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Introduction to widely-used numerical methods through application to civil and environmental engineering problems. Emphasis will be on implementation and application rather than the mathematical theory behind the numerical methods.

Prerequisite: ²Ñ´¡Ìý302, ²Ñ´¡Ìý341, or ²Ñ´¡Ìý401

Typically offered in Spring and Summer

Computational approaches to support civil planning, analysis, evaluation and design. Applications to various areas of civil engineering, including construction, structures, transportation and water resources.

Prerequisite: °ä³§°äÌý111 and (²Ñ´¡Ìý341 or ²Ñ´¡Ìý305)

Typically offered in Fall only

Computing research and advanced technologies of interest to civil engineers. Issues in the design and development of engineering software systems and engineering modeling of structures, assemblies, processes and phenomena. Additional topics from the most predominant and recent developments and advances in civil engineering computing.

Prerequisite: CE 390

Typically offered in Fall and Spring

Mass balances, equation of motion for small particles, small particle interactions, particle collision/fast coagulation, partitioning, adsorption isotherms, fluid mechanics, diffusion, interphase mass transport and resistance models, elementary/non-elementary reactions, residence time distributions.

Prerequisite: °ä·¡Ìý282, Graduate standing

Typically offered in Spring only

Concepts in environmental microbiology including cell structure and function, phylogeny, survey of environmentally relevant microbial groups, metabolism under different redox conditions, catabolism of macromolecules, methods in microbial ecology. Relationships to engineering processes and systems will be emphasized.

Prerequisite: Graduate standing in CE, BAE, CHE, or SSC

Typically offered in Fall only

Inorganic and organic environmental chemistry including acid-base equilibria, precipitation, complexation, redox reactions, and natural organic matter. The role of these factors in controlling the fate of contaminants in engineered treatment systems and natural environments.

Prerequisite: Graduate standing in CE, CHE, BAE, NE, MEA, SSC

Typically offered in Fall only

Introduction to air pollution control fundamentals and design. Fundamentals including physics, chemistry and thermodynamics of pollutant formation, prevention and control. Design including gas treatment and process and feedstock modification. Addressed pollutants including sulfur dioxide, nitrogen oxides, particulate matter, volatile organic compounds, hydrocarbons and air toxins. Investigation of current research. Credit for both °ä·¡Ìý476 and °ä·¡Ìý576 is not allowed.

Prerequisite: CE 375, CE 470, °ä±á·¡Ìý315 or MAE 301, Corequisite: ³§°ÕÌý511 or 515

Typically offered in Fall only

Solid waste management including generation, storage, transportation, processing, land disposal and regulation. Processing alternatives including incineration and composting. Integration of policy alternatives with evaluation of engineering decisions. Investigation of current research. Credit is only allowed for one of °ä·¡Ìý477 and °ä·¡Ìý577.

Prerequisite: °ä·¡Ìý373

Typically offered in Spring only

Interdisciplinary analysis of energy technology, natural resources, and the impact on anthropogenic climate change. Topics include basic climate science, energetics of natural and human systems, energy in fossil-fueled civilization, the impact of greenhouse gas emissions on climate, and technology and public policy options for addressing the climate challenge. The course is quantitative with a strong emphasis on engineering and science.

Prerequisite: Senior standing

Typically offered in Fall only

Introduction to: risk assessment, health effects, and regulation of air pollutants; air pollution statistics; estimation of emissions; air quality meteorology; dispersion modeling for non-reactive pollutants; chemistry and models for tropospheric ozone formation; aqueous-phase chemistry, including the "acid rain" problem; integrated assessment of air quality problems; and the fundamentals and practical aspects of commonly used air quality models. Credit is allowed only for one of CE/²Ñ·¡´¡Ìý479 or CE/²Ñ·¡´¡Ìý579.

Prerequisite: °ä·¡Ìý373, CE 382 or °ä±á·¡Ìý311(CHE Majors), or ²Ñ·¡´¡Ìý421(MEA Majors), Corequisite: ³§°ÕÌý370, ST 380(MEA Majors)

Typically offered in Spring only

This course gives an introduction to water wave mechanics for engineers and scientists. Topics include wave generation, propagation, kinematics, transformation, breaking, forces, and dissipation.

