What math to learn after differential eq. and linear algebra?

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SUMMARY

After completing differential equations and linear algebra, chemical engineering students should consider taking Numerical Analysis to enhance their modeling capabilities. This course is essential for simulating complex processes that are difficult to solve analytically. Additionally, self-study in Partial Differential Equations (PDEs) and Fourier Analysis is recommended for advanced transport phenomena modeling. Exposure to Statistics is also beneficial for understanding statistical process controls in chemical engineering applications.

PREREQUISITES
  • Differential Equations
  • Linear Algebra
  • Numerical Analysis
  • Partial Differential Equations (PDEs)
NEXT STEPS
  • Research Numerical Methods in Chemical Engineering courses
  • Study Partial Differential Equations (PDEs) independently
  • Learn about Fourier Analysis for modeling transport phenomena
  • Familiarize yourself with statistical analysis in process controls
USEFUL FOR

Chemical engineering students, educators, and professionals seeking to enhance their mathematical foundation for process modeling and analysis in engineering contexts.

worryingchem
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Hi, I'm currently studying to become a chemical engineer.
After learning differential equation and linear algebra, I've realized how useful they are in my engineering courses since they make setting up equations and solving them so much easier. So I was wondering if there are other math that would be useful for me to take, like maybe statistics, discrete math, or abstract algebra?
 
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As far as an undergraduate chemical engineering degree is concerned, you don't need any additional math courses.
 
Numerical analysis is a must, it is necessary for simulating processes or solving some advanced models which are very hard or impossible to solve analytically. Most of the modelling done in industry is numerical, not only because of the complexity of some models, but it also saves a lot of time. Still, I also recommend you study basic partial differential equations on your own, maybe even some Fourier analysis, it wouldn't hurt, and it's useful for modelling advanced transport phenomena analytically.
 
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worryingchem said:
Hi, I'm currently studying to become a chemical engineer.
After learning differential equation and linear algebra, I've realized how useful they are in my engineering courses since they make setting up equations and solving them so much easier. So I was wondering if there are other math that would be useful for me to take, like maybe statistics, discrete math, or abstract algebra?
You should get exposed to statistics if nothing else to be familiar with the terms. Process controls involve the use of statistical analysis.

https://controls.engin.umich.edu/wiki/index.php/Main_Page

Check out Section 3 for more information on statistical process controls in a ChemEng environment.
 
I would say your best bet at this point is to focus on ChemE classes (I don't think anyone is expecting you to take anymore math) but if you want to take another math class, like MexChemE said, I would find some numerical analysis/scientific computing class. I would expect any school with an applied math department to offer some flavor of this subject, so it would be best to check in your school's applied math department.
 
Thank you everyone for the advises.
I'll look over these topics and see what I can use as study materials. Also, my school does offer a Numerical Methods in ChemE course and a Numerical Analysis for Mathematical Computer Science course so I'll check these out.
 
PDE's!
 

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