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Complex Analysis: Linear Fractional Transformations
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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Complex Analysis: Functions of Complex Variables
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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Multivariable Calculus: Implicit Differentiation
In this implicit differentiation learning exercise, students compute the determinant of the Jacobian matrix and solve equations by implicit differentiation. This two-page learning exercise contains definitions, examples, and...
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Linear Systems: Eigenvalues and Eigenvectors
In this "Eigenvalues and Eigenvectors" worksheet, students find the eigenvalue of a matrix and explore the properties of eigenvalues with a matrix. This two page worksheet contains two multi-step problems.
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Linear Systems: Geometric Interpretation of Eigenvalues
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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Linear Systems: Applications of Linear Algebra to Differential Equations
In this differential equations activity, students solve systems of simultaneous differential equations using linear algebra. This six-page activity 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
For 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
In 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, 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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Projections of a Vector Onto a Subspace
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: 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
In 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 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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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 activity, 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 activity...
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Review of Limits
In this limit instructional activity, 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...
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