Calculus Project Ideas: Chemistry Applications

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SUMMARY

This discussion focuses on project ideas for applying calculus in chemistry, specifically within a life science calculus two class. Participants suggest exploring enzyme kinetics, particularly the metabolism of ethanol in humans, and the application of rate laws to chemical reactions. Additionally, the use of partial differential equations (PDE) to model biological interactions, such as predator-prey dynamics, is recommended. Titration experiments, including the analysis of weak acid/base reactions, are also proposed as viable project topics.

PREREQUISITES
  • Understanding of calculus concepts, specifically derivatives and integrals.
  • Familiarity with chemical kinetics and rate laws.
  • Knowledge of enzyme kinetics and its relevance in biological systems.
  • Basic principles of titration and graphical analysis of chemical reactions.
NEXT STEPS
  • Research enzyme kinetics and its mathematical modeling in biological systems.
  • Learn about the application of rate laws in chemical reactions and their derivation.
  • Explore partial differential equations (PDE) in biological contexts, particularly predator-prey models.
  • Investigate titration techniques and their graphical analysis for chemical endpoints.
USEFUL FOR

Students in life sciences, particularly those studying calculus and chemistry, as well as educators seeking project ideas that integrate mathematical concepts with chemical applications.

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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