uwf banner 2004-2005 CATALOG  
Table of Contents
Welcome
Telephone Directory
Academic Calendars
     Year 2004/2005
     Fall Semester 2004
     Spring Semester 2005
     Summer Semester 2005
University Mission
Accreditations
Degrees, Areas of Specialization,
Minors

Admissions
After Admission
Financial Assistance
Student Activities
Student Services and Resources
Tuition and Fees
Military and Veterans Information
Registration and Records
Academic Policies
Graduation and General Degree
Requirements

Public Service and Research Centers
College Mission Statements
Undergraduate Degree Programs
Master's Degree Programs
Specialist Degree Programs
Doctoral Degree Programs
Course Numbering System
Course Listings and Descriptions
Administration
Faculty
Index
Course Listings/Descriptions
Semester offering codes corrected and posted on June 7, 2004.
MAP-Mathematics: Applied

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

MAP 4XXX Introduction to Coding Theory . . . . . 3(S)
Prerequisite: MAS 3105.
Explores coding theory from a mathematical viewpoint. Focuses mainly on binary codes and codes over fields of characteristic 2. Introduces error-detecting and error-correcting codes and the construction, encoding and decoding of certain families of codes important in engineering and computer science. Offered concurrently with MAP 5XXX; graduate students will be assigned additional work.

MAP 4103 Mathematical Modeling . . . . . 3(S)
Prerequisite: MAP 2302.
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)

MAP 4341 Partial Differential Equations . . . . . 3(S)
Prerequisite: MAP 2302.
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)

MAP 4403 Mathematical Methods for Engineers . . . . . 3(CALL DEPT)
Prerequisite: MAP 2302.
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.

MAP 5XXX Coding Theory . . . . . 3(S)
Prerequisite: MAS 3105.
Explores coding theory from a mathematical viewpoint. Focuses mainly on binary codes and codes over fields of characteristic 2. Introduces error-detecting and error-correcting codes and the construction, encoding and decoding of certain families of codes important in engineering and computer science. Offered concurrently with MAP 4XXX; graduate students will be assigned additional work.

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

MAP 6106 Mathematical Methods of Operations Research I . . . . . 3(F)
Prerequisite: MAS 3105 or MAS 5107 and STA 4321.
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.

MAP 6107 Mathematical Methods of Operations Research II . . . . . 3(S)
Prerequisite: MAP 6106,
Decision theory and games, PERT/CPM, Markovian decision process integer programming, dynamic programming, reliability and maintenance. May not be taken for credit by students having credit for STA 6608.

MAP 6108 Mathematical Modeling and Initial and Boundary Value Problems . . . . . 3(S)
Prerequisite: MAA 4212, MAP 2302, and MAS 3105.
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.