Manhattanville College

 

 

Number Theory

...

Prof. Lefton

Mathematics 3037/5037                      

....

Fall, 2008

 

 

Course Outline

 

                                            

                        

Textbook:

      To be decided

 

Topics to be Covered:

           

Divisibility, prime numbers

 

Congruences, the Chinese Remainder Theorem

 

Quadratic residues, the Quadratic Reciprocity Law

 

Number Theoretic Functions

 

Diophantine equations

 

Distribution of prime numbers

 

The Prime Number Theorem

 

Other topics, time permitting

 

 

Requirements for course:

 

      Homework exercises

 

      Two tests

 

      Graded Problem sets

 

      Final exam

 

 

Students registered for this course as Math 5037 (graduate credit) have an additional education requirement. Click here for details.

 

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