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More Antiderivatives and the Indefinite Integral
In this math learning exercise, students investigate the concepts of antiderivatives and the indefinite integral. They also check to find the elementary functions.
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Part 3 of the Fundamental Theorem of Calculus
In this Fundamental Theorem of Calculus worksheet, students find the solution of given functions. This one-page worksheet contains five problems.
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Discussion Sheet 2
In this math worksheet, students investigate the functions and find the derivatives. Then they examine the critical and saddle points.
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Applications of Definite Integrals
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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Simpson's Rule
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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Discussion Sheet 3: Function
In this function instructional activity, students compute functions, classify critical points and determine the absolute extrema for an indicated region. This one-page instructional activity contains approximately nine multi-step problems.
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Learning the Anti-differentiation Process
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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Chapter 3 - Worksheet 3D
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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Math 312 Spring 2004: Complex Logarithm
In 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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Math 312 Spring 2004: Complex Exponential Function
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
In this Jacobian matrix instructional activity, students identify the derivative matrix of a function and use the tangent approximation to approximate vectors. This two-page instructional activity contains six problems.
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Linear Systems: The Determinant
In this determinant learning exercise, students explore the determinant of a matrix. After examining the given examples and explanations, they find the determinants of given matrices. This two-page learning exercise contains nine...
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Approximating a Multivariable Function
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
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
In this integral worksheet, learners 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
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
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
In this math activity, 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
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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Perturbing Functions and Introduction to Matlab
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
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
In this function activity, 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 activity contains explanations and examples, with three...
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Comparing Root-finding Methods
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
In this contour integration worksheet, students integrate formulas, sketch the contour and evaluate the integral. This two-page worksheet contains approximately eight problems.