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2013–2014 UNIVERSITY CATALOG - Florida Institute of Technology

2013–2014 UNIVERSITY CATALOG - Florida Institute of Technology

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OCN 5899 FINAL SEMESTER THESIS (0-2 credits). Variable registration<br />

for thesis completion after satisfaction <strong>of</strong> minimum registration requirements.<br />

(Requirements: Accepted petition to graduate and approval by Office <strong>of</strong> Graduate<br />

Programs.)<br />

OCN 5901 SPECIAL TOPICS IN OCEANOGRAPHY (1 credit). Special topics not<br />

covered in the regular curriculum. Offered on occasion to specific student groups.<br />

(Requirement: Instructor approval.)<br />

OCN 5902 SPECIAL TOPICS IN OCEANOGRAPHY (2 credits). Special topics<br />

not covered in the regular curriculum. Offered on occasion to specific student<br />

groups. (Requirement: Instructor approval.)<br />

OCN 5903 SPECIAL TOPICS IN OCEANOGRAPHY (3 credits). Special topics<br />

not covered in the regular curriculum. Offered on occasion to specific student<br />

groups. (Requirement: Instructor approval.)<br />

OCN 5990 OCEANOGRAPHY SEMINAR (0 credits). Presents research and review<br />

<strong>of</strong> areas <strong>of</strong> interest by staff, students and invited speakers in the field <strong>of</strong> oceanography.<br />

(Requirement: Graduate standing in oceanography.)<br />

OCN 5996 INTERNSHIP (0-3 credits). Application <strong>of</strong> coastal zone management<br />

principles to involve the student in actual experience with planning or other related<br />

agencies. Includes on-campus preparation, <strong>of</strong>f-campus work experience and a final<br />

on-campus debriefing. (Requirement: Graduate standing in oceanography.)<br />

OCN 5999 THESIS RESEARCH (3-6 credits). Individual work under the direction<br />

<strong>of</strong> a member <strong>of</strong> the graduate faculty on a selected topic in the field <strong>of</strong> oceanography.<br />

OCN 6899 FINAL SEMESTER DISSERTATION (0-2 credits). Variable registration<br />

for dissertation completion after satisfaction <strong>of</strong> minimum registration requirements.<br />

(Requirements: Accepted candidacy and approval by Office <strong>of</strong> Graduate Programs.)<br />

OCN 6993 RESEARCH IN OCEANOGRAPHY (1-3 credits). Research under the<br />

guidance <strong>of</strong> a member <strong>of</strong> the graduate faculty. Repeatable as required.<br />

OCN 6999 DISSERTATION RESEARCH (3-12 credits). Individual work under<br />

the direction <strong>of</strong> a member <strong>of</strong> the graduate faculty on a selected topic in the field<br />

<strong>of</strong> oceanography.<br />

OPERATIONS RESEARCH<br />

ORP 5001 DETERMINISTIC OPERATIONS RESEARCH MODELS (3 credits).<br />

An applied treatment <strong>of</strong> modeling, analysis and solution <strong>of</strong> deterministic operations<br />

research problems. Includes model formulation, linear programming, network flow<br />

and transportation problems and algorithms, integer programming and dynamic<br />

programming. (Requirement: At least one upper-level undergraduate math course.)<br />

ORP 5002 STOCHASTIC OPERATIONS RESEARCH MODELS (3 credits). An<br />

applied treatment <strong>of</strong> modeling, analysis and solution <strong>of</strong> probabilistic operations<br />

research problems. Topics chosen from decision analysis, game theory, inventory<br />

models, Markov chains, queuing theory, simulation, forecasting models.<br />

(Requirement: At least one upper-level undergraduate math course, preferably<br />

probability and statistics.)<br />

ORP 5003 OPERATIONS RESEARCH PRACTICE (3 credits). Includes OR methodology,<br />

how an OR analyst interacts with clients, and preparation and presentation<br />

<strong>of</strong> oral reports. Students form teams to analyze real cases where each student<br />

gets an opportunity to be a team leader and present oral reports. Prerequisites:<br />

ORP 5001, ORP 5002.<br />

ORP 5010 MATHEMATICAL PROGRAMMING (3 credits). Surveys popular<br />

optimization techniques. Topics chosen from linear, integer, nonlinear, dynamic<br />

and network flow programming; combinatorial graph algorithms. (Requirement:<br />

Prerequisite course or instructor approval.) Prerequisites: MTH 5102 or ORP 5001.<br />

ORP 5011 DISCRETE OPTIMIZATION (3 credits). Studies combinatorial optimization<br />

and integer programming. Prerequisites: MTH 5051, ORP 5001.<br />

ORP 5020 THEORY OF STOCHASTIC PROCESSES (3 credits). Introduces<br />

stochastic models, discrete- and continuous-time stochastic processes, point and<br />

counting processes, Poisson counting process, compound Poisson processes, nonstationary<br />

Poisson processes, renewal theory, regenerative processes and Markov<br />

chains. (Requirement: Instructor approval or prerequisite course.) Prerequisites:<br />

MTH 5411.<br />

ORP 5021 QUEUING THEORY (3 credits). Includes queuing processes; imbedded<br />

and continuous time parameter processes; Markov, semi-Markov and semiregenerative<br />

processes; single-server and multiserver queues; processes <strong>of</strong> servicing<br />

unreliable machines and computer applications; and controlled stochastic models.<br />

(Requirement: Instructor approval or prerequisite course.) Prerequisites: MTH 5411.<br />

ORP 5025 STOCHASTIC ANALYSIS OF FINANCIAL MARKETS 1 (3 credits).<br />

Lays the foundation for mathematical concepts widely applied in financial markets.<br />

