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Average and Instantaneous Velocity
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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Numerical Analysis: Piecewise Polynomial Interpolation
In this interpolation learning exercise, students use a linear interpolating polynomial and then describe the extrapolated value of the function. This four-page learning exercise contains ten problems.
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Numerical Analysis: Solving Systems Of Non-Linear Equations
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: Sequence
In this sequence instructional activity, students explore the convergence of a sequence and the rate of a sequence. They explore problems and identify the order of convergence. This three-page instructional activity contains...
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Linear Systems: Matrix Operations
In this matrix operations worksheet, students perform matrix addition and multiplication. This two-page worksheet contains six problems. Definitions, examples and explanations are also provided.
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Linear Systems: Other Methods of Computing Determinants
In this computing determinants worksheet, 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: Orthogonality of Vector Spaces of a Matrix
In this vector spaces of a matrix learning exercise, students decompose any vector into two orthogonal pieces. They identify the nullspace, row space, and find a reduced echelon. This two-page learning exercise contains examples and...
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Linear Systems: Elimination
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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Linear Systems: Gauss-Jordan Elimination
In this Gauss-Jordan learning exercise, students use the Gauss-Jordan method to find an identify matrix. This two-page learning exercise provides examples, explanations and two practice problems.
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Properties of the Definite Integrals
For this math worksheet, students investigate the properties of definite integrals. Then they apply the properties and compare sets of two integrals to each other.
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Homework 7: Hares and Foxes (Based on a problem in Cic)
In this system of equations worksheet, students use systems of equations and Euler's method to calculate the population of hares and foxes. They plot and interpret their results. This one-page worksheet contains three multi-step...
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Derivatives of Elementary Functions
In this derivatives worksheet, students sketch the graphs of four functions. They write the derivatives of eight functions. Students complete two derivative tables.
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Elements, Compounds, and Mixtures
In this matter activity, students review the three forms of matter by reading a poem and completing 1 matching and 5 short answer questions.
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Counting Significant Digits
For this significant digits worksheet, students are given twelve measurements and they determine the total number of significant digits in each given number.
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Numerical Analysis: Using the QR Algorithm
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: Rates of Convergence
In this rates of convergence worksheet, students explore examples of linear, superlinear and quadratic convergence of sequences. They solve six problems involving sequence converges. This two-page worksheet contains examples and six...
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Multivariable Calculus: Limits of Multivariable Functions
In this multivariable function worksheet, students find the limits of a function, identify the domain, and explore continuous functions. This two page worksheet contains explanations, definitions, and examples. There are approximately...
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Linear Systems: Symmetric Matrices
In this symmetric matrices worksheet, students explore the characteristics of symmetric matrices. This two-page worksheet contains examples and explanations concerning symmetric matrices. Two problems are provided to solve.
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Linear Systems: Projections
In this projection worksheet, learners determine the projections of a given matrix. This four-page worksheet contains explanations and examples and approximately ten problems to complete.
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Linear Systems: Eigenvalues and Eigenvectors
In this eigenvalues worksheet, students find the eigenvalues and eigenvectors of a given matrix. This two-page worksheet contains examples, explanations and two practice problems.
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Math 155 - Fall 2005 Differentiation
In this differentiation worksheet, students find an equation of a line tangent to a curve. They use linear approximation to estimate answers. This two-page worksheet contains approximately 12 multi-step problems.
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Linear Systems: Applications of Eiginvalues
In this Eigenvalue and Eigenvector worksheet, students examine the applications of matrix exponentiation. This four-page worksheet provides explanations and examples, as well as three problems to complete.
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Linear Systems: Orthogonal Matrices
In this orthogonal matrices worksheet, students explore characteristics of an orthogonal matrix. They use Gram-Schmidt to convert linearly independent vectors to orthonormal vectors. This three-page worksheet contains approximately six...
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Linear Systems: Fundamental Theorem
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.