IB Math SL IA Modeling Change in Carbon dioxide Level Using Different Mathematical Functions

소개글

본 문서는 2021년 May session에 최종적으로 제출하여 7점을 받은 Math SL IA입니다.
주제는 modelling change in carbon dioxide level using different mathematical function입니다.
Linear, exponential, trigonometric function으로 equation을 modelling한 IA입니다.

목차

1. Introduction
2. Aim
3. Method
4. Data Collection
5. Data Analysis
6. Conclusion
7. Evaluation
8. Reference

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

참고 자료

Courtney T. (2017 June 5th). How Are Outliers Determined in Statistics?. Retrieved from: https://www.thoughtco.com/what-is-an-outlier-3126227
Hilary O. (2006 October 30th). Stern report: the key points. Retrieved from: https://www.theguardian.com/politics/2006/oct/30/economy.uk
Holly S. (N.D.). Climate change: How do we know?. Retrieved from: https://climate.nasa.gov/evidence/
Margo G, (N.D.). Exploring Asin(Bx+C)+D. Retrieved from: http://jwilson.coe.uga.edu/EMAT6680Fa09/Gonterman/Gonterman1/Gonterman1.html
Market Business News. (N.D.). What is carbon dioxide? Greenhouse gases. Retrieved from: http://marketbusinessnews.com/carbon-dioxide-greenhouse-gases/
Math is Fun Advance. (N.D.). Exponential Function Reference. Retrieved from: https://www.mathsisfun.com/sets/function-exponential.html
Nikos D, Ross M, (January 25th 2010). Exponential Function Models. Retrieved from: http://dufu.math.ncu.edu.tw/calculus/calculus_pre/node8.html
Paul P. (N.D.). Changes in the Carbon Cycle. Retrieved from: https://earthobservatory.nasa.gov/Features/CarbonCycle/page4.php
Peter G. (2012 January 1st). 2011 Climate Change in Pictures and Data: Just the Facts. Retrieved from: https://www.forbes.com/sites/petergleick/2012/01/21/2011-climate-change-in-pictures-and-data-just-the-facts/#53fe25574a9e
Virtual Mentor, (n. d.). Exponential Functions and Power Functions. Retrieved from: http://sun4.vaniercollege.qc.ca/VirtualMentor/math/LMath/Exponential_and_Power.html