Do I need differentials before partial differentials?

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Discussion Overview

The discussion revolves around the prerequisites for taking partial differential equations (PDE) and ordinary differential equations (ODE) in a university setting. Participants explore the necessary background knowledge, including calculus and linear algebra, and share personal experiences regarding course selections.

Discussion Character

  • Homework-related
  • Conceptual clarification
  • Debate/contested

Main Points Raised

  • Some participants suggest that a solid understanding of differential equations is necessary before tackling partial differential equations.
  • Others mention the importance of having a grasp of calculus 3 as a prerequisite for these courses.
  • One participant notes that they have signed up for calculus 3 and physics 2, indicating that their university allows concurrent enrollment in calculus 3 and differential equations.
  • Several participants reference the course catalog to confirm prerequisites, with one stating that differential equations are required before taking partial differential equations.
  • There is a mention that ordinary differential equations can be an easier class and potentially a GPA booster.
  • One participant expresses a desire for linear algebra to have been a prerequisite for their differential equations class, citing its relevance in solving systems of linear equations and finding eigenvalues or eigenvectors.

Areas of Agreement / Disagreement

Participants generally agree that a background in differential equations and calculus is important for understanding partial differential equations, but there is some variation in personal experiences and opinions regarding the necessity of linear algebra as a prerequisite.

Contextual Notes

Some participants express uncertainty about the specific prerequisites required by their institution and the relevance of linear algebra in the context of differential equations.

Who May Find This Useful

Students considering courses in differential equations or partial differential equations, as well as those interested in the relationship between linear algebra and differential equations.

Y.E.T.I.
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I know its a ridiculous question, but I'm signing up for classes and I wanted to take differential equations and its currently filled up(for now, people drop all the time at my uni) but saw partial differential equations. I assume you need differential equations before partial differential equations, so I don't know if I should even sign up for that. If I can't take it I'm going to take linear algebra.
 
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yeah, it would make more sense. You also need a grasp of calculus 3.
 
MidgetDwarf said:
yeah, it would make more sense. You also need a grasp of calculus 3.
I've signed up for calc 3 and physics 2. They let us take calc 3 concurrently with differential equations, I was just trying to avoid unneeded filler classes to make it full time. Linear algebra isn't really required but I thought it looked interesting.
 
What does the course catalog say about prerequisites?
 
Vanadium 50 said:
What does the course catalog say about prerequisites?
I need differential equations before partial differential equations, just looked it up. Looks like linear algebra is going to be a choice to take.
 
ODE is a very easy class. Can be a GPA booster
 
Excuse my ignorance, but what does ODE stand for?
 
Ordinary Differential Equations. (as opposed to Partial Differential Equations, PDE)
 
Oh ok. Thanks!
 
  • #10
I get tripped up by TLA's sometimes, too. :-p

(Three Letter Acronyms)
 
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  • #11
If it helps, I wish linear algebra had been a prerequisite for my first class in differential equations. Linear algebra shows up everywhere, and there are big chunks of methodology in differential equations that boil down to solving a system of linear equations or finding eigenvalues or eigenvectors.
 

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