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Math 53 - Midterm 1 Review
In this math worksheet, students eliminate the parameter to find a Cartesian equation of the curve given by the parametric equations.
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Worksheet 13
In this math worksheet, students write down the equation of a plane. Then they create the equation of a line. They also define the lines that are perpendicular.
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Worksheet 17 Practice Exam
In this math worksheet, students complete the practice exam that asks for the solution to the parametric equation. Also they name the perpendicular line in relation to it.
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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.
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Worksheet 34
For 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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Worksheet 33
In this math learning exercise, 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
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.
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Worksheet 37
Students 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 learning exercise, 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 worksheet, students 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 worksheet, students 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 worksheet, 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 instructional activity, 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
For this harmonic function worksheet, students summarize the theorems on analyticity, differentiability and the Cauch-Rieman equation. They identify the characteristics of a harmonic function. This three-page worksheet contains...
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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 activity, 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 activity contains eleven...
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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 activity, 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 activity contains...
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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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