Math 60220 Spring 2026

Course Information

Instructor: Sam Evens sevens at nd dot edu

Course Syllabus 

Texts: 

Class Time: TuTh 2:00-3:15, DBRT 201

Office Hours Tu 1:00-1:50, We 2-3, or by appointment, or after class.

Midterm, tentatively scheduled for Tuesday February 24

Final Exam Tuesday May 5, 1:45--3:45

Additional notes on material:

Notes on Separable Extensions 

Transcendence degree notes, from 2-19 and 2-24 lectures 

Notepads from Lectures:

1-13 introduction to fields 

1-15 Field Extensions 

1-20 Splitting fields, algebraic closures 

1-22 Algebraic closure and separability 

1-27 Notes on Normal Extensions 

Notepad used for zoom class on 1-27 

1-29 Normal extensions, continued 

2-3 Preliminaries for Galois Theory 

2-5 Main Theorem of Galois Theory 

2-10 Main theorem and applications to finite fields 

2-12 Applications of Main Theorem 

2-17 Solvability by Radicals 

2-19 Transcendence Degree 

2-24 Transcendence Degree and Modules 

Additional Notes:

Homework:

Problem Set 1, due 1-20-2026 

Problem Set 2, due 1-27 

Problem Set 3, due 2-3 

Problem Set 4, due 2-10 

Problem Set 5, due 2-17