What makes one type of mathematical modeling more difficult than the other?

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SUMMARY

The discussion centers on the varying complexities of mathematical modeling across different fields, specifically contrasting mathematical finance with systems biology and pharmacokinetics. It is established that mathematical finance often requires advanced knowledge, such as a Ph.D. in math or finance, due to its rigorous nature, which emphasizes precision. Conversely, fields like systems biology and pharmacokinetics may only require knowledge up to linear algebra, although some advanced forms in these areas can also necessitate a Ph.D. The term "rigorous" is clarified to mean precision rather than difficulty.

PREREQUISITES
  • Understanding of mathematical finance principles
  • Knowledge of systems biology fundamentals
  • Familiarity with pharmacokinetics concepts
  • Basic proficiency in linear algebra
NEXT STEPS
  • Research the various branches of mathematical finance and their educational requirements
  • Explore advanced topics in systems biology that may require a Ph.D.
  • Investigate the mathematical modeling techniques used in pharmacokinetics
  • Study the definition and implications of rigor in mathematical contexts
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Mathematicians, finance professionals, biologists, and students interested in understanding the complexities and educational requirements of different mathematical modeling fields.

dankshu
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I'm guessing it depends on how many factors/how unpredictable a subject is, what is it really? What makes mathematical finance so rigorous- requiring a phd in math/finance- while something like systems biology or pharmacokinetics only requires knowledge up to linear algebra?
 
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dankshu said:
I'm guessing it depends on how many factors/how unpredictable a subject is, what is it really? What makes mathematical finance so rigorous- requiring a phd in math/finance- while something like systems biology or pharmacokinetics only requires knowledge up to linear algebra?
I think you have quite a wrong idea aobut things. There are many forms of "mathematical finance" that do NOT require a Ph.D. and there are many forms of mathematical biology or pharmacokinetics that might well require a Ph.D.

Oh, and "rigorous" has nothing to do with being difficult. To be "rigorous" in mathematics means to be very precise.
 

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