Thanks for the replies folks, it's becoming more clear to me. I think I'll have to go over the proof of the fundamental theorem again after it's had time to sink in a bit, but I can solve problems now without feeling as if I'm pulling this out of a bag of tricks!
Hi folks! I've taken Calculus I and Calculus II, and I'm honestly not that bad at calculus but there's one thing I never quite got which really troubles me. How does one go about evaluating the derivative of an integral with a variable limit of integration?
Now, I realize that you're...
Hmmm... I'm a first year undergrad, so perhaps the systems in which eigenvalues have significance are yet to be studied? By that I mean that all of the physics and engineering courses I've done so far rely mainly on basic calculus and not differential equations. Does this seem like a...
Hi folks! I wasn't sure where to put this... so I put it here! I'm wondering if there is a physical interpretation/significance of the eigenvalues for a system? I've had people tell me things like "they're the basic solutions to the system" but I just don't quite see what they're saying...
Wow, thanks for all of the responses! I think that I might expand myself this summer with some real analysis and graph theory to complement my course content. If there's one thing that's got me about my math courses this year is the rigor involved... absolutely everything is proved as it is...
I guess it depends on which programming language you're using, as most programming languages have built in functions which allow you to generate pseudo-random numbers using the time as a seed value. If you're looking for an algorithm in general, check out the wikipedia article and follow the...
Hi Folks!
I'll start by introducing myself a little bit, as it leads into my question. I'm finishing my first year of a program called Engineering Science at the University of Toronto, it differs from other engineering programs in its emphasis on rigorous mathematics and basic science as...
It is the side view of the chair, showing the supports used. The dotted line is just an axis of symmetry. I guess stool is a better word for this structure, if that helps.
I know its an odd design for a chair but we were only allowed using corrugated cardboard, and so a normal design could...
I haven't actually heard of the term node used in this context. We went over stress/strain pretty briefly, so I don't have much of a knowledge of this stuff yet. Would you mind elaborating a little bit?
Your problem is that air resistance is in the direction opposite to the velocity of the object, ie down. Since gravity is also acting in the down direction the two forces have the same sign...so if gravity is negative, so's the acceleration due to wind resistance.