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Descriptions of Courses acceptable for Major Credit by the Marine Science Graduate Program

 

Marine Science
Biology
Chemistry
Engineering
Geography

Geology
Political Science & Law

Mathematics
Physics
Statistics
MSCI 501
Principles of Geomorphology. [=GEOL 501] (3) (Prereq: GEOL 101 and 102) The process of earth denudation with emphasis on chemistry of weathering, stream and erosion hydraulics, quantitative analysis of land form evolution.
MSCI 511
Advanced Paleontology. [=GEOL 511] (3) (Prereq: GEOL 311) Systematic, ecological, biogeographic, and evolutionary aspects of paleontology. Lectures, practical exercises, occasional field trips.
MSCI 515
Marine Micropaleontology. [=GEOL 515] (4) (Prereq: consent of instructor) Marine microfossils: distribution, ecology, paleoecology, and biostratigraphy; use of microfossils in marine sediments to study oceanographic history. Three lectures and two laboratory hours per week.
MSCI 521
Introduction to Geochemistry. [=GEOL 521] (3) Investigation of low temperature chemical reactions controlling the geochemistry of the earth's surface. Emphasis on CO2, carbonates, oxidation-reduction, thermodynamics, isotopes, biogeochemistry.
MSCI 524
Environmental Radioisotope Geochemistry. {=MSCI 524} (3) (Prereq: CHEM 111, CHEM 112, MATH 141) Introduction to radioactivity and the use of radionuclides to study environmental processes, including age-dating and biogeochemical cycling in aquatic systems. Two lectures per week.
MSCI 525
Marine Botany. [=BIOL 525] (4) (Prereq: BIOL 301 or MSCI 302) Diversity, distribution, physiology, ecology, evolution, and economic importance of marine algal, seagrass, and mangrove communities. Three lectures and three laboratory hours per week. Scheduled field trips are required.
MSCI 536
Ichthyology. [=BIOL 536] (4) (Prereq: consent of instructor; BIOL 315 or MSCI 302) Phylogeny, morphology, behavior, and ecology of fishes. Three lecture and three laboratory hours plus three field trips to be arranged.
MSCI 537
Aquaculture. [=BIOL 537] (3) Introduction to the practical and scientific aspects of the commercial culture of freshwater and marine organisms. Three lecture hours per week. One all-day field trip required.
MSCI 538
Behavior of Marine Organisms. (4) (Prereq: consent of instructor) The identification of behavioral adaptations of estuarine and marine organisms: their ecology, physiology. development, and evolutionary history; field observations.
MSCI 545
Geological Oceanography. [=GEOL 545] (3) (Prereq: consent of instructor required for undergraduates only) A comprehensive study of the origin and development of the major structural features of the ocean basins and the continental margins. Discussion of the techniques used in obtaining geologic data and the interpretation of sedimentary processes, vulcanism, and the stratigraphy of the ocean basins.
MSCI 550
Sedimentary Simulations and Sequence Stratigraphy. [=GEOL 550] (4) (Prereq: GEOL 301 or consent of instructor) Problems of sequence stratigraphy resolved with graphic computer simulations. Sedimentary fill of basins by carbonates and/or clastics tracked as a function of rate of sediment accumulation, tectonic behavior and sea level. Includes laboratory.
MSCI 552
Population Genetics. {=BIOL 552} (3) (Prereq: BIOL 301, MSCI 302, and BIOL 303) An introduction to the principles of population genetics, with emphasis on the origin, maintenance, and significance of genetic variation in natural populations.
MSCI 553
Marine Sediments.[=GEOL 553] (3) (Prereq: GEOL 516 or consent of instructor) Marine sedimentary environments; physical and biological factors which control the formation and distribution of modern marine sediments.
MSCI 557
Coastal Processes. [=GEOL 557] (3) (Prereq: consent of instructor) Physical and geological processes controlling the formation and evolution of beach, barrier, and nearshore environments. including discussion of coastal management issues. Field trip(s) to coastal environments.
MSCI 566
Ecosystem Analysis. (3) (Prereq: consent of instructor) The formulation and simulation of compartment models of marine and terrestrial ecosystems with complex nutrient cycling, food chains, and energy flow. Analog and digital simulation techniques. Ecosystem stability and sensitivity. Organization, structure, and diversity of an ecosystem.
MSCI 568
Introduction to Micrometeorology. [=GEOL 568] (3) (Prereq: PHYS 201 and MATH 14 1, or consent of instructor) Small-scale processes in the atmospheric boundary layers, including energy budget, radiation, soil heat transfer, humidity, viscous flows, turbulence, momentum and heat exchanges, evaporation, and marine atmospheric boundary layer.
MSCI 575
Marine Ecology. [=BIOL 575] (3) (Prereq: CHEM 101 and BIOL 301 or MSCI 302) Structure. dynamics, and interactions between populations and communities in marine ecosystems. Three lecture hours per week. Attendance at designated departmental seminars is required.
MSCI 575L
Marine Ecology Laboratory. [=BIOL 575L] (1) (Prereq or coreq: MSCI 575) Laboratory and field exercises in coastal environments. Three hours per week plus field trips.
MSCI 577
Ecology of Coral Reefs. [=BIOL 577](3) (Prereq: consent of instructor) Principles of organization, structure, productivity, and biological diversity of coral reef ecosystems, with emphasis on their sensitivity and stability. Three lecture hours per week plus a two-week field experience on a Caribbean coral reef.
