Can u all plz help..tell me my chance for Phd?

[econyun]

How many real analysis courses are expected to take normally to get in top 10?

One more question..
I wonder what Algebra is.....
At my university, for the Honours students..
we dun need to take Linear Algebra courses...
instead, I took Algebra 1 and Algebra 2
and taking Algebra 3 now...
I wonder if I keep taking Algebra 4 next semester..
if it is useless for my future use...
or if there is other courses that can help me develop in economics..
I would give up Algebra 4 next term...

Here are the course information..

Algebra 1:
Sets and relations. Rings and fields. Integers, rationals, real and complex numbers; modular arithmetic. Polynomials over a field. Divisibility theory for integers and polynomials. Linear equations over a field. Introduction to vector spaces.
http://www.math.mcgill.ca/students/math235.php

Algebra 2:
Linear maps and their matrix representation. Determinants. Canonical forms. Duality. Bilinear and quadratic forms. Real and complex inner product spaces. Diagonalization of self-adjoint operators.
http://www.math.mcgill.ca/students/math251.php

Algebra 3:
Introduction to monoids, groups, permutation groups; the isomorphism theorems for groups; the theorems of Cayley, Lagrange and Sylow; structure of groups of low order. Introduction to ring theory; integral domains, fields, quotient field of an integral domain; polynomial rings; unique factorization domains.
http://www.math.mcgill.ca/students/math370.php

Algebra 4:
Introduction to modules and algebras; finitely generated modules over a principal ideal domain. Field extensions; finite fields; Galois groups; the fundamental theorem of Galois theory; application to the classical problem of solvability by radicals.
http://www.math.mcgill.ca/students/math371.php

Btw, Thx for ur help in explaining my questionS...
thx a lot.

[user_name]

Originally Posted by econyun

How many real analysis courses are expected to take normally to get in top 10?

I don't know, but I'm sure the marginal benefit of taking each additional real analysis course beyond the first one decreases. I think the majority of econ applicants take only one.

The algebra you've taken is abstract algebra which is basically not used in economics (other than set theory and the math logic stuff, which are seen in most proof-based math classes). I think there're better classes to take than Algebra 4. When I asked my econ professor for a recommendation, the first question he asked was, "Did you take Topology?" So I guess that must be a useful class. Other than topology, you can choose to take applied math classes like Optimization/Linear Programming, Numerical Analysis. If you're interested in computational finance, you should take Numerical Analysis and at least one computer science class. I see that you've already taken graduate game theory and a bunch of probability and stats, so probably not much is left for you to take...

Seriously, you're in great shape as far as the math is concerned. You're good even if you wanna go for a PhD in math. College education in Canada is really impressive. You guys actually learn stuff. We have to take a lot of general education crap in the States. I feel lucky that I won't have to compete with you.