Recent content by acm

Choice 3, I try to proove all of the theorems I need to use and try to understand the definitions that enable me to attempt the proofs. Exercises are great when you are clueless and need to grasp the information to proove the formula.

I'm not brilliant and I'm a math major. I just enjoy maths and work very hard, If I fail all of my courses and bomb out of University I will still do maths regardless. Not terribly motivational, I know, but if doing your best doesn't get you a career in Physics then nothing will.

Exp(x^2) = e^(x^2)? If so Int (Exp(x^2) ) = Infinity.

I've got the 1966 version (Unsure about which edition), looks like a challenge which is great motivation to take the coursework seriously. I find the text to be relevant to the subject in question, So I can't agree with the text being superficial.

Either pump out hundreds of past papers (Make sure your so comfortable with the work you don't get nurves) or make sure you come to the exam fresh (ie Not Tired) and use your time effectively. There is no sure fire method to stop all stupid mistakes, but you can help yourself spot your errors by...

Pure Abstract, I study math to study math.

Do it, then we will listen.

http://www.ies.co.jp/math/java/conics/focus_ellipse/focus_ellipse.html Geometric Proof, Might be worth a look.

I : lnx/x^2 dx I: (-lnx/x) - I(1/x^2) dx I: -lnx/x + 1/x + K

Well, there are millions of Math textbooks and I am certain that you haven't worked through EVERY one of them...

Two unrelated question I need checked. i) Every C-Cycle, C>1, can be written as a product of transpositions. Every permutation of a finite number n>1 of elements can be expressed as a product of transpositions. ii) (Cayley's representation theorem for groups) For every group G is isomorphic to...

Draw a graph first, let the function be y = x + 3^x - 4 and find where this graph cuts the x-axis (That will satisfy the Ineq, Find an approximate area where the graph cuts the axis, so accuracy is paramount.). From here you should have an idea of the kind of answer you'll need. To find a...

Wilson's theorem 1*2*3*...*(p-1) = -1 mod P In case of p= 5 1*2*-2*-1 = 4 = -1 mod 5 , I'm calling the largest term X. 1*2*3...*X*-X*...*-1 = -1 mod P If -X*...*-1 has 2n terms, then X^2 = -1 mod PFails if there is an even prime, This is my first brush with Number theory so be gentle.

Two unrelated questions that I need checked: i) Show that a/b + c/d and an/(bn) + c/d , n is an element of I are equivalent. All denominators are assumed to be nonzero. ii) Prove that, in a ring R, m.0 = 0 for each m in R. i) an/(bn) + c/d = {and + (bn)c}/(bn)d = {and + (b)nc}/(b)nd (I is...

I feel your pain. Keep your head up and keep on working, eventually you will find people who you feel comfortable around.