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Primes and Triples
In this primes worksheet, learners list three triples that are generated by formulas. They explain how to generate these formulas and discuss the Pythagorean Triples. This one-page worksheet contains one multi-step problem.
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Discussion Sheet 1: Sums, Midpoints
In this sums learning exercise, students evaluate sums, estimate total mass, determine left and right endpoints and midpoints of the subdivision. This one-page learning exercise contains fifteen problems.
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Linear Systems: Eigenvalues and Eigenvectors
For 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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Worksheet 7: Distance and Rate
In this distance and rate worksheet, students determine the rate in which something is moving, and explore the rate a surface area of a cube is changes under given circumstances. This one-page worksheet contains seven multi-step problems.
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Worksheet 1
In this calculus worksheet, students answer 5 short-answer problems regarding different salt solutions per gallon, various size tanks, water flow and time.
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Challenge Discussion Sheet 6
Students are challenged to determine values that are guaranteed by the mean value theorem. They sketch the graph of a function and show that it satisfies the conditions of the mean value theorem over a given interval. Students determine...
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Average Value of a Function
In this value worksheet, students determine the average amount of money in an account at various period of time. This one-page worksheet contains one multi-step problem. An example and explanation is provided.
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Parametric Equations: Speed, Arc Length
In this parametric equation worksheet, students determine the length an object travels over a given amount of time. This one-page worksheet contains two problems.
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Divergence and Convergence
In this divergence and convergence worksheet, students complete a comparison test for improper integrals. This four-page worksheet contains approximately ten problems.
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Convergence Tests for Infinite Series
In this convergence worksheet, students explore different tests for convergence of an infinite series of numbers. This six-page worksheet contains twelve multi-step problems.
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Riemann Sums and Error Control
In this Riemann sums learning exercise, students use the Riemann sums to approximate a given area. This two-page learning exercise contains two multi-step problems.
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Properties of Definite Integrals
For this definite integral worksheet, students evaluate the properties of definite integrals. Students graph their answers. This two-page worksheet contains two multi-step problems.
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Multivariable Calculus: Linear Systems
In this linear systems worksheet, learners perform matrix multiplication. This two-page worksheet contains examples, explanations, definitions, and four problems.
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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: 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: Review of Vectors
In this review of vectors worksheet, students explore vectors and their uses. They multiply and subtract vectors and identify the linear combinations of given matrices. This two-page worksheet contains approximately ten problems.
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Numerical Analysis: Rates of Convergence
In this rates of convergence activity, students explore examples of linear, superlinear and quadratic convergence of sequences. They solve six problems involving sequence converges. This two-page activity contains examples and six...
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Calc 1 Review Problems - Function
In this review of functions worksheet, students find the derivative of functions, evaluate limits, determine whether functions are invertible, identify critical points and find the equation of the tangent line to a function. This...
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Calc 2 Review Problems - Integral
In this integral activity, students review finding integrals by using various methods from Biller, Blaski, Fuentes, Juarez, Piazza, Salazar, Smith, and Youn. This two-page activity contains approximately 16 problems.
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Calc 3 Review Problems - Function
In this integral activity, students evaluate integrals, integrate functions, find directional derivative of a function, identify the maximum and minimum values of a function, and compute Cartesian coordinates. This two-page activity...
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Math 312 Spring 2004: Complex Numbers
In this complex numbers worksheet, students complete proofs for complex numbers, sketch points which solve an equation, compute and sketch an Argand diagram. This two-page worksheet contains five multi-step problems.
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Math 312 Spring 2004: Argand Plane
In this Argand plane activity, students map problems dealing with theoretical aerodynamics to represent cross-sections of airfoils. They use Joukowsky mapping to sketch the image of a circle and compute the limits of a function. This...
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Math 312 Spring 2004: Argand Plane
In this Argand Plane worksheet, students use inversion mapping to sketch images of a circle in the Argand plane. This two-page worksheet contains five problems.
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Quiz 7: Multivariable Calculus
Test your students' calculus skills with this quiz, the first page of which includes instructions and an honor pledge. On the second page, students find the maximum and minimum values of the of an identified figure with given...