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Complex Analysis: Properties of Complex Numbers
In this properties of complex numbers worksheet, students list and explain the properties and operations used to compute the value of expressions. This one-page worksheet contains six definition questions and three equations.
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Multivariable Calculus: Divergence
In this divergence worksheet, students explore the definitions of divergence and a curl. Given equations, students compute the divergence and the curl. This two-page worksheet contains four problems.
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Multivariable Calculus: Green's Theorem
In this Green's Theorem instructional activity, students compute the value of the line integral. This two-page instructional activity contains explanations, examples, and three problems to solve.
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Calc 3 Review Problems - Function
In this integral worksheet, 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 worksheet...
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Multivariable Calculus: Introduction to Path Integrals
In this path integral worksheet, students compute line integrals under given conditions, define vector fields, and explore gradient fields, as well as a potential function. This two-page worksheet contains five problems.
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Multivariable Calculus: Curvilinear Coordinates
In this curvilinear coordinate learning exercise, students compute the Jacobian of standard transformations to Cartesian coordinates from polar, spherical and cylindrical coordinates. They identify the determinant of the Jacobian...
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Evaluating Definite Integral Using Anti-Derivatives
In this integral worksheet, students compute the exact value of given functions. They specify the definite integral and antiderivatives. This two page worksheet contains five multi-step problems.
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Discussion Sheet 3: Function
For this function worksheet, students compute functions, classify critical points and determine the absolute extrema for an indicated region. This one-page worksheet contains approximately nine multi-step problems.
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Worksheet 8 - Double Integrals
In this double integral worksheet, students compute the antiderivatives, explore the order of integration, and determine the double integrals of given functions. They sketch the volume of a solid represented by double integrals. This one...
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Discussion Sheet 2: Domain and Range
In this domain and range worksheet, students determine the domain and range of a function, compute the limits of a function, and use the intermediate value theorem to verify that an equation is solvable. This one-page worksheet contains...
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Discussion Sheet 4: Limits & Differentiation
In this limits and differentiation worksheet, students use the limit definition of a derivative to compute functions, and differentiate functions. They determine the geometric significance of values and identify the sketch of a...
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Discussion Sheet 9: Functions and Limits
In this function and limits activity, students identify a one-to-one correspondence and identify an inverse function. They compute limits of functions. This two-page activity contains five multi-step problems.
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More on Limits, Graph Sketching, and L'Hopital's Rule
In this limits worksheet, students compute the answers to thirteen limits problems. They answer one short answer question. Students follow listed steps to simplify two limits problems. Students answer three short answer questions about a...
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The Geometric Interpretation of Partial Derivatives
In this partial derivative worksheet, students compute partial derivatives at a given point. They measure the slope tangent to the surface at the point. This one-page worksheet contains two multi-step problems.
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Basic Calculus: Extrema, and Optimization: Putting it all Together
In this extrema and optimization worksheet, students identify all points in the domain and determine the critical points. They compute the second derivative and find the global maxima and minima. This two-page worksheet contains two...
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Infinite Limits and Horizontal Asymptotes
In this infinite limit learning exercise, students compute horizontal and vertical asymptotes. They use trigonometric functions to find the limits of functions and compare results. This two-page learning exercise contains examples and...
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Supplemental Algebra Problems
In this volume worksheet, students compute the volume of geometric shapes. Each problem is an application (or word) problem. Students are given the appropriate formula and dimensions of the shape. Two problems ask about surface area.
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Worksheet 8: Absolute Percentage Error
In this absolute percentage error worksheet, students estimate the maximum absolute error in computing the volume and area of a cube or a sphere. They use differentials to estimate the value of roots. This one-page worksheet contains...
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Average Velocity, Instantaneous Velocity, and Slope
In this velocity worksheet, students determine the average velocity for given situations. They graph the distance traveled, and compute velocity at time intervals. This two-page worksheet contains eleven problems.
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The Babylonian Algorithm, Limits and Rates of Change
In this successive approximations worksheet, students use the Babylonian algorithm to determine the roots of given numbers. They identify the limits of a function, and compute the rate of change in a linear function. This two-page...
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You Must Know These
For this sequence worksheet, students compute the value of the nth term. They identify a convergent series. This one-page worksheet contains four problems.
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Worksheet 9
In this integration worksheet, students solve 30 short answer (computation) problems. They find the area of regions enclosed by graphs of given functions for one problem. Students solve five short answer problems using derivatives. They...
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ESP Quiz 8
A quiz that could also be used as a class learning exercise or homework assignment, this activity prompts students to answer four short answer (computation) problems. They solve each series problem and tell if it converges or diverges.
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The Derivative
In this derivative worksheet, students estimate the derivative of given functions, compute the rate of change at a given point, and simplify the difference quotient. This two-page worksheet contains definitions, examples, and five...
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