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Rates Of Change
Students investigate the rate of change and how it effects a function over a given interval. They examine the slope of a line that is seccant and how it is compared to a tangent line and then determine the changes of a function at any...
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Understanding Fundamental Trigonometric Identities
Students are introduced to the basic trigonometric identities. Using a diagram, they discover why the parts of the unit circle as named as they are and use equations to finalize the Pythagorean trigonometric identities. They also review...
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Worksheet 29 Spring 1999
In this math worksheet, students describe in terms of reflections what happens to a point when (r, θ) in polar coordinates changes. They also discuss the concept of symmetry.
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Integration By Parts
in this math worksheet, learners read the example for the product rule. Then they apply the rule individually or in groups to the following integrals.
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Worksheet 23
In this math worksheet, students practice using summation notation. Then they draw a picture of a sequence of partitions in which the mesh does not go to 0.
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Worksheet 28 - Fall 1995
For this math worksheet, learners define a definite integral. Then they draw a picture or sequence of pictures with progressively finer partitions..
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Numerical Analysis/ Orders of Convergence of a Sequence
In this math worksheet, students examine the concept of orders of convergence for a sequence. They practice finding the different rates of convergence.
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Numerical Analysis/ Other Root-finding Methods
In this math worksheet, students examine the uses of false position, Newton’s and Secant methods of finding the root of an equation.
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Using Riemann Sums
In the Riemann sums worksheet, students use Riemann sums to estimate the area under a curve. They calculate intervals and subintervals. Students create a graph picturing the intervals. This seven-page worksheet contains explanations...
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Mathematics B: High School Exam
In this mathematics worksheet, learners solve problems about numerous high school topics including trigonometry, algebra, and pre-calculus. This worksheet contains, but is not limited to, radicals, inverse functions, transformations, and...
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Worksheet 26
In this math worksheet, students take the time to consider the heat equation. Then they analyze the solution and apply it to a variety of other uses.
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Worksheet 22 - Spring 1996
students examine the potential of creating the involute for a circle. They use the concept to create new parametric equations. They graph the picture for each.
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Worksheet 19
In this math worksheet, students try to fit a line to a set of data. Then they use the least squares method is based on minimizing the sum of the squares of the errors.
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Worksheet 37
In this math worksheet, students sketch the regions that give rise to the integrals. Then rewrite them as double integrals with the integration order reversed.
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Cubic Approximation
In this calculus and analytic geometry worksheet, students problem solve and calculate the answers to five word problems involving the third degree Taylor polynomial function and the Maclaurin series computation.
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Integration
In this college level calculus activity, students evaluate the given integrals. Problems include trigonometric and logarithmic functions. The two page activity contains twenty-six problems. Answers are not...
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Graph Of The Derivative
Students engage in a lesson that is concerned with defining and drawing the graph of a derivative. The lesson includes a definition and examples to lead them away from any misconceptions. They graph derivatives using examples that are...
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Definition Of The Derivative
Students engage in a lesson that is concerned with the concept of a derivative. They define the concept of a derivative and then complete an assignment that is included in the lesson. Students then graph the derivative and draw its...
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Distance, Velocity, and Acceleration
Learners engage in a lesson that is concerned with the measurement of distance, velocity, and acceleration with the use of derivatives. They follow examples given in the lesson to compute the velocity and acceleration for a displacement...
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Compund Interest and Quiz on Logs
Students discuss compound interest and formulas for compound interest. They listen as the teacher describes continuous compounding and derivations. Students work problems involving compound interest. They compute the effective annual...
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Worksheet 9 Practice Test 1
In this math instructional activity, students find the solutions to the differential equations. Then they examine the group of equations in order to determine the ones that are linear.
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Coffee: Differential Equation
In this differential worksheet, students read a word problem and write a differential equation and solve it. They draw the slope field for given problems. This two-page worksheet contains 9 multi-step problems.
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Worksheet 15 Computer Lab
In this math worksheet, students discuss the natural frequency ω0 of the system and how it is the number of oscillations of the spring in 2π units of time.
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Population: Logistically Speaking
In this population worksheet, students read word problems relating to population growth. They write the problem as a differential equation, create models and graphs of the solution. This three-page worksheet contains 10 multi-step...