## Courses

This is a listing of all Graduate courses offered by the department. Current term courses can be found on the Registrar's site.

### CEE 501 Environmental Engineering Fundamentals I: Atmospheric and Surface Processes

Course provides a fundamental basis for understanding atmospheric and surface processes in environmental engineering. Topics addressed include the structure, dynamics, and thermodynamics of the atmosphere; clouds and precipitation; atmospheric and aqueous chemistry; and biogeochemistry of surface waters. Topics are discussed and analyzed through the use of governing equations and concepts of environmental engineering. This is the first of a two-part course.

### CEE 502 Environmental Engineering Fundamentals II: Surface and Subsurface Processes

Course focuses on surface and subsurface processes in environmental engineering. Topics to be addressed include the evapotranspiration and energy fluxes, physical hydrology of the surface and subsurface, and transport and chemistry of subsurface flows. Topics are discussed and analyzed through the use of governing equations and concepts of environmental engineering. Second of a two-part course.

### CEE 505 Introduction to Probability Modeling in Civil Engineering and Environmental Sciences

An introduction to the treatment of uncertainty by the engineer and the scientist in a variety of situations. Special emphasis is on the direct application of all concepts and techniques to a broad range of problems in civil and environmental engineering, ecology, and hydrology. Stochastic modeling is stressed.

### CEE 507 Independent Study I

Under the direction of a faculty member, each student carries out an independent study. Prior to course registration, the student must complete the departmental Graduate Independent Study form by describing the work being undertaken, and have the form approved by the supervising faculty member and the director of graduate studies. 507 Fall, 508 Spring.

### CEE 508 Independent Study II

Under the direction of a faculty member, each student carries out an independent study. Prior to course registration, the student must complete the departmental Graduate Independent Study form by describing the work being undertaken, and have the form approved by the supervising faculty member and the director of graduate studies. Open only to graduate students. 507 Fall; 508 Spring.

### CEE 509 Directed Research

Under the direction of a faculty member, each student carries out research and presents the results. Directed research is normally taken during the first year of study.

At the end of the semester, students in CEE 509 make a poster presentation based on their CEE 509 research. The presentation is similar to poster presentations at professional meetings and conferences. All CEE 509 students present their work during a scheduled two-hour "CEE 509 Poster Presentation," which is normally scheduled during Reading Period. The overall CEE 509 grade is based on a term research grade, determined by the student's advisor and the presentation grade determined by faculty evaluation forms from the poster presentations. Students must submit a copy of their poster to the Graduate Student Administrator in a reduced size format printed on 8.5- by 11-inch paper.

PhD students are expected to enroll CEE 509 during the Spring semester of their first year of study.

### CEE 510 Research Seminar

This seminar is a continuation of CEE 509. Each student writes a report and presents research results. For doctoral students, the course must be completed one semester prior to taking general examinations.

At the end of the semester, students in CEE 510 must prepare, based on their research, an extended abstract (3-5 pages) and an oral presentation to the appropriate graduate program EEWR or MMS. The due date for that abstract will be one week before the oral presentation.

PhD students are expected to enroll in CEE 510 during the Fall semester of their second year of study.

### CEE 511 Design of Large-Scale Structures: Buildings

The design of large-scale buildings is considered from the conceptual phase up to the final design phase. The following issues are addressed in this course: building types, design codes, design of foundations, choice of different structural systems to resist vertical and horizontal loads, choice between different materials (steel versus concrete), design for wind and earthquake loading, construction management, and financial and legal considerations are examined in detail. Several computer codes for analysis and design of buildings are used in this course.

### CEE 512 Design of Large-Scale Structures: Bridges

The design of bridges is considered from the conceptual phase up to the final design phase. The course addresses the following issues: bridge types, design codes, computer modeling of bridges, seismic analysis and design, seismic retrofit design, inspection, maintenance and rehabilitation of bridges, movable bridges, bridge aerodynamics, and organization of a typical engineering firm, and marketing for engineering work. Several computer codes for analysis and design of bridges are used in this course.

