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Linear Systems: Matrix Operations

For Students Higher Ed
In this matrix operations worksheet, students find the dot product of matrices. They use the elimination method to solve linear equations. This two-page worksheet contains explanations, examples and three problems.
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Comparing Improper Integrals

For Students 11th - Higher Ed
In this math worksheet, students compare the improper integrals. They determine if each integral converges or diverges. The improper integral test is read and applied.
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Introduction to Accumulation

For Students 11th - Higher Ed
In this math worksheet, students work in groups to estimate the area of the ellipses using the grids. Then they estimate the arclengths of the ellipses.
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Properties of the Definite Integrals

For Students 11th - Higher Ed
In this math instructional activity, students investigate the properties of definite integrals. Then they apply the properties and compare sets of two integrals to each other.
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Complex Analysis: Harmonic Functions

For Students Higher Ed
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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Complex Analysis: Polynomial Equations

For Students Higher Ed
For this polynomial equation worksheet, students explore real fractional powers of complex numbers. This three-page worksheet contains examples, explanations and approximately seven problems.
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Linear Systems: Orthogonality of Subspaces

For Students Higher Ed
In this subspace worksheet, students decompose a vector into two orthogonal pieces, one for the nullspace and another for the row space of a matrix. This two-page worksheet contains explanations, examples, and three problems.
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Linear Systems; Permutations and Transposes

For Students Higher Ed
In this permutations worksheet, students explore a permutation matrix, symmetric matrix, and the properties of the transpose. This three-page worksheet contains six problems.
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Linear Systems: Gauss-Jordan Elimination

For Students Higher Ed
In this Gauss-Jordan worksheet, students use the Gauss-Jordan method to find an identify matrix. This two-page worksheet provides examples, explanations and two practice problems.
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Linear Systems: The Inverse Matrix

For Students Higher Ed
In this inverse matrix worksheet, students find the product of matrices. They generate an inverse matrix using the Gauss-Jordan elimination method. This two-page worksheet contains explanations, examples and two practice problems.
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Errors in Riemann Sums

For Students Higher Ed
In this Riemann Sums worksheet, students use the Riemann Sums method to approximate the area under the curves. This two-page worksheet contains three problems.
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Numerical Integration

For Students 11th - Higher Ed
In this math activity, students practice using the number approximations to apply them to the integrations. They compare the numerical methods and graph the results in the data table.
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Infinite Series

For Students 11th - Higher Ed
In this math worksheet, students examine the infinite series. They determine if it diverges or converges. Example 2 and 3 is group work to apply the tests for convergence or divergence.
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Introduction to Substitution

For Students 11th - Higher Ed
in this math learning exercise, students practice using the process of substitution for the integrals and derivatives. Then they identify the composite function.
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Math 155 - Fall 2005 Differentiation

For Students Higher Ed
In this differentiation worksheet, students find an equation of a line tangent to a curve. They use linear approximation to estimate answers. This two-page worksheet contains approximately 12 multi-step problems.
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Linear Systems: Fundamental Theorem

For Students Higher Ed
In this fundamental theorem worksheet, students show matrix multiplication, identify the vector in the nullspace and interpret equations. This two-page worksheet contains examples, explanations and three problems.
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Linear Systems: Eigenvalues and Eigenvectors

For Students Higher Ed
In this eigenvalues worksheet, students find the eigenvalues and eigenvectors of a given matrix. This two-page worksheet contains examples, explanations and two practice problems.
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Linear Systems and Reviewing for Exam 2

For Students 11th - Higher Ed
In this math worksheet, students practice reviewing the different method to find the inverse for a matrix. They compute the determinant of a matrix.
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Linear Systems: Elimination

For Students Higher Ed
In this elimination worksheet, students use the elimination process to transform a system into an equivalent form. This three-page worksheet contains three practice problems as well as examples and explanations.
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Linear Systems/ LU Decomposition

For Students 11th - Higher Ed
In this math instructional activity, learners find the values by factoring a matrix A into the product of a lower triangular matrix L. They also make it into an upper matrix U.
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Mass/Mass Problems

For Students 10th - 12th
In this mass worksheet, students calculate how much of any product will form from a given amount of reactant. This worksheet has 7 problems to solve.
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Numerical Analysis/ Other Root-finding Methods

For Students 11th - Higher Ed
In this math worksheet, students examine the uses of false position, Newton’s and Secant methods of finding the root of an equation.
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Complex Analysis: Linear Fractional Transformations

For Students Higher Ed
In this transformation worksheet, students explore linear transformations and mappings. They map equations on a coordinate plane. This two-page worksheet contains approximately three problems.
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Complex Analysis: Functions of Complex Variables

For Students Higher Ed
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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