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MATH 4101: G Advanced Calculus
3.00 Credits
University of New Orleans
Prerequisite: MATH 2115. MATH 4101 is prerequisite to MATH 4102. These courses emphasize a balance between proofs and techniques in intermediate analysis involving one and several variables. Limits, continuity, differentiation, integration and convergence. Series of functions, functional dependence, Jacobian, vector analysis or other techniques of use in applications.
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MATH 4101 - G Advanced Calculus
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MATH 4102: G Advanced Calculus
3.00 Credits
University of New Orleans
Prerequisite: MATH 2115. MATH 4101 is prerequisite to MATH 4102. These courses emphasize a balance between proofs and techniques in intermediate analysis involving one and several variables. Limits, continuity, differentiation, integration and convergence. Series of functions, functional dependence, Jacobian, vector analysis or other techniques of use in applications.
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MATH 4102 - G Advanced Calculus
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MATH 4213: G Fourier Series & Transforms
3.00 Credits
University of New Orleans
Prerequisite: MATH 2115 and 2221 or consent of department. Fourier series and discrete frequency spectra, Fourier integral and continuous spectra, transformation of special functions, applications in physics and engineering.
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MATH 4213 - G Fourier Series & Transforms
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MATH 4221: G Intermed Ordinary Diff Equats
3.00 Credits
University of New Orleans
Prerequisite: MATH 2221 and 2511 or consent of department. Topics to be selected from the following: introduction to qualitative theory, phase plane analysis of autonomous systems, classification of equilibria, stability theory, Liapunov methods, limit cycles, Poincar Bendixson theorem, introduction to bifurcation theory and chaotic oscillations, Froebenius method for series solutions, special functions, Sturm comparison and separation theorems.
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MATH 4221 - G Intermed Ordinary Diff Equats
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MATH 4224: G Partial Diff Equations I
3.00 Credits
University of New Orleans
Prerequisite: MATH 2115 and 2221 or consent of department. Basic techniques for solving linear partial differential equations, separation of variables, eigenfunction expansions, integral transforms, Sturm-Liouville boundary value problems, initial value problems and boundary value problems for hyperbolic, parabolic, and elliptic equations, fundamental solutions, maximum principle, classical and modern applications.
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MATH 4224 - G Partial Diff Equations I
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MATH 4230: G Finite Element Analysis
3.00 Credits
University of New Orleans
Prerequisites: MATH 2115, 2221 and 2511. A knowledge of Fortran or consent of department. Variational principle, weighted residual methods, finite element analysis of one and two dimensional steady state and transient boundary value problems involving partial differential equations, software development and implementations.
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MATH 4230 - G Finite Element Analysis
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MATH 4240: G Boundary Element Method
3.00 Credits
University of New Orleans
Prerequisites: MATH 2115, 2221, and 2511. Some knowledge of computer programming is also required. Weak variational formulation, fundamental solutions, formulation of two- and three-dimensional boundary element equations, potential problems, nonconvex regions, linear elasticity, fluid flows, acoustics, software development.
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MATH 4240 - G Boundary Element Method
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MATH 4251: G Numerical Analysis
3.00 Credits
University of New Orleans
Prerequisite: MATH 2115 or consent of department. Numerical solution of systems of linear and nonlinear equations; interpolation, approximation, and minimization of functions; numerical integration.
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MATH 4251 - G Numerical Analysis
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MATH 4252: G Numerical Analysis
3.00 Credits
University of New Orleans
Prerequisites: MATH 2221 and 4251, or consent of department. Eigenvalue problems; numerical Fourier transforms; modeling of data; introduction to numerical solution of initial and boundary value problems in ordinary and partial differential equations.
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MATH 4270: G Intro to Optimization
3.00 Credits
University of New Orleans
Prerequisites: MATH 2115 and 2511 or consent of department. Methods for optimization of physical, economic, and business systems. Convex sets; methods for solving linear programming problems; review of classical methods of optimization; network flow analysis.
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MATH 4270 - G Intro to Optimization
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