Differential Equations Prerequisites

AI Thread Summary
Prerequisites for a Differential Equations course typically include Calculus I and II, with some programs also recommending Multivariable Calculus and Linear Algebra. While some students may have a background in Calculus AB and BC, understanding eigenvalues from Linear Algebra can enhance comprehension of linear differential equations. Introductory courses may not require knowledge of eigenvalues, but grasping the underlying theory benefits from a solid foundation in Linear Algebra. Students can learn necessary concepts independently if not covered in class. Overall, while basic calculus is essential, additional coursework in Linear Algebra and Multivariable Calculus is highly beneficial for a deeper understanding of differential equations.
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What are the Prerequisites for taking a Differential Equations course? I am thinking of taking it over summer 09'. I have Calc AB, BC (high school) under my belt. Will I be ok?
 
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heh... at my school you need calc I and II. Then you need multivariable calculus, an analysis course, a discrete mathematics class and linear algebra. I imagine, though, that our program is slightly more rigorous.
 
If you can do integrals, derivatives, and find eigenvalues then you can take intro diff eq.
 
Would the OP have done eigenvalues (linear algebra) in Calc AB and BC? I'm not sure what the system's like in the States, but my guess is that it's a no?
 
In my DE intro class, we only NEEDED Calc I-II. You can probably get away with now knowing how to find eigenvalues. If it's not taught in the class ( it was in mine, very briefly ), it's easy enough to learn on your own.
 
While it is not necessary to mention eigenvalues in an introductory course, the entire theory behind "linear differential equations" is Linear Algebra. You can learn how to solve differential equations without it but if you want to UNDERSTAND the subject, you really need Linear Algebra and Multi-variable Calculus as pre-requisites.
 
Yeah if you don't know how to find eigenvalues, the amount of linear algebra it will take to do so will take a few hours at most.
 
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