
MAT 311 Syllabus
Number Theory
Spring 2011

The schedule for topics covered in lecture is as follows. Please do
the assigned reading prior to lecture. This will make the lectures
more effective for you.
 February 1
Unit 1 Divisibility and Congruences
Section 1.1 Introduction, Section 1.2 Divisibility
 February 3
Section 1.3 Primes, Section 1.4 The Binomial Theorem
 February 8
Section 2.1 Congruences
 February 10
Section 2.2 Solutions of Congruences
Problem Set 1
due in lecture.
 February 15
Section 2.3 The Chinese Remainder Theorem
 February 17
Section 2.6 Prime Power Moduli
Problem Set 2
due in lecture.
 February 22
Section 2.7 Prime Modulus
 February 24
Section 2.8 Primitive Roots and Power Residues
Problem Set 3
due in lecture.
 March 1
Unit 2 Quadratic Reciprocity and Diophantine Equations
Section 3.1 Quadratic Residues
 March 3
Section 3.2 Quadratic Reciprocity
Problem Set 4
due in lecture.
 March 8
Miscellaneous
 March 10
MIDTERM 1 ON UNIT 1
 March 15
Section 5.1 Binary Linear Forms, Section 5.2 Simultaneous Linear Equations
 March 17
Section 3.4 Binary Quadratic Forms
Problem Set 5
due in lecture.
 March 22
Section 5.3 Pythagorean Triples
 March 24
Section 3.5 Equivalence and Reduction of Binary Quadratic Forms
Problem Set 6
due in lecture.
 March 29
Section 3.6 Sums of Two Squares
 March 31
Section 5.5 Ternary Quadratic Forms
Problem Set 7
due in lecture.
 April 5
Unit 3 Special Cases of Fermat's Last Theorem
Sums of Four Squares (some overlap with Chapter 6)
 April 7
Section 9.1 Polynomials, Section 9.2 Algebraic Numbers, Section 9.3
Algebraic Number Fields
Problem Set 8
due in lecture.
 April 12
Miscellaneous
 April 14
MIDTERM 2 ON UNIT 2
 April 26
Section 9.4 Algebraic Integers, Section 9.5 Quadratic Fields, Section
9.6 Units in Quadratic Fields
 April 28
Section 9.7 Primes in Quadratic Fields, Section 9.8 Unique
Factorization, Section 9.9 Primes in Quadratic Fields with the UFD
property
Problem Set 9
due in lecture.
 May 3
Section 9.10 The Cubic Case of Fermat's Last Theorem
 May 5
Selected Topics from Chapter 7
Problem Set 10
due in lecture.
 May 10
Selected Topics from Chapter 7
 May 12
Miscellaneous
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Jason Starr
4108 Math Tower
Department of Mathematics
Stony Brook University
Stony Brook, NY 117943651
Phone: 6316328270
Fax: 6316327631
Jason Starr