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Converge or Diverge?

For Teachers 11th - 12th
Students prepare for the calculus concepts of limits by examining sequences that converge and diverge. By using an Excel program that generates sequences, students manipulate the starting number, multiplier and add-on values, and examine...
Interactive
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Logarithmic Differentiation

For Students 12th
In this calculus activity, 12th graders perform logarithmic differentiation on functions for which the ordinary rules of differentiation do not apply.  The one page interactive activity contains eleven problems.  Answers are...
Worksheet
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Finding the Limit: Piecewise Functions and Graphs

For Students 9th - Higher Ed
This pre-calculus worksheet is short, yet challenging. High schoolers calculate the limit of piecewise functions, rational functions, and graphs as x approaches a number from the positive or negative side. There are four questions.
Lesson Plan
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Absolute Value And Symmetry

For Teachers 9th - 12th
Students engage in a instructional activity that is concerned with the concepts of absolute value and symmetry. They define the meaning of absolute value and graph functions and study the corresponding line and its symmetry. The...
Worksheet
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Integration by Parts

For Students 9th - 12th
In this calculus worksheet, students integrate over parts in order to solve the provided integral problems. There are 32 questions including some with natural log and trig functions.
Lesson Plan
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Computation Of Limits

For Teachers 11th - Higher Ed
Students engage in a lesson about the limits of mathematics. They practice computing the limits in a introduction to a course in calculus. Students are guided through sample problems that are provided in the lesson. They demonstrate...
Lesson Plan
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Review For Test On Chapter 5

For Teachers 9th - 12th
High schoolers engage in a study of various concepts in relation to preparing for a calculus exam. They sketch and discuss and sketch a variety of functions. The lesson includes an outline of review that should be used by the teacher...
Worksheet
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Review of Limits and Continuity

For Students 11th - 12th
In this calculus learning exercise, students complete a chart of values using limits and continuity. They use the test of continuity to solve most of the problems and match their answers to the correct answers. There are 18 matching...
Worksheet
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Calculus Worksheet: Limits of Functions (1)

For Students 11th - 12th
Students sketch the graph of 4 functions and define the domain and range of each.
Worksheet
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Multivariable Calculus: Implicit Differentiation

For Students Higher Ed
In this implicit differentiation worksheet, students compute the determinant of the Jacobian matrix and solve equations by implicit differentiation. This two-page worksheet contains definitions, examples, and explanations. It contains...
Worksheet
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Calculus Worksheet: Derivatives of Stepwise Functions (1)

For Students 11th - 12th
In this derivatives activity, students determine if the derivative of the given function exists. If the student determines this is yes, they are directed to find the value. There is one function on this activity.
Worksheet
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Worksheet 31

For Students 12th - Higher Ed
In this math worksheet, students find the solutions to the differential equations. They also investigate the application of recognizing the parts of the equation.
Worksheet
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Worksheet 30

For Students 11th - Higher Ed
In this math worksheet, students solve the differential equation by means of a power series about the point x0 = 2. Then they find the recurrence relation and the first four terms.
Worksheet
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Worksheet 20

For Students 10th - 12th
In this math activity, they write down and solve a differential equation governing the motion of an underdamped spring. Then they find the solution to the initial value problem.
Worksheet
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Worksheet 13

For Students 11th - Higher Ed
In this math worksheet, students find the solution for the Euler equation. Then they simplify the two differential for the functions of g and yp.
Worksheet
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Worksheet 3

For Students 12th - Higher Ed
in this math worksheet, students define the meaning of a differential equation. Then they examine the method of solving a separable equation.
Worksheet
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Worksheet 14 Spring 1996

For Students 11th - Higher Ed
In this math worksheet, students answer the questions in the context of either being true or false. The topics covered include derivatives and differential equations.
Worksheet
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Cryptarithms: Calculus

For Students 9th - 12th
In this cryptarithm worksheet, students solve 1 short answer problem. Students determine which integer values represent given letters in cryptarithm. Students are given an addition problem adding words like circle, ellipse, series,...
Interactive
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Review of Calculus BC I

For Students 10th - 12th
In this review worksheet, students match a function to the proper description.  they identify the domain of a function.  Students determine the slope of an inverse function.  They find the derivative of given...
Worksheet
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Multivariable Calculus: Limits of Multivariable Functions

For Students Higher Ed
In this multivariable function worksheet, students find the limits of a function, identify the domain, and explore continuous functions. This two page worksheet contains explanations, definitions, and examples. There are approximately...
Worksheet
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Multivariable Calculus: Application of Partial Derivatives

For Students Higher Ed
In this partial derivatives worksheet, students find formulas for the vector partial derivative of a function. They prove that an elliptic cone can be represented parametrically. This two-page worksheet contains explanations, examples,...
Worksheet
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Multivariable calculus: Partial Derivatives

For Students 11th - Higher Ed
In this partial derivative worksheet, learners calculate the derivative of given problems and find the equation of the tangent plane to an equation. This two-page worksheet contains five problems.
Worksheet
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Multivariable Calculus: Visualizing Multivariable Functions

For Students Higher Ed
In this multivariable functions worksheet, students graph functions and describe the level sets of the function. This two page worksheet contains approximately ten problems.
Worksheet
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Linear Systems

For Students Higher Ed
For this linear systems worksheet, students explore the effect of two identical columns in a matrix on the null space of the matrix. They consider the column space of a matrix. Students compare the column space of a matrix to the column...

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