### CEE 513 Introduction to Finite-element Methods

Basic concepts of matrix structural analysis. Direct stiffness method. Axial force member. Beam bending member. Formation of element stiffness matrix. Assembling of global stiffness matrix. Introduction of boundary conditions. Solution of linear algebraic equations. Special analysis procedures. The finite-element method. Introduction. Basic formulation. Plane stress and plane strain problems. Plate bending problems. The use of structural analysis and finite-element computer codes is emphasized throughout the course.

### CEE 514 Structural Dynamics and Earthquake Engineering

Analysis of forces and deformations in structures under dynamic loads. Idealization as discrete parameter systems. Single and multiple degrees of freedom. Response analysis under free vibration, harmonic, periodic, impulsive, and general dynamic loads. Time and frequency domains. Distributed parameter systems. Earthquake phenomena from the engineering point of view. Faulting and seismic waves. Measurement of strong ground motion. Influence of geology. The concept of response spectra, structural response to earthquakes, and design criteria.

### CEE 521 Continuum Mechanics

Indicial notation and Cartesian tensors; stress and kinematics of a continuum; field equations from the fundamental principles of conservation of mass, balance of linear and angular momenta, and conservation of energy; constitutive equations for linear elastic solid and ideal fluid; reduction of the three-dimensional equations of linear elasticity to those for the plane strain and plane stress theories; application to torsion, bending, and two-dimensional problems of elastostatics.

### CEE 522 Random Vibrations

A review of probability theory. It explores random processes: correlation functions, stationary random processes, ergodic theorem, and power spectral density function. Input-output relation of linear one-degree-of-freedom systems, multi-degree-of-freedom systems, and continuous systems are also studied. Simulation of stochastic processes, fields, and waves; Monte Carlo simulation; response to nonstationary and non-Gaussian random loads; response of nonlinear systems; earthquake and wind engineering applications are emphasized throughout the course.

### CEE 523 Mechanics of Dissipative Media

The development of constitutive equations for nonlinear, anisotropic visoelastic, and plastic media. It gives an analysis of plastic yielding, fatigue under cyclic loading, and failure. The course examines limit-analysis techniques; elastoplastic rate equations; finite deformation of plastic bodies; uniqueness and stability of incremental solutions; and loss of ellipticity, bifurcation phenomena and emergence of shear bands.

### CEE 524/MSE 532 Random Heterogeneous Materials

Composite materials, colloidal suspensions, porous media, polymer blends, polycrystalline materials, cracked solids, soils, foams, slurries, and biologic media, all examples of heterogeneous materials, are examined. The course focuses on formulations of the relationship between the macroscopic properties and microstructure of random heterogeneous materials. Transport, mechanical, electromagnetic, and chemical properties are examined. Topics include statistical characterization of the microstructure; composites with optimized properties; homogenization theory; effective-medium theories; cluster and perturbation expansions; variational bounding.

### CEE 525 Applied Numerical Methods

Introduction to a broad spectrum of numerical methods for the analysis of typical mathematics, physics, or engineering problems. Topics covered include: error analysis, interpolation and polynomial approximation, numerical differentiation and integration, ordinary differential equations, and partial differential equations.

### CEE 531 Elastodynamics

A review of the equations of the 3-D theory of linear elasticity. The course explores uniqueness of solutions and boundary conditions; reduction to wave equations; propagation, reflection, and refraction of waves; Rayleigh and Love surface waves in semi-infinite solids; Rayleigh-Lamb waves in plates; various approximate 2-D and 1-D equations of motion in for plates, beams, and rods and examination of their accuracy in dispersions and applicable ranges of frequencies; and methods to extend the approximate equations to higher frequencies and to anisotropic or piezoelectric materials.

### CEE 532 Advanced Finite-Element Methods

Special techniques for solving classes of linear and nonlinear elliptic, parabolic, and hyperbolic and eigenvalue problems encountered in structures and mechanics. The course explores implicit, explicit, and implicit-explicit elements and subdomain strategies in transient analysis; stability, consistency, and accuracy of integration procedures; error estimates; approximation properties; and computer implementation. Prerequisite: a working knowledge of a computer language.

