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Linear Systems: Orthogonal Matrices

For Students 11th - Higher Ed
In this orthogonal matrices activity, students explore characteristics of an orthogonal matrix. They use Gram-Schmidt to convert linearly independent vectors to orthonormal vectors. This three-page activity contains approximately six...
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Linear Systems: Projections

For Students 11th - Higher Ed
For this projection worksheet, students determine the projections of a given matrix. This four-page worksheet contains explanations and examples and approximately ten problems to complete.
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Number Sense Worksheet

For Students 5th - 8th
In this number sense worksheet, students find numbers that are between fractions, complete subtraction problems, complete multiplication problems and more. Students complete 6 problems.
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Numerical Analysis: Polynomial Interpolation

For Students Higher Ed
In this polynomial worksheet, students find interpolating functions that can be expressed as a linear combination of basis functions. This four-page worksheet contains five multi-step problems.
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Numerical Analysis: Polynomials

For Students Higher Ed
In this polynomial worksheet, students explore functions, determine the least square error, and explore quadratic spline interpolation. This two-page worksheet contains approximately six problems.
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Numerical Analysis: Machine Representation of Numbers

For Students 9th - 12th
In this machine representation of a number instructional activity, students explore definitions such as floating-point, round-off error, binary representation of a number, mantissa, and sign bit. They identify significant digits and...
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Complex Analysis: Complex Functions

For Students Higher Ed
In this complex function worksheet, students examine the properties of integrals of complex functions of a real variable, smooth arcs, and the Jordan Curve Theorem. This two-page worksheet contains approximately seven equations.
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Complex Analysis: Function

For Students Higher Ed
In this function worksheet, students evaluate problems involving functions, identify the domain and range of functions, and complete inversion mapping. This two-page worksheet contains approximately twelve problems.
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Complex Analysis: Homework Set 5: Domain

For Students Higher Ed
In this domain worksheet, students determine the domain of analyticity for given functions. This one-page worksheet contains five multi-step equations.
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Complex Analysis: Functions of Complex Variables

For Students Higher Ed
In this function worksheet, students map equations and identify three dominant characteristics. They evaluate functions of complex variables. This three-page worksheet contains approximately ten problems.
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Complex Analysis: Complex Exponents

For Students Higher Ed
In this complex exponents worksheet, students determine the domain of analyticity of a function. This six-page worksheet contains ten problems.
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Quiz 8: Multivariable Calculus

For Students Higher Ed
Students list all equations needed to solve a three variable equation using the Method of Lagrange, after first signing an honor pledge to promise that they have followed the rules on the first page. They solve each equation, telling the...
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Shoelace Algorithm

For Students Higher Ed
In this shoelace algorithm worksheet, students determine the area of a triangle when given the coordinates of the vertices. They determine the area of a quadrilateral. Students find the average of the x and y coordinates.
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Systems of Equations - Week 6

For Teachers 12th - Higher Ed
In this systems of equations worksheet, young scholars solve systems of equations simultaneously. They read story problems, write systems of equations. This two-page worksheet contains eight problems.
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Worksheet 18: Combinations & Permutations

For Students 9th - 12th
In this combinations and permutations worksheet, high schoolers list the number of combinations from a given set. They describe and justify the permutations and combinations. This two-page worksheet contains four problems.
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Worksheet 15: Sequential & Hare Methods

For Students 10th - 12th
In this Sequential and Hare Method learning exercise, 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. ...
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What is Less? 1-10 Subtraction Worksheet

For Students 1st - 2nd
In this subtraction worksheet, students count the items that are pictured and count backward by the amount indicated in each problem. They complete 7 problems by answering the question, "What is __ less?"
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Solving, Writing, and Graphing Linear Inequalities

For Teachers 8th - 10th
In this linear inequalities worksheet, students solve inequalities, write inequalities in interval notation, and graph inequalities.  Students also solve four word problems by writing and solving linear inequalities.
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The Number "e"

For Teachers Higher Ed
In this college level mathematics worksheet, students explore the number e and graph functions involving e. The two page worksheet contains thirty-two problems. Answers are included.
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Power and Maclaurin Series

For Students 11th - 12th
In this calculus worksheet, students solve 4 problems by finding the Power and Maclaurin series for different terms. They take the derivative and simplify functions.
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Applications of Definite Integrals

For Students Higher Ed
In this definite integral learning exercise, students explore different types of integrals and determine the length of a curve. This one-page learning exercise contains eight multi-step problems.
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Stability of Equilibrium Values

For Students Higher Ed
In this stability of equilibrium values worksheet, students explore equilibrium solutions and classify them as asymptotically stable or not asymptotically stable. They justify their reasoning. This four-page worksheet contains five...
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Implicit Differentiation

For Students Higher Ed
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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Linear Functions

For Students 10th - 12th
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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