MATH 2100 [1.0 credit] Algebra
Introduction to group theory: permutation groups, Lagrange's theorem, normal subgroups, homomorphism theorems. Introduction to ring theory: ring of polynomials, integral domains, ideals, homomorphism theorems. Hermitian forms, spectral theorem for normal operators, bilinear and quadratic forms, classical groups.
Prerequisite(s): i) MATH 2152 with a grade of C+ or higher, or (MATH 2107 with a grade of B+ or higher and permission of the School); and ii) MATH 1800 with a grade of C+ or higher; or permission of the School.
Lectures three hours a week, tutorial one hour a week.
Mathematics and Statistics
Undergraduate Calendar
http://calendar.carleton.ca/undergrad/undergradprograms/mathematicsandstatistics/
MATH 2000 requires C+ in (MATH 1002 (no longer offered) or MATH 2052 ) , or B+ in ( MATH 2007 or MATH 1005 ), and C+ in (MATH 1102 (no longer offered) or MATH 2152 ), or B+ in ( MATH 1107 or MATH 1104 ). MATH 2100 requires C+ in (MATH 1102 (no longer offered) or MATH 2152 ), or B+ in MATH 2107 . MATH 2454 requires C+ in (MATH 1002 (no longer offered) or MATH 2052 or MATH 2007 or MATH 1005 ), and C+ in (MATH 1102 (no longer offered) or MATH 2152 or MATH 2107 ). STAT 2655 requires C+ in (MATH 1002 (no longer offered) or MATH 2052 or MATH 2007 or MATH 1005 ), and C+ in (MATH 1102 (no longer offered) or MATH 2152 or MATH 1107 or MATH 1104 ). MATH 2007 requires MATH 1004 or C- in ( MATH 1007 or MATH 1009 ). MATH 2107 requires MATH 1104 or C- in MATH 1107