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Reviewing the First Unit
In this linear function worksheet, students explain how the linear function relates to direct proportionality. They answer questions dealing with slope fields, rate equations and illustrate Euler's Method. After answering six...
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Higher Order Taylor Polynomials
In this polynomial learning exercise, students approximate values of linearly using the tangent line. They use first and second-degree polynomials to find the equation of a line tangent to a graph. Students explore Taylor's Theorem. ...
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Frieze Patterns
In this frieze pattern worksheet, students draw frieze patterns that can be constructed from a given motif. They perform translations, glide reflections, horizontal and vertical reflections and 180 degree rotations. This one-page...
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Worksheet 14: Condorcet Method
In this Condorcet Method worksheet, students use the Condorcet and Borda Methods to determine the results of given election data. This two-page worksheet contains four multi-step problems.
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Worksheet 15: Sequential & Hare Methods
In this Sequential and Hare Method worksheet, students determine the results of elections from given sets of information. They use either the Sequential or Hare Method to determine the outcome. Students justify their answers. This...
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Multivariable Calculus: Implicit Differentiation
For this implicit differentiation worksheet, students compute the determinant of the Jacobian matrix and solve equations by implicit differentiation. This two-page worksheet contains definitions, examples, and explanations. It contains...
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Multivariable Calculus: Limits of Multivariable Functions
In this multivariable function worksheet, students find the limits of a function, identify the domain, and explore continuous functions. This two page worksheet contains explanations, definitions, and examples. There are approximately...
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Linear Systems: Eigenvalues and Eigenvectors
In this "Eigenvalues and Eigenvectors" worksheet, students find the eigenvalue of a matrix and explore the properties of eigenvalues with a matrix. This two page worksheet contains two multi-step problems.
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Linear Systems: Vector Spaces and Subspaces
For this vector space worksheet, learners find the column space of given matrices, the identify the vector space and determine if the matrix is invertible. This four-page worksheet contains approximately six multi-step problems.
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Riemann Sums and Error Control
In this Riemann sums worksheet, students use the Riemann sums to approximate a given area. This two-page worksheet contains two multi-step problems.
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Properties of Definite Integrals
In this definite integral worksheet, students evaluate the properties of definite integrals. Students graph their answers. This two-page worksheet contains two multi-step problems.
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Applying the Fundamental Theorem of Calculus
In this fundamental theorem activity, students identify the anti-derivative and write equations as an explicit function. This two-page activity contains two multi-step problems.
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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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Complex Analysis: Transformations
In this transformation worksheet, students find the linear transformation of equations and use the Mobius transformation to identify image boundaries. Students describe the images in each quadrant. This two page worksheet contains six...
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Complex Analysis: Polar Form
In this polar form worksheet, students write complex numbers in polar form. They draw an Argand diagram containing vectors and draw sketches representing in a coordinate plane. This two-page worksheet contains thirteen multi-step...
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Complex Analysis: Polar & Exponential Forms
In this polar and exponential form worksheet, students use Euler's Formula to write complex numbers in exponential form. They write numbers in rectangular form. This two-page worksheet contains seven multi-step problems.
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Complex Analysis: Logarithms
In this logarithms worksheet, students compute logarithms and investigate the analyticity of the log. This four page worksheet contains approximately five multi-step problems. Examples and explanations are provided throughout the worksheet.
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Evaluating Definite Integrals Using Accumulation
In this integral worksheet, students sketch functions and use their graph to evaluate functions. This two-page worksheet contains four multi-step problems.
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Basic Calculus II: Fundamental Theorem of Calculus
In this fundamental theorem worksheet, students find the antiderivative of a function. This two page worksheet contains five multi-step problems.
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Simpson's Rule
In this integral worksheet, students use the Simpsons's Rule for evaluating integrals. They use different methods to calculate integrals and compare the results. This eight-page worksheet contains approximately 16 multi-step problems.
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Convergence Tests for Infinite Series
In this convergence worksheet, students explore different tests for convergence of an infinite series of numbers. This six-page worksheet contains twelve multi-step problems.
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Introduction to Taylor Series
In this Taylor Series activity, students explore functions with an infinite series. They complete an integral of convergence and explore the degree of the polynomials. This four-page activity contains four multi-step problems.
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Qualitative Analysis of the S-I-R Model
In this qualitative analysis worksheet, students explore the S-I-R model of determining given values of a function. They determine the maximum, minimum values and the slope. students write a rate equation for given information. This...
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Taylor's Theorem
In this Taylor's Theorem worksheet, students use the microscope approximation to determine the approximate value of a function. They rewrite expressions for the relative error, and observe changes in the relative error. They use...