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100B Winter 2024


Instructor: James McKernan
Office: APM 6260, Tel. (858) 534-6347
Email: jmckernan [at] math . ucsd . edu
Lectures: TH 12:30-1:50, WLH 2111
Office hours: T 2:30-4:30
Teaching Assistant: Felipe Castellano-Macias
Email: fcastellanomacias [at] ucsd . edu
Office hours: T 56:30-7:30 , 3:50-4:50
Teaching Assistant: Jacob Keller
Email: jjkeller [at] ucsd . edu
Office hours: W 11-1

COURSE DESCRIPTION

Second course in a rigorous three-quarter introduction
to the methods and basic structures of higher algebra. Topics include: rings
(especially polynomial rings) and ideals, unique factorization, fields; linear algebra
from the perspective of linear transformations on vector spaces, including inner
product spaces, determinants, diagonalization. (Students may not
receive credit for both Math 100B and Math 103A.)

Prerequisites: Math 100A

Text Book: Abstract Algebra, by I. N. Herstein

Model answers to the first midterm
Model answers to the second midterm
Model answers to the final

RECENT UPDATE

[03.01.2024]  Lectures and Office hours will be on Zoom starting Tuesday March 5th until further notice.

[03.10.2024]  Homework 9: Question 7 (iii) restricted to matrices of determinant one.

[03.10.2024]  The lecture and office hours on Tuesday March 12th will be on Zoom.

[03.10.2024]  Office hours on Tuesday March 12 will be from 10:30-12:20.

[03.10.2024]  The lecture on Thursday March 14th is in person.

[03.10.2024]  There will be in person extra office hours on Monday March 18th 2:30-4:30.

[03.11.2024]  The final will cover lectures 1-9 and the material in lectures 10-15 will be extra credit.