MSCI 579 Air-Sea Interaction (3). {=GEOL 579} (Prereq: consent of instructor). The atmosphere and the ocean form a coupled system, exchanging heat, momentum and water at the air-sea interface. The course introduces the basic concepts of the air-sea interaction: ocean circulation, surface fluxes, energy budgets, transfer of heat, water, and gases across the interface; Kelvin and Rossby waves; mixed layers and thermoclines; large-scale air-sea interaction.
MSCI 580 Satellite Oceanography. [=GEOL 580] (3) For students wishing to specialize in Earth observation using principles of remote sensing and their applications to ocean processes. Hands-on experience is gained through research projects using data processing and image analysis. Three lecture hours per week.
MSCI 581
Estuarine Oceanography. [=GEOL 581] (3) (Prereq: MSCI 301 or consent of instructor) Estuarine kinematics and dynamics; classification of estuaries; estuarine circulation and mixing.
MSCI 582
Marine Hydrodynamics. [=GEOL 582] (3) (Prereq: differential equations. PHYS 201 or 211, or consent of instructor) Basic principles of fluid statics and dynamics. Conservation of mass, momentum, and energy: viscosity, vorticity, and boundary layers with examples from the marine environment. Applications to and analysis of ocean currents and waves.>
MSCI 583
Geology and Geochemistry of Salt Marshes. [=GEOL 583] (3) (Prereq: consent of instructor) Geological and geochemical processes in salt marshes. Methods of geological research in marshes including instrumental techniques, sampling design, and data analysis. Two lectures per week plus four weekends of project oriented fieldwork and/or equivalent lab work.
MSCI 585
Coastal Tropical Oceanography. (3) (Prereq: MSCI 301 or consent of instructor). Descriptive oceanography of coastal tropical environments, emphasizing the physical oceanography of coral reefs. The course includes an extended field trip to a tropical ocean environment. SCUBA certification is urged but not required.>
MSCI 716
Eustasy and Global Variations in Sequence Stratigraphy. [=GEOL 716] (3) Relationship of sequence stratigraphy to sea level variations, tectonics and sedimentation. Construction and analyses of paleogeographic maps, regional cross-sections. and chronostratigraphic charts.
MSCI 750
Advanced Biological Oceanography. [=BIOL 750](3) (Prereq: BIOL 650 or consent of instructor) Three lecture hours per week.
MSCI 752
Marine Biogeochemistry. {=BIOL 752} (3) (Prereq: consent of instructor) Biological, chemical, geological, and physical processes that influence the cyling of major bioactive elements (C, O, N, P, S) in marine waters and sediments.
MSCI 754
Oceanographic Techniques. (1) (Prereq: consent of the instructor) Shipboard experience with basic techniques used by geological, physical, chemical, and biological oceanographers.
MSCI 758
Special Topics in Marine Science. (1-3) (Prereq: permission of the instructor).
MSCI 767
Ecological Modeling and Environmental Planning. [=ENHS 767; BIOL768](4) (Prereq: MATH 121 or equivalent, ecology, ENHS 660 or permission of instructor) Concepts in systems of models and computer simulations in examining environmental interactions, predicting environmental impact, and facilitating the process of environmental planning. Lab practice in analog and digital simulation and data interpretation.
MSCI 769
Reproductive Ecology. [=BIOI, 769] (3) (Prereq: BIOL 570 or consent of instructor) Theoretical aspects and examples ofthe variety of reproductive and life history patterns found in animals and plants as adaptations to various environmental constraints. Three lecture hours per week.
MSCI 777, MSCI 778
Current Topics in Marine Ecology for Teachers. (3 each) Primarily for teachers. Marine Science materials with emphasis on coastal environments. Field exercises.
MSCI 781
Physical Oceanography.[=GEOL 781](3) (Prereq: consent of instructor) Geographic and hydrodynamic aspects of oceanography, with emphasis on estuaries. Physical properties of seawater and theories and methods involved in ocean currents, air-sea interaction, waves, and tides.
MSCI 782
Chemical Oceanography. [=GEOL 782] (3) (Prereq: consent of instructor) Chemical characteristics of sea water, distribution of properties, and chemical processes in the oceans, with emphasis on estuaries.
MSCI 783
Oceanographic Time Series Analysis. [=GEOL 783] (3) (Prereq: consent of instructor) Techniques in the analysis of oceanographic data sequences, including filtering techniques, fast Fourier transformers, and empirical orthogonal functions.
MSCI 784
Geophysical Fluid Dynamics. [=GEOL 784] (3) (Prereq: MATH 241 or ENGR 360 or GEOL/MSCI 582 or GEOL/MSCI 781) Equations governing the large-scale dynamics of the atmosphere and ocean, rotational influence, shallow water equations, vorticity, quasigeostrophic dynamics, Rossby waves, energy and entropy, and geostrophic turbulence.
MSCI 785
Atmospheric Dynamics. [=GEOL 785] (3) (Prereq: GEOL/MSCI 781) Elementary applications of the basic equations, scale analysis, planetary boundary layer, atmospheric oscillations, synoptic and mesoscale systems, hydrodynamic instability, cyclogenesis, frontogenesis, energy cycle, momentum budget. and tropical motion systems.
MSCI 790
Directed Individual Studies in Marine Science. (1-6) (Prereq: consent of instructor) Directed research topics to be individually assigned and supervised by graduate faculty.
MSCI 798
Research in Marine Science. (1-9) Practicum designed to give MS and PhD students in-depth experience with research techniques prior to preparation of theses and dissertations. (Pass/Fail Grading)
MSCI 799
Thesis Preparation. (1-9)
MSCI 899
Dissertation Preparation. (1-12)
 