Prerequisite: °ä·¡Ìý282 or permission of instructor.

Typically offered in Spring only

Coastal environment, engineering aspects of mechanics of sediment movement, littoral drift, beach profiles, beach stability, meteorological effects, tidal inlets, inlet stability, shoaling, deltas, beach nourishment, mixing processes, pollution of coastal waters, interaction between shore processes and man-made structures, case studies.

C- or better in °ä·¡Ìý282.

Typically offered in Spring only

Introduction to ground water hydraulics and hydrology. Hydrologic cycle, basic ground water hydraulics, numerical solution of governing equations, ground water hydrology of North Carolina, well design and construction, flow net development, and ground water contamination sources.

Prerequisite: °ä·¡Ìý282

Typically offered in Fall only

Hydrologic principles underlying procedures for surface water modeling; applications of common hydrologic models to actual watersheds.

Prerequisite: °ä·¡Ìý383

Typically offered in Fall only

Extension of the concepts of fluid mechanics and hydraulics to applications in water supply, water transmission, water distribution networks and open channels to include water-supply reservoirs, pump and pipe selection, determinate and indeterminate pipe networks, and analysis of open channels with appurtenances.

Prerequisite: °ä·¡Ìý339 and °ä·¡Ìý383

Typically offered in Fall only

New or special course on recent developments in some phase of civil engineering. Specific topics and prerequisites identified for each section and varied from term to term.

Typically offered in Fall and Spring

Discussions and reports of subjects in civil engineering and allied fields.

Typically offered in Fall and Spring

Design and implementation issues for building real-world computer-aided engineering systems. Engineering data modeling; data definition, query and manipulation methodologies; application program interfaces; problem-oriented languages and software supervisors; and knowledge-based systems to support engineering design and decision making.

Prerequisite: °ä·¡Ìý537 or 538

Typically offered in Spring only

Physical-chemical treatment processes for the treatment of water, including sedimentation, flotation, filtration, coagulation, oxidation, disinfection, precipitation, adsorption, and membrane treatment processes. Current issues in drinking water quality and treatment are discussed.

Prerequisite: °ä·¡Ìý574, Corequisite: °ä·¡Ìý571

Typically offered in Spring only

Course covers the identification, transport, and fate of hazardious substances in the environment; quantification of human exposures to such substances; dose-response analysis; and uncertainty and variability analysis. The general risk assessment framework, study design aspects for exposure assessment, and quantitative methods for estimating the consequences and probablity of adverse health outcomes are emphasized.

Prerequisite: ³§°ÕÌý511 or 515

Typically offered in Spring only

This course is offered alternate odd years

Principles of microbiological, biochemical, and biophysical processes used in environmental waste treatment and remediation processes, with particular emphasis on water quality control processes.

Prerequisite: °ä·¡Ìý573, °ä·¡Ìý574

Typically offered in Fall only

Movement and fate of pollutant discharges. Development and application of analytical solutions and numerical models. Role of these models in planning and management. Mathematical programming models. Alternative management strategies: direct regulation, charges and transferable discharge permits. Multiple objectives: cost, equity and certainty of outcome.

Prerequisite: °ä·¡Ìý339 and °ä·¡Ìý282

Typically offered in Fall only

Application of systems analysis methods to design, analysis and management of water resources and environmental engineering.

Prerequisite: °ä·¡Ìý339, °ä·¡Ìý775

Typically offered in Spring only

This course is offered alternate years

Local, regional and global scale chemical interactions, transport and behavior of trace gases (sulfur carbon, nitrogen, hydrocarbon, and photo-chemical oxidants) in the atmosphere. covers three primary elements of air quality: anthropogenic and natural emissions of trace gases; interactions of the pollutants in the atmosphere; and monitoring and sampling of gaseous and particulate pollutants.

Prerequisite: (°ä±áÌý201 or °ä±áÌý203) and MEA(CE) 479

Typically offered in Spring only

Introduction to movement and attenuation of contaminants in the subsurface. Common contaminant sources; advection and dispersion; numerical modeling of contaminant transport; chemical and biological processes in the subsurface; and ground water restoration technology.

