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Architectural Engineering
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AE 610 - Applied Finite Elements 3 lecture hours 0 lab hours 3 credits
This course presents the application of the finite element method to building analysis. Topics include element stiffness matrices for beam, plate, shell and continuum elements; solution of equations; material models for steel and concrete; boundary conditions; and applied loading. (prereq: graduate standing)
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AE 612 - Structural Dynamics 3 lecture hours 0 lab hours 3 credits
This course introduces analysis of single degree of freedom systems, multidegree of freedom systems, free vibration analysis, forced system response, analysis of earthquake loading, and modal analysis. (prereq: graduate standing)
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AE 614 - Lateral Loads on Structural Systems 3 lecture hours 0 lab hours 3 credits
This course focuses on determining earthquake and wind loads on structures. Topics include basis for code procedures, code characterization of loads, code assumptions of elastic versus inelastic behavior, and detailing for inelastic response. (prereq: AE 612 )
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AE 616 - Structural Stability 3 lecture hours 0 lab hours 3 credits
This course presents structural stability analysis for members and multistory frames. Topics include torsional buckling of beams, plate buckling, modeling structural stability with the finite element method, and post-buckling behavior. (prereq: AE 610 )
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AE 720 - Masonry Design 3 lecture hours 0 lab hours 3 credits
This course examines design of unreinforced and reinforced masonry structures. Topics include lintels, walls subjected to out-of-plane and in-plane loads, detailing, allowable stress design, and strength design. (prereq: graduate standing, AE 740 )
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AE 730 - AISC Steel Design 3 lecture hours 0 lab hours 3 credits
This course presents advanced topics in design of steel structures. Topics include plate girder design, column and frame design, bracing design, connection design, and advanced floor stability. (prereq: graduate standing)
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AE 732 - Steel Design for Buildings (AISI) 3 lecture hours 0 lab hours 3 credits
This course presents cold-formed structural steel properties and design of cold-formed steel structural members using LRFD methodology published by AISI. It also covers flexural members, compression members, beam-columns, connections and cold-formed steel shear diaphragms for residential construction. (prereq: AE 616 )
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AE 734 - Connection Design 3 lecture hours 0 lab hours 3 credits
This course focuses on the design of connections between structural members. Emphasis is on connecting hot-rolled steel members. Topics include: overview of connection design; limit states; connection selection; shear connections; moment connections; partially restrained connections; bracing connections; design of special connections for earthquake loading. (prereq: AE 730 )
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AE 740 - Reinforced Concrete Member Design 3 lecture hours 0 lab hours 3 credits
This course presents the fundamental behavior and design of reinforced concrete members. Topics include design and detailing of reinforced concrete beams and columns for flexure, shear, torsion, and axial forces. (prereq: graduate standing)
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AE 742 - Foundation Design 3 lecture hours 0 lab hours 3 credits
This course presents the design of foundation systems. Topics include design of shallow foundations for axial, flexural, and shear forces, design of anchorage in concrete, design of basement walls, design of slabs on grade, design of piers and piles, and design of pile caps with the strut and tie method. (prereq: graduate standing)
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AE 744 - Prestressed Concrete Design 3 lecture hours 0 lab hours 3 credits
This course presents the behavior and design of prestressed concrete members and structures. Topics include PCI and ACI design criteria, flexural member design, compression member design, and connection design. (prereq: AE 740 )
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AE 746 - Reinforced Concrete Structure Design 3 lecture hours 0 lab hours 3 credits
This course presents the design of reinforced concrete floors. The course covers systems from pan joists to two way slabs and flat plate floors. ACI code provisions are studied. Designs derived from the ACI Direct Design and Equivalent Frame method are compared with those from commercial structural design software. Design topics include minimum thicknesses, rebar selection and placement, and connection design. (prereq: AE 740 )
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AE 750 - Wood Design 3 lecture hours 0 lab hours 3 credits
The course presents the behavior and design of wood structures. Topics include sawn beam and column design; engineered wood beam and column design; design of plywood floors, diaphragms, and shear walls; and connection design. (prereq: graduate standing)
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AE 760 - Modern Structural Systems 3 lecture hours 0 lab hours 3 credits
This course introduces the selection of structural systems for performance, cost and constructibility, and resistance to gravity and lateral loads. (prereq: graduate standing)
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AE 762 - Bridge Design 0 lecture hours 0 lab hours 3 credits
Fundamentals of the structural analysis and design of highway bridges. Construction materials in bridges. Loads on highway bridges. Load path and distribution in bridge superstructure. Design of reinforced concrete, pre-stressed concrete, steel plate girder, and composite bridges. Bridge aesthetics.