BIOL 534
Animal Behavior (3) (Prereq: BIOL 301 or MSCI 311) A comparative survey of behavior patterns of animals from protists to humans and the physiological mechanisms underlying behavior.
BIOL 534L
Animal Behavior Lab (1) (Prereq or coreq: BIOL 534) Observational and experimental methods used in classifying animal behavior patterns and in determining underlying control mechanisms. One three-hour laboratory per week.
BIOL 543
Comparative Physiology (3) (Prereq: BIOL 302 or MSCI 311) A study of phylogeny of physiological systems and functional mechanisms involved in the maintenance of life in zoological forms. Three lecture hours per week.
BIOL 543L  
Comparative Physiology Laboratory (1) (Coreq: BIOL 543) Laboratory exercises to illustrate principles from BIOL 543. Three hours per week.
BIOL 550  
Principles of Biochemistry. {=CHEM 541} (3) (Prereq: CHEM 334 or the equivalent) A survey of fundamentals of biochemistry. Three lecture hours per week.
BIOL 550L  
Principles of Biochemistry Laboratory. {=CHEM 541L} (1) (Prereq or coreq: CHEM 550) Three laboratory hours per week.
BIOL 570
Principles of Ecology (3) (Prereq: BIOL 301 or MSCI 311) Interactions of organisms and the environment; ecosystem structure and functions. Three lecture hours per week.
BIOL 570L
Principles of Ecology Lab (1) (Prereq or coreq: BIOL 570) Three hours per week.
BIOL 640
Microbial Ecology. (3) (Prereq: BIOL 431 and either BIOL 301 or MSCI 311) Interactions of microorganisms with each other, with more complex organisms, and with their environments. Three lecture hours per week.
BIOL 641
Biophysical Ecology. (3) (Prereq: BIOL 301; MATH 141 or MATH 122) This course examines how the mechanisms by which animals and plants interact with their physical environments influence organismal physiology.
BIOL 643
Advanced Microbiology (3) (Prereq: BIOL 302 and 431) The taxonomy, morphology, metabolism, genetics, and ecology of microorganisms. Three lecture hours per week.
BIOL 651
Limnology (4) (Prereq: BIOL 301) A study of the aquatic environment and its biota. Three lecture and four laboratory hours per week.
BIOL 722
Aquatic Bacteriology (3) (Prereq: BIOL 330 or equivalent) The ecology and physiology of freshwater and marine bacteria. The functions of bacteria in aquatic habitats and the public health aspects of pollution as they relate to microbiology. Three lecture hours per week.
BIOL 722L
Aquatic Bacteriology Lab (1) (Prereq or coreq: BIOL 722) Three laboratory hours per week.
BIOL 727
Marine Phytoplankton (3) (Prereq: BIOL 627 and permission of instructor) Three lecture hours and one three-hour laboratory per week.
BIOL 728
Advanced Phycology (3) (Prereq: BIOL 627) Three lecture hours and one three-hour laboratory per week.
BIOL 729
The Biology of Fish (3) (Prereq: permission of instructor) Three lecture hours per week.
BIOL 730
The Biology of Fish Lab (3) (Prereq or coreq: BIOL 729) One seminar and six laboratory hours per week.
BIOL 731
Advanced Invertebrate Zoology 1 (3) (Prereq: invertebrate zoology or consent of instructor) Principles of systematics and an in-depth study of invertebrate phylogeny and ecology. Two lecture and three laboratory hours per week.
BIOL 755
Quantitative Ecology (3) (Prereq: BIOL 570 or consent of the instructor) An intensive field course centered around field problems in a variety of habitats (freshwater, terrestrial, estuarine). Students will use a variety of quantitative sampling methods to test ecological hypotheses on several two-day field trips.
BIOL 759
Physiological Ecology (3) Two lecture and three laboratory hours per week.
BIOL 760
Electron Microscopy (3) (Prereq: permission of instructor) Three lecture hours a week. Theory and design of modern electron microscopes; advancement in the theory and practice of specimen preparation of biological materials; interpretation of ultrastructure of cells and tissues.
BIOL 762
Wetlands Ecology. (3) A survey of the structure and function of wetland ecosystems emphasizing the current literature.
 
