Math 110, Introduction to
Number Theory, Fall 2007
- Classes: M,W,F 11-12:10, Porter Acad, Room 144.
- Instructor: Robert Boltje;
Office: Baskin Engineering
365 C;
Tel.: 459-5001;
Email: boltje@ucsc.edu;
Office hours:
T 9-10:30, Th 12-1:30, or by appointment.
- Teaching Assistant: Ted Nitz;
Office: Baskin
Engineering 354;
Email:
fnitz@math.ucsc.edu;
Office hours: T 5:30-7:30pm,
W 9:30-11:00am, or by appointment.
- Grader: Paul Spiegelhalter;
Email: pspiegelhalter@gmail.com.
- Sections: Tu 8pm-9:10pm, Eight Acad, Room 242; W
8am-9:10am, Earth&Marine, Room B210.
- Exams: Midterm: November 9, 11-12:10,
in class.
Final: Wednesday, Dec. 12, 4pm–7pm, Porter Acad,
Room 144.
- Passing requirements: 50% of maximal total score. The total
score is computed as weighted average from
homework (20%), midterm (30%) and final (50%).
- Textbooks: I will follow my own notes. The class will be
totally self-contained. You do not need more than your lecture notes.
If you want to use a book, here a few suggestions:
Rosen:
Elementary number theory and its applications. (Most comprehensive,
with many examples, also most expensive).
Andrews: Number Theory.
(A little bit denser, and less material, much cheaper).
Dence,Dence: Elements of the theory of numbers. (Similar to Rosen).
- Syllabus: Divisibility, Euclidean Algorithm, greatest
common divisor, prime numbers, unique factorization, congruences,
linear congruences, Chinese Remainder Theorem, polynomial congruences,
Fermat's and Euler's Theorem, arithmetic functions, primitive roots,
Pythagorean triples, Fermat's Last Theorem.
- Homework Problems: Homework is
to be turned in Fridays at the BEGINNING of class.