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AE 799 - Structural Engineering Independent Study 1 lecture hours 0 lab hours 3 credits
Independent study allows a student with a particular interest in a topic to undertake additional work outside of the classroom format. The student works under the supervision of a faculty member and undertakes studies that typically lead to a report. (A maximum of three credits of independent study may be applied to a Master of Science in Structural Engineering degree; credits for independent study may not be transferred from other institutions.) (prereq: Consent of program director or department chairperson)
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AE 800 - Research and Presentation 3 lecture hours 0 lab hours 3 credits
This course presents research skills, critical reading skills, and technical presentation (written and oral) skills needed by a practicing structural engineer. The student will select a topic relevant to structural engineering and conduct literature research on that topic. The student will present the results of the research with a written technical report following MSOE document and style guidelines. The student will also give an oral presentation on the results of the research. (prereq: graduate standing in MSST program, successful completion of 18 credits in MSST program, approval of program director)
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AE 890 - Structural Engineering Design I 3 lecture hours 0 lab hours 3 credits
This two-course sequence (with AE 892 ) is the independent capstone project of the Master of Science in Structural Engineering program. The student will complete a project that presents a comprehensive solution to a structural engineering problem. The problem is to be formulated by the student under the supervision of a faculty advisor. The project may be based on the student’s industrial experience, consist of physical research or consist of an analytic solution. The project must be approved by the Master of Science in Structural Engineering program director and the CAECM Department chairperson. Satisfactory progress and completion of the capstone project is to be determined by an academic committee consisting of the faculty advisor and at least two additional faculty members. (prereq: consent of MSST program director)
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AE 892 - Structural Engineering Design II 3 lecture hours 0 lab hours 3 credits
This two-course sequence (with AE 890 ) is the independent capstone project of the Master of Science in Structural Engineering program. The student will complete a project that presents a comprehensive solution to a structural engineering problem. The problem is to be formulated by the student under the supervision of a faculty advisor. The project may be based on the student’s industrial experience, consist of physical research or consist of an analytic solution. The project must be approved by the Master of Science in Structural Engineering program director and the CAECM Department chairperson. Satisfactory progress and completion of the capstone project is to be determined by an academic committee consisting of the faculty advisor and at least two additional faculty members. (prereq: AE 890 )
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Computer Science
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CS 5881 - Artificial Intelligence 3 lecture hours 0 lab hours 3 credits
The objective of this course is to introduce the basic concepts of artificially intelligent systems. Topics covered include knowledge representation, search strategies and expert systems. The modern AI techniques of fuzzy logic, neural networks and genetic algorithms are also introduced. The role of AI in engineering and computing systems is presented, and students complete exercises that allow them to apply AI tools and languages to suitable problems. (prereq: CS-2851 or CS285 or equivalent, consent of instructor)
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Civil Engineering
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CV 510 - Water Quality Analysis and Modeling 3 lecture hours 0 lab hours 3 credits
Topics include the development of water quality criteria for surface and ground waters, modeling water quality in rivers, lakes, and reservoirs, determining waste assimilative capacities and developing total maximum daily loads (TMDLs) for receiving waters, water toxicity and bioassays, and mixing zone studies. (prereq: CV-310)
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CV 512 - Geographical Information Systems (GIS) 3 lecture hours 0 lab hours 3 credits
This course will cover fundamentals of GIS analysis applied to environmental and engineering-related problems. In this course you will learn to use ArcGIS software, and you will also learn key fundamentals of using geographic information systems (GIS). At the end of the course you will be an informed GIS user, as well as being competent at ArcGIS. Topics include data sources, creating and collecting data into a GIS database, performing spatial analysis, integrating GIS data with other software programs, and conceptualizing and solving spatial problems using GIS.
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CV 540 - Air Permitting 3 lecture hours 0 lab hours 3 credits
The federal Clean Air Act of 1970 established national ambient-air quality standards (NAAQS) along with federal new source performance standards (NSPSs) and hazardous air pollutant emission standards (NESHAPs). In the Clean Air Act Amendments of 1990, federal permitting and enforcement of these standards was introduced in the Title V operating permit regulations. This course will introduce the student to the Title V permitting process. Specific topics addressed include reviewing Title V requirements, determining when a permit is required, describing the process for applying for permits, determining permit compliance, and understanding MACT, BACT, RACT, and LAER requirements. (prereq: graduate standing)
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CV 550 - Physical Hydrogeology 3 lecture hours 0 lab hours 3 credits
Topics include groundwater occurrence, geologic properties of groundwater systems, recharge sources and discharge sinks, Darcy’s Law of groundwater movement, differential equations of groundwater flow, solutions of steady and unsteady groundwater flow equations, pumping test design, groundwater modeling, and groundwater field methods. (prereq: CV-410, MA-235)
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CV 552 - Contaminant Hydrogeology and Groundwater Remediation 3 lecture hours 0 lab hours 3 credits
Topics include identifying sources of groundwater contamination, types and properties of contaminants, advection, dispersion and diffusion contaminant migration mechanisms, contaminant transport equations, contaminant transport modeling, groundwater investigation and monitoring, and remediation of contaminated groundwater to meet risk and regulatory requirements. (prereq: CV 550 )
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CV 554 - Ground Water and Soil Remediation Technologies 3 lecture hours 0 lab hours 3 credits
This course presents an overview of techniques to be used to clean up existing pollutants in soil, water or air in the vicinity of hazardous waste sites. Emphasis is on the remediation of pre-existing pollution rather than on pollution prevention strategies. Topics to be covered include the following: (1) surface water control strategies such as capping of surface impoundments, floating lagoon covers, grading, revegetation, diversion and collection; (2) groundwater contaminant clean-up and control strategies such as groundwater pumping, subsurface drains, subsurface barriers, and groundwater treatment procedures such as air and steam stripping, carbon absorption, biological treatment, ion exchange absorption, chemical treatments and reverse osmosis; (3) soil remediation procedures such as in-situ bioremediation, chemical remediation, soil flushing and physical treatment techniques; (4) procedures for the control of gas emissions and fugitive dust control from surface impoundments and landfills; (5) waste, soil and sediment disposal techniques; (6) monitoring strategies for remediated sites and leak detection strategies; and (7) remediation of leaking underground storage tanks (LUST). (prereq: graduate standing in MSCV program or department consent)
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CV 611 - Environmental Chemistry 3 lecture hours 2 lab hours 4 credits
