Worksheet
Curated OER

Taylor Series: Natural Number

For Students 9th - Higher Ed
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.
Worksheet
Curated OER

Worksheet 22

For Students 11th - Higher Ed
For this math worksheet, students determine using geometry the radius of convergence of the Taylor series centered at x0 = 0 for the function
Worksheet
Curated OER

Rates of Convergence of Functions and Sequences

For Students 12th - Higher Ed
In this math learning exercise, students explore the rates of convergence for functions and sequences. They also practice using Taylor series approximations.
Lesson Plan
Curated OER

Taylor Polynomials

For Teachers 10th - 12th Standards
Pupils graph Taylor polynomials in this calculus lesson. They observe the graphs for the expansion of Taylor polynomial functions and use the Ti calculator to help create visuals of the graphs.
Worksheet
Curated OER

Worksheet 17

For Students 11th - Higher Ed
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.
Worksheet
Curated OER

Numeral Analysis: Rate of Convergence

For Students 11th - 12th
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.
Worksheet
Curated OER

Perturbing Functions and Introduction to Matlab

For Students 11th - Higher Ed
In this math worksheet, students practice using the program of Matlab and apply them while using functions. They practice writing equations in truncated form.
Website
eFunda

Taylor Series Expansions of Inverse Hyperbolic Functions

For Students 9th - 10th Standards
This site gives the student the Taylor Series expansions for the various Inverse Hyperbolic Functions. The site has links to related topics.
Activity
Northeast Parallel Architectures Center, Syracuse University

Npac Reu Program: Taylor Series Methods

For Students 9th - 10th
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.
Handout
Math2

Math2.org: Series Expansions

For Students 9th - 10th
A thorough review of calculus series. Links direct the student to the basic properties of series, as well as to explanations and examples of convergence tests in series. The expansions for exponential, logarithmic, and root functions and...