## MTH 4772: Number Theory with Cryptography

#### Description

Structure of the integers, prime factorization, congruences, multiplicative functions, primitive roots and quadratic reciprocity, and selected applications including cryptography.

#### Prerequisites

MTH 3002 with a grade C or better

#### Textbook

Rational points on elliptic curves, J. Silverman and J. Tate
#### Grading

Homework will be assigned and occasionally will be collected to be graded. The following chart will be used to determine your grade:

Midterm I: 20 %
Midterm II: 20 %
Midterm III: 20 %
Final 40 %
Grades will be determined with the following scale:

94-100: A
90-93: A-
87-89: B+
84-86: B
80-83: B-
77-79: C+
73-76: C
70-72: C-
67-69: D+
63-66: D
60-62: D-
59: F
#### Course policies

The course will be conducted in accordance to the Oakland University regulations and policies. Details can be found here

https://oakland.edu/provost/policies-and-procedures
#### Detailed Syllabus

A copy of the current semester of the detailed syllabus can be found

here .

#### Additional lecture notes which could be helpful for the course

Lectures in Linear Algebra
Lectures in Abstract Algebra