
MAT 311 Syllabus
Number Theory
Fall 2019

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.
 August 26
Unit 1 Divisibility and Congruences
Section 1.1 Introduction, Section 1.2 Divisibility
 August 28
Section 1.3 Primes, Section 1.4 The Binomial Theorem
Diagnostic Quiz
in lecture.
 September 2
Labor Day
 September 4
Section 2.1 Congruences,
Section 2.2 Solutions of Congruences
Problem Set 1
due in lecture.
 September 9
Section 2.3 The Chinese Remainder Theorem
 September 11
Section 2.6 Prime Power Moduli
Problem Set 2
due in lecture.
 September 16
Section 2.7 Prime Modulus
 September 18
Section 2.8 Primitive Roots and Power Residues
Problem Set 3
due in lecture.
 September 23
Unit 2 Quadratic Reciprocity and Diophantine Equations
Section 3.1 Quadratic Residues
 September 25
Section 3.2 Quadratic Reciprocity
 September 30
Miscellaneous
Problem Set 4
due in lecture.
 October 1
MIDTERM 1 ON UNIT 1
 October 7
Section 5.1 Binary Linear Forms, Section 5.2 Simultaneous Linear Equations
 October 9
Section 3.4 Binary Quadratic Forms
Problem Set 5
due in lecture.
 October 14
Fall Break
 October 16
Section 5.3 Pythagorean Triples
Problem Set 6
due in lecture.
 October 21
Section 3.5 Equivalence and Reduction of Binary Quadratic Forms
 October 23
Section 3.6 Sums of Two Squares
 October 28
Section 5.5 Ternary Quadratic Forms
Problem Set 7
due in lecture.
 October 30
Unit 3 Special Cases of Fermat's Last Theorem
Sums of Four Squares (some overlap with Chapter 6)
 November 4
Miscellaneous
Problem Set 8
due in lecture.
 November 6
MIDTERM 2 ON UNIT 2
 November 11
Section 9.1 Polynomials, Section 9.2 Algebraic Numbers
 November 13
Section 9.3
Algebraic Number Fields, Section 9.4 Algebraic Integers
Problem Set 9
due in lecture.
 November 18
Section 9.5 Quadratic Fields,
Section
9.6 Units in Quadratic Fields
 November 20
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 10
due in lecture.
 November 25
Section 9.10 The Cubic Case of Fermat's Last Theorem
Problem Set 10
due in lecture.
 November 27
Thanksgiving break
 December 2
Selected Topics from Chapter 7
 December 4
Selected Topics from Chapter 7
Problem Set 11
due in lecture.
 December 9
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