Power Series Teacher Resources

If only there was a reference that listed all the formulas covered in calculus. Luckily, there is. This comprehensive 197-page handbook provides formulas and explanations for all topics in AP Calculus or in a standard college calculus...

Find shortcuts to finding derivatives. The resource introduces the power rule for finding the derivatives of polynomial functions. The fourth video in a series of 31 starts by applying the rule to monomials and then shows how to combine...

Geometry to the rescue. By watching a video, scholars see how geometric concepts help explain derivative formulas: areas of rectangles and volumes of rectangular prisms for the Power Rule and similarity and trig ratios for the Sine Rule.

For this college level calculus worksheet, 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 worksheet contains seven...

In this calculus worksheet, students solve 4 problems by finding the Power and Maclaurin series for different terms. They take the derivative and simplify functions.

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...

For 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.

In this math worksheet, learners 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.

In this math worksheet, students Find the interval of convergence of the power series. Special attention should be paid by checking the endpoints.

Apply the chain rule, the power rule, and the derivative of a trigonometric function all in one. Using a function raised to a power, the 14th video in a series of 31 shows how several rules work together to find a derivative. The...

Use this trick to find the derivative of x raised to the x power. The video shows how to find a complicated derivative by rewriting the function using properties of logarithms. After rewriting the function, the derivative is simply...

For this math worksheet, learners practice finding the function while practicing using the Taylor series. Then they compute the second integral by parts.

In this math activity, students examine the series and determine if they converge or diverge. They also find the interval of convergence for each power series.

Young scholars solve problems using limits in this calculus activity. They calculate the solution to a problem by substituting in positive integers and relate the sequence output as it relates to the limit of a function.

Pupils graph Taylor polynomials in this calculus instructional activity. They observe the graphs for the expansion of Taylor polynomial functions and use the Ti calculator to help create visuals of the graphs.

Learners analyze the derivative of a graph. In this calculus lesson, students identify the different behavior of a graph. They label concavity of the graphs as increasing or decreasing.

Students create and analyze slope fields. In this calculus lesson, students create a visual of differential equations. They use the Ti Navigator to create slope fields.

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.

In this math worksheet, students consider the Taylor series and the Fibonacci sequence. They define the interval of convergence of the Taylor series.

What are the most important things about trigonometric derivatives? The 13th video in a series of 31 highlights three important aspects of trigonometric derivatives, the first being the derivatives of sine and cosine. The second is the...

Save download time—install software now in preparation for future lessons. The R statistical software is a free program used by the Federal Reserve Bank and many companies. Bring the power of the software to your classroom to use in the...

Do you know how the population has grown of your community? Can you predict the population over the next half century? Can we find an algebraic model that matches our data? These along with many more questions can be researched by...

Students explore solar energy, why we use it and how we use it.  In this renewable energy lesson plan students compare active and solar techniques.

Through a step-by-step process beginning with the geometric series, this lesson explains the power series. Content includes a detailed example and a learning exercise.