Course Description:
			
				Covers differentiable manifolds, such as tangent bundles, tensor bundles, vector fields, Frobenius integrability theorem, differential forms, Stokes’ theorem, and de Rham cohomology; and curves and surfaces, such as elementary theory of curves and surfaces in R3, fundamental theorem of surfaces in R3, surfaces with constant Gauss or mean curvature, and Gauss-Bonnet theorem for surfaces.
			
		 
		 
		
			Fall Offering:
			
				None
			
			Lab/Coreq 1:
			
				
			
		 
		
			Spring Offering:
			
				None
			
			Lab/Coreq 2:
			
				
			
		 
		
			Summer Offering:
			
				None
			
			Lab/Coreq Remarks:
			
				
			
		 
		
			Summer 1 Offering:
			
				None
			
			Prerequisite 1:
			
				
			
		 
		
			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