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Linear Systems

For Students Higher Ed
In this linear systems worksheet, students explore the effect of two identical columns in a matrix on the null space of the matrix. They consider the column space of a matrix. Students compare the column space of a matrix to the column...
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Numerical Analysis: Systems of Linear Equations

For Students Higher Ed
In this linear equation worksheet, students use the iterative method to solve systems of equations. Explanations and examples are provided. This four-page worksheet contains approximately three problems.
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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: 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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Practice with Euler's Method

For Students Higher Ed
For this Euler's Method worksheet, students determine the rate of change in given functions They use Euler's Method to approximate the solution of an equation. This two-page worksheet contains approximately twenty 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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Errors in Riemann Sums

For Students Higher Ed
In this Riemann Sums learning exercise, students use the Riemann Sums method to approximate the area under the curves. This two-page learning exercise contains three problems.
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Numerical Analysis: Introduction to Root Finding

For Students Higher Ed
In this introduction to root finding instructional activity, students write equations to solve distance problems. They explore the bisection method of Bolzano. This four-page instructional activity contains approximately ten problems.
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Numerical Analysis: Solving Systems Of Non-Linear Equations

For Students Higher Ed
For this numerical analysis worksheet, students solve systems of non-linear equations. Examples and explanation are provided. This two-page worksheet contains approximately three problems.
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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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Complex Analysis: Polynomial Equations

For Students Higher Ed
In 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: Matrix Inverse

For Students 11th - Higher Ed
In this linear systems worksheet students multiply matrices and find the coefficient matrix in the upper-triangular form. This four-page worksheet contains approximately four problems, with examples and explanations.
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Linear Systems: Other Methods of Computing Determinants

For Students 12th - Higher Ed
In this computing determinants worksheet, students explore methods of computing determinants. They complete determinant problems by using the co-factor method, the "big formula" and the use of product of the pivots. This two-page...
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Linear Systems: General Solutions

For Students 11th - Higher Ed
In this linear system activity, students explore the characteristics of given matrices. They multiply matrices and determine pivots and multiply solutions. This four-page activity contains approximately seven problems.
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American Revolution Worksheet

For Students 5th - 7th
In this American Revolution worksheet, learners complete a nine multiple choice question quiz based on facts of the Revolutionary War.
Lesson Plan
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The Name Jar

For Teachers 3rd - 5th
Students participate in a instructional activity that focuses on the literature of Korea. "The Name Jar" is read by students to practice some essential reading skills. This would include the recognition of sequence in a story,...
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Numerical Analysis: Using the QR Algorithm

For Students Higher Ed
In this QR algorithm activity, students use the QR algorithm to solve an over-determined system of equations. This two-page activity contains 11 problems.
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Numerical Analysis: Sequence

For Students 12th - Higher Ed
For this sequence worksheet, students explore the convergence of a sequence and the rate of a sequence. They explore problems and identify the order of convergence. This three-page worksheet contains approximately six problems. ...
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Linear Systems: Orthogonality of Vector Spaces of a Matrix

For Students 12th - Higher Ed
In this vector spaces of a matrix instructional activity, students decompose any vector into two orthogonal pieces. They identify the nullspace, row space, and find a reduced echelon. This two-page instructional activity contains...
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Epidemic or False Alert?

For Students Higher Ed
In this rate worksheet, 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 worksheet contains...
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Reviewing the First Unit

For Students Higher Ed
In this linear function activity, 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 discussion...
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MT-A141 PreCalculus: Worksheet 6.1

For Students 10th - 11th
For this precalculus worksheet, students complete a table of common angle equivalences and compare them to radians. Using their calculator they examine the difference between angles in degrees and the answer in radians. Students...
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Numerical Analysis: Worksheet 12: Comparing Root-Finding Methods

For Students Higher Ed
In this root-finding worksheet, students rank numbers in asymptotic order. They identify and discuss the roots of the original function. This four-page worksheet contains approximately 10 problems.
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Numerical Analysis: Polynomial Interpolation

For Students Higher Ed
For 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.