MAP-MATHEMATICS, APPLIED

MAP 2302 Differential Equations . . . . . 3(3,0,0)
Introduction to ordinary differential equations; emphasis on linear equations, operator methods, systems of equations. Applications. (Gordon Rule Course: Theoretical Math).  Prerequisite: MAC 2313.

MAP 4103 Mathematical Modeling . . . . . 3(3,0,0)
Mathematical models of physical problems leading to differential equations. Problems selected from biology, electrical circuitry, mechanics, etc. Methods of solution include Laplace transform, Fourier series, separation of variables and calculus of variations. (Gordon Rule Course: Theoretical Math) Prerequisite: MAP 2302.

MAP 4341 Partial Differential Equations . . . . . 3(3,0,0)
First-order equations, derivation and classification of second-order equations. Solution techniques of boundary value and initial value problems; applications. (Gordon Rule Course: Theoretical Math) Prerequisite: MAP 2302.

MAP 4403 Mathematical Methods for Engineers . . . . . 3(3,0,0)
Complex variables, including derivatives and integrals, singularities, Taylor/Laurent series and residues; Linear Algebra, including Gaussian elimination, determinants, inversion, linear independence, norms, inner product, orthogonality, Gram-Schmidt procedure, eigenvalues and eigenvectors, systems of differential equations. Prerequisite: MAP 2302.

MAP 5336 Ordinary Differential Equations . . . . . 3(3,0,0)
Fundamental existence theory, dependence of solutions on parameters, and stability. Prerequisite: MAA 4211 and MAA 4212.

MAP 5435 Advanced Mathematics for Engineers and Scientists . . . . . 3(3,0,0)
Applied analysis methods including series solution of differential equations, partial derivatives, partial differential equations, vector analysis, matrices, Fourier series and functions of complex variables. Prerequisite: MAP 2302 or equivalent.

MAP 6106 Mathematical Methods of Operations Research I . . . . . 3(3,0,0)
Mathematical probability models and distributions; linear programming models; the simplex method; duality and sensitivity analysis; inventory models; queuing theory; simulation. May not be taken for credit by students having credit for STA 6607. Prerequisite: MAS 3105 or MAS 5107 and STA 4321.

MAP 6107 Mathematical Methods of Operations Research II . . . . . 3(3,0,0)
Mathematical probability models and distributions; linear programming models; the simplex method; duality and sensitivity analysis; inventory models; queuing theory; simulation. May not be taken for credit by students having credit for STA 6608. Prerequisite: MAP 6106.

MAP 6108 Mathematical Modeling and Initial and Boundary Value Problems . . . . . 3(3,0,0)
Methodology and framework for mathematical modeling. Current topics in applied mathematics will be presented emphasizing the interdependency of mathematics and its applications to physical, societal and other "real world" phenomena. Prerequisite: MAA 4212, MAP 2302, and MAS 3105.

MAP 6375 Numerical Methods for Differential Equations . . . . . 3(3,0,0)
Overview of numerical methods of O.D.E. including one step, multistep, and shooting methods. Numerical methods for elliptic, parabolic, and hyperbolic equations. Prerequisite: MAD 4401, MAD 6405, MAP 2302, MAP 4341.