Mathematics HL IA (Grade: 7)View Elena's Full Store
본 문서는 2019년도 IB에서 모더레이트 된 후 7점을 받은 Mathematics HL IA입니다. Math IA는 고득점 포인트만 제대로 짚어주면 7점을 받기 어렵지 않으나 많은 학생들이 고득점 포인트를 제대로 잡아주지 않아 7점을 놓칩니다. 제 IA의 구성과 내용을 참고하시고 각 Criterion 에서 고득점 포인트를 잡는 방법을 벤치마킹하신다면 좋은 점수를 받으실 수 있을 것입니다. 제 IA를 통해 Math 파이널 점수 고득점의 열쇠인 Math IA에서 좋은 점수를 받으셔서 Math 파이널 점수 고득점으로 이어지기를 기원합니다.
Title: Investigation in Taylor series
Aims: 1) Investigate in how Taylor series is used in graphic display calculators through its proof and applications and 2) investigate in the approximation error produced by Taylor series.
My interest in Taylor series arose when I became curious of how our graphic display calculators actually calculate a value when we plug-in an value into a function. As a calculator would not be able to have every single value for any function, there must be an algorithm that the calculator uses to calculate functional values. I searched up what kind of calculations our graphic calculators are actually doing, and what I have found was the marvelous series – Taylor series.
A Taylor series is “a series expansion of a function about a point” (Abramowitz). What our calculators do to calculate a functional value is that, they approximate a function into this Taylor series give approximate values when we input a value. I became curious of the explicit process ‘how’ this Taylor series is actually used and how reliable it is to use to calculate any functional value on the calculator. Therefore I developed my aims of this exploration: 1) Investigate in how Taylor series is used in graphic display calculators through its proof and applications and 2) investigate in the approximation error produced by Taylor series.
- 총 페이지수: 13 pages
- 과목명: Mathematics
- 주제: Investigation in Taylor Series
- The file is in PDF format.
Mathematics HL IA (Grade: 7)