Recent content by Alshia

So let's see if I'm getting this. A derivative: - is the slope of a line tangent to a function at a given point, - cannot contain a third (or more) variable since it's supposed to tell us the instantaneous rate of change of a variable in relation to one other variable, - cannot contain other...

For example, if y=x^2, then the derivative of y is 2x. We write the derivative as either f'(x)=2x or dy/dx=2x. Well, the differential equation is also written as dy/dx=2x. So is there a difference between a differential equation and a derivative? !~Alshia~!

Only if you were studying from the start. If you start studying when exam is near...that would be stressful. Still, I do think we are in charge of our own education. Wish I realized that earlier. Interesting! By the way, is a postulate equivalent to an axiom?

@chiro “Take a look at this if you are in the US (if not look at your local actuarial society website for similar information):” Thank you. “...there will be points that you will just have to learn what you need to without having a chance to ponder those deeper thoughts.” OK. “...so that...

"Ohh, you are talking about the vector z+6, I was talking about only the vector z, as this is what you are trying to find ;)" Yeah I admit I made an ambiguous statement there, though it was implied I was talking about z+6 because the radius I stated was 5. Anyway, not a big deal here. Yes I...

Thank you, chiro(practor), for your response. ...do a mathematics degree with a statistics major, with a financial math course based on stochastic calculus, a few economics subjects, a few programming subjects and maybe an accounting subject. Can you point me to some resources that tells me...

@dimension10: Thanks for the tip! That reminds me about how to solve this using polar coordinates: z + 4i = r(cos ∏ + i sin ∏) = -r z = -r + 4i Since r > 0, a < 0. |z + 6| = |-r + 4i + 6| 5 = √[(6-r)^2 + 4^2] 25 = r^2 - 12r + 52 0 = r^2 - 12r + 27 Using quadratic formula or...

Thank you for your response. I think I can compensate by studying the proof before attending any applied lecture, so that I do not get annoyed when the proof is not provided. Not giving the proof to me is like asking me to use the quadratic formula without knowing how to derive it; it annoys me...

Accidentally double posted due to technical error.

Hey chiro and thank you for the excellent response (from what I can gather). If an undergraduate program is simply called 'Mathematics' does it necessarily imply that it is a Pure Mathematics program? I used the term 'General Mathematics' because in some Mathematics program (like MIT, from what...

Ah, I missed that accidentally. Thanks for the responses.

What are the differences between these three undergraduate degrees? I am contemplating on being an Applied Mathematician. I have a natural desire to solve statistics and probability questions. If I were to come across a real life problem I would try to involve these concepts in solving them...

I find it hard to believe that you have to learn basic arithmetics. Did your high school not cover that?

If there is a (displacement) vector parallel to the x-axis, and this vector is below the x-axis, is the angle (in radians) made by this vector ∏ or -∏? Why? If the vector is above the x-axis, what is the angle? Why?

Regarding question 1(a), thanks. I understand it now. The logic is good. I'm wondering though, can you show me the proof that within an isoceles triangle, there are two equal angles? Doesn't matter if it is a right-hand or not, the results generalize anyway. Also, is it possible to draw z-3...