CHEM 511
Advanced Inorganic Chemistry (3) (Prereq: CHEM 541) Consideration of atomic structure, valence, complex compounds, and systematic study of the periodic table.
CHEM 541
Physical Chemistry (3) (Prereq: CHEM 112, MATH 241; prereq or coreq: PHYS 212 or PHYS 207 or consent of instructor) Chemical thermodynamics and kinetics.
CHEM 541L
Physical Chemistry Lab (1) (Prereq: CHEM 321L or SCCC 104 or consent of instructor; prereq or coreq: CHEM 541) Applications of physical chemical techniques. Three laboratory hours and one recitation hour per week.
CHEM 542
Physical Chemistry (3) (Prereq: CHEM 112, PHYS 212 or PHYS 207, MATH 241 or consent of instructor) Spectroscopy, statistical mechanics, and chemical applications of quantum mechanics.
CHEM 542L
Physical Chemistry Lab (1) (Prereq: CHEM 321L or SCCC 104 or consent of instructor; prereq or coreq: CHEM 542) Applications of physical chemical techniques. Three laboratory hours and one recitation hour per week.
CHEM 621
Instrumental Analysis. (3) (Prereq or Coreq: CHEM 541, and CHEM 541L or CHEM 591) Chemical instrumentation including electronics, signal processing, statistical analysis, molecular/atomic spectroscopy, electrochemical methods, chromatography, and mass spectrometry. Three lecture hours per week.
CHEM 621L
Instrumental Analysis. (1) (Prereq: CHEM 321/321L; prereq or coreq: CHEM 541, 621, and CHEM 541L or 591) Chemical instrumentation laboratory with environmental, forensic, and biotechnology applications. Three laboratory hours per week.
CHEM 623
Introductory Environmental Chemistry. (3) (Prereq: CHEM 321, CHEM 333, and MATH 142) Study of the chemical reactions and processes that affect the fate and transport of organic chemicals in the environment. Three lecture hours per week.
CHEM 723
Separation Methods in Analytical Chemistry. (3) (Prereq: consent of instructor) Modern techniques for analytical separations including distillation, extraction, gas chromatography, and liquid chromatography. Basic theory and practical applications. Three lecture hours per week.
CHEM 741
Chemical Thermodynamics (3) (Prereq: CHEM 542) A development of classical thermodynamics and its application to chemical changes.
 
