ECSU's Computational Science - Scientific Visualization Center
		[ECSU's CSSV Center ]
	Johnny L. Houston, Director
	School of Mathematics, Science and Technology
	Elizabeth City State University; Elizabeth City, NC  (USA)
	jlhouston@mail.ecsu.edu
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	Some Major Categories of Computational (Mathematical) Models/Numerical Methods
	Traditional Courses for Studying
	Computational Models / Numerical Methods
	Courses	Categories
		Numerics / Sets	Functions/	Logic /	Counting	Relations /	Searching /
	Discrete Mathematics (Methods)		Matrices	Logic Diagrams	Techniques	Graphs	Sorting Techniques
	Calculus	Numerics /	Limits /	Convergence /	Root Finding	Differentiation	Integration
		Functions	Continuity	Divergence
	Linear Algebra	Matrices /	Vectors /	Transformations	Solving Linear	Eigenvalues /	Various Methods for
		Matrix Algebra	Vector Spaces		Systems of Equations	Eigenvectors	Solving Sys of Equations
	Probability and Statistics	Probability	Distributions	Confidence Intervals/	Random Variables	Determinstic	Stochastic
		( Measure/uncertainities)	(Behavior/uncertainities)	Statistical Testing	Expected Values	Processes	Processes
	Ordinary Differential Equations	Numerical Methods	Numerical Methods	Numerical Methods	Numerical Methods	Numerical Methods	Numerical Methods
	(ODEs)	for Solving First	for Solving Systems	for Solving	for Solving Systems	for Solving Initial	for Solving Boundary
		Order ODEs	of 1st order ODEs	2nd & higher order ODEs	2nd & higher order ODEs	Value ODEs	Value ODEs
	Numerical Analysis (Methods)	Solutions of Linear /	Solutions of Systems	Interpolation,	Numerical Solutions	Numerical	Numerical Solutions
		Non-Linear Equations	of Linear and	Extrapolation and	using Minimization	Differentiation	to ODEs and PDEs
			Non-Linear Equations	Curve Fitting	Optimization	and Integration
	Mathematical (Computational)	Modeling by similarity	Optimization	Simulation and	Modeling of	Modeling with Eqns /	Modeling with
	Modeling	and proportionality	Modeling	Probabilistic Modeling	Dynamical Systems	Systems of Eqations	Numerical Methods
	Partial Differential Equations	Numerical Methods	Numerical Methods	Numerical Methods	Numerical Methods	Numerical Perturbation	Finite Diff./ Finite Elmnt
		for Solving First	for Solving Systems	for Solving Second	for Solving Systems	Methods for	Finite Volume Methods
		Order PDEs	of 1st order PDEs	and higher order ODEs	2nd & higher order PDEs	Solving PDEs	for Solving PDEs
	Traditional Computer Science	Computer Science I	Computer Science II	Data Structures	Computer Graphics	Database Management	Software Devlopment
	Courses	(Programming)	(Programming)	(Programming)	or Intro. to Computational	Files/Report Generation
					Sc.- Scientific Vis.	(Optional)	(Optional)