Curated OER
Taylor Series and Taylor Polynomials
In this math learning exercise, students solve problems that focus upon the use of the Taylor Series and Taylor Polynomials. Then they substitute and differentiate each equation.
Curated OER
Introduction to Taylor Series
In this Taylor series worksheet, students determine the difference between a Taylor series and a Taylor polynomial. They solve function problems. This two-page worksheet contains seven problems.
Curated OER
Applications of Taylor Polynomials
In this math worksheet, students investigate the applications of using Taylor Polynomials. Then they use the derivative definition of a Taylor Series to compute the popular functions.
Curated OER
Rates of Convergence of Functions and Sequences
In this math activity, students explore the rates of convergence for functions and sequences. They also practice using Taylor series approximations.
Curated OER
Worksheet 17
In this math worksheet, students practice graphing functions and define the domain. Then they use Lagrange's Theorem to estimate the error involved in using the two Taylor polynomials.
Curated OER
Worksheet 18 - Spring 1996
In this math worksheet, students practice finding the function while practicing using the Taylor series. Then they compute the second integral by parts.
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
Error and Power Series
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...
Math Medics
S.o.s. Math: Taylor Series
This lesson details the taylor series with a general description, formulas, and an explanation of its usage in mathematics. Content also includes a focus on the Taylor series as limits of Taylor polynomials, including two examples.
University of St. Andrews (UK)
University of St. Andrews: Brook Taylor
This University of St. Andrews page offers an excellent biography on Brook Taylor, an English mathematician and physicist (1685-1731.) Discusses his life and his contributions to these academic fields.
Texas Instruments
Texas Instruments: Exploring Taylor Series
In this Computer Algebra System (CAS) activity, students explore the Taylor's series. They investigate the approximation of numbers in sequences and series and find their interval of convergence using various methods.
Northeast Parallel Architectures Center, Syracuse University
Npac Reu Program: Taylor Series Methods
This Northeast Parallel Architectures Center at Syracuse University site proivdes a general overview of the Taylor series methods, including a focus on the Taylor series algorithm.
Paul Dawkins
Paul's Online Notes: Calculus Ii: Series and Sequences
The resource examines sequences and infinite series. Topics investigated are power series, convergence, comparison test, integral test, ratio test, and Taylor series. Class notes, definitions, and examples with detailed solutions are...
Math Open Reference
Math Open Reference: Taylor Series and Polynomials
Learn about Taylor series and polynomials with this helpful reference tool. Provides a detailed definition and examples that enhance further explanation. Includes links to related topics.
Wolfram Research
Wolfram Math World: Taylor Series
This page from Mathworld.com contains extremely in-depth information about the Taylor series and its derivation. Definitely not for the beginner, but contains an excellent proof.
Other
Brno Univ. Of Technology: Modern Taylor Series Method
This site provides a detailed overview of the modern Taylor series method, including a focus on the computer simulation language TKSL/386.