Prerequisite: °ä·¡Ìý584 and 574

Typically offered in Spring only

Typically offered in Fall and Spring

Typically offered in Fall and Spring

Characterization and measurement of rates of homogeneous and heterogeneous reactions. Design and analysis of chemical reactors. Credit for both °ä±á·¡Ìý446 and °ä±á·¡Ìý546 is not allowed.

Prerequisite: °ä±á·¡Ìý316

Typically offered in Fall only

Design of industrial processes which minimize or eliminate wastes. Regulations and the corporate organization of current pollution prevention efforts. Current pollution prevention research. Product life cycle analysis and the application to design of more efficient processes.

Prerequisite: ±Ê³ÛÌý208, ²Ñ´¡Ìý341

Typically offered in Spring only

Application of price theory and benefit-cost analysis to public decisions related to resources and environment. Emphasis on evaluation of water supply and recreation investments, water quality management alternatives, public-sector pricing, common property resources and optimum management of forest and energy resources.

Prerequisite: EC(ARE) 301 or 401

Typically offered in Spring only

This course is offered alternate years

Theoretical tools and empirical techniques necessary for understanding of resource and environmental economics, developed in both static and dynamic framework. Discussions of causes of environmental problems, possible policies and approaches to nonmarket valuation. Analysis of resource use over time using control theory for both renewable and exhaustible resources.

Prerequisite: ·¡°ä³ÒÌý700

Typically offered in Fall only

Advanced study of selected topics in environmental and resource economics. Topics vary with interests of instructor and students.

Prerequisite: ·¡°ä³ÒÌý715

Typically offered in Spring only

Engineering economy analysis of alternative projects including tax and inflation aspects, sensitivity analysis, risk assessment, decision criteria. Emphasis on applications.

Prerequisite: Undergrad. courses in engineering economics and ST

Typically offered in Spring only

Rapid applications development (RAD) tools to design and implement database-based applications. The SQL database query language, a standard RAD environment and how to access information in a database from it, use of Visual Basic for Applications, and how to integrate these tools together to design and build engineering applications. Examples will be from manufacturing and production systems. Examples from manufacturing and production systems.

Typically offered in Fall, Spring, and Summer

The Bayesian approach to decision making, with numerous applications in engineering and business. Expected value maximization, decision trees, Bayes' theorem, value of information, sequential procedures and optimal strategies. Axiomatic utility theory and controversies, utility of money, theoretical and empirical determination of utility functions and relationship to mean-variance analysis. Brief introduction to multi-attribute problems, time streams and group decisions.

Prerequisite: ³§°ÕÌý371 or ³§°ÕÌý421

Typically offered in Spring only

Specification of attributes/criteria/objectives for complex decisions. Determination of alternatives, attribute weights and decision-making process. Graphical and weighted evaluation techniques. Multi-attribute utility, multi-objective/goal programming and analytic hierarchy process methodologies. Computer applications and case studies.

Typically offered in Spring only

Survey of mathematical methods for engineers and scientists. Ordinary differential equations and Green's functions; partial differential equations and separation of variables; special functions, Fourier series. Applications to engineering and science. May not be taken for graduate credit by Master's or Ph.D. students in Mathematics or Applied Mathematics. Credit for this course and ²Ñ´¡Ìý401 is not allowed.

Prerequisite: ²Ñ´¡Ìý341; credit not allowed for both ²Ñ´¡Ìý501 and ²Ñ´¡Ìý401

Typically offered in Fall, Spring, and Summer

Linear first order equations, method of characteristics. Classification of second order equations. Solution techniques for the heat equation, wave equation and Laplace's equation. Maximum principles. Green's functions and fundamental solutions.

Prerequisite: ²Ñ´¡Ìý425 or ²Ñ´¡Ìý511, ²Ñ´¡Ìý341, Corequisite: ²Ñ´¡Ìý426 or 512

Typically offered in Fall only

Wind structure in atmospheric surface layer and planetary boundary layer; temperature structure and stability; mixed layer and inversions; turbulence intensity and scale; meteorological factors affecting dispersion of pollutants; diffusion theories and models; diffusion and transport experiments; plume rise, fumigation and trapping; removal processes; effects of buildings and hills; effects of local winds.