Course topics include the following: (1) electroneutrality and its application to water analysis; (2) rates of chemical and biochemical reactions; (3) acid-base reactions and the carbonate system; (4) complexation reactions and chelation; (5) precipitation and dissolution reactions; (6) oxidation-reduction reactions; and (7) adsorption reactions. Modeling of aqueous equilibrium reactions will be performed using MINEQL+. (prereq: CH-201, CH-222, graduate standing)
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CV 614 - Environmental Microbiology 3 lecture hours 0 lab hours 3 credits
This course covers the basic morphology, biology and distribution of the major microbial groups: viruses, bacteria, fungi, protozoa and algae. Distribution of pathogenic microorganisms (and their surrogates) in the environment, and the methods used for their quantification and control are examined. Microbial growth and metabolism, and the resultant molecular transformations, are studied. The activities of microbes in specific habitats (i.e., biofilms, rhizobia, aquifers) are explored. Particular attention is given to microbes used to help solve environmental problems and to those that create environmental problems. (prereq: BI-102, graduate standing)
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CV 710 - Environmental Statistics and Modeling 3 lecture hours 0 lab hours 3 credits
This course covers topics in statistics needed for the statistical analyses of water, air, and other environmental systems. It also presents methods for developing statistical models. Specific topics include: (1) determining if significant differences exist between data sets using parametric and non-parametric methods, (2) experimental design, (3) constructing linear and non-linear regression models, (4) developing Monte Carlo models, (5) analyzing time-series, and (6) special topics. (prereq: MA-262, graduate standing)
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CV 712 - Water Quality Analysis and Modeling 3 lecture hours 0 lab hours 3 credits
Topics include the development of water quality criteria for surface and ground waters, modeling water quality in rivers, lakes, and reservoirs, determining waste assimilative capacities and developing total maximum daily loads (TMDLs) for receiving waters, water toxicity and bioassays, and mixing zone studies. (prereq: CV-310)
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CV 715 - Open Channel Hydraulics 3 lecture hours 0 lab hours 3 credits
Analysis of flow in open channels, including gradually varied flow (backwater and other flow profiles, flood routing) and rapidly varied flow (hydraulic jump, spillways); the design of open channels, including considerations of flood control and sediment transport, scour, and channel stabilization. (prereq: CV-415, graduate standing)
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CV 720 - Design of Biological Wastewater Treatment Processes 3 lecture hours 0 lab hours 3 credits
This course will provide advanced coverage of design principles for biological unit processes used in wastewater treatment. Aerobic systems include the activated sludge process, sequencing batch reactors, oxidation ditches, and stabilization ponds; anaerobic systems include anaerobic digesters, anaerobic contact units, and upflow anaerobic sludge blanket (UASB) reactors. The course will also address options for the removal of nitrogen and phosphorus using biological methods. (prereq: CV-420 or CV-421, graduate standing)
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CV 722 - Design of Water Treatment Systems 3 lecture hours 0 lab hours 3 credits
This course will present the fundamental physical, chemical, and biological principles governing water treatment for potable and ultrapure purposes. Design options then presented for each major water treatment process. (prereq: CV-320, CV-322, graduate standing)
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CV 724 - Industrial Wastewater Treatment 3 lecture hours 0 lab hours 3 credits
Course topics include the following: (1) review of treatment standards and regulations as mandated by the Clean Water Act, Resources Conservation and Recovery Act (RCRA) and various industrial standards; (2) presentation of the unit treatment processes for industrial water and wastewater pretreatment, including pH adjustment, equalization, coagulation and flocculation, activated carbon absorption, microfiltration, ultrafiltration, reverse osmosis, ion exchange, greensand filters/iron removal, evaporation, disinfection and oxidation processes, settling tanks, and oil and hydrocarbon removal. (prereq: graduate standing in MSCV program or department consent)
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CV 730 - Pollution Prevention and Waste Minimization 3 lecture hours 0 lab hours 3 credits
The U.S. Congress passed the Pollution Prevention Act of 1990, which states that pollution should be prevented or reduced at the source whenever feasible. This course is an introduction to both hazardous (RCRA Subtitle C) and solid (RCRA Subtitle D) waste management and strategies for source reduction of these wastes. Students are expected to complete a project that involves defining a baseline situation (process maps, generator status, applicable laws and regulations and current costs), researching alternatives, and proposing a strategy that effectively reduces wastes generated, reduces life-cycle environmental impacts and is cost effective. (prereq: graduate standing)
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CV 740 - Air Permitting 3 lecture hours 0 lab hours 3 credits
The federal Clean Air Act of 1970 established national ambient-air quality standards (NAAQS) along with federal new source performance standards (NSPSs) and hazardous air pollutant emission standards (NESHAPs). In the Clean Air Act Amendments of 1990, federal permitting and enforcement of these standards was introduced in the Title V operating permit regulations. This course will introduce the student to the Title V permitting process. Specific topics addressed include reviewing Title V requirements, determining when a permit is required, describing the process for applying for permits, determining permit compliance, and understanding MACT, BACT, RACT, and LAER requirements. (prereq: senior standing)
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CV 750 - Plant Safety/OSHA Issues 3 lecture hours 0 lab hours 3 credits
Course topics include the following: (1) federal regulations governing worker occupational safety and health; (2) an overview of the Occupational Safety and Health Administration; (3) a brief survey of human anatomy, physiology and pathology of the lungs, skin, ears and eyes within the context of potential industrial pathogens, chemical irritants or physical hazards; (4) identification and evaluation of industrial hazards including solvents, particulates, dermatoses, industrial noise, radiation, temperature extremes, ergonomically incompatible equipment and biological hazards; (5) techniques for the control of hazards, including ventilation, protective equipment, noise reduction strategies, principles of ergonomic design and product substitutions; and (6) case studies in designing and implementing an industrial hygiene program for various types of industries, including a description of the necessary record keeping, paperwork and documentation required. (prereq: graduate standing)
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CV 752 - Risk Assessment and Environmental Auditing 3 lecture hours 0 lab hours 3 credits
Course topics include the following: (1) a review of the environmental risk assessment process; (2) a review of environmental auditing procedures, including an introduction to ISO 14,000 and its impact on the environmental auditing process; (3) an overview of federal requirements relating to environmental assessments and impact statements; 4) a project involving the conducting of an actual audit of a facility; and 5) a project involving the review ad assessment of the risk assessment process used in developing an existing regulation. (prereq: graduate standing)
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CV 756 - Environmental Project Management/ Life Cycle Cost Analysis 3 lecture hours 0 lab hours 3 credits
This course presents techniques for assessing the merit of various technical solutions to environmental problems based on life cycle costs and considerations of sustainability. Included in any life cycle cost analysis are estimates of both long-and short-term liability costs that represent a large proportion of the overall exposure a company or client faces when implementing a program to manage environmental wastes. This course also addresses product life cycle and sustainability from a corporate perspective, and covers techniques that businesses can use to evaluate the competency of environmental consultants. (prereq: graduate standing)
