نقاط المكافآت
اكسب نقاطًا من خلال تفاعلك مع المُدرس أثناء الحصة وإجابتك عن الأسئلة، واستخدمها لاحقًا للحصول على خصم عند شراء حصص أخرى.
Lesson Plan: Maclaurin and Taylor Series of Common Functions Mathematics
This lesson plan includes the objectives and prerequisites of the lesson teaching students how to find the Taylor and Maclaurin series representations of common functions, such as exponential and trigonometric functions and binomial expansions.
Objectives
Students will be able to
- calculate Taylor and Maclaurin series representations of common functions, such as exponential, sine, cosine, and binomial functions,
- use Taylor and Maclaurin series of compositions of common functions, such as or ,
- use Maclaurin series to find approximations of specific values of these functions,
- use Taylor and Maclaurin series to approximate integrals of functions such as and find the maximum value of the error in the approximation.
Prerequisites
Students should already be familiar with
- Taylor polynomials and Taylor series,
- Maclaurin series,
- integration.
