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I mean, as far as I know, what is usually intended with the word “proof”.</p>
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Well, I agree with this, but it sounds like you had the engineers’ service course. Did you never do any of the existence/uniqueness/etc. kinds of proofs?</p>
<p>No, not really. Our teacher geared the class towards problem solving primarily.</p>
<p>I guess it depends on your teacher tbh.</p>
<p>Brown’s intro applied math courses in ODEs and PDEs contain and test some proofs of existence and uniqueness, among other things. Nothing resembling what the pure math course does, but some basic theorems nonetheless.</p>
<p>Statistics and probability, on the other hand, typically have no proofs, since advanced measure theory is really needed for a rigorous approach. It’s worth noting that applied math graduate students take these advanced proof-based statistics courses here.</p>
<p>Completely forgot about the required stats/prob course. /facepalm</p>
<p>Add that one to my list.</p>
<p>^Right, but that’s something without proofs in most pure math classes, as well.</p>