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Examples of Integral Exchange Using Substitution

For Students 11th - Higher Ed
In this math worksheet, students find the solutions to the problems using the operation of substitution. Then they pay attention to relating this while further evaluating integrals.
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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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Diagonalizing a Matrix

For Students 11th - Higher Ed
In this math worksheet, students find the answers to the problems that focus upon the concept of diagonalizing a matrix. They also find the probability matrix.
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Lengths and Dot Sequences

For Students 11th - Higher Ed
In this math learning exercise, students examine the process of multiplying vectors to find their products. They practice finding the geometric and algebraic views for the solutions.
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Rate Equations: Equilibrium and Inflection Values

For Students 12th - Higher Ed
In this rate equation, students are given 7 short-answer problems regarding functions, maximum and minimum values, equilibrium values, and inflection values.
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Average and Instantaneous Velocity

For Students Higher Ed
In 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 worksheet...
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Linear Systems: The Reduced Row Echelon Matrix

For Students Higher Ed
In this echelon matrix, students identify the nullspace of a matrix by finding the reduced row echelon matrix. This two-page activity contains explanations, examples and six problems.
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Accumulation Functions and Definite Integrals

For Students Higher Ed
In this accumulation functions worksheet, students write expressions that involve the definite integral of a given function. They use a graph to find given values of areas of the line. Students follow guiding questions to determine the...
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Linear Systems: Fundamental Theorem of Linear Algebra

For Students 11th - Higher Ed
In this linear algebra worksheet, learners complete matrix multiplication. They find the row space and nullspace of given matrices. This two-page worksheet contains examples, explanations, and approximately four problems to complete.
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Linear Systems Review for Exam 1

For Students 11th - Higher Ed
In this math instructional activity, students practice reviewing for the exam that focuses upon the concept of linear systems. They draw a concept map for the review topics listed.
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Finding Roots and Newton's Method

For Students Higher Ed
In this roots worksheet, students identify the local maxima and minima for a function. Students find the roots of the function using roots and Newton's Method of approximation. This three-page worksheet contains examples, explanations...
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Some Elementary Derivative Formulas and Rules

For Students Higher Ed
In this derivative formula learning exercise, students solve problems concerning the derivative of constant functions and linear functions. They explore the derivative of the cosine and sums and differences functions. This six-page...
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Linear Systems

For Students 11th - Higher Ed
For this multiplication of vectors worksheet, students prove that the dot product operation is commutative. They normalize a vector so it has the same direction with a magnitude of one. Students use the angle formula to confirm...
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Applying Linear Algebra to Differential Equations

For Students 11th - Higher Ed
In this math activity, students using linear algebra to find the solutions to the differential equations. The equations are listed in systems.
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Projections of a Vector Onto a Subspace

For Students 11th - Higher Ed
In this math activity, learners practice reading the examples of a vector onto a subspace. They also examine the projection matrix.
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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: 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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Geometric Interpretations of Eigenvalues and Eigenvectors

For Students 11th - Higher Ed
In this math learning exercise, students practice finding the Eigenvalues and Eigenvectors. They find the special factors of the given matrices.
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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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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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The Fundamental Theorem and IVP's

For Students 11th - Higher Ed
In this math learning exercise, students practice solving the problems concerning the concept of energy consumption. They also review the Fundamental Theorem of Calculus.
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Integration By Parts

For Students 11th - Higher Ed
in this math worksheet, students read the example for the product rule. Then they apply the rule individually or in groups to the following integrals.
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Applications of Derivatives: Finding Maxima and Minima

For Students Higher Ed
In this derivative worksheet, students use the second derivative test to determine the maxima and minima of given functions. They explore real life problems to complete the optimization of a problem. This two-page worksheet contains...
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Lowell Observatory Moon Clock

For Teachers 5th - 8th
Students construct a paper moon clock to determine the moon's position. In this lunar position lesson, students use the provided printout to create a moon clock. They use the clock to determine the moon's position in the sky based on its...

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