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Linear Systems: Geometric Interpretation of Eigenvalues
In this geometric interpretation learning exercise, learners prove the exponentiation of a matrix and the Eigenvalues of an inverse. This two-page learning exercise contains explanations, examples, theorems and two problems for students...
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Linear Systems: Applications of Linear Algebra to Differential Equations
In this differential equations worksheet, students solve systems of simultaneous differential equations using linear algebra. This six-page worksheet contains approximately six problems, with explanations and examples.
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Linear Systems: The Column Space
In this column space worksheet, students find the column spaces of given matrices. This two-page worksheet contains examples of and explanations. One problem is provided for students to complete.
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Linear Systems: Reduced Row Echelon Matrix
In this echelon matrix worksheet, students find the nullspace of matrices by finding the reduced row echelon. This two-page worksheet contains explanations, examples and six problems to complete.
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Linear Systems: Fundamental Theorem of Linear Algebra
In this linear algebra instructional activity, students complete matrix multiplication. They find the row space and nullspace of given matrices. This two-page instructional activity contains examples, explanations, and approximately...
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Linear Systems: Nullspace Matrix and Rank
In this nullspace matrix worksheet, students observe the rank and number of independent rows and columns a matrix has. They compute the product of matrices and describe the column space of each. This two-page worksheet contains...
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Linear Systems: Least Squares Approximations
For this least squares approximation worksheet, students use linear algebra to find the least square error and the equation of a line for given points. They find the equation of a parabola through provided points. This four-page...
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Linear Systems: Linear Equations, Vectors and Matrices
In this matrices worksheet, students write matrix notation to represent linear systems. This four-page worksheet contains approximately 15 problems.
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The Column Space of a Matrix
In this math worksheet, students 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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Projections of a Vector Onto a Subspace
In this math worksheet, students practice reading the examples of a vector onto a subspace. They also examine the projection matrix.
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Linear Systems: Linear Equations, Vectors and Matrices
In this vector and matrix worksheet, students explore matrix notation to represent linear systems. They use geometric interpretations of linear systems. This three-page worksheet contains three practice problems, explanations and...
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Linear Systems Review for Exam 1
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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Elimination: Using Matrix Operations
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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Applications of Definite Integrals
For this definite integral worksheet, students explore different types of integrals and determine the length of a curve. This one-page worksheet contains eight multi-step problems.
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Learning the Anti-differentiation Process
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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Examples of Integral Exchange Using Substitution
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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Integration By Parts
in this math instructional activity, 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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Accumulation Functions and Definite Integrals
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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Recursion, Roots and Newton's Methods
In this recursion worksheet, students determine the successive approximations of square roots by using the Babylonian Algorithm. They discuss how to derive Newton's Method from the microscopic approximation. This four-page worksheet...
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Review of Limits
For this limit worksheet, students review limits stated as an expression, analyze Euler's method applied to a rate equation, compute the terms of a given sequence, and identify a sequence as a convergence or divergence. this four-page...
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Local Linearity and the Microscope Approximation
In this local linearity worksheet, students identify the slope of a line tangent to the graph at a given point. They use linear approximation to estimate values. Students determine the slope of a secant line at a given point. This...
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Limits of Functions as Undefined X-Values and L'Hopital's Rule
In this limits worksheet, students apply L'Hopital's rule to solve four limits problems. They solve a total of eleven short answer problems. The final seven problems ask students to find the asymptotes of functions.
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Basic Calculus: Extrema, and Optimization: Putting it all Together
In this extrema and optimization activity, students identify all points in the domain and determine the critical points. They compute the second derivative and find the global maxima and minima. This two-page activity contains two...
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Epidemic or False Alert?
In this rate worksheet, students use the SIR model to determine if a disease is spreading at an epidemic rate. They find the slope of a curve and the slope of a line that goes through a given point. This two-page worksheet contains...
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