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Exploration 3: Introduction to Definite Integrals
In this integral worksheet, students estimate the definite integral and find the derivative of functions. They graph functions and determine the range of the velocity. This three-page worksheet contains approximately 40 problems.
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Calculus Practice Test: Velocity, Functions
In this calculus worksheet, students observe graphs and identify the limits of the functions listed in the graph. They determine the definite integrals and derivatives. Students use the trapezoid rule to estimate distance. This...
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Complex Analysis: Independence of Path
In this independence of path worksheet, students evaluate contour integrals using anti-derivatives and the Cauchy-Goursat Theorem. This two-page worksheet contains four problems.
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Complex Analysis: Cauchy's Integral Formula
In this integral formula worksheet, students evaluate integrals. This worksheet contains examples and explanations of Cauchy's Integral Formula, as well as higher derivatives of analytical functions. There are nine problems on this...
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Math 312 Spring 2004 Bonus Quiz. Integrals
In this integral learning exercise, students derive a formula for the value of a contour integral. They explain the method of choice. This two-page learning exercise contains five problems.
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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: The Gradient
In this gradient activity, students explore the definition of differentiable and gradient. They find the tangent approximation of given situations, and determine the directional derivative. This two-page activity contains examples,...
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Introduction to Integration by Substitution
In this math learning exercise, students read the definition for the Chain Rule. Then they examine the functions and calculate the derivatives.
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Introduction to Substitution
in this math worksheet, students practice using the process of substitution for the integrals and derivatives. Then they identify the composite function.
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Patterns of Antiderivatives
In this antiderivative worksheet, students complete a table of basic derivatives and describe the antiderivative. This ten-page worksheet contains approximately 120 problems.
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Applying the Fundamental Theorem of Calculus
In this fundamental theorem worksheet, students identify the anti-derivative and write equations as an explicit function. This two-page worksheet contains two multi-step problems.
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Basic Calculus II: Techniques of Integration
In this differentiation worksheet, students select from a list of differentiation rules which one they have to use to find the derivative of the given equation. They evaluate one integral exactly.
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Recursion, Roots and Newton's Methods
In this recursion worksheet, students determine the successive approximations of square roots by using the Babylonian Algorithm. They discuss how to derive Newton's Method from the microscopic approximation. This four-page worksheet...
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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 5: Differentiate Functions
For this differentiate function worksheet, students differentiate functions, determine intervals, and derive the equation of a line tangent to a graph of a function. This two-page worksheet contains eleven problems.
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Finding Extrema Graphically and Symbolically
In this extrema worksheet, students use graphing calculators and the optimization method to identify the maximum and minimums of a given function. They compute the first and second derivative, and graph the functions. This eight-page...
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The Product and Quotient Rules
In this produce and quotient rule worksheet, students identify the values of given limits. They justify given proofs and explore the derivative of the sine and tangent functions. This three-page worksheet contains explanations,...
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New Functions From Old, Part 1
In this function activity, students use various methods to solve functions. They explore the logarithm function, the derivative of an exponential function, and compose a function with a linear equation. This four-page activity contains...
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Challenge Sheet 6: Fractions Decomposition
In this fractions decomposition worksheet, students set up partial fractions decomposition for rational functions. They use any method to integrate problems and derive recursion formulas for integrals. This one-page worksheet contains...
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Discussion Sheet 8: Area
In this area worksheet, students use integration to derive the equation for the area and volume of given three-dimensional figures. They determine the area of regions inside graphs, and evaluate integrals. This one-page worksheet...
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Discussion Sheet 9: Volume and Area
For this volume and area worksheet, students find the volume and area of three-dimensional figures. They consider regions bounded by graphs, use integration to derive a formula, and use the disc and shell methods for volume. This...
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Continuous Functions
In this continuous function worksheet, students determine the average velocity of objects over given intervals of time. They compute the derivative of functions and determine the slope of a line. This four-page worksheet contains...
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Worksheet 15: Velocity
In this velocity worksheet, students read story problems, write equations and determine distance, velocity and time. They derive an equation for the function. This two-page worksheet contains seven multi-step problems.
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Differential Equations
In this differential equation instructional activity, students find the derivative of given equations and express their answers as Maclaurin series. This two-page instructional activity contains examples and explanations. There are two...
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