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CV 760 - Environmental Law 3 lecture hours 0 lab hours 3 credits
This course presents case law and regulations relating to all areas of environmental compliance needed by the practicing environmental engineer. Specific topics include common law liability issues; insurance; the rule-making process; the federal National Environmental Policy Act (NEPA); surface and groundwater regulations, including the Clean Water Act (CWA) and the Oil Pollution Act; regulations relating to solid waste and recycling, and to hazardous wastes, including the Resource Conservation and Recovery Act (RCRA); laws relating to brownfields redevelopment; Sara Title III and community right-to-know laws; OSHA regulations; the Toxic Substances Control Act; Department of Transportation (DOT) regulations relating to shipments of wastes; the Clean Air Act (CAA); and laws relating to new source construction and major source operation permits. (prereq: graduate standing)
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CV 800 - Research and Writing 3 lecture hours 0 lab hours 3 credits
This course is designed to equip students with the research and writing skills necessary to successfully complete the CVE capstone design project. After selecting a capstone topic, the student will learn how to use the MSOE library’s online databases and print/electronic resources to locate relevant and credible literature, as well as other sources of information. In conjunction with an ongoing critical assessment of their proposed capstone topics, students will evaluate the source material to refine their topics, and to articulate questions and issues for further investigation. After an introduction to the purposes and methods of literature reviews in technical writing, students will be required to write a review of the literature read during the term. Weekly referencing exercises and writing discussions will help the student master the MSOE Style Guide. The course will culminate in a written capstone project proposal that is required prior to commencing CV 890 . (prereq: graduate standing, consent of program director)
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CV 890 - Capstone Design Project I 3 lecture hours 0 lab hours 3 credits
This is the first quarter of a capstone design course in which the student selects an environmental problem requiring resolution and proposes a comprehensive solution. The solution proposed must meet all technical standards and regulatory guidelines. Requirements of the first quarter of the course include the following: (1) complete the literature review begun in CV 800 ; (2) develop primary and alternative solution strategies with consideration given to the relative risks and short and long-term liabilities associated with each; and (3) prepare a work schedule detailing tasks to be performed during the detailed design and evaluation phase of the project in the second quarter of the course. The course will culminate with an oral presentation by the student providing an overview of the project before a faculty review committee. (prereq: CV 800 )
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CV 892 - Capstone Design Project II 3 lecture hours 0 lab hours 3 credits
This is the second quarter of the capstone design course and is a follow-on to CV 890 . Requirements of the second quarter of the course include the following: (1) performance of the detailed technical design for the project; (2) preparation of a final written report detailing the project. The report shall include as a minimum: (i) background on the project and a description of the environmental problem being solved; (ii) a literature review of previously encountered problems of a similar nature and of any relevant technologies; (iii) a description of the solution methodology chosen for the project, including a discussion of any alternative strategies that were considered during the design phase; (iv) a presentation of the final design including details of the economics of the proposed design, as well as technical specifications and completed regulatory paperwork); and (4) an oral presentation of the project before a faculty review committee. (prereq: CV 890 )
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Electrical Engineering
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EE 521 - Digital Communication Systems 3 lecture hours 0 lab hours 3 credits
This course covers important concepts and signaling techniques commonly used in digital communication systems. Pulse modulation methods including PAM, PWM, PPM and PCM are studied. Digital modulation methods including ASK, FSK and PSK modulations are also studied. Random processes are introduced and are used to model noise. The effects of noise on bit-error probabilities are analyzed for various systems. Other topics covered include the matched filter, correlation and an introduction to error-correction coding. An individual project is required. (prereq: EE-4020 or EE-4021, MA-3620, consent of instructor)
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EE 523 - Applications of Digital Signal Processing 3 lecture hours 0 lab hours 3 credits
This course builds upon the EE-3220 DSP lecture course. It is heavily laboratory- and applications-oriented, enabling students to implement powerful algorithms on actual DSP hardware utilizing the C programming language. Such algorithms as FIR and IIR digital filters, adaptive and multirate filters (interpolator), modulators and demodulators, correlators and discrete and fast Fourier transforms are programmed. The hardware is capable of processing audio signals in real time, effectively demonstrating the power of the techniques. An individual project is required. (prereq: EE-4021 or equivalent, consent of instructor)
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EE 529 - Microwave Engineering 2 lecture hours 2 lab hours 3 credits
This course emphasizes microwave transmission lines, especially microstrip, coax and rectangular waveguides. The theory is developed for each line in order to gain insight into transmission characteristics and operation. This is followed by a study of microwave resonant circuits, nonreciprocal ferrite devices and other microwave components. Fundamental and modern high-frequency measurement techniques and components are covered in the laboratory. (prereq: EE-3212)
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EE 544 - Power Electronics 3 lecture hours 0 lab hours 3 credits
In this course students are given background in device selection and power conditioning circuits that have application at high power levels. Topics covered emphasize the use of various active devices in inverters, converters, motor drives and power conditioning circuits. Topics include nonlinear magnetic circuits and the use of integrated circuitry in closed-loop power systems. An individual project is required. (prereq: EE-2070, EE-3111, and consent of instructor)
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EE 547 - Power System Analysis I 3 lecture hours 0 lab hours 3 credits
This course provides the graduate student with an introduction to the classical methods and modern techniques in power system analysis with the aid of a personal computer. Topics covered include the concepts of complex power, balanced three-phase circuits, transmission line parameters, transmission line performance and compensation, system modeling and per-unit analysis, circuit theory as applied to power systems and load flow analysis. (prereq: EE-3401 and approval of course instructor)
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EE 549 - Power System Analysis II 3 lecture hours 0 lab hours 3 credits
This course is a continuation of EE 547 , which provides graduate students with a working knowledge of power system problems and computer techniques used to solve some of these problems. Topics covered include optimal dispatch of generation, symmetrical three-phase faults, symmetrical components, unsymmetrical faults, technical treatment of the general problem of power system stability and its relevance. (prereq: EE 547 or approval of course instructor)
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EE 560 - Quality in Electronic Systems 3 lecture hours 0 lab hours 3 credits
