Math 4045/5045: Advanced Algebra I

Fall 2025, Dalhousie University

Time and location: Tuesdays & Thursdays 1:05--2:25 pm in Chase 227.


Office hours: Tuesdays 2:30--3:30 pm & Wednesdays 9--10 am in Chase 314.


Calendar:

Date Topics Covered
Th Jan 8 Field extensions, intermediate fields
T Jan 13 Algebraic and transcendental extensions
Th Jan 15 Extensions of isomorphic fields, building extensions from irreducible polynomials
T Jan 20 The Galois group
Th Jan 22 The fundamental theorem of Galois theory
T Jan 27 SNOW DAY
Th Jan 29 Stable extensions
T Feb 3 Proof of the fundamental theorem of Galois theory
Th Feb 5Splitting fields
T Feb 10
Th Feb 12
T Feb 17 STUDY BREAK -- NO CLASS
Th Feb 19 STUDY BREAK -- NO CLASS
T Feb 24
Th Feb 26 Midterm
T Mar 3
Th Mar 5
T Mar 10
Th Mar 12
T Mar 17
Th Mar 19
T Mar 24
Th Mar 26
T Mar 31
Th Apr 2
T Apr 7