Retribution said:
If I am struggling with introductory stuff (mechanics), how would I expect to do well in upper year classes? I'm sure the majority of the students taking those classes found mechanics to be a joke and breezed through it.
I hated intro mechanics. It was boring stuff, especially since my professor was kind of nuts. You can't really do much with intro mechanics, and the theory is very limited in the intro course.
For the record, just because you're not doing well in mechanics doesn't mean that you'll do poorly in further subjects. Physics is a broad subject. You don't have to be good at one topic to be good at another. It really depends on your interests.
For example, you don't have to be good at geometry to master calculus, even though geometry is usually presented before calculus.
Retribution said:
Last time, I was 4% below the class average (1% above it before the curve).
That's not terrible. That means that you're ahead of just less than half your class.
Retribution said:
I'm still kind of shocked at how fast paced university is. There doesn't seem to be any time to actually allow students to master concepts before moving on to more advanced ones. For example, when I spent a few days practicing dynamics problems and slowly mastering the concepts, I fell behind like two chapters (momentum and introduction to energy). It's as if my prof expects the entire class to understand an entire chapter in one day and to do every difficult problem he could give on that chapter.
The point of an intro class isn't to let you master something. Anyone can master anything given an infinite amount of time. The point of an intro class is to -introduce- you to basic physics so that you can master it in the future when you actually need it.
For example, you don't master sight-reading a piece of sheet music before beginning to play on an instrument. You learn how as you go along.
Retribution said:
If I try to change my study habits to work "smarter" and not as hard, I feel like I am getting lazy and thus should deserve a bad grade if I don't work hard enough.
If you feel like you understood the material, there's no reason to feel like you're lazy. If you're washing your hands and after one minute, you have already washed off all the dirt and used soap to kill the germs, you don't have to feel lazy because you didn't wash for five minutes straight.
twofish-quant said:
Just as a point of reference, I have a Ph.D. in astrophysics.
So what? You're still just another person who is on the internet who is replying to a thread.
twofish-quant said:
I'm a very visual person.
And I'm not.
twofish-quant said:
That's how it is in most chemistry textbooks. However, if you work the equations, you'll find that there's no definite border like a cloud implies. If you imagine a cloud with borders, you're somewhat cheating yourself.
twofish-quant said:
There's a beautiful set of books by Ralph Abraham in the Visual Mathematics Library.
I know that there are people who sit down and think of how to visualize everything. However, the advice I was trying to give was to move on if the visualization of something isn't immediately obvious (or if its so obvious that it's unnecessary), because it's really pointless to try and visualize everything
in intro mechanics.
twofish-quant said:
By symmetry you wouldn't go north or south. At that point it's a 1-d problem to see if you will slide left or right. If you start off with zero velocity the only force is straight down, and so you wouldn't move in any direction.
Now let's change the problem. I nudge you so that you are moving north. What happens next. The first thing that I'd do is to figure directions. Which direction would I slide?
The center of mass in a system of bodies acts as though the mass moving is concentrated at that point. If you were at rest and you nudged me, you'd have to slide in the opposite direction as I'm moving. (You said you pushed me north, so you'd have to be moving south) The center of mass of you and me will fall into the Earth as though there were a hole in the earth.
If there is no friction, then the center of mass of you and me would oscillate back and forth within the Earth as though it were falling through the Earth and emerging out the other side.
If there is finite friction, then we'd eventually stop somewhere before colliding with each other on the other side.
twofish-quant said:
This somewhat amuses me. It's impossible to prove that visualization can
never be confusing, yet you say it with such certainty.
twofish-quant said:
I've found it better to try to avoid numbers and complex math as much as possible. Complex math can get you into a lot of trouble when you start focusing on the math and lose site of what is going on. This can have huge consequences.
Look. Everyone is different. The TS already said that visualization isn't his main problem. What are you trying to accomplish by reviving this subject? Convince me that my views are somehow "wrong"?
Just give the topic a rest. The thread is about the TS and his troubles with school. Just give him your advice, and don't go on tangents. I know it's somewhat hypocritical, but whatever.
On a side note, I never really understood why people make these kinds of topics. You can't solve a problem by just talking about it.
If the TS needs help with specific questions, then he should be asking about those questions, not about his performance in general. We don't know the TS specifically. We don't know his personality, his working style, what exactly he's having trouble with, etc. The best we can do is guess around generalizations and give the same advice as we give everyone else.