Swami's Teaching Experience

Courses taught at Dalhousie University


(a)			Calculus, first, second and third year 
			(Math 1000, 1010, 1100, 2000, 2500, 3000, 3500, 1280, 1290, 2480, 2490) 
			Linear Algebra(2030-2040)
			Set Theory(2540,3040)
			Metric spaces and Topology(3040)

(b)	 		Complex Variables (3080,4020) 
			Differential Equations(3110-3120) 
			Applied Group Theory(Math3320/Phys4480)
			Measure and Integration(4010)
			Abstract Algebra (3030)
			Functional Analysis(4140,5140)
			GeneralTopology(4170), Statistics(1060)
             		Computing Science(1400)

(c)			Have taught Pure and Applied Mathematics at Bachelor's and Master's levels 
			according to the classical British standards in Indian Universities. 
			Examples of courses with texts used: Pure Geometry(Durell), Algebraic 
			Projective Geometry(Semple -Kneebone), Pure Mathematics(G.H.Hardy), Statics and
			Dynamics(Loney,Ramsey), Hydrostatics and Hydrodynamics (Besant & Ramsey),
			Higher Algebra (Barnard,Child), Topology(Newman, Patterson).

(d)			Have taught "Modern Mathematics for teachers" at summer schools: Set Theory(Kamke),
			Real Projective Plane(Coxeter), Topology(Bourbaki), Modern Algebra(van der Waerden),
			Probability (Cramer),  Galois theory in nine lectures,  Research Topics for Teachers,  
			Analytic theory of equations,  applications of mathematical ideas, etc.


Graduate Students supervised:

			Ph.D.	I.E.Blum(Dalhousie)  Supports of continuous functions and ideals in C(X),
			     	Rajiv Roy,(Dalhousie) Epigenetic models in mathematical biology(joint with R.Rosen)

			M.Sc.	R.K.Rai(Dalhousie)  Topological tensor products.
				P.J.Scott(Dalhousie) Theorems of Hahn-Banach type.
				I.E.Blum(Dalhousie)  Pseudocompact spaces.
				J.S.Ryba(Dalhousie)  Matroids and Duality.
				P.A.Pittas(Dalhousie)  Countable paracompactness.
				J.K.Kohli(Kanpur)  Indexed neighbourhood systems. 

			Honours 
			students: Leon Pereira,  Lie groups and algebras and their applications.
				  Sanjiv Samant,  Kronecker products for SO representations.