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Related Functions
In this function worksheet, students discuss how a function would change if it shifted on a graph. They create ten new, related functions. Students identify odd, even and symmetric functions. This two-page worksheet contains examples,...
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The Derivative As a Function
In this derivative worksheet, students find the derivatives of given functions and graph a function. They identify the intervals which are increasing, decreasing or remain constant. This two-page worksheet contains approximately twenty...
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Quiz 2: Euler's Method and Piecewise Linear Functions
In this linear function activity, students use Euler's method to approximate a solution to an initial value problem. This two-page activity contains three multi-step problems.
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Maclaurin Series Quiz
In this Maclaurin series activity, 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 activity contains two multi-step...
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Homework Handout for Class 27
In this calculus activity, students solve five functions. They use the answers to approximate a second function. Students graph the Taylor polynomials and functions. They compare the two Taylor approximations.
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Applications of Derivatives: General Rules for Optimization
In this minima and maxima worksheet, students find the global and local maxima and minima of one function. They work in small groups to solve one optimization problem. Steps for solving are listed on the page.
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Applications of Derivatives: Newton's Method
In this derivative worksheet, students use Newton's Method for finding the roots of a function. They identify the local extrema and discuss ways in which Newton's Method can fail. This one-page worksheet contains four problems.
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Functions of Two Variables
In this function of two variables worksheet, students explore the relationship between the derivatives of a function and the shape of the graph. They determine the maximum and minimum value using optimization. Students find the...
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Successive Approximation and Euler's Method
In this approximation worksheet, students use the Euler's method to interpret a piecewise linear function. They explore why the approximation produced using a smaller stepsize is a better approximation. This four-page worksheet...
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Discussion Sheet 1: Domain & Range of a Function
In this domain and range instructional activity, students solve inequalities, determine the domain and range for a function, identify the limits, and sketch graphs of a function. This two-page instructional activity contains nine...
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Differentiability and Linear Approximation
In this linear approximation worksheet, students determine the derivative of a function and explore properties of the error when using a tangent line to approximate a function graph. This two-page worksheet contains four problems.
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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 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. ...
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Composition of Functions and the Chain Rule
In this function worksheet, students determine the natural domain and range for functions and formulas. They identify the composition of two functions and complete the derivation of the quotient rule. This three-page worksheet contains...
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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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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 1: Function
In this function discussion sheet, students determine the domain and range of each function and sketch the graph of each. They determine limits of given functions. This one-page learning exercise contains thirteen problems.
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More On Accumulation Functions
In this math worksheet, students investigate using the accumulation method to solve for the functions. They also review using Riemann Sums.
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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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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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Properties of Definite Integrals
In this definite integral worksheet, students evaluate the properties of definite integrals. Students graph their answers. This two-page worksheet contains two multi-step problems.
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Worksheet 33 Spring 1996
For this math worksheet, students find the solutions to the differential equations. Then they graph the solution and show if they are perpendicular.
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Linear Systems: Other Methods of Computing Determinants
In this computing determinants worksheet, students explore methods of computing determinants. They complete determinant problems by using the co-factor method, the "big formula" and the use of product of the pivots. This two-page...