Mathematics HL IA (Grade: 7)

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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.

 

[본문내용]

I. Introduction

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. 
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Mathematics HL IA (Grade: 7)

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