Critical to all engineers is an understanding of the meaning of quality and the impact that understanding has on how tasks, engineering and otherwise, are performed. Through the entire gamut of activities resulting in industrial products, the engineer is a key factor of every process and has the responsibility of assuring that quality is implemented in an intentional, deliberate manner. This course seeks to instill the required understanding of quality via experiential activities, demonstrate its impact, and develop the needed statistical and organizational tools and techniques for quality analysis. An individual project is required. (prereq: MA-262 or MA-3620, consent of instructor)
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EE 574 - Programmable Controllers 3 lecture hours 0 lab hours 3 credits
This course provides the theory and hands-on experience necessary to enable students to design programmable controller system applications. This course highlights the systems approach as an aid to understanding modern industrial programmable controllers. Coverage begins with a review of controller basics and conventional approaches and proceeds through the concept of programmable logic including the use of microprocessors as controller elements. In addition, programming, input/output elements, peripherals, and standards and codes that govern interfacing aspects are covered. Development, design and understanding of analog input/output devices are also covered. The use of PCs as a device to program PLCs is developed. The material is reinforced by laboratory sessions that provide the opportunity to learn to develop several popular system applications. An individual project is required. (prereq: EE-3401, EE-2902 or CE-1910)
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EE 581 - Fuzzy Set and Applications 3 lecture hours 0 lab hours 3 credits
This course introduces students to the basic concepts of modeling uncertainty in systems through the use of fuzzy sets. The underlying concepts of fuzzy sets are introduced and their role in such applications as semantic interpreters, control systems and reasoning systems is presented. Students gain firsthand experience of fuzzy sets through programming assignments and a short research project. An individual project is required. (prereq: EE-290 or EE-2901, consent of instructor)
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EE 593 - Advanced Microprocessors 2 lecture hours 2 lab hours 3 credits
This course provides students an understanding of the architecture and programming techniques for advanced microprocessors/controllers. Topics discussed include organization, data format, instruction set, addressing modes, and timing diagram. The course also introduces students to interfacing memory and I/O devices. Architecture and organization of Intel 80x86 microprocessors family and Motorola/Analog Devices DSP microprocessors will be discussed. (prereq: EE-2902, EE-2920)
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EE 813 - Advanced Electronic Systems 3 lecture hours 0 lab hours 3 credits
This course covers techniques associated with the design and modeling of electronic systems. Nonlinear effects in bipolar and field effect devices are introduced. Nonideal operational amplifiers are analyzed and modeled. Noise and distortion analyses are discussed for various types of electronic circuits. Electronic circuits employing nonlinearities (e.g. modulators, detectors, phase-locked loops) are analyzed. Industry-recognized programs such as SPICE are used throughout the course. (prereq: graduate standing, courses in circuit analysis and electronics)
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EE 814 - VLSI Circuit Design 3 lecture hours 0 lab hours 3 credits
This course presents the structure and properties of MOS transistors, and VLSI circuit design techniques for both digital and analog circuits. Digital circuits designed include the use of logic gates, tri-state devices and multiplexers. Analog circuit designs include amplifier stages and the consideration of noise. The course includes the use of computer-based circuit analysis tools for the simulation of circuit behavior. (prereq: graduate standing, courses in circuit analysis and electronics)
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EE 871 - Modern Control Systems 3 lecture hours 0 lab hours 3 credits
The purpose of this course is to introduce students to principles and practice of modern control engineering. Z-transforms are introduced and utilized in conjunction with the analysis of discrete-time control systems. State-space analysis for continuous-time systems is covered in detail. Techniques on nonlinear systems analysis are developed and applied utilizing computer methods. (prereq: graduate standing, Laplace transforms and a control systems course)
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EE 5112 - Advanced Analog Electronics 2 lecture hours 2 lab hours 3 credits
This course continues investigation of single and cascaded BJT and MOSFET amplifiers. In addition, midband gains, impedances, and frequency responses of multi-transistor amplifiers are studied. The effects of classic feedback configurations on amplifier characteristics are included. A significant portion of the course grade is based on the student’s performance on assigned design projects. Students are expected to use previously learned design tools such as PSPICE to explore alternatives and verify their designs. The designs are constructed and tested in the laboratory, and documented in formal design reports. An individual project is required. (prereq: EE-3101, EE-3111, consent of instructor)
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EE 5210 - Electromagnetics and Transmission Lines 3 lecture hours 0 lab hours 3 credits
This course introduces the concepts of electromagnetics and transmission lines and puts into practice their application. The course covers a wide diversity of topics including static electric and magnetic fields, the Maxwell Equation, time-varying electromagnetic fields, wave propagation, transmission lines, electromagnetic radiation, and principles of radiation from an antenna. This course will introduce students to vector analysis techniques, which are used to analyze electromagnetic fields. By learning to calculate electric fields and properties of sending signals, students will gain a better understanding of the fundamental principles of electrical engineering. Students will apply these principles in a range of practices including power generation, power transmission, and wired and wireless signal transmission. (prereq: graduate standing, MA-235 or equivalent, PH-220 or equivalent)
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EE 5480 - Electrical Power Systems Quality 3 lecture hours 0 lab hours 3 credits
This is an advanced course in the electric power system transients and other phenomena that cause problems in high and medium voltage systems. Topics covered include voltage sags and interruptions, transient overvoltages, harmonic distortion, and distributed generation. (prereq: EE-3401)
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EE 5720 - Control Systems II 2 lecture hours 2 lab hours 3 credits
This course extends the classical continuous time control techniques from EE-3720 to the areas of discrete-time systems and state-space techniques. An independent hardware project is required that demonstrates the principles of control system analysis, modeling, and design. Control systems are analyzed, modeled, and designed using frequency response, z-transform and state-space techniques. An individual project is required. (prereq: EE-3720, EE-3220, consent of instructor)
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Environmental Engineering
Elective courses are offered once every other year: O-Odd Year, E-Even Year with respect to start of academic year |
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EV 611 - Applications of Chemistry in Environmental Engineering 3 lecture hours 0 lab hours 3 credits
Course topics include the following: (1) electroneutrality and its application to water analysis; (2) rates of chemical and biochemical reactions; (3) acid-base reactions and the carbonate system; (4) complexation reactions and chelation; (5) precipitation and dissolution reactions; (6) oxidation-reduction reactions; (7) a survey of organic chemistry and how organic compounds react and behave in the environment; (8) adsorption reactions; and (9) a survey of environmental laboratory procedures and analytical techniques in environmental chemistry. Students will also participate in several labs that will illustrate the course topics, including alkalinity, BOD/COD, lime/soda-ash softening, and carbon adsorption. (prereq: graduate standing in MSEV program or department consent) Offered Fall term.
