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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DSS advisory. If you have a physical, psychiatric, medical, or learning disability that may affect your ability to carry out the assigned course work, please contact the office of Disabled Student Services (DSS), Humanities Building, room 133, telephone 632-6748/TDD. DSS will review your concerns and determine what accommodations may be necessary and appropriate. All information regarding any disability will be treated as strictly confidential.

Students who might require special evacuation procedures in the event of an emergency are urged to discuss their needs with both the instructor and DSS. For important related information, click here.