Prerequisite: ²Ñ´¡·¡Ìý308 or ²Ñ·¡´¡Ìý455 or ²Ñ·¡´¡Ìý700

Typically offered in Spring only

Introduction to principles and practice of physical oceanography. The equation of state of seawater; energy transfer to the ocean by thermal, radiative and mechanical processes; the heat budget; oceanic boundary conditions; geographical distributionof oceanic properties; observational methods; conservation equations; simple waves and tides; physical oceanography of North Carolina coastal zone. Application of Fourier analysis techniques to interpretation of low-frequency motions in ocean and atmosphere. Review of Fourier method. Filtering of tidal signals. Spectral estimates and calculation of current ellipses. Identification of coherent motions and their empirical orthogonal modes. Data from field experiments used in lectures and homeworkassignments. Credit is not allowed for both ²Ñ·¡´¡Ìý460 and ²Ñ·¡´¡Ìý540

Prerequisite: ²Ñ´¡Ìý231 and ±Ê³ÛÌý212

Typically offered in Fall only

Quantitative study of sediment transportation in the marine environment including introduction to fluid mechanics and sediment transportation theory. Processes and products of sediment transportation in specific marine environments from estuaries todeep sea and the interpretation of sediment transport processes from sedimentary structures. Credit not allowed for both ²Ñ·¡´¡Ìý411 and ²Ñ·¡´¡Ìý562

Prerequisite: ²Ñ·¡´¡Ìý101 or ²Ñ·¡´¡Ìý200, ²Ñ´¡Ìý241, ±Ê³ÛÌý201 or ±Ê³ÛÌý205

Typically offered in Fall only

Introduction to: risk assessment, health effects, and regulation of air pollutants; air pollution statistics; estimation of emissions; air quality meteorology; dispersion modeling for non-reactive pollutants; chemistry and models for tropospheric ozone formation; aqueous-phase chemistry, including the "acid rain" problem; integrated assessment of air quality problems; and the fundamentals and practical aspects of commonly used air quality models. Credit is allowed only for one of CE/²Ñ·¡´¡Ìý479 or CE/²Ñ·¡´¡Ìý579

Prerequisite: CE 373,°ä·¡Ìý282; or °ä±á·¡Ìý311(CHE Majors); or ²Ñ·¡´¡Ìý421(MEA Majors), Corequisite: ³§°ÕÌý370; ST 380(MEA Majors)

Typically offered in Spring only

Topics include numerical solutions to ODEs/PDEs, atmospheric chemistry, cloud and aerosol microphysics, emission modeling, meteorological modeling, and model design, applications, and evaluation. It is targeted for students who would like to learn about air quality modeling and who are prospective air quality model users.

Prerequisite: °ä³§°äÌý112, ²Ñ·¡´¡Ìý425/525, °ä·¡Ìý479/579

Typically offered in Fall and Spring

The course provides foundations in methods for GIS-based surface analysis and modeling. The topics include proximity analysis with cost surfaces and least cost paths, multivariate spatial interpolation and 3D surface visualization. Special focus is on terrain modeling, geomorphometry, solar irradiation, visibility, and watershed analysis. Students are also introduced to the basic concepts of landscape process modeling with GIS and to the principles of open source GIS. Introductory level knowledge of GIS or surveying/ geomatics principles is required.

Typically offered in Fall and Spring

Basic concepts and laws governing motion of atmosphere and oceans developed from first principles, including approximations valid for environmental flows, kinematics, dynamics and thermodynamics of fluid flows as well as introduction to environmental turbulence. Credit is not allowed for both ²Ñ·¡´¡Ìý463 and ²Ñ·¡´¡Ìý700

Prerequisite: ²Ñ´¡Ìý241, ±Ê³ÛÌý208

Typically offered in Fall only

An understanding of aerosols as primary air pollutants, indoor versus outdoor pollution, transformation processes, prediction of atmospheric concentrations, scavenging of aerosols, transport of air pollutants on a regional scale, discussion of national experiments to characterize and study impact of urban-industrial pollution, tropospheric aerosol and weather, stratospheric aerosol, effect of aerosols on atmospheric warming and cooling and air-quality models.

