Curated OER
Worksheet on Power Series
In this function worksheet, students identify the interval of convergence and write differential equations. This two-page worksheet contains five multi-step questions.
Curated OER
Intervals of Convergence Power Series
In this interval of convergence worksheet, students identify the interval of convergence and apply the absolute ratio test. This two-page worksheet contains fourteen problems.
Curated OER
Error and Power Series
In this college level calculus activity, students compare two series to compute the error given the number of terms added. Students write the Maclaurin and Taylor series for the given functions. The two page activity contains seven...
Curated OER
Taylor Series
In this calculus worksheet, students solve various functions for the Taylor Series using a variety of solving methods including the double angle formula, partial fractions, and u substitution. There are 8 questions.
Curated OER
Power and Maclaurin Series
For this calculus worksheet, students solve 4 problems by finding the Power and Maclaurin series for different terms. They take the derivative and simplify functions.
Curated OER
Matter and Motion
In this matter and motion worksheet, students solve 4 different problems that relate to determining the matter and motion of a function problem. First, they find the limit of a as n to infinity and then, determine whether each series...
Curated OER
Worksheet 23
In this math worksheet, students find two power series solutions to Airy's equation. Then they find the radius of convergence for the solutions.
Curated OER
Discussion Sheet 8
In this math learning exercise, students examine the series and determine if they converge or diverge. They also find the interval of convergence for each power series.
Curated OER
Questions over Chapter 12: Calculus and Analytic Geometry
In this calculus question worksheet, students read calculus questions by their peers. The students attempt to teach each other by answering the written questions. Questions cover limits, test for convergence, approximation, interval of...
Curated OER
Worksheet 13
For this math worksheet, students define how for a given value of x, the series S(x) converges. Then they prove how convergence can be absolute.
Curated OER
Worksheet 10 - Spring 1996
In this math worksheet, students investigate how a series can apply the law of convergence. They also test the functions using convergence.
Curated OER
Worksheet 12 - Spring 1996
In this math worksheet, students consider a series and test to see if the law of convergence applies or not. Then they calculate the Taylor series about x = 0 for the trigonometric functions f(x)=sinx and g(x)=cos.
Curated OER
Worksheet 21
For this math worksheet, students find the interval convergence of the series. They also practice writing a series and the functions. Students find the Taylor series about zero.
Curated OER
Worksheet 22
In this math worksheet, students determine using geometry the radius of convergence of the Taylor series centered at x0 = 0 for the function
Curated OER
Worksheet 16 Practice Exam 1
In this math worksheet, students consider the Taylor series and the Fibonacci sequence. They define the interval of convergence of the Taylor series.
Curated OER
Integration Review
In this algebra worksheet, 11th graders solve a series and identify if the series will diverge or converge based on n equals. There are 5 questions.
Curated OER
Worksheet 14 - Spring 1996
In this math learning exercise, students Find the interval of convergence of the power series. Special attention should be paid by checking the endpoints.
Curated OER
Worksheet 30
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.
Curated OER
Worksheet 13 - Derivative
In this derivative of a power worksheet, students compare derivatives of functions, and graph functions. This one-page worksheet contains five multi-step problems.
Curated OER
Worksheet 11 - Intervals
In this interval worksheet, students write a geometric series for the derivatives of a function. Students determine the values of x and where it may converge. This two-page worksheet contains five multi-step problems.
Curated OER
What Happens on Average
Fifth graders are introduced to convergence of sequences based on averaging previous terms in the sequence. The power of the "fill-down" function in spreadsheets is exploited. By using various starting numbers, and inferring the limit,...