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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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Sequence Problems
In this sequence worksheet, students compute the first five terms of a sequence and determine whether each sequence converges or diverges. They determine the limits of given sequences. This two-page worksheet contains approximately 45...
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Worksheet 16: Area
In this area worksheet, students compute the area of a region bounded by graphs. They identify polar coordinates and sketch graphs of equations. This two-page worksheet contains approximately fifteen problems.
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Worksheet 3: Functions & Limits
In this function worksheet, students determine the limits and compute integrals. This two-page worksheet contains approximately ten problems.
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Worksheet 5 1/2: Sequence
In this sequence worksheet, students compute sequence problems. They calculate problems dealing with the age of the universe, estimate population, time and rate. This one-page worksheet contains seven multi-step problems.
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Challenge Sheet 1: Limits and Sums
In this limit worksheet, students evaluate sums, determine limits, compute distance problems, and sketch functions. This one-page worksheet contains approximately eleven problems.
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Challenge Sheet 8: Kinetic Energy
In this kinetic energy worksheet, student set up equations that represent the kinetic energy of a rod with given parameters. They compute the volume of ocean water in a 2-mile radius, and sketch a graph of the information. This...
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ESP Quiz 3
In this functions worksheet, students complete three short answer problems. They solve one compound inequality. Students show that a given function is even. They use exponential growth to compute the enrollment at UC Davis over time.
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ESP Quiz 4
Students solve four short answer (computation) problems by evaluating indefinite integrals. This activity is intended to be used as a quiz, but could be used a review.
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