Prerequisite: (°ä±áÌý201 or °ä±áÌý203) and (±Ê³ÛÌý205 or ±Ê³ÛÌý211), Corequisite: ²Ñ·¡´¡Ìý412

Typically offered in Spring only

This course is offered alternate years

Lagrangian vs. Eulerian descriptions of turbulence and diffusion. Statistical theories of absolute and relative diffusion from continuous and instantaneous releases. Effects of shear, thermal stratification and earth's rotation on atmospheric dispersion. Lagrangian similarity theories of diffusion in the surface layer and mixed layer. Random walk, Monte Carlo and large eddy simulations of atmospheric dispersion. Urban and regional dispersion models.

Prerequisite: ²Ñ´¡·¡Ìý550 or ²Ñ·¡´¡Ìý700 or ²Ñ·¡´¡Ìý510

Typically offered in Fall only

This course is offered alternate years

Special topics in earth sciences, provided to groups or to individuals.

Typically offered in Fall, Spring, and Summer

Application of energy conservation principles to a broad range of industrial situations with emphasis on typical equipment encountered as well as the effect of recent environmental regulations. Topics covered include: steam generators, pollution control, work minimization, heat recovery, steam traps, industrial ventilation, electrical energy management, and economics. Field trip to conduct tests and evaluate operation at three NCSU steam plants.

Prerequisite: ²Ñ´¡·¡Ìý302, ²Ñ´¡·¡Ìý310

Typically offered in Spring only

Fundamentals common to internal combustion engine cycles of operation. Otto engine: carburetion, combustion, knock, exhaust emissions and engine characteristics. Diesel engine: fuel metering, combustion, knock, and performance. Conventional and alternative fuels used in internal combustion engines.

Prerequisite: ²Ñ´¡·¡Ìý302

Typically offered in Fall only

Applications of thermodynamics, fluid mechanics, and heat transfer to thermal systems with an emphasis on system design and optimization. Design of heat exchangers. Analysis of engineering economics, including time value of money, present and future worth, payback period, internal rates of return, and cost benefit analysis. Review of component model for pipes, pumps, fans, compressors, turbines, evaporators, condensers and refrigerators. Simulation methods for finding the operating point for thermal systems. Design of thermal systems through methods of optimization.

Prerequisite: ²Ñ´¡·¡Ìý302, ²Ñ´¡·¡Ìý308, ²Ñ´¡·¡Ìý310

Typically offered in Fall and Spring

Introduction to integration of the governing partial differential equations of fluid flow and heat transfer by numerical finite difference and finite volume means. Methods for parabolic, hyper-bolic and elliptical equations and application to model equations. Error analysis and physical considerations.

Prerequisite: ²Ñ´¡Ìý501 or MA 512, ²Ñ´¡·¡Ìý550 or MAE 557, proficiency in the FORTRAN programming language is required

Typically offered in Fall only

Theory and practice of integrated natural resource management. Quantitative optimization, economics of multiple-use, compounding and discounting, optimal rotations, linear programming. Public and private management case studies and team projects.

Prerequisite: Senior standing in NR or ES or ETM or FOM or FWCB

Typically offered in Spring only

The course aims to introduce the various types of operations research models and techniques. We will address how to formulate a wide range of decision problems using an appropriate mathematical programming model and solve them using an appropriate algorithm or solver. The emphasis will be given to Linear Programming, Network Models, and Integer Programming. Some example applications of mathematical programming to be covered in this class include production planning, network analysis, project scheduling, logistics network design, fixed charge problems, set covering problem, etc.

Prerequisites: An introductory course in linear algebra and calculus.

Typically offered in Fall, Spring, and Summer

Basic concepts of linear, nonlinear and dynamic programming theory. Not for majors in OR at Ph.D. level.

Prerequisite: ²Ñ´¡Ìý242, ²Ñ´¡Ìý405

Typically offered in Fall only

Introduction including: applications to economics and engineering; the simplex and interior-point methods; parametric programming and post-optimality analysis; duality matrix games, linear systems solvability theory and linear systems duality theory; polyhedral sets and cones, including their convexity and separation properties and dual representations; equilibrium prices, Lagrange multipliers, subgradients and sensitivity analysis.

