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Worksheet 33
In this math worksheet, students find the solutions to the wave equations that are presented in a variety of situations. They also sketch a solution as directed.
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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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Worksheet 37
Learners review the general form of the solution to the Dirichlet problem on the rectangle 0 ≤ x ≤ a, 0 ≤ y ≤ b with homogeneous boundary conditions except for u(a, y) = f(y). Then they use the symmetry to find the general form of the...
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Worksheet 20
In this math worksheet, they write down and solve a differential equation governing the motion of an underdamped spring. Then they find the solution to the initial value problem.
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Worksheet 8
In this math worksheet, students explore how the use of implicit differentiation does not give the solutions to the differential equation. Then they write the definitions to the vocabulary related to differential equations.
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Worksheet 21 Spring 1996
In this math learning exercise, learners consider a path around the unit circle parameterized by σ on the interval [0, 1] with σ(t) = sin(5πt − π), cos(5πt − π). Then they find the vector.
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Worksheet 33
In this math activity, learners state Newton's second law of motion and his law of gravity. Then they state Kepler's three laws of planetary motion.
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Worksheet 31
In this math worksheet, students investigate vectors and polar coordinates. They convert the paths of polar coordinates to Euclidian points.
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Worksheet 22
In this math learning exercise, students demonstrate that the point ( 1√ 2 , −1 2 , 1 2 ) lies on the unit sphere. They find the equation of the plane tangent to the unit sphere.
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Worksheet 23 - Fall 1995
In this math learning exercise, students examine the measurements of a Pizza Hut box. Then they draw out the box and answer questions about its volume.
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Worksheet 28 - Fall 1995
In this math worksheet, students define a definite integral. Then they draw a picture or sequence of pictures with progressively finer partitions..
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Complex Analysis: Function
In this function worksheet, students evaluate problems involving functions, identify the domain and range of functions, and complete inversion mapping. This two-page worksheet contains approximately twelve problems.
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Complex Analysis: Analyticity and Harmonic Functions
In this harmonic function instructional activity, students summarize the theorems on analyticity, differentiability and the Cauch-Rieman equation. They identify the characteristics of a harmonic function. This three-page instructional...
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Complex Analysis: Harmonic Functions
In this harmonic function worksheet, students explore harmonic functions and construct a harmonic conjugate. This three-page worksheet contains three problems, with explanations and examples.
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Related Rates Problems: An Application of Implicit Differentiation and the Chain Rule
In this related rates problem worksheet, students use the chain rule and implicit differentiation to solve related rate problems, such an writing an expression relating to the ripple of a circle. This three-page worksheet contains...
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Applications of Derivatives: General Rules for Optimization
In this minima and maxima worksheet, students find the global and local maxima and minima of one function. They work in small groups to solve one optimization problem. Steps for solving are listed on the page.
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Euler's Method
In this Euler's method learning exercise, students use Euler's method to determine one-second time intervals in a rate problem. They explore functions to estimate rate changes in small time intervals. This two-page learning exercise...
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Limits, Continuity and Local Linearity
For this continuity worksheet, students compute limits, identify continuity, compute the rate of change, determine the instantaneous rate, and graph functions. This eight-page worksheet contains fifteen problems.
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Work
In this work worksheet, students review the equation for work, potential and kinetic energy, and the Law of Conservation of Energy. This worksheet has 22 fill in the blank and 7 short answer questions.
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Single-Step Vector Worksheet
In this forces worksheet, students draw the indicated vector and show the components into which it is resolved and then calculate for acceleration, speed, or momentum. This worksheet has 12 word problems.
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Physics and the Quantum Mechanical Model
In this physics worksheet, students review vocabulary terms and key equations associated with the quantum mechanical model. Students apply the quantum theory to explain the photoelectric effect. This worksheet has 5 true or false, 12...
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Electromagnetic Spectrum
In this electromagnetic spectrum worksheet, students review all regions of the spectrum in order from longest to shortest wavelength. Students list all possible values for specific quantum numbers. This worksheet has 20 problems to solve.
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Chemistry 301
In this chemistry 301 instructional activity, students answer questions as it relates to the electron configuration of given elements. Students use the periodic table to assist in their interpretation of the questions provided.
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How Things Fly
Students explain basic principles of aeronautics such as gravity and lift. In this How Things Fly lesson, students visit the interactive, hands-on How Things Fly gallery at the Smithsonian. Students perform three experiments that...
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