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MTH 6200 SELECTED TOPICS IN APPLIED
ANALYSIS (3 credits). Advanced topics in applied
analysis emphasizing recent developments. May
vary depending on the needs and interests of the
student and the fields of expertise of the faculty.
(Requirement: Instructor approval.)
MTH 6300 SELECTED TOPICS IN NUMERI-
CAL AND COMPUTATIONAL MATHEMAT-
ICS (3 credits). Advanced topics in numerical and
computational mathematics with emphasis on
recent developments. May vary depending on the
needs and interests of the student and the fields
of expertise of the faculty. (Requirement: Instructor
approval.)
MTH 6350 SPECIAL TOPICS IN PARALLEL
PROCESSING (3 credits). Specific contents vary,
but focuses on selected aspects of parallel processing
algorithms and architectures. (Requirement:
Instructor approval.)
MTH 6999 DISSERTATION RESEARCH (0-6
credits). Research and preparation of the doctoral
dissertation. (Requirement: Instructor approval.)
OPERATIONS RESEARCH
ORP 5001 DETERMINISTIC OPERATIONS
RESEARCH MODELS (3 credits). An applied
treatment of modeling, analysis and solution
of deterministic operations research problems.
Includes model formulation, linear programming,
network flow and transportation problems and
algorithms, integer programming and dynamic programming.
(Requirement: At least one upper-level
undergraduate math course.)
ORP 5002 STOCHASTIC OPERATIONS
RESEARCH MODELS (3 credits). An applied
treatment of modeling, analysis and solution of
probabilistic operations research problems. Topics
chosen from decision analysis, game theory, inventory
models, Markov chains, queuing theory, simulation,
forecasting models. (Requirement: At least one
upper-level undergraduate math course, preferably
probability and statistics.)
ORP 5003 OPERATIONS RESEARCH PRAC-
TICE (3 credits). Includes OR methodology, how
an OR analyst interacts with clients, and preparation
and presentation of oral reports. Students form
teams to analyze real cases where each student gets
an opportunity to be a team leader and present oral
reports. Prerequisites: ORP 5001, ORP 5002.
ORP 5010 MATHEMATICAL PROGRAM-
MING (3 credits). Surveys popular optimization
techniques. Topics chosen from linear, integer,
nonlinear, dynamic and network flow programming;
combinatorial graph algorithms. (Requirement:
Prerequisite course or instructor approval.)
Prerequisites: MTH 5102 or ORP 5001.
ORP 5011 DISCRETE OPTIMIZATION (3
credits). Studies combinatorial optimization and
integer programming. Prerequisites: MTH 5051,
ORP 5001.
134 Florida Institute of Technology
ORP 5020 THEORY OF STOCHASTIC PRO-
CESSES (3 credits). Introduces stochastic models,
discrete- and continuous-time stochastic processes,
point and counting processes, Poisson counting
process, compound Poisson processes, nonstationary
Poisson processes, renewal theory, regenerative
processes and Markov chains. (Requirement:
Instructor approval or prerequisite course.) Prerequisites:
MTH 5411.
ORP 5021 QUEUING THEORY (3 credits).
Includes queuing processes; imbedded and continuous
time parameter processes; Markov, semi-Markov
and semi-regenerative processes; single-server
and multiserver queues; processes of servicing
unreliable machines and computer applications;
and controlled stochastic models. (Requirement:
Instructor approval or prerequisite course.) Prerequisites:
MTH 5411.
ORP 5030 DECISION ANALYSIS (3 credits).
Covers normative models of decisions under certainty,
risk and uncertainty; assessment of subjective
probability and utility functions; Bayesian
decision analysis and the value of information;
influence diagrams; and descriptive aspects of
decision making. (Requirement: Undergraduate
statistics course.)
ORP 5031 MULTIOBJECTIVE DECISION
ANALYSIS (3 credits). Covers normative models
of decisions considering multiobjective and multiattribute
models. Includes multiattribute utility
theory, the analytical hierarchy process, linear
multiobjective programming and goal programming.
Prerequisites: ORP 5001, ORP 5030.
ORP 5040 QUALITY ASSURANCE (3 credits).
Covers the principles and application of statistical
quality control and statistical process control.
(Requirement: Undergraduate statistics course.)
ORP 5041 RELIABILITY ANALYSIS (3 credits).
Covers the principles of reliability analysis and
assessment; reliability probability models; combinatorial
and system reliability; and reliability
estimation. (Requirement: Instructor approval or
prerequisite course.) Prerequisites: MTH 5411.
ORP 5042 RELIABILITY, AVAILABILITY AND
MAINTAINABILITY (3 credits). Discusses maintainability
concepts relating to system effectiveness
and support-system design. Includes basic mathematical
concepts, design concepts and data analysis
used in quantifying availability, maintainability and
reliability as measures of operational readiness and
system effectiveness. Prerequisites: ORP 5041.
ORP 5050 DISCRETE SYSTEM SIMULATION
(3 credits). Covers the principles of building and
using a discrete event simulation; construction
and statistical testing of random variate generators;
statistical analysis and validation of results;
design of simulation projects; and variance reduction
methods. (Requirement: Instructor approval
or prerequisite course.) Prerequisites: MTH 5411.