimetric techniques in this experiment.
Worksheet
Curated OER

Worksheet 37

For Students 11th - Higher Ed
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.
Worksheet
Curated OER

Worksheet 34

For Students Higher Ed
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.
Lesson Plan
Curated OER

Worksheet 36

For Teachers Higher Ed
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....
Worksheet
Curated OER

Worksheet 28

For Students 11th - Higher Ed
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.
Worksheet
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Worksheet 28

For Students 11th - Higher Ed
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.
Worksheet
Curated OER

MA 439-Math of Image Processing

For Students Higher Ed
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...
Lesson Plan
National Center for Case Study Teaching in Science

A Tale of Two Houses

For Teachers 9th - 12th
Does it cost more per year to heat Bill's home in North Dakota or to cool Bubba's home in Georgia? Using heat transfer concepts, mathematical equations, and critical thinking skills, young engineers work in groups to determine who is...
Interactive
Curated OER

The Worldly Philosophers by Robert Louis Heilbroner

For Students 9th - Higher Ed
For this online interactive reading comprehension worksheet, students respond to 15 multiple choice questions based on The Worldly Philosophers. Students may submit their answers to be scored.
eBook
Planet e-Book

Crime and Punishment

For Students 9th - 12th Standards
Can an action be so bad that you are sickened with guilt? Rodion Romanovich Raskolnikov, the main character in Fyodor Dostoyevsky's Crime and Punishment, believes that committing a crime could be the answer to his troubles. However,...
Interactive
Curated OER

Design Project: Radio Transmitter

For Students 9th - Higher Ed
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...
Lesson Plan
Curated OER

American Indian Flute and Math

For Teachers 11th - 12th
Students investigate the Math behind Musical instruments in this cross-curricular Math lesson on the Native American Flute and waveforms. The lesson can be accomplished in 6 days and includes an extensive materials list for successful...
Lesson Plan
Curated OER

Data Analysis and Measurement: Ahead, Above the Clouds

For Teachers 9th - 12th
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...
Worksheet
Curated OER

Worksheet 32

For Students 11th - Higher Ed
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
Worksheet
Curated OER

Worksheet 35

For Students 11th - Higher Ed
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.
Worksheet
Curated OER

Worksheet 38 Practice Exam 4

For Students 11th - Higher Ed
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.
Worksheet
Curated OER

Worksheet 31

For Students 12th - Higher Ed
In this math worksheet, students find the solutions to the differential equations. They also investigate the application of recognizing the parts of the equation.
Worksheet
Curated OER

Holiday Homework: Global Studies

For Students 9th - 12th
In this global studies learning exercise, students read the noted 8 chapters in their textbooks and then respond to 34 short answer questions about the French Revolution and Imperialism.
Lesson Plan
Curated OER

The Discovery of Ohm's Law

For Teachers 8th - 12th
Students study Georg Ohm and how he changed mathematics with his law.  In this experimental evidence and stastics lesson students complete an experiment on the characteristics of Ohm's law. 
Lesson Plan
Curated OER

Sun Spot Analysis

For Teachers 9th - 12th
Students use Excel to graph monthly mean Greenwich sunspot numbers from 1749 to 2004. They perform a spectral analysis of the data using the free software program "Spectra". Short answer and thought questions related to the graphical...
Worksheet
Curated OER

MT-A315 Introduction to Linear Algebra

For Students 11th - 12th
In this algebra worksheet, learners figure out the equation of the general vector, they find the orthogonal basis and apply the formula to solve the problems.
Activity
American Association of Physics Teachers

Com Padre Digital Library: Open Source Physics: Harmonics and Fourier Series

For Teachers 9th - 10th
The downloadable interactive java simulation displays the sum of harmonics through a Fourier series to yield a new wave.

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