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econyun · 10-10-2006, 02:35 AM

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.

10-10-2006, 02:35 AM	#11 (permalink)
econyun Within my grasp! Join Date: Oct 2006 Posts: 278	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.