### CEE 533 Seminar in Advanced Elasticity

The governing equations of the three-dimensional theory of linear elasticity; compatibility conditions and uniqueness theorem of solutions; the tensor stress functions and Boussinesq-Papkovitch displacement potentials; applications to the 3-D static-boundary value problems; orthogonal curvilinear coordinates; and the theory of thin elastic shells.

### CEE 534/CHE 524 Statistical Mechanics I: Fundamentals

Statistical mechanics provides a microscopic basis for calculating the equilibrium and nonequilibrium properties of matter. The course aims to provide engineers, physicists, chemists, biologists, and geologists with working knowledge of the fundamentals and applications of statistical mechanics. Part one covers the conceptual foundation of statistical mechanics and its correspondence with thermodynamics.

### CEE 535/CHE 525 Statistical Mechanics II: Methods

Statistical mechanics provides a microscopic basis for calculating the equilibrium and nonequilibrium properties of matter. The course aims to provide engineers, physicists, chemists, biologists, and geologists with working knowledge of the fundamentals and applications of statistical mechanics. Part two covers modern theoretical and computational techniques.

### CEE 539 Special Topics in MMS (Mechanics, Materials, and Structures)

Advanced topics in structures and mechanics or the investigation of problems of current interest.

- Previous topics covered:
- Prestressed Concrete Design
- Applied Structural Analysis
- Structural Health Monitoring

### CEE546 Form Finding of Structural Surfaces

DEPARTMENT CONSENT IS REQUIRED TO ADD THIS CLASS

The course looks at the most inventive structures and technologies, demonstrating their use of form finding techniques in creating complex curved surfaces. The first part introduces the topic of structural surfaces, tracing the ancient relationship between innovative design and construction technology and the evolution of surface structures. The second part familiarizes the student with membranes(systems, form finding techniques,materials and construction techniques) The third part focuses on rigid surfaces. The fourth part provides a deeper understanding of numerical form finding techniques.

### CEE 548 Risk Assessment and Management

Fundamentals of integrated risk assessment and risk-based decision analysis; stochastic modeling of natural and man-made hazards; evaluation of failure chances and consequences; decision criteria and acceptable risk; methods of risk assessment based on event trees, fault trees, system reliability, and stochastic processes in space and time: risk-based regulation, liability, and insurance. Students gain practical experience from case studies involving energy-related technologies, the environment, civil infrastructure, and financial risk. A mixture of lectures and weekly precepts.

### CEE 550 Special Topics in Civil and Environmental Engineering

Advanced studies in selected areas of civil and environmental engineering. Special topics vary according to the instructor's and the students' interests.

Previous topics covered:

- Practical Programming Methods for Engineers

### CEE 558 Random Fields and Random Media

A synthesis of methods to describe, analyze, and, where appropriate, predict and control random fields or distributed disordered systems. Second-order analysis of space-time processes, spectral parameters, level excursions, and extremes, and simulation and parameter estimation. A range of practical applications in engineering, the sciences, and finance.

### CEE 567 Advanced Design and Behavior, and Steel Structures

Advanced topics in the design and analysis of steel structures are considered including: plastic analysis, ductile lateral systems, behavior and design for fire, and local and global stability issues.

### CEE568 Advanced Design and Behavior of Concrete Structures

This class covers advanced topics related to the design and behavior of concrete structures. A quick review of topics covered in the undergraduate course on concrete design is given followed by more advanced topics such as torsion, slender columns, two-way slabs, and prestressed concrete.

### CEE 571 Environmental Chemistry

A focus on organic pollutants in the environment through study of the theoretical basis for chemical, physicochemical, and microbiological processes. This foundation is used to explain chemical property estimation methods for phonemena such as phase partitioning, diffusion, and biodegradation. These processes are examined with respect to their implications for remediation technologies.

### GEO 523/CEE 572 Geomicrobiology

Relationships between low temperature geochemistry and microbiology. Applications of newly developed molecular biological techniques and isotope geochemical methods and how these approaches can be used to determine the physiological state of microorganisms. Each student is expected to make a research presentation to the seminar. Visiting scholars and faculty members from other departments may occasionally contribute guest lectures to the seminar.

