Math146 - Abstract Algebra II (Galois Theory) - AY2024-2025 spring

Lectures

Date DOW Desc Seq Week Details
01/15 Wed Lecture 1 1 Commutative Rings and Fields
01/20 Mon Tufts 2 No classes: MLK Day
01/22 Wed Lecture 2 2 Polynomial Rings
01/22 Wed Tufts 2 Academic Date: Last day to add a course
01/27 Mon Lecture 3 3 Euclidean algorithm
01/29 Wed Lecture 4 3 Ideals of polynomial rings; gcds
02/03 Mon Lecture 5 4 Irreducibles and unique factorization
02/05 Wed Lecture 6 4 Irreducible polynomials over a field; Fields of Fractions
02/10 Mon Lecture 7 5 Eisenstein’s Criterion; recollections on linear algebra
02/12 Wed Lecture 8 5 Field extensions
02/17 Mon Tufts 6 No classes: Presidents’ Day
02/19 Wed Lecture 9 6 midterm 1
02/19 Wed Exam 6 midterm 1
02/19 Wed Tufts 6 Academic Date: Last day to drop a course without record
02/20 Thu Lecture 10 6 Simple extensions
02/20 Thu Tufts 6 Tufts: Monday schedule
02/24 Mon Lecture 11 7 Degree of extensions and the Tower Law
02/26 Wed Lecture 12 7 Primitive element theorem
03/03 Mon Lecture 13 8 Ruler & Compass constructions
03/05 Wed Lecture 14 8 Ruler & Compass & impossiblity proofs
03/10 Mon Lecture 15 9 The Galois Group and some of its uses
03/12 Wed Lecture 16 9 Splitting fields
03/15 Sat Tufts 9 No classes: Spring Break
03/16 Sun Tufts 9 No classes: Spring Break
03/17 Mon Tufts 10 No classes: Spring Break
03/18 Tue Tufts 10 No classes: Spring Break
03/19 Wed Tufts 10 No classes: Spring Break
03/20 Thu Tufts 10 No classes: Spring Break
03/21 Fri Tufts 10 No classes: Spring Break
03/22 Sat Tufts 10 No classes: Spring Break
03/23 Sun Tufts 10 No classes: Spring Break
03/24 Mon Lecture 17 11 Normal field extensions
03/26 Wed Lecture 18 11 Separable field extensions
03/31 Mon Lecture 19 12 midterm 2
03/31 Mon Exam 12 midterm 2
04/02 Wed Lecture 20 12 The Galois Correspondence
04/02 Wed Tufts 12 Academic Date: Last day to withdraw from a course with W
04/02 Wed Tufts 12 Academic Date: Last day to select Pass/Fail Option
04/07 Mon Lecture 21 13 Linear independence of monomorphisms
04/09 Wed Lecture 22 13 Some results on automorphisms
04/14 Mon Lecture 23 14 The fundamental Theorem of Galois Theory
04/16 Wed Lecture 24 14 Examples of Galois Groups
04/21 Mon Tufts 15 No classes: Patriots’ Day
04/23 Wed Lecture 25 15 Finite Fields
04/28 Mon Lecture 26 16 Transcendence degree; symmetric polynomials
04/29 Tue Tufts 16 No classes: Makeup Day (no classes)
04/29 Tue Tufts 16 Academic Date: Reading Period
04/30 Wed Tufts 16 Academic Date: Reading Period
05/01 Thu Tufts 16 Academic Date: Reading Period
05/02 Fri Tufts 16 Academic Date: Final Exam Period
05/03 Sat Tufts 16 Academic Date: Final Exam Period
05/04 Sun Tufts 16 Academic Date: Final Exam Period
05/05 Mon Tufts 17 Academic Date: Final Exam Period
05/06 Tue Tufts 17 Academic Date: Final Exam Period
05/07 Wed Tufts 17 Academic Date: Final Exam Period
05/08 Thu Tufts 17 Academic Date: Final Exam Period
05/09 Fri Exam 17 final exam
05/09 Fri Tufts 17 Academic Date: Final Exam Period