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Graphing Accumulation Functions

For Students Higher Ed
In this accumulation function worksheet, students find the graphical relationship between two functions. They describe the relationships between the graphs of a function when accumulation begins at 0 and at 2.
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Practice with Euler's Method

For Students Higher Ed
In 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.
Worksheet
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Linear Functions and Piecewise Linear Functions

For Students 12th - Higher Ed
An activity that could function as a review or as a quiz, this instructional activity prompts students to find two different linear functions that satisfy the given equation. Students sketch the graph of two linear equations. They...
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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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Complex Analysis: Harmonic Functions

For Students Higher Ed
In this harmonic function learning exercise, students explore harmonic functions and construct a harmonic conjugate. This three-page learning exercise contains three problems, with explanations and examples.
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Linear Systems: Independence, Basis and Dimension

For Students 12th - Higher Ed
In this basis and dimension worksheet, students explore vector spaces associated with rectangular matrices. The two-page worksheet contains approximately 20 short answer questions.
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Linear Systems: Identifying Pivots and Multipliers

For Students Higher Ed
In this pivot worksheet, students explore the elimination process, and write a matrix in upper triangular form. They identify equivalent systems. This four-page worksheet contains examples, explanations, and approximately ten 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.
Organizer
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Where are the Electrons?

For Students 10th - Higher Ed
In this electrons worksheet, students complete a graphic organizer to show the pattern of the principal energy levels, number of orbitals, and electrons in each sublevel of atoms.
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Numerical Analysis

For Students Higher Ed
In this numerical analysis worksheet, students plot functions, predict the number of iterations, and identify the convergence criteria of the function. This two-page worksheet contains eight 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: Applications of Determinants

For Students 12th - Higher Ed
In this determinant worksheet, learners explore determinants, area and volume. This two-page worksheet contains explanations and examples. It provides two problems for students to solve.
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Linear Systems: General Solutions

For Students 11th - Higher Ed
In this linear system worksheet, students explore the characteristics of given matrices. They multiply matrices and determine pivots and multiply solutions. This four-page worksheet contains approximately seven problems.
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Linear Systems: The Inverse Matrix

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

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

For Students Higher Ed
In this implicit differentiation worksheet, students solve problems using the chain rule and implicit differentiation. They explain the differences between the chain rule and the implicit differentiation. This two-page worksheet...
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Euler's Method

For Students Higher Ed
In this Euler's method worksheet, students use Euler's method to determine one-second time intervals in a rate problem. They explore functions to estimate rate changes in small time intervals. This two-page worksheet contains...
Worksheet
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Average Velocity, Instantaneous Velocity, and Slope

For Students Higher Ed
For this velocity worksheet, students determine the average velocity for given situations. They graph the distance traveled, and compute velocity at time intervals. This two-page worksheet contains eleven problems.
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Average and Instantaneous Velocity

For Students Higher Ed
For this velocity worksheet, students determine the average velocity for a trip, graph the distance traveled as a function of time, estimate the slope and identify the instantaneous rate of change of the function. This two-page...
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Numerical Analysis: Piecewise Polynomial Interpolation

For Students Higher Ed
In this interpolation activity, students use a linear interpolating polynomial and then describe the extrapolated value of the function. This four-page activity contains ten problems.
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Numerical Analysis: Solving Systems Of Non-Linear Equations

For Students Higher Ed
In 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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Numerical Analysis: Sequence

For Students 12th - Higher Ed
In this sequence instructional activity, 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 instructional activity contains...
Worksheet
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Linear Systems: Matrix Operations

For Students Higher Ed
In this matrix operations worksheet, students perform matrix addition and multiplication. This two-page worksheet contains six problems. Definitions, examples and explanations are also provided.