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EV 612 - Biology for Environmental Engineers 3 lecture hours 0 lab hours 3 credits
This course covers the classification and naming of living things, the structure and function of biologically important macromolecules and cells, metabolic pathways and protein synthesis, basic genetic principles and ecological principles. Particular attention is given to practical environmental issues. Each student participates in a small group project focusing on environmentally important organisms or phenomena. (prereq: graduate standing in MSEV program or department consent) Offered Fall term.
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EV 614 - Microbiology for Environmental Engineers 3 lecture hours 0 lab hours 3 credits
This course covers the basic morphology, biology and distribution of the major microbial groups: viruses, bacteria, fungi, protozoa and algae. Distribution of pathogenic microorganisms (and their surrogates) in the environment, and the methods used for their quantification and control are examined. Microbial growth and metabolism, and the resultant molecular transformations, are studied. The activities of microbes in specific habitats (i.e., biofilms, rhizobia, aquifers) are explored. Particular attention is given to microbes used to help solve environmental problems and to those that create environmental problems. (prereq: EV 612 ) Offered Winter term.
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EV 710 - Environmental Statistics and Modeling 3 lecture hours 0 lab hours 3 credits
This course covers topics in statistics needed for the statistical analyses of water, air, and other environmental systems. It also presents methods for developing statistical models. Specific topics include: (1) determining if significant differences exist between data sets using parametric and non-parametric methods, (2) experimental design, (3) constructing linear and non-linear regression models, (4) developing Monte Carlo models, (5) analyzing time-series, and (6) special topics. (prereq: undergraduate course in introductory probability and statistics graduate standing) Offered Fall term.
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EV 720 - Municipal Wastewater Treatment 3 lecture hours 0 lab hours 3 credits
This course familiarizes students with planning, design and operation of design criteria and the design process for municipal wastewater treatment plants. The course covers design of physical, biological and chemical wastewater treatment processes and concepts in operational control. Students are required to prepare a design basis report and presentation for a particular wastewater treatment process, including preparation of a conceptual design and cost estimate. (prereq: EV 611 or department consent, Offered Spring-E term.
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EV 722 - Hydrogeology and Groundwater Pollution 3 lecture hours 0 lab hours 3 credits
Course topics include the following: (1) presentation of the hydrologic cycle–rainfall, water losses, and groundwater runoff (2) the unit hydrograph concept;(3) governing equations of groundwater flow through porous media; (4) interaction of surface and groundwater flows; (5) hydraulics of wells; (6) groundwater contaminant transport; (7) numerical methods for parameter estimation applications to groundwater models; (8) regulations governing groundwater contamination; (9) ex-situ and in-situ contaminated groundwater treatment/ remedial systems. (prereq: graduate standing in MSEV program or department consent) Offered Winter-E term.
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EV 724 - Industrial Water Treatment and Stormwater Management 3 lecture hours 0 lab hours 3 credits
Course topics include the following: (1) review of treatment standards and regulations as mandated by the Clean Water Act, Resources Conservation and Recovery Act (RCRA) and various industrial standards; (2) presentation of the unit treatment processes for industrial water and wastewater pretreatment, including pH adjustment, coagulation and flocculation, activated carbon absorption, microfiltration, ultrafiltration, reverse osmosis, ion exchange, greensand filters/iron removal, evaporation, disinfection and oxidation with UV/ozone, settling tanks, and oil and hydrocarbon removal; and (3) a survey of the current stormwater permitting. Students perform case studies of water treatment systems from several industries as part of a required research project. (prereq: graduate standing in MSEV program or department consent) Offered Winter-E term.
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EV 726 - Water Resources Management 3 lecture hours 0 lab hours 3 credits
Water resources management is a growing area in environmental engineering. Communities need to deal with both water quantity and quality issues on a regional and watershed basis. The purpose of this course is to give an introduction to water resources management including such topics as hydrology, and hydrological modeling, surface water quality, stormwater management and treatment, and wetlands classification and migration. (prereq: graduate standing in MSEV program or department consent) Offered Spring-O term.
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EV 728 - Design of Hydraulic Systems 3 lecture hours 0 lab hours 3 credits
Hydraulic engineering is a specialized discipline of civil engineering principally concerned with the design of water control and conveyance systems. In this course, the student will apply the principles of fluid mechanics in closed conduits and open channels to the modeling and design of water distribution and wastewater collection systems, pumping stations, and flow measurement and control devices. (prereq: AE-213 or ME-317) Offered Winter-O term.
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EV 730 - Solid and Hazardous Waste Minimization 3 lecture hours 0 lab hours 3 credits
The U.S. Congress passed the pollution prevention act of 1990, which states that pollution should be prevented or reduced at the source whenever feasible. This course is an introduction to both hazardous (RCRA Subtitle C) and solid (RCRA Subtitle D) waste management and strategies for source reduction of these wastes. Students are expected to complete a project that involves defining a baseline situation (process maps, generator status, applicable laws and regulations and current costs), researching alternatives, and proposing a strategy that effectively reduces wastes generated, reduces life-cycle environmental impacts and is cost effective. (prereq: graduate standing or department consent) Offered Winter term.
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EV 732 - Solid Waste Engineering and Management 3 lecture hours 0 lab hours 3 credits
Integrated solid waste management systems of the 21st century must address a number of interrelated issues, including source reduction, recycling and reuse, waste collection and transportation, and the disposal of wastes not otherwise recycled or reused. The issue of source reduction of both solid and hazardous wastes is addressed in EV 730 . In this course, the student will learn to design systems for the collection, transport, storage, and disposal of solid wastes with a focus on municipal solid waste (MSW). Specific topics to be addressed include methods of waste characterization, collection systems design, and the design of landfills and emerging thermal processing systems. (prereq: graduate standing) Offered Spring-O term.
