CX wrote:I'm an ME major too, but though I've been at this for six years, I have no solid graduation date in sight. The maths are killing me. This fall I'm retaking Calc III and Diffy Q for the third time.
Calc III can be a bitch. My 3D exam was like a 68 and brought the rest of my average down, otherwise I might have had an A. But i'm a math major, so ya know, I'm supposed to like it. I actually had a weird resurgence this past year of stuff I'd learned in Diff EQ and Calc III in various classes, both math and non-math... Integration by Parts and geometric integration, multiple integration, and something else... some of those weird things you learn in math that yo never think you'll ever need to use again, yeah, they came back. But admittedly one of the courses was Statistics. What the other was has totally slipped my mind... I can't even really remember what I took last semester... hm...
Oh PDE! We used lots of the stuff you learn in ODE in PDE because often times the goal was to manipulate a PDE into looking like an ODE so that we can use some basic method to solve it... and it made me realize how little I could remember things like integrating factors and um... well, separation of variables is pretty easy to remember. I took Calc I and II in highschool and then III freshman year in college so it was a little different for me -- sometimes easier, sometimes harder -- since they designed the Calc III course to follow THEIR calc I and II. Sometimes I knew more than everybody else becuase something in Calc III we'd have already done in I or II, but often times I knew less because there would be something we didn't cover in our Calc I and II that they did.
Long story short: Calc I and II are a bitch in college, if you're going into the sciences (I don't even know if we have any highschoolers here...) but if you think you might have to take calculus in college... TAKE IT IN HIGHSCHOOL FIRST! The learning environment is 10x more conducive to picking it up.
Ok that's my rant. Did I mention I love QM? It's a math nerd's dream: matrix algebra, complex analysis, tensors, calculus, and functional analysis allllllll wrapped into one discipline. I've often said Quantum Mechanics was my most difficult math class ever