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Complex Analysis: Linear Transformations
For this linear transformation worksheet, students find a series of linear transformations and sketch them. This four-page worksheet contains approximately six problems.
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Complex Analysis: Linear Transformations, Inversion Mappings
In this transformation learning exercise, students identify a series of transformations and sketch them. They use inversion mapping to establish a one-to-one correspondence between nonzero points. This four-page learning exercise...
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Major Functions
Seventh graders investigate the basic characteristics and needs of living things. They identify the major parts of plants and animals by making lists. Students focus upon one living thing and speculate how if one part is changed how it...
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Numerical Analysis
In this math worksheet, students examine the concepts of generalizing root-finding algorithms and fixed point iteration. They also practice using the Fixed Point Theorem.
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Analysis of Lobster Claw Function. An Exercise in Biomechanics
Students observe two chelae. They write three differences they observe in their notebooks. Students suggest a hypothesis which would explain these differences. They dissect the chela. Students analyze the lobster claw as a mechanical lever.
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Numerical Analysis: Systems of Linear Equations
In this linear equation worksheet, students use the iterative method to solve systems of equations. Explanations and examples are provided. This four-page worksheet contains approximately three problems.
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Complex Analysis: Compute Residues
In this residue learning exercise, students use the Laurent series formula to compute residues. This two-page learning exercise contains five problems.
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Complex Analysis: Examples of Contour Integration
In this contour integration worksheet, students evaluate an equation, sketch the contour and evaluate the integral. This two-page worksheet contains approximately eight problems.
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Complex Analysis: Path Independence
In this path independence activity, students evaluate contour integrals using the Cauchy-Goursat Theorem. This two-page activity contains approximately 5 problems.
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Complex Analysis: Logarithms
In this logarithms worksheet, students compute logarithms and investigate the analyticity of the log. This four page worksheet contains approximately five multi-step problems. Examples and explanations are provided throughout the worksheet.
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The Kangaroo Conundrum: A Study of a Quadratic Function
Pupils play a game and collect data for their graph. For this algebra lesson, students solve quadratic equations and identify properties of their graph. They describe the pattern created by the graph and the game.
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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
In this math learning exercise, students practice analyzing root finding algorithms, Newton-Raphson and secant. They use the examples to master the concepts.
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Numerical Analysis/ Orders of Convergence of a Sequence
In this math worksheet, students examine the concept of orders of convergence for a sequence. They practice finding the different rates of convergence.
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Numerical Analysis/ Other Root-finding Methods
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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What is the Function of Each Seed Part in the Growth of a Plant
Sixth graders investigate the parts of a seed by using a digital camera. In this botany lesson, 6th graders plant their own seeds in class and demonstrate the necessary attributes for growing a plant. Students utilize a camera to...
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Numerical Analysis: Sequence
In this sequence 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 activity contains approximately six problems. ...
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Complex Analysis: Applications and Implications of Cauchy's Integral Formula
In this integral worksheet, students explore various theorems used to evaluate integrals. This two-page worksheet contains theorem explanations and two problems.
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Complex Analysis: Transformations
In this transformation worksheet, students find the linear transformation of equations and use the Mobius transformation to identify image boundaries. Students describe the images in each quadrant. This two page worksheet contains six...
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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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Electrophoretic Analysis: DNA Fingerprinting and Evolutionary Divergence
Students examine the principles of electrophoresis. They evaluate both the agarose and polyacrylamide system of molecular separation. In order to bring the concepts of genetics and evolution full circle from DNA to protein, students...
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Numerical Analysis
In this math worksheet, students practice analyzing iterative methods. Then they use the reading to practice problem solving focusing upon convergence.
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Numerical Analysis: Analyzing Root Finding Algorithms
In this root finding worksheet, students compare graphs and shade in regions corresponding to given convergence criteria. They compute the solution of equations of one variable. This two-page worksheet contains six problems.
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Complex Analysis: Applications of Cauchy-Goursat
In this Cauchy-Goursat worksheet, students evaluate integrals, sketch the contour and explain the methods used to evaluate the problem. This two-page worksheet contains approximately six problems.