<p>right off the bat, i have to say...if you haven't taken any calculus at the college level, and even at that if you haven't taken a proofs-heavy class, then you have no idea what you're saying it's memorization heavy. and especially physics! you're GIVEN almost every single equation you'd ever need on tests via formula sheets. that doesn't make the tests any easier at all.</p>
<p>i'm an electrical engineering major and i'd have to say the three hardest classes i'd ever taken in 3.5 semesters of college are in approximate order of conceptual difficulty:
1) Physics - Electromagnetic
2) Calculus II - Integrals and infinite series
3) Physics - Mechanics and Thermodynamics</p>
<p>and i'm still taking this class, but it's pretty vicious:
4) Math ("Calculus 5" for engineers if you will): Fourier Analysis and Partial Differential Equations</p>
<p>but in terms of time investment and most work? my freshman writing class...kicking out 6-8 page essays every couple of weeks took time. obviously, it's become a lot easier now, but for a freshman who's never had to do something like that before, it was intense. hard though? not really...</p>
<p>thing is...for classes that involve any amount of substantial memorization (i.e. biology, history, art history, music history, etc., all classes i've taken at some time), i'm not able to carry even some of the biggest concepts with me when i leave the class. even if i get an A in the class and really understand and can dissect the concepts at the time, so much of my reasoning and thought process for that time is rooted in memorized entities that once i leave the class, i feel like i haven't really learned all that much. and so this doesn't apply to any sort of class like science or humanities...e.g., i don't remember that much from biology, and at the same time from my philosophy and critical writing classes i've taken away a lot.</p>
<p>the thing about things like math and physics at the higher level is the idea of the proof...the fact that you can experience the discovery of an idea yourself, and that coming to this "discovery" is almost as creative, if not AS creative as any art. and once you've figured that something out (and i suppose this is where the "there's only one answer" thing comes into play), it's very hard to debate the result...a "theory" in math, IMO, is much stronger than a "theory" in, say, political science. especially damning is the fact that you can take something so theoretical like a proof and apply to very real and very important applications. i think it's really hard to appreciate the true beauty (yeah i said it) of math and science until you see the true rigor behind it. in my experience, it's the most challenging stuff i've ever experienced, but at the same time, immensely rewarding.</p>