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Circular Convolution
In this circular convolution worksheet, students solve and complete 6 different problems related to determining the circular convolution. First, they plot a point and describe its effect of convolution with high and low frequencies....
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Convolution
In this circular convolutions worksheet, students solve 8 different problems that are related to circular convolutions. They let g be defined by an arbitrary vector and determine the formula for 8 samples for f and g. Then, students find...
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Cramer's Rule
In this Cramer's Rule worksheet, students first evaluate five determinants or square matrix. Then they solve the last five problems by applying Cramer's Rule. Students identify and define Cramer's Rule as a theorem used with linear...
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Graphing
In this graphing worksheet, students sketch graphs of given polynomial equations. They draw line graphs to show sign changes in specified forms. This one-page worksheet contains ten problems. Answers are provided at the bottom of the...
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Limits and Continuity
In this limit worksheet, student evaluate functions and determine the continuous limits. This one-page worksheet contains three multi-step problems.
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Problem of the Day: Poison Game
For this problem of the day worksheet, learners explain properties to determine the outcome of a described game. This one-page worksheet contains one problem.
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Triangular Numbers
In this triangular numbers worksheet, students create a table of triangular numbers, write a formula for the nth number, and determine the sum of any two consecutive triangular numbers. This two-page worksheet contains five problems.
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Challenge Sheet 3: Average Value of a Function
In this average value worksheet, students determine the average value of functions, sketch graphs of continuous intervals, evaluate integrals, find the average value of a function and convert limits to a definite integral. This one-page...
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Applications of Modular Arithmetic
In this modular arithmetic activity, students use modular ten arithmetic to create Universal Product Code. This two-page activity contains seven problems.
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Quiz 1: Sums
In this sums worksheet, students evaluate sums. They use the limit definition of the definite integral to evaluate a function. This two-page worksheet contains four multi-step problems.
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Discussion Sheet 8: Area
In this area worksheet, learners use integration to derive the equation for the area and volume of given three-dimensional figures. They determine the area of regions inside graphs, and evaluate integrals. This one-page worksheet...
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Discussion Sheet 9: Volume and Area
In this volume and area worksheet, students find the volume and area of three-dimensional figures. They consider regions bounded by graphs, use integration to derive a formula, and use the disc and shell methods for volume. This...
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Instantaneous Velocity
In this velocity worksheet, students determine the average and instantaneous velocity. They compute the derivative of given functions. This one-page worksheet contains seven multi-step problems.
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Questions over Chapter 12: Calculus and Analytic Geometry
In this calculus question worksheet, students read calculus questions by their peers. The students attempt to teach each other by answering the written questions. Questions cover limits, test for convergence, approximation, interval of...
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Worksheet 1: Fibonacci Numbers
In this Fibonacci worksheet, students prove by induction the Fibonacci numbers are recursive. They find a recursive definition for a given set of numbers. This two-page worksheet contains five multi-step problems that involve proofs.
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Summary Worksheet: Sequences
In this sequence worksheet, students determine whether the sequence is convergent or divergent. They find the limit of a given sequence, and solve distance problems. Students explore partial sums of an infinite series and use the...
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Extra Problem for Homework 5: Manifold
In this manifold worksheet, students explore the fundamental group in a given manifold that contains two subgroups. They construct an explicit covering map. This one-page worksheet contains one multi-step problem.
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Add Rational Expressions
In this rational expression worksheet, students add, subtract and write rational numbers in their lowest terms. This two-page worksheet contains five problems.
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Geometry of Circles - Week 7 (Area & Circumference)
In this circle worksheet, students solve problems involving the circumference, area and arc length in a circle. They explore the union of circles and semicircles, as well as the line segments tangent to the circle. This two-page...
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Using the TI-83 to Evaluate Sequences
In this evaluating sequences worksheet, students use the TI-83 graphing calculator to evaluate sequences. Instructions on how to use the calculator with these type of problems is provided. There are three problems on this one-page...
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Discussion Sheet 10: Convergence
In this convergence activity, students compute improper integrals. They use the comparison test or the absolute convergence test to prove convergence. Students find the area of a region bounded by graphs. This one-page activity...
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Linear Functions
In this linear functions worksheet, students problem solve and calculate the answers to five linear equations associated with volume, point-slope forms, initial value forms and slope-intercept forms.
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Rate Equation
For this rate equation worksheet, students use Euler's method to estimate the value of rate equations. They use the piecewise linear function approximation to determine the solution of an initial value problem. This two-page worksheet...
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Volume of 3-D Figures
In this volume worksheet, students compute the volume of 3-D figures bounded by graphs. They identify a solid formed by rotation about a given line. Students use the Disc Method and the Shell Method to make their computations. This...