Tag: mathematics

lagrange: Method of Lagrange Multipliers

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Exercise template for minimizing a linear objective function with two arguments subject to a Cobb-Douglas-type constraint. Both the parameters of the functions and the exact question (argument 1 vs. argument 2 vs. function value in optimum) are drawn randomly. Read More ›

hessian: 2x2 Hessian Matrix (Single-Choice)

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Exercise template for computing the Hessian for a given function with randomly-drawn parameters. Read More ›

fourfold2: Fourfold Table (Moodle Version)

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Exercise template for computing a fourfold table (as presented in Moodle) of joint and marginal probabilities based on three randomly-drawn conditional or marginal probabilities. Read More ›

fourfold: Fourfold Table

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Exercise template for computing joint probabilities from a 2x2 table based on three randomly-drawn conditional or marginal probabilities. Read More ›

dist3: Distances and the Pythagorean Theorem (Single-Choice)

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Exercise template for computing the distance (single-choice) between two randomly-drawn points in a Cartesian coordinate system. Read More ›

dist2: Three Distances in a Cartesian Coordinate System

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Exercise template for computing the Manhattan, Euclidean, and maximum distance (cloze with three numeric answers) between two randomly-drawn points in a Cartesian coordinate system. Read More ›

dist: Distances and the Pythagorean Theorem

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Exercise template for computing the distance (numeric answer) between two randomly-drawn points in a Cartesian coordinate system. Read More ›

deriv2: Product Rule for Derivatives (Single-Choice)

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Exercise template for computing the derivative (single-choice) of a production function with factors of type xa and exp(b * x) at a given point c, with randomly-drawn a, b, and c. Read More ›

deriv: Product Rule for Derivatives

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Exercise template for computing the derivative (numeric answer) of a production function with factors of type xa and exp(b * x) at a given point c, with randomly-drawn a, b, and c. Read More ›

cholesky: Cholesky Decomposition

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Exercise template for computing the Cholesky decomposition of a simple randomly-generated 3x3 or 4x4 matrix (by hand). Read More ›