Order of systems/signal classes important?

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flemmyd
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So I'm a physics student interested in taking some systems/signals classes through the EE department at my school. There are 3-4 separate classes I'm interested in taking:

continuous systems/signals
discrete systems/signals
digital signal processing
digital signal processing lab

I'm not an EE major, so I can't take the class in the usual order (as above).
All I'm asking is if the order matters. I'm stuck between two course orders

1. continuous systems/signals -> discrete systems/signals -> graduate and learn DSP on my own/job/gradschool
2. discrete systems/signals -> digital signal processing -> continuous systems/signals & digital signal processing lab (maybe this class)

I just don't want to do route 2, get into DSP class and be confronted with lots of stuff from the continuous systems. I'm also curious how useful continuous systems are. I've tried looking up examples via google, but all I've ever seen was "an example of continuous systems is the AC outlet".

Lastly, how useful would it be to take a class in statistics/engr statistics if I went into signals? I would still have to take stat mech (at the same time as the DSP class if route 2/before any systems class if route 1).
 
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bump? this being an EE subforum, i figure everyone would have SOME experience with signal processing...