Uses economic theory with stochastics (martingales, Wiener, Markov, Ito processes,<br />

stochastic differential equations) to derive fair option prices and hedge call<br />

options. Also uses fluctuation theory to predict stocks’ crossing <strong>of</strong> critical levels.<br />

Prerequisites: MTH 5411 or MTH 5425.<br />

ORP 5026 STOCHASTIC ANALYSIS OF FINANCIAL MARKETS 2 (3 credits).<br />

Offers multidimensional stochastics applied to financial markets. Continues with<br />

multivariate Ito processes and multidimensional Feynman-Kac theorems, hedging<br />

<strong>of</strong> American and exotic call options and forward exchange rates. Introduces timesensitive<br />

analysis <strong>of</strong> stocks, and risk theory. Prerequisites: MTH 5435 or ORP 5025.<br />

ORP 5030 DECISION ANALYSIS (3 credits). Covers normative models <strong>of</strong> decisions<br />

under certainty, risk and uncertainty; assessment <strong>of</strong> subjective probability<br />

and utility functions; Bayesian decision analysis and the value <strong>of</strong> information;<br />

influence diagrams; and descriptive aspects <strong>of</strong> decision making. (Requirement:<br />

Undergraduate statistics course.)<br />

ORP 5031 MULTIOBJECTIVE DECISION ANALYSIS (3 credits). Covers normative<br />

models <strong>of</strong> decisions considering multiobjective and multiattribute models.<br />

Includes multiattribute utility theory, the analytical hierarchy process, linear multiobjective<br />

programming and goal programming. Prerequisites: ORP 5001, ORP 5030.<br />

ORP 5040 QUALITY ASSURANCE (3 credits). Covers the principles and application<br />

<strong>of</strong> statistical quality control and statistical process control. (Requirement:<br />

Undergraduate statistics course.)<br />

ORP 5041 RELIABILITY ANALYSIS (3 credits). Covers the principles <strong>of</strong> reliability<br />

analysis and assessment; reliability probability models; combinatorial and<br />

system reliability; and reliability estimation. (Requirement: Instructor approval or<br />

prerequisite course.) Prerequisites: MTH 5411.<br />

ORP 5042 RELIABILITY, AVAILABILITY AND MAINTAINABILITY (3 credits).<br />

Discusses maintainability concepts relating to system effectiveness and supportsystem<br />

design. Includes basic mathematical concepts, design concepts and data<br />

analysis used in quantifying availability, maintainability and reliability as measures<br />

<strong>of</strong> operational readiness and system effectiveness. Prerequisites: ORP 5041.<br />

ORP 5050 DISCRETE SYSTEM SIMULATION (3 credits). Covers the principles<br />

<strong>of</strong> building and using a discrete event simulation; construction and statistical testing<br />

<strong>of</strong> random variate generators; statistical analysis and validation <strong>of</strong> results; design<br />

<strong>of</strong> simulation projects; and variance reduction methods. (Requirement: Instructor<br />

approval or prerequisite course.) Prerequisites: MTH 5411.<br />

ORP 5051 APPLIED EXPERT SYSTEMS (3 credits). Covers the concepts and<br />

methods <strong>of</strong> rule-based expert systems; methods <strong>of</strong> knowledge representation; and<br />

use <strong>of</strong> an expert system shell to build a small expert system. Noncredit for CS majors.<br />

ORP 5070 SEQUENCING AND SCHEDULING (3 credits). Bridges the gap<br />

between scheduling theory and its application in manufacturing and service environments.<br />

Emphasizes basic scheduling principles and uses selected readings and<br />

case studies to illustrate the use <strong>of</strong> these concepts in industrial environments.<br />

ORP 5090 SPECIAL TOPICS IN OPERATIONS RESEARCH 1 (3 credits).<br />

Content variable depending on the fields <strong>of</strong> expertise <strong>of</strong> the faculty and the desire<br />

and needs <strong>of</strong> the students.<br />

ORP 5091 SPECIAL TOPICS IN OPERATIONS RESEARCH 2 (3 credits).<br />

Content variable depending on the fields <strong>of</strong> expertise <strong>of</strong> the faculty and the desire<br />

and needs <strong>of</strong> the students. Prerequisites: ORP 5090.<br />

ORP 5899 FINAL SEMESTER THESIS (0-2 credits). Variable registration<br />

for thesis completion after satisfaction <strong>of</strong> minimum registration requirements.<br />

(Requirements: Accepted petition to graduate and approval by Office <strong>of</strong> Graduate<br />

Programs.)<br />

ORP 5999 THESIS RESEARCH (3-6 credits). Individual research under the<br />

direction <strong>of</strong> a major advisor approved by the chair <strong>of</strong> the program. A maximum <strong>of</strong><br />

six credits may be credited toward the master’s degree.<br />

ORP 6010 ADVANCED TOPICS IN MATHEMATICAL PROGRAMMING<br />

(3 credits). Overviews selected topics in the theory <strong>of</strong> optimization. Unifies much<br />

<strong>of</strong> the field by use <strong>of</strong> a few principles <strong>of</strong> linear vector space theory. The concepts <strong>of</strong><br />

distance, orthogonality and convexity play fundamental roles in this development.<br />

Prerequisites: MTH 5101, MTH 5102, ORP 5010.<br />

ORP 6030 ADVANCED TOPICS IN DECISION MODELS (3 credits). Discusses<br />

current methods and research in decision analysis. May include large-scale multicriteria<br />

decision analysis, behavioral analysis <strong>of</strong> decision making, methods <strong>of</strong> uncertainty<br />

representation and decision making in the public domain. (Requirement:<br />

Instructor approval or prerequisite course.) Prerequisites: ORP 5031.<br />

<strong>2013–2014</strong> Course Descriptions 285

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