Linear algebra/Calc III before ODE?

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The discussion centers around the importance of having a background in linear algebra (LA) and vector calculus before taking an Ordinary Differential Equations (ODE) course. Participants share their experiences, noting that while some schools do not require LA as a prerequisite, having this knowledge significantly eases the learning process in ODE. Many express that LA concepts are integral to understanding the theory behind ODE, even if not directly applied in solving equations. Some individuals are currently balancing ODE with other calculus courses, contemplating whether to prioritize LA before ODE to avoid additional workload and enhance comprehension. Overall, the consensus emphasizes that a solid foundation in LA is beneficial for success in ODE courses.
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I'm curious how many people have taken a calculus course that invokes vectors and/or linear algebra before starting ODE? I did neither, as my school did not require it, and the tail end of ODE is excruciating because we are hitting on vectors and topics from LA that I do not have. So in addition to learning ODE, I am now working to hit those topics too. Just curious what others' experience has been...
 
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I thought Linear Algebra was more complicated than all of the calculus courses. I am not sure, I'm working on learning calculus myself on Kahn Academy and i skipped formal Geometry and Trig in high school. What is ODE?
 
ODE = Ordinary Differential Equation

I took linear algebra and vector calculus before ODE. However, my school only requires linear algebra as prerequisites before taking a course in ODEs.

I did not use vector calculus in the ODE course I took but plenty of linear algebra. In hindsight, the ODE course would have been much more work without having taken a course in linear algebra. It is odd your school does not require linear algebra as a prerequisite.
 
I took LA + calcIII prior to the differential equations -- ODE + PDE -- course I'm taking now
 
I'm currently doing Calc III and ODE and plan on doing LA next semester. I didn't need any Calc 3 stuff (except maybe a bit of partial derivatives) but LA is a huge part of ODE.

I didn't need to know any LA to solve any equations for ODE (except finding determinants) but the entire theory is linked to LA. I wish I could have done LA before ODE but LA is a extra class for me while ODE is a prereq to one my major classes (circuit analysis)
 
I'm surprised too. It seems like a lot of extra work to learn the section we are on now...and I don't kid myself, since I don't have the LA background, I am sure I don't have as deep of understanding on current topics as I would if I'd had it already.
 
Hi Cue928 :) Thanks for starting this thread. I'm finishing CalcII now and was going to take differential equations over the summer. Now I'm wondering if I should just do Calc III over the summer and differential equations in the Fall. I'll keep following this thread. Thx again!
 
Depends on how your calc sequence is divided up. We are not exposed to vectors until C-3, which is a prereq to LA. Depending on what your prereqs are for LA, I'd say based on my experience that it is more important to have LA than anything else.
 
Vectors will be in calcIII for me too. Thanks for the advice!
 
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