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EV 740 - Air Pollution Control 3 lecture hours 0 lab hours 3 credits
This course presents strategies for waste minimization and pollution prevention and introduces the student to the concepts of air pollution control design, and the regulatory and environmental concerns that drive the air pollution control industry. Students are led through the design process from basic theory through practical application and case studies. The sources of air pollution and the available control options are presented and discussed in detail. (prereq: graduate standing in MSEV program or department consent) Offered Winter-E term.
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EV 742 - Air Permitting 3 lecture hours 0 lab hours 3 credits
The federal Clean Air Act of 1970 established national ambient-air quality standards (NAAQS) along with federal new source performance standards (NSPSs) and hazardous air pollutant emission standards (NESHAPs). In the Clean Air Act Amendments of 1990, federal permitting and enforcement of these standards was introduced in the Title V operating permit regulations. This course will introduce the student to the Title V permitting process. Specific topics addressed include reviewing Title V requirements, determining when a permit is required, describing the process for applying for permits, determining permit compliance, and understanding MACT, BACT, RACT, and LAER requirements. (prereq: graduate standing) Offered Spring-E term.
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EV 750 - Plant Safety/OSHA Issues 3 lecture hours 0 lab hours 3 credits
Course topics include the following: (1) federal regulations governing worker occupational safety and health; (2) an overview of the Occupational Safety and Health Administration; (3) a brief survey of human anatomy, physiology and pathology of the lungs, skin, ears and eyes within the context of potential industrial pathogens, chemical irritants or physical hazards; (4) identification and evaluation of industrial hazards including solvents, particulates, dermatoses, industrial noise, radiation, temperature extremes, ergonomically incompatible equipment and biological hazards; (5) techniques for the control of hazards, including ventilation, protective equipment, noise reduction strategies, principles of ergonomic design and product substitutions; and (6) case studies in designing and implementing an industrial hygiene program for various types of industries, including a description of the necessary record keeping, paperwork and documentation required. (prereq: graduate standing in MSEV program or department consent) Offered Winter-O term.
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EV 752 - Risk Assessment and Environmental Auditing 3 lecture hours 0 lab hours 3 credits
Course topics include the following: (1) a review of the environmental risk assessment process; (2) a review of environmental auditing procedures, including an introduction to ISO 14,000 and its impact on the environmental auditing process; (3) an overview of federal requirements relating to environmental assessments and impact statements; 4) a project involving the conducting of an actual audit of a facility; and 5) a project involving the review ad assessment of the risk assessment process used in developing an existing regulation. (prereq: graduate standing in MSEV program or department consent) Offered Spring-O term.
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EV 754 - Soil Science and Remediation Technologies 3 lecture hours 0 lab hours 3 credits
This course presents an overview of techniques to be used to clean up existing pollutants in soil, water or air in the vicinity of hazardous waste sites. Emphasis is on the remediation of pre-existing pollution rather than on pollution prevention strategies. Topics to be covered include the following: (1) surface water control strategies such as capping of surface impoundments, floating lagoon covers, grading, revegetation, diversion and collection; (2) groundwater contaminant clean-up and control strategies such as groundwater pumping, subsurface drains, subsurface barriers, and groundwater treatment procedures such as air and steam stripping, carbon absorption, biological treatment, ion exchange absorption, chemical treatments and reverse osmosis; (3) soil remediation procedures such as in-situ bioremediation, chemical remediation, soil flushing and physical treatment techniques; (4) procedures for the control of gas emissions and fugitive dust control from surface impoundments and landfills; (5) waste, soil and sediment disposal techniques; (6) monitoring strategies for remediated sites and leak detection strategies; and (7) remediation of leaking underground storage tanks (LUST). (prereq: graduate standing in MSEV program or department consent) Offered Spring-E term.
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EV 756 - Environmental Project Program Management and Life Cycle Cost Analysis 3 lecture hours 0 lab hours 3 credits
Today’s environmental manager is faced with numerous environmental issues, all of which must be managed simultaneously. For any one environmental problem within a business or manufacturing setting, there are a number of possible technical approaches to controlling or eliminating that problem. The environmental manager for that business must select the best technical option from among many. This course presents techniques for evaluating, on a life cycle cost basis, the merit of the various technical options. Included in any life cycle costing is discussion on estimating long-and short-term liability costs. These potential liability costs represent a large proportion of the overall exposure a company faces when implementing a program to manage environmental wastes. Since many companies rely on the advice of consultants to make environmental decisions, this course also presents techniques for evaluating the competency of various consultants and presents strategies for working with consultants. (prereq: graduate standing in MSEV program or department consent) Offered Spring term.
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EV 760 - Environmental Law for Environmental Engineers 3 lecture hours 0 lab hours 3 credits
This course presents case law and regulations relating to all areas of environmental compliance needed by the practicing environmental engineer. Specific topics include common law liability issues; insurance; the rule-making process; the Federal National Environmental Policy Act; surface and groundwater regulations, including the Clean Water Act (CWA) and the Oil Pollution Act; regulations relating to solid waste and recycling, and to hazardous wastes, including the Resource Conservation and Recovery Act (CRA); laws relating to brownfields redevelopment; Sara Title III and community right-to-know laws; OSHA regulations; the Toxic Substances Control Act; department of Transportation (DOT) regulations relating to shipments of wastes; the Clean Air Act (CAA); an laws relating to new source construction and major source operation permits. The emphasis throughout the course is on teaching the student processes by which the rules are made, and on where to research existing regulations and laws, so that the student can adapt to the constantly changing status. (prereq: graduate standing in MSEV program or department consent) Offered Fall term.
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EV 799 - MSEV Independent Study 0 lecture hours 0 lab hours 3 credits
Independent study allows a student with a particular interest in a topic to undertake additional work outside of the classroom format. The student works under the supervision of a faculty member and undertakes studies that typically lead to a report. (The maximum number of credits of independent study applied to an MSEV degree is three. Credits may not be transferred from other institutions.) (prereq: graduate standing in MSEV program consent of program director or department chair.)
