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Worksheet
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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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Worksheet
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Linear Systems: Geometric Interpretation of Eigenvalues

For Students 12th - Higher Ed
In this geometric interpretation worksheet, students prove the exponentiation of a matrix and the Eigenvalues of an inverse. This two-page worksheet contains explanations, examples, theorems and two problems for students to solve.
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Worksheet
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Linear Systems: Fundamental Theorem of Linear Algebra

For Students 11th - Higher Ed
In this linear algebra activity, students complete matrix multiplication. They find the row space and nullspace of given matrices. This two-page activity contains examples, explanations, and approximately four problems to complete.
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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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Worksheet
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Numerical Analysis: Discrete Least Squares

For Students Higher Ed
In this discrete least squares worksheet, students use a linear algebra approach to discrete last squares approximation. This two-page worksheet contains approximately 10 problems.
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Linear Systems: Definition of the Nullspace

For Students 11th - Higher Ed
In this nullspace worksheet, students find the nullspace of matrices, write a rectangular matrix upper-triangular form, and convert augmented matrix to echelon form. This six-page worksheet contains approximately 8 problems.
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Investigating Force, Acceleration and Velocity

For Students 10th - Higher Ed
In this Investigating force, acceleration and velocity worksheet, students read story problems involving constant velocity and acceleration, create a diagram of the problem, and consider the forces acting upon the item discussed. They...
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Numerical Analysis: Successive Over-Relaxation for Linear Systems

For Students Higher Ed
In this successive linear systems worksheet, 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 worksheet contains...
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Multivariable Calculus: Limits of Multivariable Functions

For Students Higher Ed
In this multivariable function worksheet, students find the limits of a function, identify the domain, and explore continuous functions. This two page worksheet contains explanations, definitions, and examples. There are approximately...
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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.
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Worksheet
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Linear Systems: Applications of Determinants

For Students 12th - Higher Ed
In this determinant worksheet, students 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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Worksheet
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Linear Systems: General Solutions

For Students 11th - Higher Ed
For this linear system worksheet, learners 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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Airline Passenger

For Students 8th - 11th
For this distance, speed, and time worksheet, students determine the effect of wind on the time of a flight.  The students answer five questions to help them come to a conclusion regarding the airplanes travel.
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Lesson Plan
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Forces in a Climb

For Teachers 9th - 12th
High schoolers use a NASA website to use a given formula to find acceleration and distance after a specific time and how it relates to engine propulsion.
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Worksheet
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Numerical Analysis: Nonlinear Equations

For Students Higher Ed
In this nonlinear equations learning exercise, students use iterative methods for solving systems of nonlinear equations. This four-page learning exercise contains eight multi-step problems.
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Worksheet
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Numerical Analysis: Using the QR Algorithm

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

For Students Higher Ed
In this polynomial activity, students explore functions, determine the least square error, and explore quadratic spline interpolation. This two-page activity contains approximately six problems.
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Complex Analysis: Linear Transformations

For Students Higher Ed
In this linear transformation worksheet, students find a series of linear transformations and sketch them. This four-page worksheet contains approximately six problems.
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Worksheet
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Complex Analysis: Linear Transformations, Inversion Mappings

For Students Higher Ed
In this transformation learning exercise, students identify a series of transformations and sketch them. They use inversion mapping to establish a one-to-one correspondence between nonzero points. This four-page learning exercise...
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Worksheet
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Complex Analysis: Function

For Students Higher Ed
For 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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Worksheet
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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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Worksheet
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Multivariable calculus: Partial Derivatives

For Students 11th - Higher Ed
In this partial derivative worksheet, learners 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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Worksheet
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Linear Systems: Using Matrix Operations

For Students 12th - Higher Ed
In this linear systems worksheet, learners use matrix multiplication as an elimination technique to solve linear systems. They compare products and explore trends. This four-page worksheet contains explanations, examples and five...
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Worksheet
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Linear Systems: Eigenvalues and Eigenvectors

For Students 11th - Higher Ed
In this "Eigenvalues and Eigenvectors" learning exercise, students find the eigenvalue of a matrix and explore the properties of eigenvalues with a matrix. This two page learning exercise contains two multi-step problems.

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