Math 103B (modern algebra II)

Monday 8 January: Introduction to course; Rings: definition and examples
Wednesday 10 January: Rings: more definitions and examples
Friday 12 January: Basic properties of rings; subrings
Monday 15 January: No lecture (MLK day)
Wednesday 17 January: Zero divisors; integral domains
Friday 19 January: Fields
Monday 22 January: ideals
Wednesday 24 January: factor rings
Friday 26 January: prime and maximal ideals
Monday 29 January: maximal ideals
Wednesday 31 January: ring homomorphisms
Friday 2 February: the first isomorphism theorem
Monday 5 February: The Chinese Remainder theorem
Wednesday 7 February: Subrings of fields
Friday 9 February: Exam 1
Monday 12 February: Field of fractions of an integral domain
Wednesday 14 February: Division with remainder
Friday 16 February: Polynomials in one variable over a field
Monday 19 February: No lecture (Presidents Day)
Wednesday 21 February: The third isomorphism theorem
Friday 23 February: Third isomorphism theorem (continued); irreducibility of polynomials
Monday 26 February: irreducible polynomials over a field
Wednesday 28 February: Unique factorization of polynomials
Friday 1 March: Review
Monday 4 March: Exam 2
Wednesday 6 March: Vector spaces
Friday 8 March: Vector spaces; field extensions
Monday 11 March: linear algebra; splitting fields
Wednesday 13 March: splitting fields
Friday 15 March: splitting fields; finite fields

Homework is due by 10:00pm Pacific time on Gradescope on the days listed below