MAT 311 Number Theory Spring 2014 

TuTh 2:30 - 3:50pm Physics P112

Instructor: Ljudmila Kamenova
Office: Math Tower 3-115
Office hours: Wed 11 am - 12 noon in the MLC, Wed 1:30 - 3:30 pm in Math 3-115
Grader: Dingxin Zhang (dzhang at math dot sunysb dot edu)
Grader's office hours: Mon 3-4 pm in Math 2-114, Mon 4-6 pm in the MLC

The Instructor may be reached by e-mail at kamenova@math.sunysb.edu.

Course Description: Congruences, quadratic residues, quadratic forms, continued fractions, Diophantine equations, number-theoretical functions, and properties of prime numbers.

Prerequisites: A grade of C or higher in MAT 312 or 313 or 318; a grade of C or higher in MAT 200 or permission of instructor.

Text: Ivan Niven, Herbert S. Zuckerman, Hugh L. Montgomery, "An Introduction to the Theory of Numbers"

Grading: There will be two midterm exams (on 3/6 and 4/17 in class) and a final exam (on 5/19, 11:15am - 1:45pm). There will be regular homework assignments, due roughly once per week. Your grade will be determined via the following percentages: homework: 30%, midterms: 20% each, and final: 30%.

Homework:

HW 1 (due on Feb 6): Section 1.2. Problems 15 and 32; Section 1.3. Problems 11 and 31.

HW 2 (due on Feb 18): Section 2.1. Problems 10, 34 and 38; Section 2.2. Problem 11.

HW 3 (due on Feb 25): Section 2.3. Problems 3, 14 and 25; Section 2.6. Problem 3.

HW 4 (due on March 4): Section 2.8. Problems 7, 9, 12 and 19.

Midterm 1: Thursday, March 6, in class.

HW 5 (due on March 13): Section 3.1. Problems 4 and 10; Section 3.2. Problems 1 and 2.

HW 6 (due on March 27): Section 3.4. Problems 7 and 8; Section 3.5. Problems 1 and 3.

HW 7 (due on April 3): Section 4.2. Problems 1 and 5; Section 4.3. Problems 2 and 7.

HW 8 (due on April 10): Section 4.5. Problem 2; Section 5.1. Problem 2; Section 5.2. Problem 1; Section 5.3. Problem 11; Section 5.4. Problem 1.

Midterm 2: Thursday, April 17, in class.

HW 9 (due on April 24): Section 7.1. Problem 1; Section 7.2. Problem 1; Section 7.3. Problem 3; Section 7.7. Problem 2.

HW 10 (due on May 1): Section 9.1. Problems 6 and 7; Section 9.2. Problems 1 and 2.

Final exam on 5/19, 11:15am - 1:45pm.

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