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Multivariable Calculus: Multiple Integration
In this multiple integration learning exercise, students define coordinate rectangle, explore what it means to be "bounded on a set," and define the Riemann integral. They find the volume of a graph with specified boundaries and curves....
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Multivariable Calculus: Multiple Integration
For this multiple integration worksheet, students identify the multiple integration of a given function. They evaluate integrals and identify their value. Students sketch a region of integration, write integrals in terms of rectangular...
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Multivariable Calculus: Extrema of Multivariable Functions
In this multivariable function activity, students determine the extrema of multivariable functions, classify critical points, and solve functions with given boundaries. This two page activity contains five multi-step problems as well as...
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Multivariable Calculus: Curvilinear Coordinates
In this curvilinear coordinate activity, students compute the Jacobian of standard transformations to Cartesian coordinates from polar, spherical and cylindrical coordinates. They identify the determinant of the Jacobian matrices. This...
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Multivariable Calculus: Linear Systems
In this linear system worksheet, learners compute the determinant of a given matrix. They solve systems of equations and compute the inverse of a matrix. This two-page worksheet contains examples, explanations, and three multi-step...
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Discussion Sheet 1: Three-Dimensional Space
In this three-dimensional space worksheet, students sketch three-dimensional spaces, determine the intersection of two surfaces, plot curves, and evaluate the limits. This one-page worksheet contains six multi-step problems.
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Discussion Sheet 4: Integrals
In this integral worksheet, students sketch solids in three dimensional space, determine the coordinates, evaluate the integrals and identify the moment of inertia. This one-page worksheet contains six multi-step problems.
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Applications of Definite Integrals
In this definite integral worksheet, students explore different types of integrals and determine the length of a curve. This one-page worksheet contains eight multi-step problems.
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More Integral Exchange: Integration By Parts
For 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 activity, students compute the exact value of given functions. They specify the definite integral and antiderivatives. This two page activity 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 worksheet, students determine the nonzero terms in a series for a given function. They determine the limits and graph the function. This two-page worksheet 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 worksheet, 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 instructional activity, 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...
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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 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 activity, 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 function....
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Discussion Sheet 3: Limits
In this limit worksheet, 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 functions. ...