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Math 312 Spring 2004: Complex Exponential Function

For Students Higher Ed
In 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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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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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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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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Fundamental Theorem of Calculus

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

For Students 11th - 12th
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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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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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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Numerical Analysis

For Students 11th - Higher Ed
For this math worksheet, students 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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Explanation of Optimal A

For Students 11th - Higher Ed
In this math learning exercise, 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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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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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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Complex Analysis: Functions

For Students Higher Ed
For 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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Comparing Root-finding Methods

For Students Higher Ed
In 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.
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Complex Analysis: Contour Integration

For Students Higher Ed
In this contour integration worksheet, students integrate formulas, sketch the contour and evaluate the integral. This two-page worksheet contains approximately eight problems.
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Complex Analysis: Rectangular Form

For Students Higher Ed
In this rectangular form activity, students write numbers in rectangular form. They solve complex numbers, and find the value of a function. This two-page activity contains approximately 12 multi-step problems.
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Complex Analysis: Function

For Students Higher Ed
In this function worksheet, students evaluate problems involving functions, identify the domain and range of functions, and complete inversion mapping. This two-page worksheet contains approximately twelve problems.
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Complex Analysis: Homework Set 5: Domain

For Students Higher Ed
In this domain worksheet, students determine the domain of analyticity for given functions. This one-page worksheet contains five multi-step equations.
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Math 155 - Worksheet 13. Intervals

For Students Higher Ed
In this interval instructional 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...
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Complex Analysis: Functions of Complex Variables

For Students Higher Ed
In this function worksheet, students map equations and identify three dominant characteristics. They evaluate functions of complex variables. This three-page worksheet contains approximately ten problems.
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Math 155: Worksheet 12. Functions & Intervals

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

For Students Higher Ed
In this limits activity, students state the value of an indicated quality. They graph given functions. This one-page activity contains two multi-step problems.
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Complex Analysis: Complex Exponential

For Students Higher Ed
In this complex exponential worksheet, students identify an entire function and explore how to show a function is analytic. This two-page worksheet contains four problems, as well as explanations and examples.
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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.