IB Math HL IA (7점 만점 획득)

본 문서는 2020년 Math HL IA입니다.
IA 주제는 Fourier Transform with sound waves 이고, 파이널 스코어 7점을 받은 IA 입니다.

현 Math AA/AI 과정과 IA 관련은 IB 특성 상 큰 차이는 없으므로 도움이 되리라 생각합니다.

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Introduction

Fourier transform is one of the most important tools in mathematics and engineering. The main idea of Fourier transform is to take any signal (a wave) and decompose it into the frequency components that the signal consists of. Fourier transform is fundamentally based on another mathematical discovery, Fourier Series. Without the knowledge Fourier series, the Fourier transform is not possible.

Fourier Series is a mathematical discovery by Joseph Fourier, and the Fourier Series states that all periodic functions can be presented as a sum of sinusoids in a different frequency. Meaning that any periodic function, whether it is simple or complex, can be expressed as a sum of sine and cosine functions.

The expression above is the Fourier Series, a mathematical concept that makes Fourier transform possible. The Fourier coefficients 0, , needs to be found using integration and algebra, but in this exploration, the focus is the Fourier transform, thus this step will not be elaborate…

• 총 페이지수: 16 pages
• 과목명: Mathematics
• 주제: Fourier Transform with sound waves
• The file is in PDF format.