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Math 312 Spring 2004: Complex Integration
In this complex integration instructional activity, students compute the value of the integral, sketch the contour and identify the parameterizations used. This two-page instructional activity contains approximately five problems.
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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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Math 224 Spring 2004: Dot Product
In this dot product worksheet, students consider two vectors and compute the dot product and cross product of the given vectors. This two-page worksheet contains four problems.
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Math 224 Spring 2004: Limits of a Multivariable Function
In this multivariable function worksheet, students compute the limits of given functions. This two page worksheet contains three problems.
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Math 224 Spring 2004: Vectors
In this vector worksheet, students find the coordinates of a midpoint and compute the vector equation of a line. This two-page worksheet contains four problems.
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Linear Systems and Reviewing for Exam 2
In this math activity, learners practice reviewing the different method to find the inverse for a matrix. They compute the determinant of a matrix.
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Applications of Taylor Polynomials
In this math instructional activity, students investigate the applications of using Taylor Polynomials. Then they use the derivative definition of a Taylor Series to compute the popular functions.
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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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Discussion Sheet 9
In this math worksheet, students determine the convergence and divergence for each series using the test that is indicated. They also compute the partial sum and determine the error.
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Area, Riemann Sums and Summation Notation
In this math worksheet, students solve four problems written in sigma notation. They use Riemann sums to find the areas in four problems involving rectangles. Students work in groups to compute the Riemann sum approximations for rectangles.
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Review of Limits
For this limit worksheet, students review limits stated as an expression, analyze Euler's method applied to a rate equation, compute the terms of a given sequence, and identify a sequence as a convergence or divergence. this four-page...
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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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