Interest in Linear algebra and Differential Equations?

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Discussion Overview

The discussion centers on the perceived relevance and applications of Linear Algebra (L.A.) and Differential Equations (D.E.) for a college student studying biology, who expresses a lack of interest in these mathematical subjects. Participants explore potential applications that might appeal to non-math majors, particularly in the context of biology.

Discussion Character

  • Exploratory
  • Conceptual clarification
  • Debate/contested

Main Points Raised

  • One participant suggests that understanding the field of study could help identify relevant applications of L.A. and D.E.
  • Another participant proposes that Linear Algebra is relevant in scenarios involving multiple inputs and outputs, such as in business and engineering.
  • A participant describes Differential Equations as an extension of Calculus, useful for deriving global information from local rates, with applications in predicting future prices in business contexts.
  • One participant mentions that in biology, D.E. could be useful for modeling dynamics of populations and rates of reactions, while L.A. may have limited applications unless involved in computational work.
  • A reference is made to the potential for L.A. to be tied to numerical work in simulations, such as those involving proteins.

Areas of Agreement / Disagreement

Participants express varying degrees of agreement on the applications of L.A. and D.E. in biology, with some suggesting that D.E. has more direct relevance than L.A. However, there is no consensus on the overall interest or applicability of these subjects to non-math majors.

Contextual Notes

Limitations include the lack of specific examples of applications in biology and the varying interpretations of how L.A. and D.E. may be utilized in different fields.

hivesaeed4
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I'm a college student whose been force enrolled in Linear Algebra and Differential Equations. No offence to math lovers but I don't find them very interesting. I study much better in courses which I find interesting so could someone please point out interesting applications of L.A. and D.E. (which would appeal to non-math majors).

Thanks.
 
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What exactly is your field of study? That might help determine what the relevant applications are.
 
Yeah best to follow Muphrid's advice before trying to motivate differential equations. But Linear Algebra might be easier. It would seem to be relevant anytime you have multiple input and multiple output. For instance in business. Engineering. Et cetera. Differential Equations might be seen as one of many extensions of Calculus, and DEQs might be looked at as the effort to take local informations about rates, and try to find global information. In business, you might know the market is changing right now, and that might help you find a future price. If you have multiple outputs, then about halfway through some differential equations, they implement the use of Linear Algebra. This is likely an oversimplification of a real job.

If you don't think you like math, and don't want to go further, you might consider this quarter as a little wax-on, wax-off, like how "Daniel-san" in the first Karate Kid didn't want to wax Mr Miyagi's classic car, he just wanted to learn to fight. It's all helping you become a real winner.
 
Biology.
 
Depending on the branch of biology, differential equations are probably going to be useful for dynamics of populations, rates of reactions, and such. I admit, linear algebra might not be so useful unless you go into maybe computational work--I once had an interest in simulations of proteins, for instance, and matrix operations are pretty much inextricably tied to any numerical work.
 

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