EMCH 501
Engineering Analysis I(3) (Prereq: MATH 242) Engineering applications of solution techniques for ordinary and partial differential equations, including Sturm-Liouville theory, special functions, transform techniques, and numerical methods.
EMCH 502
Engineering Analysis II (3) (Prereq: MATH 242) Engineering applications of optimization methods, calculus of variations including approximate methods, and probability concepts. 
EMCH 741
Viscous and Turbulent Flow (3) Viscosity. The Navier-Stokes equation, its formulation and its properties. Exact solutions of the flow at low Reynolds number. Flow at high Reynolds number. The momentum theory of boundary layer. Turbulent flows.
EMCH 751
Advanced Heat Transfer (3) Development of the energy equation for convection and some exact solutions. Approximate analysis of the boundary layer by integral methods. Analogy between heat and momentum transfer. Experimental results.
EMCH 794
Thermodynamics (3) (Prereq: EMCH 354 and EMCH 394) An advanced treatment of thermodynamics stressing fundamentals. Application of first and second laws; study of properties and criteria for reactive, non-reactive, and coupled systems.
ECIV 751
Water and Wastewater Treatment Theory I(3) (Prereq: ECIV 750) Physical and chemical water and wastewater treatment processes. Topics include mixing, coagulation, sedimentation, filtration, oxidation, absorption, and ion exchange.
ECIV 752
Water and Wastewater Treatment Theory II (3) (Prereq: ECIV 750) Biological water and wastewater treatment process. Topics include activated sludge, biofilms, nutrient removal, lagoons, and sludge treatment and disposal.
ECIV 755
Industrial Wastewater Treatment (3) (Prereq: ECIV 751 or 752) Industrial sources, characteristics, and treatment plant design.
ECIV 765
Erosion and Sediment Control. (3) (Prereq: ECIV 562) Erosion, sediment transport, methods for control, pond hydraulics and performance, nonpoint source pollution, stream water quality.
ENHS 761
Numerical Methods in Subsurface Hydrology. {=GEOL 775} (3) Formation of groundwater flow and solute transport problems: theory and practice, numerical methods, solution techniques.
 
GEOG 510
Systematic Geography (3) Spatial analysis of selected geographical phenomena.
GEOG 531
Quantitative Methods in Geographic Research (3) A survey of basic quantitative approaches for handling and interpreting geographically related data; univariate and bivariate procedures applicable to a variety of problems.
GEOG 541
Advanced Cartography (3) (Prereq: GEOG 341 or consent of instructor) Planning, compiling, constructing, and evaluating thematic maps. Theory and practice in scribing, separation and screening, color proofing, and map reproduction. Discussions of the process of map communication and the ways the cartographer can improve that communication.
GEOG 543
Computer Mapping (3) Automated techniques to portray data spatially. Analysis of grid, polygon, and single point techniques for thematic mapping. Study of statistical plots and graphs. Spatial and non-spatial data displays.
GEOG 545
Meteorology (4) (Prereq: GEOG 202 or equivalent) Analysis of synoptic-scale circulation using weather maps, soundings, cross sections, thermodynamic diagrams, numerical models, and imagery.
GEOG 546
Applied Climatology (4) Analysis of climate applications in natural and human-modofied environments. Content may include water resources, solar energy, urban planning, air quality, agriculture, and tourism. Course work includes lab and field experimentation.
GEOG 551
Principles of Remote Sensing (3) Introduction to remote sensing. A variety of imaging systems including black and white, color, and high altitude color infrared photographs, LANDSAT, thermal infrared, and active microwave. Use of remote sensing for studying the extra-terrestrial environment and earth weather systems.
GEOG 554
Spatial Programming (3) Computer programming of spatial problems; spatial statistical analysis, interactive graphics, and computer maps.
GEOG 555
Computer Cartography (3) (Prereq: GEOG 554 or equivalent) Theory and application of mathematical and analytical methods to solve cartographic problems. Design of computer algorithms for the analysis and display of spatial data.
GEOG 751
Digital Techniques of Remote Sensing (3) (Prereq: GEOG 551 and course in computer programming or consent of instructor) Introduction to the fundamental principles and methods of digital image processing of remotely sensed data. Algorithms are discussed for preprocessing, enhancement, and classification mapping of digital data for agricultural, urban, geological, and environmental problems.
GEOG 763
Geographical Information Systems (3) (Prereq: GEOG 563) Theory and application of modern automated approaches to handling geographic data. Includes computer oriented procedures for the input, analysis and display of spatial data. Areas covered range from census address matching to statewide natural resource systems.
 
