Graduate Catalog: 2012-2013 - Alabama A&M University

computers and computing; and laboratory practicein programming mathematical curriculum materials.MTH 533 Foundations of Geometry - Threesemester hours. Euclidean geometry, non-Euclideangeometry, analytic geometry, finite geometry, andsimilarity in Euclidean space.MTH 552 Analysis I - Three semester hours.Functions, sequences, limits, continuity, uniformcontinuity, derivatives, intermediate value theorem.(Prerequisite: MTH 505 or Consent of Instructor)MTH 553 Analysis II - Three semester hours.Integration, bounded variation, series, convergences,elementary functions, and sequences and series offunctions. (Prerequisite: MTH 552)MTH 620 Topology - Three semester hours. Thetopology of the real line; Euclidean, metric, andtopological spaces; connectedness; compactness;and continuity. (Prerequisite: MTH 552 or Consentof Instructor)MTH 651 Mathematical Logic - Three semesterhours. Principles of logic and the elementarystructure of mathematics; connectives andquantifiers, sets and relations; negation; inductiveand deductive reasoning. (Prerequisite: MTH 504 orConsent of Instructor)MTH 665 Theory of Numbers - Three semesterhours. Divisibility, congruencies, residues,Diophantine analysis, sieve methods, and geometryof numbers. (Prerequisite: MTH 507 or Consent ofInstructor)MTH 673 Probability and Statistical Analysis -Three semester hours. Algebra of sets; empiricalfrequency distributions; combinatorics;mathematical expectation; discrete and continuousprobability distributions; probability densities;hypothesis testing; and estimation. (Prerequisite:MTH 504 or Consent of Instructor)MTH 681 Mathematics Seminar II - One semesterhour. A study, by seminar method, of additionaltopics in mathematics from the history ofmathematics, algebra, linear algebra, geometry, oranalysis.MTH 682 Mathematics Seminar III - Onesemester hour. A study, using research methods, ofcurrent topics in mathematics and/or mathematicseducation.MECHANICAL ENGINEERINGME 511 Power Plant Performance - Threesemester hours. Same as ME 411*. A study of thefundamentals of aerothermodynamics of propulsionsystems, cycle analysis, ideal Bryton air cycle, andreal turbojet and turbofan performance. Basic sizingtechniques, economy parameters, performancesimulation, and prediction will be covered.Introduction to power plant/airframe integration willbe introduced. Prerequisites: undergraduate coursein thermodynamics and power generationME 512 Analysis and Synthesis of Gas Turbinesand Components - Three semester hours. Same asME 412*. A review of aerothermodynamics ofpropulsion systems, characterization of power plantutilization, and operation cycle analysis. On-offdesign performance, component characterization,component design, component matching,optimization, and introduction to power plantintegration systems in a fixed or moving architectureare also covered. Prerequisite: ME 511 or theequivalentME 513 Rocket Propulsion - Three semesterhours. Same as ME 413*. A study of propulsionsystem requirements for terrestrial andinterplanetary flight. Basic principles andperformance of both solid and liquid chemicalrocket propulsion systems, elements of nuclearrockets, nuclear-electrical power systems, andelectrical propulsion systems are addressed.Prerequisites: undergraduate courses inthermodynamics and fluid mechanicsME 514 Gas Turbine Engine Design andManufacture - Three semester hours. Same as ME414 A study of synthesis of gas turbine designunder the constraints of power plant systemintegration or airframe integration. Definitions ofsystem requirements, preliminary configurationanalysis and engine sizing; inlet preliminary design;compressor, combustor, turbine and nozzle design;co-generation and heat recovery considered forstationary power plants.; engine on and off designperformance simulation; installed thrust and systeminterference effects; noise sources and noise controlare covered. Prerequisites: undergraduate coursesin heat and mass transfer and machine dynamicsME 515 Heating, Ventilating, Air Conditioning,Refrigeration - Three semester hours. Same as ME415. A study of refrigeration cycles, psychrometrics,139