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Worksheet
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Applications of Definite Integrals

For Students Higher Ed
In this definite integral activity, students explore different types of integrals and determine the length of a curve. This one-page activity contains eight multi-step problems.
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Worksheet
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Simpson's Rule

For Students Higher Ed
In this Simpson's Rule worksheet, students use the Fundamental Theorem of Calculus to determine the antiderivatives and evaluate integrals. They find the midpoint of given polygons and sketch the graph of the function. This nine-page...
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Worksheet
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Discussion Sheet 3: Function

For Students Higher Ed
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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Worksheet
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Learning the Anti-differentiation Process

For Students 11th - Higher Ed
In this math worksheet, students examine the data table and attempt to fill in the empty boxes for the functions. They are asked to list the pattern found there.
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Worksheet
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Chapter 3 - Worksheet 3D

For Students 11th - 12th
In this pre-calculus worksheet 3D, students determine if a function is even or odd. They sketch graphs of functions and find the inverse of functions. This two-page worksheet contains 18 problems.
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Worksheet
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Math 312 Spring 2004: Complex Logarithm

For Students Higher Ed
For this complex logarithm worksheet, students complete complex logarithm problems. They identify image and pre-image sets, indicate the location of the solution in a complex plane and give examples of integers with given parameters. ...
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Worksheet
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Math 312 Spring 2004: Complex Exponential Function

For Students Higher Ed
For this exponential function worksheet, students map functions and sketch the image and pre-image sets. They evaluate limits and identify all solutions of a given function. This two-page worksheet contains three multi-step problems.
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Worksheet
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Multivariable Calculus: The Jacobian Matrix

For Students Higher Ed
In this Jacobian matrix worksheet, students identify the derivative matrix of a function and use the tangent approximation to approximate vectors. This two-page worksheet contains six problems.
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Worksheet
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Linear Systems: The Determinant

For Students Higher Ed
In this determinant worksheet, students explore the determinant of a matrix. After examining the given examples and explanations, they find the determinants of given matrices. This two-page worksheet contains nine problems.
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Worksheet
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Approximating a Multivariable Function

For Students 11th - Higher Ed
In this math worksheet, students practice approximating the multivariable functions. They also complete the two problems in the form of a quiz.
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Worksheet
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Fundamental Theorem of Calculus

For Students Higher Ed
In this fundamental theorem activity, students give antiderivatives of functions, find the area under a curve, and evaluate continuous functions. This two-page activity contains ten problems.
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Worksheet
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Exploration 3: Introduction to Definite Integrals

For Students 11th - 12th
For 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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Lesson Plan
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Functions and Roots

For Teachers 9th - 10th
In this function worksheet, students factor polynomials, or use the FOIL method, to simplify polynomials and determine the roots. This three-page worksheet contains ten problems. Explanations and examples are provided.
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Lesson Plan
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y Intercepts

For Teachers 9th - 10th
In this y-intercept worksheet, students graph functions and determine the y-intercept of the equation. Explanations and examples are provided prior to the exercises. This two-page worksheet contains ten problems.
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Worksheet
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Explanation of Optimal A

For Students 11th - Higher Ed
In this math worksheet, students examine the concept of optimal A and solve a problem using the example. They find the error in the rounding.
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Worksheet
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Math 155 - Worksheet 13. Intervals

For Students Higher Ed
In this interval activity, students find the intervals of increase and decrease and all local extrema. They sketch a graph of the function and describe the intervals of concavity and all inflections points. This two-page activity...
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Worksheet
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Math 155: Worksheet 12. Functions & Intervals

For Students Higher Ed
In this function instructional activity, students identify all numbers in the interval. They determine open intervals, find the local maximum and local minimum. This two-page instructional activity contains eight problems.
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Math 155 Worksheet 2. Limits

For Students Higher Ed
In this limits worksheet, students state the value of an indicated quality. They graph given functions. This one-page worksheet contains two multi-step problems.
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Worksheet
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Math 155 - Worksheet 7. Function

For Students Higher Ed
In this function worksheet, students compute the derivative of given functions. They find the equation of a tangent line to a curve and compute the implicit differentiation. This two-page worksheet contains six problems.
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Worksheet
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Numerical Analysis

For Students 11th - Higher Ed
In this math instructional activity, learners use fzero to find the roots of the non-linear functions. They also practice finding the root of the polynomial functions.
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Worksheet
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Perturbing Functions and Introduction to Matlab

For Students 11th - Higher Ed
In this math worksheet, students practice using the program of Matlab and apply them while using functions. They practice writing equations in truncated form.
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Worksheet
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Numerical Analysis: Introduction to Approximation Theory

For Students Higher Ed
In this introduction to approximation theory, students compute the slope and intercept of a line. They describe nonlinear relationships. This four page worksheet contains approximately five problems.
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Worksheet
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Complex Analysis: Functions

For Students Higher Ed
In this function worksheet, students find the residues of all singularities of a given function. They use Cauchy's Second Residue Theorem to evaluate the functions. This four-page worksheet contains explanations and examples, with...
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Worksheet
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Comparing Root-finding Methods

For Students Higher Ed
For this root-finding worksheet, students list methods of finding roots. They answer questions about each method, to determine the best circumstances to use each method. This four-page worksheet contains approximately 10 problems.