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More Integral Exchange: Integration By Parts
In this integration worksheet, students explore methods of integration and explore integration by substitution. This two-page worksheet contains examples, explanations, and six multi-step problems.
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Discussion Sheet 7: Convergence or Divergence
In this convergence or divergence worksheet, students use any method to test for convergence or divergence. This one-page worksheet contains four multi-step problems.
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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
In 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 11: Taylor Series and Maclaurin Series
In this Taylor and Maclaurin series activity, students determine the nonzero terms in a series for a given function. They determine the limits and graph the function. This two-page activity contains examples, explanations, and six...
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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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Stability of Equilibrium Values
In this stability of equilibrium values worksheet, students explore equilibrium solutions and classify them as asymptotically stable or not asymptotically stable. They justify their reasoning. This four-page worksheet contains five...
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Challenge Discussion Sheet 3
In this function activity, students prove given limits, solve differentiate functions, identify points on a graph with tangent lines passing through given points, determine the radius of a largest sphere that can fit inside of a pyramid...
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Challenge Discussion Sheet 10: Limits
In this challenge discussion sheet on limits, students evaluate limits, derive formulas for the derivative of an inverse function, differentiate functions and find the values of constants. This one-page worksheet contains five...
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Worksheet 7 - Double Integrals
In this double integrals worksheet, the students compute antiderivatives and evaluate double integrals. They compute the volume of a solid bounded by planes. This one-page worksheet contains three 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 1: Domain & Range of a Function
In this domain and range worksheet, students solve inequalities, determine the domain and range for a function, identify the limits, and sketch graphs of a function. This two-page worksheet contains nine multi-step problems.
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Introduction to the S-I-R Model of Disease
In this introduction to the S-I-R Model, students explore a scenario concerning the spread of an infectious disease. They use the S-I-R model to determine the number of people infected, how many will recover, etc. Students write an...
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Discussion Sheet 2: Domain and Range
In this domain and range activity, 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 activity 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 3: Limits
In this limit learning exercise, students evaluate limits and use asymptotes and intercepts to sketch graphs of functions. They determine the area of inscribed shapes and use the limit definition of a derivative to differentiate...
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Discussion Sheet 9: Functions and Limits
In this function and limits worksheet, students identify a one-to-one correspondence and identify an inverse function. They compute limits of functions. This two-page worksheet contains five multi-step problems.
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The Geometric Interpretation of Partial Derivatives
In this partial derivative instructional activity, students compute partial derivatives at a given point. They measure the slope tangent to the surface at the point. This one-page instructional activity contains two multi-step problems.
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The Second Derivative Test for Relative Extreme in Three Dimensional Space
In this second derivative worksheet, students determine the relative maximum and minimum values of given surfaces in three-dimensional space. They perform the second derivative test, and identify the partial derivatives. This one-page...
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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 6: Derivative & Slope
In this derivative and slope worksheet, students find the derivative of given equations. They identify the slope of a line tangent to a graph and find the concavity of a graph. This one-page worksheet contains seven multi-step problems.
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Maclaurin Series Quiz
For this Maclaurin series worksheet, students use the Maclaurin series to find the first nonzero terms in a function. They estimate the value of a function with a given absolute error. This two-page worksheet contains two multi-step...
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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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Implicit Differentiation
In this implicit differentiation worksheet, students use the chain rule to solve for the derivative. The find the equation for the tangent line at a given point and determine if the line is vertical. This two-page worksheet contains...