Prerequisite: An introductory linear algebra course similar to ²Ñ´¡Ìý405

Typically offered in Fall only

Introduction to methods for obtaining approximate solutions to unconstrained and constrained minimization problems of moderate size. Emphasis on geometrical interpretation and actual coordinate descent, steepest descent, Newton and quasi-Newton methods, conjugate gradient search, gradient projection and penalty function methods for constrained problems. Specialized problems and algorithms treated as time permits.

Prerequisite: Linear algebra or similar coursework (similar to ²Ñ´¡Ìý303, ²Ñ´¡Ìý405), and knowledge of a computer language, such as Python, MATLAB, Julia, for example.

Typically offered in Fall only

Basic concepts of graph theory. Trees and forests. Vector spaces associated with a graph. Representation of graphs by binary matrices and list structures. Traversability. Connectivity. Matchings and assignment problems. Planar graphs. Colorability. Directed graphs. Applications of graph theory with emphasis on organizing problems in a form suitable for computer solution.

Prerequisite: °ä³§°äÌý226 or ²Ñ´¡Ìý351.

Typically offered in Spring only

This course is offered alternate even years

An advanced mathematical treatment of analytical and algorithmic aspects of finite dimensional nonlinear programming. Including an examination of structure and effectiveness of computational methods for unconstrained and constrained minimization. Special attention directed toward current research and recent developments in the field.

Prerequisite: OR(IE,MA) 505 and ²Ñ´¡Ìý425

Typically offered in Spring only

General integer programming problems and principal methods of solving them. Emphasis on intuitive presentation of ideas underlying various algorithms rather than detailed description of computer codes. Students have some "hands on" computing experience that should enable them to adapt ideas presented in course to integer programming problems they may encounter.

Prerequisite: ²Ñ´¡Ìý405, OR (MA,IE) 505, Corequisite: Some familiarity with computers (e.g., °ä³§°äÌý112)

Typically offered in Spring only

This course is offered alternate years

Introduction to theory and computational aspects of dynamic programming and its application to sequential decision problems.

Prerequisite: ²Ñ´¡Ìý405, ³§°ÕÌý421

Typically offered in Spring only

Methods and techniques of analyzing, developing and evaluating public policies and programs. Emphasis given to benefit-cost and cost-effectiveness analysis and concepts of economic efficiency, equity and distribution. Methods include problem solving, decision making and case studies. Examples used in human resource, environmental and regulatory policy.

Prerequisite: Graduate standing or PBS status

Typically offered in Fall and Spring

Focus on formation and impact of environmental policy in the U. S. Examination on decision-making processes at all levels of government. Comparisons between political, economic, social and technological policy alternatives. Emphasis upon applicationof policy analysis in environmental assessment and consideration on theoretical perspectives on nature of the environmental crisis.

Prerequisite: Advanced Undergraduate standing including 12 hours of PS program, Graduate standing or PBS status

Typically offered in Fall only

Basic concepts of statistical models and use of samples; variation, statistical measures, distributions, tests of significance, analysis of variance and elementary experimental design, regression and correlation, chi-square.

Prerequisite: Graduate Standing

Typically offered in Fall, Spring, and Summer

Covariance, multiple regression, curvilinear regression, concepts of experimental design, factorial experiments, confounded factorials, individual degrees of freedom and split-plot experiments. Computing laboratory addressing computational issues and use of statistical software.

Prerequisite: ³§°ÕÌý511 or ³§°ÕÌý513 or ³§°ÕÌý517

Typically offered in Fall, Spring, and Summer

An introduction to the foundations of probability theory and mathematical statistics useful for research in engineering. Topics include descriptive statistics, probability, discrete and continuous random variables and probability distributions, joint probability distributions and random samples, point estimation, confidence intervals, hypothesis testing, and analysis of variance.

Prerequisite: Graduate standing

Typically offered in Fall and Spring

This course is intended to give students a background in the methods of statistical analysis and design of experiments that will assist them in conducting research and analyzing data in engineering. Concentration in this course will be on principles of the design of experiments and analysis of variance and regression including post-hoc tests, inference for simple regression, multiple regression, and curvilinear regression.

Prerequisite: ³§°ÕÌý515

Typically offered in Fall and Spring