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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 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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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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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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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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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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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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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: 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: 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.