Math 104C (Number
Theory) - Spring 2005
Professor: CRISTIAN D.
POPESCU -- Lectures: MWF 9:00-9:50am, in SEQUO 147.
Office Hours: Mo.
10:00 - 11:00am and We. 10:00am - 12:00 noon, in AP&M 6256.
Phone: 858-534-6297; E-mail: firstname.lastname@example.org
ANNOUNCEMENTS: 1) Sections will not meet on
Monday, March 28. 2) Please read chapters I-II (Pollard &
Diamond text) before the first lecture. These are just a review of
part of the theory of quadratic fields and their rings of integers,
covered in Math 104B (Winter 2005), and will be assumed as known. A
brief review of this material will be given in lecture, on Monday 28.
WHAT IS MATH 104C? This is the third
undergraduate course in number theory. In this course we examine topics
from algebraic number theory and focus on the following major themes:
1) Fields of algebraic numbers (a.k.a. Number Fields); 2) Rings of
algebraic integers; 3) Arithmetic in rings of algebraic integers
(integral bases, ideal theory, ideal-class groups etc.); 4)
Applications to Diophantine equations.
TEXT H. Pollard and H.G.
Diamond, The theory of algebraic
numbers (Third, revised edition); Dover Publ. 1998. You
are expected to read the text BEFORE each lecture.
- Midterm I - Monday, April 25, 9:00am, in SEQUO 147. Topics: Chapters
- Midterm II - Monday, May 23,
9:00am, in SEQUO 147.
Topics: Chapters VI-VIII.
- Final Exam - Friday,
8:00-11:00am. Location: SEQUO 147. Topics: Chapters I-XI.
No notes, textbooks, calculators
are allowed during exams. No make-up exams will be given and no late
homework will be accepted. Cheating on an exam results in 0 points for
that exam, as well as
further disciplinary action. Please
read very carefully the following ACADEMIC
- Midterms 1+2: 20% each; Final Exam: 40%;
Homework: 20%. The grading will be done on a curve, the median
corresponding to a B-/C+.
Help with mathematical problems:
Help with personal problems which
affect your class work:
- Section: Ask
questions in section --- this is one of the main reasons why sections
- Office Hours: You
are strongly advised to take full advantage of your professor's and
- Classmates: Sometimes
a classmate can help. Sometimes you can learn by working out problems
together with your classmates.
- Talk to the professor or, if appropriate, your