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Full-Text Articles in Physical Sciences and Mathematics

Raising Student Awareness Of Environmental Issues Via Writing Assignments With Differential Equations, Michelle L. Ghrist Jan 2024

Raising Student Awareness Of Environmental Issues Via Writing Assignments With Differential Equations, Michelle L. Ghrist

CODEE Journal

In this paper, I discuss two environmentally-focused writing assignments that I developed and implemented in recent integral calculus and differential equations courses. These models of carbon storage and PCB’s in a river provide interesting applications of one-compartment mixing problems. The assignments were intended to focus student attention on sustainability concerns while also developing other essential skills. I discuss these assignments and their effect on my students’ technical writing and environmental awareness. Detailed introductory instructions and mostly complete solutions to these assignments appear in the appendices, to include sample student work.


Solar Panels, Euler’S Method And Community-Based Projects: Connecting Differential Equations With Climate Change, Victor J. Donnay Jan 2024

Solar Panels, Euler’S Method And Community-Based Projects: Connecting Differential Equations With Climate Change, Victor J. Donnay

CODEE Journal

How does mathematics connect with the search for solutions to the climate emergency? One simple connection, which can be explored in an introductory differential equations course, can be found by analyzing the energy generated by solar panels or wind turbines. The power generated by these devices is typically recorded at standard time intervals producing a data set which gives a discrete approximation to the power function $P(t)$. Using numerical techniques such as Euler’s method, one can determine the energy generated. Here we describe how we introduce the topic of solar power, apply Euler’s method to determine the energy generated, and …


Population Growth Models: Relationship Between Sustainable Fishing And Making A Profit, James Sandefur Nov 2023

Population Growth Models: Relationship Between Sustainable Fishing And Making A Profit, James Sandefur

CODEE Journal

In this paper, we develop differential equations that model the sustainable harvesting of species having different characteristics. Specifically, we assume the species satisfies one of two different types of density dependence. From these equations, we consider maximizing sustainable harvests. We then introduce a cost function for fishing and study how maximizing profit affects the harvesting strategy. We finally introduce the concept of open access which helps explain the collapse of many fish stocks.

The equations studied involve relatively simple rational and exponential functions. We analyze the differential equations using phase-line analysis as well as graphing approximate solutions using Euler's method, …


Hydropower, Oil Palm, And Sustainability, Fernando Salud '17 Jan 2017

Hydropower, Oil Palm, And Sustainability, Fernando Salud '17

EnviroLab Asia

This reflection touches on the writer’s experiences during the EnviroLab Asia Clinic trip in early 2016 to Borneo, Malaysia and Singapore. The reflection involves two events: a visit to a blockade protesting the construction of a hydroelectric dam and a meeting with the sustainability department of Wilmar, one of the world’s leading palm oil producers. The first event comments on the tension between the need for renewable energy and the destruction of the natural environment and communities due to the particular energy generation technology chosen. This event highlighted the importance of understanding the societal constraints a technology is being installed …


What Does “Sustainable Development” Mean?, Grace Stewart '17 Jan 2017

What Does “Sustainable Development” Mean?, Grace Stewart '17

EnviroLab Asia

A recurring theme throughout the EnviroLab Asia clinic trip to Singapore and Malaysian Borneo was the concept of "sustainable development." In this essay, I explore my own thoughts and concerns regarding this phrase, such as the tension that exists between "sustainability" (the maintenance of resources) and the conventional concept of "development" (which consumes resources and can often wreak environmental destruction). I reflect on this tension within the context of environmental issues faced by the Dayak people in Sarawak--the building of the Baram Dam, and the prevalence of oil palm plantations.


Transformation, Wallace M. Meyer Iii Jan 2017

Transformation, Wallace M. Meyer Iii

EnviroLab Asia

Prior to leaving for Claremont Colleges’ Envriolab Asia trip to Malaysia and Singapore, I was conflicted by the question: Do we have the moral authority to interfere with resource extraction and oil-palm development in SE Asia? At that time, the trip seemed imperialistic. Why should people from Malaysia, Indonesia or any developing SE Asia country listen to a group of liberal arts college faculty from a city where widespread habitat modifications have led to significant loss of native habitats, declines in biodiversity, and changes in how these ecosystems function? Many observations transformed my opinion and have inspired me to advocate …


Institutional Responses To Pressures For Sustainable Palm Oil, Stephen Marks, Justin Lauw '18, Shivang Mehta '19, Fernando Salud '17 Jan 2017

Institutional Responses To Pressures For Sustainable Palm Oil, Stephen Marks, Justin Lauw '18, Shivang Mehta '19, Fernando Salud '17

EnviroLab Asia

As the two leading palm oil producing countries, Indonesia and Malaysia have come under external pressures to limit deforestation and greenhouse gas emissions related to land use conversion for oil palm cultivation. We examine various institutional frameworks that have emerged to mediate these pressures. These frameworks can be distinguished by their geographic scope—domestic, region, and global—as well as by the nature of control—private, non-profit, and governmental. The frameworks have taken the form of sustainability certification systems from non-profit organizations or governments, corporate sustainability policies, or the setting through global or bilateral negotiations of voluntary national targets for limiting deforestation or …