GEOL 508
Palynology (3) (Prereq: consent of instructor) Fundamentals of pollen analysis including morphology of modern and fossil forms, use of pollen and spores for correlation, dating, establishing phylogenetic trends, and reconstruction of ancient environments. Two lectures plus one two-hour lab per week.
GEOL 516
Sedimentology (4) (Prereq: GEOL 325, 522 or the consent of instructor) Modern concepts of sediment composition, sedimentary facies, depositional environments, and stratigraphy. Includes laboratory.
GEOL 518
Surface to Subsurface Stratigraphy (3) (Prereq: consent of instructor) Surface to subsurface stratigraphic interpretation and techniques; litho- and biostratigraphy; geophysical log interpretation and subsurface presentation.
GEOL 520
Isotope Geology and Geochronology (3) (Prereq: consent of instructor) Dating techniques for Pleistocene deposits, sediments, archaeological materials, igneous and metamorphic rocks.
GEOL 536
Geophysics (4) (Prereq: PHYS 211, 212; MATH 141, 142, or equivalent) Introduction to geophysical exploration methods.
GEOL 546
Marine Geophysics (3) Introduction to the nature and structure of the ocean floor as revealed by geophysical techniques. Two hours lecture and three hours laboratory.
GEOL 570
Environmental Hydrogeology (3) (Prereq: GEOL 101 and CHEM 111 or their equivalents) Environmental considerations of the hydrologic cycle, occurrence and movement of ground water, aquifer analysis, and water well emplacement and construction. Water quality, pollution parameters, and the geochemistry of selected natural systems. The effects of environmental problems, waste disposal, and urban development upon the aqueous geochemical regime.
GEOL 713
Environmental Aspects of Paleontology (3) (Prereq: consent of the instructor) Analysis of current thought and current research in paleoecology and taphonomy.
GEOL 722
Aqueous Geochemistry (3) (Prereq: consent of the instructor) Construction of mineral stability and Eh-pH diagrams from thermodynamic data and application to problems in chemical oceanography, weathering, chemistry of natural waters, and ore deposition.
GEOL 723
Clay Mineralogy (3)
GEOL 750
Basin Analysis Seminar (3) Development of the stratigraphic systems; detailed analysis of the aims, working methods, and relations between litho-, bio-, and chronostratigraphy. Three lecture hours per week with occasional field trips.
GEOL 751
Carbonate Petrology (3) Detailed analysis of the processes and products of carbonate sedimentation, diagenesis, and lithification, with special emphasis upon the role of organisms in forming carbonate sediments and sedimentary rocks. Three lecture hours per week with occasional field trips.
 
LAWS 731
Environmental Law (3)
LAWS 733
Environmental Law Seminar (3)
POLI 760
American Government and Politics (3)
POLI 774
The Public Policy Process (3)
POLI 777
Policy Evaluation (3)
 
