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Numerical Analysis: Introduction to Root Finding
In this introduction to root finding activity, students write equations to solve distance problems. They explore the bisection method of Bolzano. This four-page activity contains approximately ten problems.
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Numerical Analysis: Successive Over-Relaxation for Linear Systems
In this successive linear systems activity, students use a matrix representation of iterative schemes for linear systems. They define a positive definite matrix and explore the Kahan Theorem. This two-page activity contains approximately...
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Numerical Analysis: Polynomial Interpolation
In this polynomial worksheet, students identify the interpolated and extrapolated value of given equations. This four-page worksheet contains approximately ten problems. Explanations and examples are provided.
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Complex Analysis: Functions of Complex Variables
For this complex variable worksheet, students explore the functions of a complex variable. They map complex variables and solve complex inequalities. This three-page worksheet contains fourteen problems.
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Multivariable Calculus: Implicit Differentiation
In 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: Partial Derivatives
In this partial derivative worksheet, students calculate the derivative of given problems and find the equation of the tangent plane to an equation. This two-page worksheet contains five problems.
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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: Reduced Row Echelon Matrix
In this echelon matrix worksheet, students find the nullspace of matrices by finding the reduced row echelon. This two-page worksheet contains explanations, examples and six problems to complete.
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Linear Systems: Fundamental Theorem of Linear Algebra
In this linear algebra worksheet, students complete matrix multiplication. They find the row space and nullspace of given matrices. This two-page worksheet contains examples, explanations, and approximately four problems to complete.
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Linear Systems: Nullspace Matrix and Rank
In this nullspace matrix worksheet, students observe the rank and number of independent rows and columns a matrix has. They compute the product of matrices and describe the column space of each. This two-page worksheet contains...
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Linear Systems: Least Squares Approximations
In this least squares approximation worksheet, students use linear algebra to find the least square error and the equation of a line for given points. They find the equation of a parabola through provided points. This four-page...
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Applications of Definite Integrals
In this definite integral worksheet, students explore different types of integrals and determine the length of a curve. This one-page worksheet contains eight multi-step problems.
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Examples of Integral Exchange Using Substitution
In this math worksheet, students find the solutions to the problems using the operation of substitution. Then they pay attention to relating this while further evaluating integrals.
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Integration By Parts
in this math worksheet, students read the example for the product rule. Then they apply the rule individually or in groups to the following integrals.
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Accumulation Functions and Definite Integrals
In this accumulation functions worksheet, students write expressions that involve the definite integral of a given function. They use a graph to find given values of areas of the line. Students follow guiding questions to determine the...
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Stability of Equilibrium Values
In this stability of equilibrium values instructional activity, students explore equilibrium solutions and classify them as asymptotically stable or not asymptotically stable. They justify their reasoning. This four-page instructional...
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Higher Order Taylor Polynomials
For this polynomial worksheet, 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. This...
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Recursion, Roots and Newton's Methods
In this recursion worksheet, students determine the successive approximations of square roots by using the Babylonian Algorithm. They discuss how to derive Newton's Method from the microscopic approximation. This four-page worksheet...
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Implicit Differentiation
In this implicit differentiation worksheet, students use the microscope approximation method and Euler's method to approximate values at a given point. This two-page worksheet contains five problems.
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Limits of Functions as Undefined X-Values and L'Hopital's Rule
In this limits worksheet, students apply L'Hopital's rule to solve four limits problems. They solve a total of eleven short answer problems. The final seven problems ask students to find the asymptotes of functions.
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Basic Calculus: Extrema, and Optimization: Putting it all Together
In this extrema and optimization instructional activity, students identify all points in the domain and determine the critical points. They compute the second derivative and find the global maxima and minima. This two-page...
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Epidemic or False Alert?
In this rate activity, students use the SIR model to determine if a disease is spreading at an epidemic rate. They find the slope of a curve and the slope of a line that goes through a given point. This two-page activity contains...
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Rate Equation
In this rate equation worksheet, learners 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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Some Elementary Derivative Formulas and Rules
In this derivative formula worksheet, students solve problems concerning the derivative of constant functions and linear functions. They explore the derivative of the cosine and sums and differences functions. This six-page worksheet...