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Numerical Analysis: Polynomial Interpolation

For Students Higher Ed
For this polynomial worksheet, students find interpolating functions that can be expressed as a linear combination of basis functions. This four-page worksheet contains five multi-step problems.
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Numerical Analysis: Worksheet 12: Comparing Root-Finding Methods

For Students Higher Ed
In this root-finding worksheet, students rank numbers in asymptotic order. They identify and discuss the roots of the original function. This four-page worksheet contains approximately 10 problems.
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Numerical Analysis/ Other Root-finding Methods

For Students 11th - Higher Ed
In this math worksheet, students examine the uses of false position, Newton’s and Secant methods of finding the root of an equation.
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Numerical Analysis: Nonlinear Equations

For Students Higher Ed
In this nonlinear equations instructional activity, students use iterative methods for solving systems of nonlinear equations. This four-page instructional activity contains eight multi-step problems.
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Numerical Analysis: Solving Systems Of Non-Linear Equations

For Students Higher Ed
For 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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Numerical Analysis: Introduction to Approximation Theory

For Students Higher Ed
In this introduction to approximation theory, students compute the slope and intercept of a line. They describe nonlinear relationships. This four page worksheet contains approximately five problems.
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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: Polynomial Interpolation

For Students Higher Ed
In this polynomial worksheet, students identify the interpolated and extrapolated value of given equations. This four-page worksheet contains approximately ten problems. Explanations and examples are provided.
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Numeral Analysis: Introduction To Fixed Point Iteration

For Students Higher Ed
For this fixed point iteration worksheet, students use given theorems to determine converged functional iteration. This six-page worksheet contains five problems. Explanations and examples are provided.
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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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Complex Analysis: Graphical Representations

For Students Higher Ed
In this graphical representation worksheet, students draw an Argand diagram depicting two complex numbers in a complex plane. They draw vectors to represent complex numbers. This two-page worksheet contains five equations to solve.
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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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Multivariable Calculus: Application of Partial Derivatives

For Students Higher Ed
In this partial derivatives worksheet, students find formulas for the vector partial derivative of a function. They prove that an elliptic cone can be represented parametrically. This two-page worksheet contains explanations, examples,...
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Linear Systems: Using Matrix Operations

For Students 12th - Higher Ed
In this linear systems worksheet, students 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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Linear Systems: Permutations and Transposes

For Students 12th - Higher Ed
In this permutations worksheet, students identify a transpose matrix, and create a permutation matrix. This three-page worksheet contains six problems.
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Linear Systems: Eigenvalues and Eigenvectors

For Students 11th - Higher Ed
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: Other Methods of Computing Determinants

For Students 12th - Higher Ed
In this computing determinants activity, students explore methods of computing determinants. They complete determinant problems by using the co-factor method, the "big formula" and the use of product of the pivots. This two-page...
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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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Linear Systems: Applications of Eiginvalues

For Students 12th - Higher Ed
In this Eigenvalue and Eigenvector activity, students examine the applications of matrix exponentiation. This four-page activity provides explanations and examples, as well as three problems to complete.
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Linear Systems: Applications of Linear Algebra to Differential Equations

For Students 12th - Higher Ed
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

For Students 11th - Higher Ed
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: Definition of the Nullspace

For Students 11th - Higher Ed
In this nullspace learning exercise, learners find the nullspace of matrices, write a rectangular matrix upper-triangular form, and convert augmented matrix to echelon form. This six-page learning exercise contains approximately 8...
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Linear Systems: Reduced Row Echelon Matrix

For Students 12th - Higher Ed
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

For Students 11th - Higher Ed
In this linear algebra worksheet, students 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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