MATH 520
Ordinary Differential Equations (3) (Prereq: MATH 544 or 526; or consent of department) Differential equations of the first order, linear systems of ordinary differential equations, elementary qualitative properties of nonlinear systems.
MATH 521
Boundary Value Problems and Partial Differential Equations (3) (Prereq: MATH 520 or 241 and 242) Laplace transforms, two-point boundary value problems and Green's functions, boundary value problems in partial differential equations, eigenfunction expansions and separation of variables, transform methods for solving PDE's, Green's functions for PDE's, and the method of characteristics.
MATH 526
Numerical Linear Algebra (4) (Prereq: MATH 241) Matrix algebra, Gauss elimination, iterative methods; overdetermined systems and least squares; eigenvalues, eigenvectors; numerical software. Computer implementation. Three lectures and one laboratory hour per week. Credit may not be received for both MATH 526 and MATH 544.
MATH 527
Numerical Analysis [CSCI 561] (3) (Prereq: MATH 242 or 520) Interpolation and approximation of functions; solution of algebraic equations; numerical differentiation and integration; numerical solutions of ordinary differential equations and boundary value problems; computer implementation of algorithms.
MATH 544
Linear Algebra (3) (Prereq: MATH 241) Matrix algebra, solution of linear systems; notions of vector space, independence, basis, dimension; linear transformations, change of basis; eigenvalues, eigenvectors, Hermitian matrices, diagonalization; Cayley-Hamilton theorem. Credit may not be received for both MATH 526 and MATH 544.
MATH 723
Advanced Differential Equations (3) (Prereq: MATH 721 or consent of instructor) Advanced topics in ordinary and partial differential equations.
MATH 724
Numerical Differential Equations (3) Techniques for numerically solving differential equations; includes finite difference methods, Galerkin methods, finite element method, and collocation.
MATH 726
Numerical Analysis I [CSCI 760] (3) (Prereq: MATH 554 or equivalent and MATH 706) Error analysis; approximation of functions by algebraic polynomials, splines, and trigonometric polynomials; divided differences; numerical differentiation; quadrature including Gaussian and Romberg integration; a thorough study of numerical ODEs.
MATH 727
Numerical Analysis II [CSCI 761] (3) (Prereq: MATH 726) Continuation of MATH 726.
 
PHYS 503
Mechanics (4) (Prereq: PHYS 206, MATH 242 or 520) Classical mechanics of particles, systems, and rigid bodies; discussion and application of Lagrange's equations.
PHYS 506
Thermal Physics (3) (Prereq: a grade of C or better in PHYS 207) Principles of equilibrium thermodynamics, kinetic theory, and introductory statistical mechanics.
 
STAT 510
Introduction to Applied Probability (3) (Prereq: MATH 142 with a grade of C or higher) Probability spaces and Markov chains, random variables and expectations, tree measures and transition diagrams, balance equations and limiting distributions, queueing models and Little's Formula, simulation.
STAT 515
Statistical Methods I (3) (Prereq: a grade of C or higher in MATH 111 or equivalent) Applications and principles of descriptive statistics, elementary probability, sampling distributions, estimation, and hypothesis testing. Inference for means, variances, proportions, simple linear regression, and contingency tables. Statistical packages such as SAS.
STAT 516
Statistical Methods II (3) (Prereq: a grade of C or higher in STAT 515 or STAT 509 or equivalent) Applications and principles of linear models. Simple and multiple linear regression, analysis of variance for basic designs, multiple comparisons, random effects, and analysis of covariance. Statistical packages such as SAS.
STAT 518
Nonparametric Statistical Methods (3) (Prereq: A grade of C or higher in STAT 515 or equivalent) Application of nonparametric statistical methods rather than mathematical development. Levels of measurement, comparisons of two independent populations, comparisons of two dependent populations, test of fit, nonparametric analysis of variance, and correlation.
STAT 519
Sampling (3) (Prereq: STAT 515 or equivalent) Techniques of statistical sampling in finite populations with applications in the analysis of sample survey data. Topics include simple random sampling for means and proportions, stratified sampling, cluster sampling, ratio estimates, and two-stage sampling.
STAT 700
Applied Statistics I (3) Introduction to probability and the concepts of estimation and hypothesis testing for use in experimental, social, and professional sciences. One and two-sample analyses, nonparametric tests, contingency tables, sample surveys, simple linear regression, various statistical packages. Not to be used for M.S. or Ph.D. credit in statistics or mathematics.
STAT 701
Applied Statistics II (3) (Prereq: STAT 700 or consent of department) Continuation of STAT 700. Simple linear regression, correlation, multiple regression, fixed and random effects analysis of variance, analysis of covariance, experimental designs, some multivariate methods, various statistical packages. Not to be used for M.S. or Ph.D. credit in statistics or mathematics.
 

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