(7/7) Math SL IA: Modeling Change in Carbon dioxide Level Using Different Mathematical Functions

본 문서는 2021년 May session에 최종적으로 제출한 Math SL IA입니다.
주제는 modelling change in carbon dioxide level using different mathematical function입니다.
Linear, exponential, trigonometric function으로 equation을 modelling한 IA입니다.

[본문내용]

Introduction

As a student taking Environmental Science and Societies course, I am interested in global warming and climate change, since those are one of the most serious environmental issues globally, so I often search Internet about global warming and climate change. While researching, I found an interesting report called ‘The Stern Review’, which is a 700-page report written by an economist Nicholas Stern, discussing the effect of global warming on the world economy. The report states that before the industrial revolution level of carbon dioxide in the atmosphere was 280 parts per million (ppm), while the current level is 430ppm. The report also mentions that the level of carbon dioxide should be limited to 450-550 parts per million (ppm), and anything higher than 450-550 ppm would substantially increase risks of very harmful impacts, such as reduced global food production, species extinction, rise in sea level, and serious natural disasters such as drought and flooding, which would cause significant economic cost (Hilary O, 2006).

After reading the report, I became curious about the problem: What are the trends in carbon dioxide level in the atmosphere? Are trends of carbon dioxide level in the earth’s atmosphere before and after Industrial Revolution significantly different? If level of carbon dioxide follows the trends, when the earth’s carbon dioxide level limit will be reached? To find answers for this question, I decided to model the trends in carbon dioxide level in the earth’s atmosphere in different time periods (before and after Industrial Revolution), and use the modeled equation to predict when the earth’s carbon dioxide level limit (550ppm) will be reached.

Aim

To model change in atmospheric carbon dioxide level using different mathematical functions in different time periods

To investigate when the earth’s carbon dioxide level limit (550ppm) will be reached

Method

This research was conducted through several steps. First, I collected data of carbon dioxide level before and after Industrial Revolution. Then I plotted graph of change in atmospheric carbon dioxide level to identify trends in carbon dioxide level. Then I modeled the graphs using different mathematical functions such as sinusoidal, exponential, and linear function to find out equations that can represent carbon dioxide level at certain year. Lastly, I used the modeled equations to predict when will the earth’s carbon dioxide concentration reach carbon dioxide level limit (550ppm), by substituting the carbon level limit (550ppm) into the equations and solving algebraically…

• 총 페이지수: 16 pages
• 과목명: Mathematics
• 주제: Modelling change in carbon dioxide level using different mathematical function
• The file is in Word format.