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The Nullspace of a Matrix

For Students 11th - Higher Ed
In this math instructional activity, students read the definition for the nullspace of a matrix. The definition is used to find the solutions to new problems.
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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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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.
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Elimination: Using Matrix Operations

For Students 11th - Higher Ed
In this math worksheet, students practice using a matrix with the method of elimination to find the solutions. They practice using matrix multiplication.
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More On Accumulation Functions

For Students 11th - Higher Ed
In this math activity, students investigate using the accumulation method to solve for the functions. They also review using Riemann Sums.
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Taylor Polynomials, Minima, Maxima and Inflection Points

For Students 12th - Higher Ed
In this Taylor polynomial worksheet, students answer 3 problems regarding quadratic polynomials, 2nd degree Taylor polynomials, and cubic polynomials.
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Limits, Continuity and Differentiability

For Students Higher Ed
In this limit worksheet, students answer true or false statements concerning functions, limits and differentiability. They evaluate limits and explore rules for working with limits and continuity. This worksheet contains three...
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The Chain Rule and Applications

For Students Higher Ed
In this chain rule worksheet, students use the chain rule to differentiate compositions, and determine the value of the limits. They give reasons justifying each step of the chain theorem. This six-page worksheet contains theorems,...
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Complex Analysis: Linear Fractional Transformations

For Students Higher Ed
In this transformation worksheet, students explore linear transformations and mappings. They map equations on a coordinate plane. This two-page worksheet contains approximately three problems.
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The Column Space of a Matrix

For Students 11th - Higher Ed
In this math worksheet, learners find the answers to the problems that are related to using a matrix. They group the numerical values with the matrix.
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General Solution to Ax=b

For Students 11th - Higher Ed
In this math instructional activity, students practice finding the vector spaces associated with the rectangular matrices. Then they find the complete solutions to the given equation using a matrix.
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Linear Systems: Methods of Computing Determinants

For Students Higher Ed
In this determinant activity, students explore the properties of the determinant. They compute determinants by using the co-factor method, the "big formula" and the product of pivots. This two-page activity contains explanations,...
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Trigonometric Examples of Integration by Substitution

For Students Higher Ed
In this integration worksheet, students use trigonometric identity and integration by substitution to solve given integrals. This two-page worksheet contains three problems.
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Limits at Infinity and Horizontal Asymptotes

For Students Higher Ed
For this limits worksheet, students sketch the graph of a function. They complete three fill in the blank questions. Students solve fifteen limits problems. They use L'Hopital's Rule to solve four problems. Students find the vertical...
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Mathematical Modeling and constant Rate Equations

For Students Higher Ed
In this rates worksheet, students solve five story (word) problems related to rate and time. In two of the problems students are directed to create a graph of the problem.
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Reviewing the First Unit

For Students Higher Ed
In this linear function instructional 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...
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The Derivative

For Students Higher Ed
In this derivative worksheet, students estimate the derivative of given functions, compute the rate of change at a given point, and simplify the difference quotient. This two-page worksheet contains definitions, examples, and five...
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The Product and Quotient Rules

For Students Higher Ed
In this produce and quotient rule worksheet, students identify the values of given limits. They justify given proofs and explore the derivative of the sine and tangent functions. This three-page worksheet contains explanations,...
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Linear Systems: The Nullspace Matrix and Rank

For Students Higher Ed
In this nullspace worksheet, students identify the rank and nullspace in a matrix. They compare the nullspace and column space of given matrices. This two-page worksheet contains examples, explanations and five problems.
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Linear Systems; Permutations and Transposes

For Students Higher Ed
In this permutations worksheet, students explore a permutation matrix, symmetric matrix, and the properties of the transpose. This three-page worksheet contains six problems.
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Linear Systems: Diagonalizing a Matrix

For Students Higher Ed
In this diagonalizing a matrix activity, students explore matrix factorization and use diagonal decomposition. This two-page activity contains examples, explanations and four practice problems.
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Linear Systems and Reviewing for Exam 2

For Students 11th - Higher Ed
In this math worksheet, students practice reviewing the different method to find the inverse for a matrix. They compute the determinant of a matrix.
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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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Learning the Anti-differentiation Process

For Students 11th - Higher Ed
In this math worksheet, students examine the data table and attempt to fill in the empty boxes for the functions. They are asked to list the pattern found there.

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