Calculus Project Ideas: Chemistry Applications

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    Calculus Project
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Discussion Overview

The discussion revolves around potential project ideas for applying calculus to chemistry, particularly in the context of a life science calculus course. Participants explore various applications of calculus in chemical reactions, enzyme kinetics, and related biological processes.

Discussion Character

  • Exploratory
  • Technical explanation
  • Conceptual clarification
  • Homework-related

Main Points Raised

  • One participant suggests exploring rate laws in chemical reactions, providing a general formula for reaction rates and relating it to enzyme kinetics in biological systems.
  • Another participant proposes using partial differential equations (PDE) to model interactions in biological systems, such as predator-prey dynamics, and suggests incorporating various factors affecting population changes.
  • Titration is mentioned as a potential project topic, with ideas about graphing the results and analyzing derivatives to find endpoints.
  • A later reply emphasizes that enzyme kinetics could be an engaging project topic.

Areas of Agreement / Disagreement

Participants present multiple ideas and approaches without reaching a consensus on a single project direction. Various suggestions are made, indicating a range of interests and potential applications.

Contextual Notes

Some suggestions depend on specific mathematical techniques or biological contexts that may not be universally applicable. The effectiveness of proposed ideas may vary based on the participant's familiarity with the topics.

Who May Find This Useful

Students in life science calculus courses, educators seeking project ideas that integrate calculus with chemistry, and individuals interested in the application of mathematical concepts in biological sciences.

lifesciencesam
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Hello I am in a life science calculus two class and in lieu of a final we can do a project. The problem I am having is coming up with a project. I was just wondering if anyone had any good ideas for applying calculus to chemisty. I have attempted to do something with titrations but the function I came up only worked under one circumstance. Any suggestions are welcomed.
Thanks,
Sam
 
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do some rate laws.

given a reaction say aA+bB----> cC

the rate of the reaction r=-1/a*d[A]/dT=-1/b d/dT=1/c*d[C]/dT

where d[]/dT is the rate of change in the concentration of the starting materials or the products.



since you are in the biological sciences, you could easily relate this to the study of enzymes which are extremely important in living organisms. You could study a chemical reaction that occurs in a biological organism, like what happens to ethanol when humans consume it, try to come up with a rate law, and talk about how things like how liver enzymes affect the rate of the metabolism of ethanol into vinegar. enzyme kinetics are related to chemical kinetics and have been studied a lot so you shouldn't have that much trouble trying to find info on it.
 
lifesciencesam said:
Hello I am in a life science calculus two class and in lieu of a final we can do a project. The problem I am having is coming up with a project. I was just wondering if anyone had any good ideas for applying calculus to chemisty. I have attempted to do something with titrations but the function I came up only worked under one circumstance. Any suggestions are welcomed.
Thanks,
Sam

What "kind" of math (calculus) you want to use in your project?
PDE is often used in biology to solve the problem about spcies vs species, predator vs. prey ... That's pretty cool when you can add some factors like death, diseases, food, environment into the equation and observe what's going on, how the populations of species change ...
Titration is also interesting. You can titrate a weak acid/base, then draw the graph. The take first derivatives/2nd derivatives to find end-points? That what's the sophomore/junior students usually do in quatitative lab.

Hope that there is some ideas that you are interested.
 
Last edited:
enzyme kinetics is always a fun project.
 

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