Taylor Series Teacher Resources
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Twelfth graders examine the Taylor Series. In this calculus lesson, 12th graders explore the representation of a function as an infinite sum of terms calculated form the values of its derivatives at a single point, hence the Taylor Series. Students use a TI-89 to explore the patterns and the command to compute the Taylor series.
Students analyze taylor series for convergence. In this calculus activity, students analyze the graph of a taylor series as it relates to functions. They use the TI calculator to graph and observe the different series.
In this calculus learning exercise, students find the Taylor series for each function adn give the interval where the series converges. The two page learning exercise contains nine questions. Answers are not included.
In this calculus worksheet, students apply the Taylor Series to exponential functions based at either zero or one. There are 2 questions with multiple parts.
In this Taylor Series worksheet, students explore functions with an infinite series. They complete an integral of convergence and explore the degree of the polynomials. This four-page worksheet contains four multi-step problems.
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.
In 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 problems. Answers are not provided.
In this Taylor series activity, students determine the difference between a Taylor series and a Taylor polynomial. They solve function problems. This two-page activity contains seven problems.
Learners investigate sequences and series numerically, graphically, and symbolically. For this sequences and series lesson, students use their Ti-89 to determine if a series is convergent. Learners find the terms in a sequence and series and graph them. Students use summation notation to determine the sum of a sequence.
In this Taylor and Maclaurin series worksheet, students answer 10 questions about Taylor and Maclaurin series. Students find the Taylor and Maclaurin series for trigonometric, exponential, and inverse functions at a given value.
In this polar coordinates worksheet, students graph polar coordinates and determine the values of a given series. This one-page worksheet contains 14 multi-step problems.
Students are introduced to the use of Taylor's polynomials to integrate functions that are not easily integrated by hand. They complete a series of calculations that vary from integrating to finding a Taylor polynomial. Students approximate and interpret rates of change from graphical and numerical data.
Students find patterns in a sequence. In this sequences and series lesson, students use their calculator to find the sequence of partial sums. They graph functions and explore convergent series. Students approximate alternating series.
For this derivative of a power worksheet, students compare derivatives of functions, and graph functions. This one-page worksheet contains five multi-step problems.
In this rate of convergence worksheet, students use three different methods to compute an order of convergence of a function. This four-page worksheet contains approximately 10 problems, with examples.
In this Taylor and Maclaurin series worksheet, students determine the nonzero terms in a series for a given function. They determine the limits and graph the function. This two-page worksheet contains examples, explanations, and six multi-step problems.
In this Calculus learning exercise, students use Taylor's inequality to show that the series converges to sin(x). The two page learning exercise contains seven questions. Answers are not included.
For this interval worksheet, students determine the interval and radius of convergence of given equations. They use the Taylor series to identify points and the radii of convergence. This two-page worksheet contains 8 multi-step problems.
This video gives an excellent overview of the different representations of a complex number. First, Sal reviews a pictorial representation of a complex number as an Argand diagram, then shows how to find the modulus and the argument of a complex number and write a complex number in the form z = r (cos _+isin_), and finally, how to write a complex number in exponential form using EulerÕs relations.
Teaching elastic forces in your physics class is a snap with this resource! Scholars compare the stretch of rubber bands with differing width, then measure the stretch of a spring and calculate force. In a whole-class experiment, wire is attached to the ceiling and stretched by adding weights to the loose end. When the weights are removed, does the wire return to its original length? Materials lists, procedures, background information and assessments are all provided for your convenience.