Course Title:
			
				Algebraic Number Theory
			
		 
		
			Course Description:
			
				Covers rings of integers, Dedekind domains, factorization of ideals, ramification, and the decomposition and inertia subgroups; units in rings of integers, Minkowski’s geometry of numbers, and Dirichlet’s unit theorem; and class groups, zeta functions, and density sets of primes.
			
		 
		 
		
			Fall Offering:
			
				None
			
			Lab/Coreq 1:
			
				
			
		 
		
			Spring Offering:
			
				None
			
			Lab/Coreq 2:
			
				
			
		 
		
			Summer Offering:
			
				None
			
			Lab/Coreq Remarks:
			
				
			
		 
		
			Summer 1 Offering:
			
				None
			
			Prerequisite 1:
			
				MTH G213
			
		 
		
			Summer 2 Offering:
			
				None
			
			Prerequisite 2:
			
				
			
		 
		
			Cross-Listed Course 1:
			
				
			
			Prerequisite 3:
			
				
			
		 
		
			Cross-Listed Course 2:
			
				
			
			Prerequisite 4:
			
				
			
		 
		
		
			Cross-Listed Course 3:
			
				
			
			Prerequisite 5:
			
				
			
		 
		
		
			Cross-Listed Course 4:
			
				
			
			Prerequisite Remarks:
			
				
			
		 
		
		
			Cross-Listed Course 5:
			
				
			
			Repeatable:
			
				N