### CEE 576 Water Quality Modeling and Analysis

The construction and solution of water-quality models for transport and transformation of pollutants in surface runoff, streams, lakes, estuaries, and groundwaters; and the basic principles of water quality modeling. The course reviews existing models and the utility and appropriateness of various modeling techniques for analysis and prediction.

### CEE 578 Air Quality and Aerosol Processes

Course examines the sources, transport, chemical transformation, and sinks of air pollution on local to global scales. Air pollutants to be studied include trace gas species as well as aerosol particles such as aqueous sulfates, organics, soot, nitrogen-containing particulates, and mineral particles. Concepts addressed in the class include chemical reactions important to photochemical smog, aerosol particle physics and chemistry (e.g. nucleation, growth, deliquesence), acid precipitation, and multiphase chemistry in clouds.

### CEE 581 Theory of Groundwater Flow

Fundamental physics of fluid flow and contaminant transport in porous media; derivation of governing equations; analytical solution of simplified equations, with application to well hydraulics; and parameter estimation and analysis of field problems. The course examines the application of numerical models and gives an introduction to multiphase flow systems and advanced methods for equation development.

### CEE 586 Physical Hydrology

Problems in surface hydrology, based upon the underlying physics. Precipitation and evapotranspiration; mechanisms of surface runoff generation; propagation of flood waves overland and in channels; and water balance modeling are studied.

### CEE 587/ENV 587 Ecohydrology

A description of the hydrologic mechanisms that underlie ecological observations. The space-time dynamics of soil-plant-atmosphere is studied at different temporal and spatial scales. A review is done of the role of environmental fluctuations in the distribution of vegetation. Emphasis is made in the dynamics of soil moisture. The signatures revealing fractal structures in landscapes and vegetation are reviewed as result of self-organizing dynamics. Unifying concepts in the processes responsible for these signatures will be studied with examples from hydrology and ecology.

### CEE 588/GEO 588/AOS 588 Boundary Layer Meteorology

Basic dynamics of the Atmospheric Boundary Layer (ABL) and how it interacts with other environmental and geophysical flows. Topics covered include: mean, turbulence, & higher order flow equations; similarity theories; surface exchanges and their impact on the stability of the atmosphere; different ABL flow regimes (convective, neutral, and stable); role of the ABL in the hydrologic cycle; the fundamentals of scalar (pollutant, water vapor, etc) transport; modeling and measurement approaches for the ABL; and the role of the ABL in large-scale atmospheric flows and how it is represented in coarse atmospheric models.

### CEE 591 Radar Hydrometeorology

Remote sensing of precipitation and the hydrometerology of precipitation are the paired topics of this course. The fundamentals of radar remote sensing are introduced. Propagation and the scattering and absorption of electromagnetic waves are covered. Principles of Doppler radar are introduced, followed by techniques for measurement of precipitation and winds. The structure and evolution of precipitating cloud systems are covered as well.

### CEE593/AOS593 Aerosol Observations and Modeling

This course focuses on ground-based and satellite observations of aerosol particles and their impacts on climate through modeling studies. Course material includes satellite and ground-based measurements of aerosol particles, mathematical formulation of transport, and numerical models of aerosol distribution. It studies how aerosols impact climate change through direct and indirect effects including cloud-aerosol interactions.

### CEE 599 Special Topics in Environmental Engineering and Water Resources

Advanced studies in selected areas of water resources. Special topics vary according to the instructor's and the students' interests.

- Previous topics covered:
- Numerical Methods for Environmental Transport Problems
- Colloquium in Hydrology and Environmental Engineering
- Stochastic Hydrology
- Mathematical Tools for Environmental Engineers and Scientists
- Spatial Analysis of Hydrologic Data
- Carbon Capture and Geologic Sequestration
- Analysis and Synthesis of Hydrologic Processes

### CEE 599B Special Topics in Environmental Engineering and Water Resources

Advanced studies in selected areas of water resources. Special topics vary according to the instructor's and the students' interests.

- Previous topics covered:
- Environmental Biophysics
- Aerosol Observations and Modeling