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EV 800 - Research and Writing in Environmental Engineering 3 lecture hours 0 lab hours 3 credits
This course is designed to equip students with the research and writing skills necessary to successfully complete the MSEV capstone design project. After selecting a capstone topic, the student will learn how to use the MSOE library’s online databases and print/electronic resources to locate relevant and credible literature, as well as other sources of information. In conjunction with an ongoing critical assessment of their proposed capstone topics, students will evaluate the source material to refine their topics, and to articulate questions and issues for further investigation. After an introduction to the purposes and methods of literature reviews in technical writing, students will be required to write a review of the literature read during the term. Weekly referencing exercises and writing discussions will help the student master the MSOE Style Guide. The course will culminate in a written capstone project proposal that is required prior to commencing EV 890 . (prereq: graduate standing in MSEV program written consent of the MSEV program director) Offered Fall term.
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EV 890 - Environmental Engineering Systems Design I 1 lecture hours 0 lab hours 3 credits
This is the first quarter of a capstone design course in which the student selects an environmental problem requiring resolution and proposes a comprehensive solution. The solution proposed must meet all technical standards and regulatory guidelines. Facsimiles of any necessary regulatory paperwork must be completed just as if the project were to be actually implemented. Requirements of the first quarter of the course include the following: (1) identify the objectives of the project; (2) perform a literature review; (3) develop primary and alternative solution strategies with consideration given to the relative risks and short and long-term liabilities associated with each; and (4) prepare a work schedule detailing tasks to be performed during the detailed design and evaluation phase of the project in the second quarter of the course. The course will culminate with an oral presentation by the student providing an overview of the project before a faculty review committee. Selection of an environmental problem based on the student’s current or previous industrial work experience is strongly encouraged. (prereq: completion of all EV courses except EV 892 written consent of the MSEV program director) Offered Winter term.
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EV 892 - Environmental Engineering Systems Design II 1 lecture hours 0 lab hours 3 credits
This is the second quarter of a capstone design course in which the student selects an environmental problem requiring resolution and proposes a comprehensive solution. The solution proposed must meet all technical standards and regulatory guidelines. Facsimiles of any necessary regulatory paperwork must be completed just as if the project were to be actually implemented. Requirements of the second quarter of the course include the following: (1) performance of the detailed technical design for all hardware components of the project; (2) preparation of all required software, I.e., completion of all required regulatory documents; (3) preparation of a final written report detailing the project. (The report shall include as a minimum: (i) background on the project and a description of the environmental problem being solved; (ii) a literature review of previously encountered problems of a similar nature and of any relevant technologies; (iii) a description of the solution methodology chosen for the project, including a discussion of any alternative strategies that were considered during the design phase; (iv) a presentation of the final design including details of the economics of the proposed design, as well as technical specifications and completed regulatory paperwork); and (4) an oral presentation providing an overview of the project before a faculty review committee. (prereq: EV 890 ) Offered Spring term.
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Graduate Continuation
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GC 8994 - MSMI Graduate Continuation 0 lecture hours 0 lab hours 0 credits
This registration is required each quarter (except summers) that a graduate student is not registered for graduate credits, following that student’s initiation of a master’s project, thesis or other capstone activity.
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GC 8997 - MSCS Thesis Continuation 0 lecture hours 0 lab hours 0 credits
This registration is required each quarter (except summers) that a graduate student is not registered for graduate credits, following that student’s initiation of a master’s project, thesis or other capstone activity.
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GC 89920 - MSEM Graduate Continuation 0 lecture hours 0 lab hours 0 credits
This registration is required each quarter (except summers) that a graduate student is not registered for graduate credits, following that student’s initiation of a master’s project, thesis or other capstone activity.
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GC 89921 - MSNP Graduate Continuation 0 lecture hours 0 lab hours 0 credits
This registration is required each quarter (except summers) that a graduate student is not registered for graduate credits, following that student’s initiation of a master’s project, thesis or other capstone activity.
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GC 89922 - MSXM Graduate Continuation 0 lecture hours 0 lab hours 0 credits
This registration is required each quarter (except summers) that a graduate student is not registered for graduate credits, following that student’s initiation of a master’s project, thesis or other capstone activity.
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GC 89923 - MSCBM Graduate Continuation 0 lecture hours 0 lab hours 0 credits
This registration is required each quarter (except summers) that a graduate student is not registered for graduate credits, following that student’s initiation of a master’s project, thesis or other capstone activity.
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General Engineering
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GE 601 - System Dynamics 3 lecture hours 0 lab hours 3 credits
This course presents the basic theory and practice of system dynamics. It introduces the modeling of dynamic systems and response analysis of these systems, with an introduction to the analysis and design of control systems. A course project will involve analysis of a multi- degree-of-freedom system employing MATLAB® Simulink® software. (prereq: graduate standing)
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GE 611 - Numerical Methods 3 lecture hours 0 lab hours 3 credits
This course introduces numerical methods for solving ordinary differential equations and partial differential equations with engineering applications. (prereq: computer programming, differential equations and Laplace transform, graduate standing)
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GE 703 - Simulation and Modeling 3 lecture hours 0 lab hours 3 credits
The purpose of this course is to introduce students to the basic concepts of engineering systems and analysis and design using computer modeling and simulation. Topics covered include classification of systems and models, steps in developing computer models for discrete event systems, simplification, verification, validation, and applications of simulation and modeling. To provide the student with practical experience, commercial simulation software is used to implement and simulate the models. (prereq: computer programming, probability and statistics, graduate standing)
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GE 705 - Computer Assisted Engineering 3 lecture hours 0 lab hours 3 credits
The purpose of this course is to make students familiar with the application of computer-based tools in the analysis and design of engineering systems. Topics covered include data acquisition, frequency domain analysis, mathematical and statistical problem solving, the use of computers in graphics and an introduction to simulation. The course emphasizes the use of commercially available software packages for problem solving. Students are taught to write small programs using high-level languages and special purpose software library packages.
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GE 791 - Engineering Specialty Paper 3 lecture hours 0 lab hours 3 credits
This course is designed to give the student an opportunity to integrate knowledge in a chosen specialty, identify a current problem or project in the field, and develop a paper analysis/design. This is a culminating course in the non-project option which serves as an avenue to review the program experience with the program director who facilitates the course. A final paper is expected. (prereq: two 700- or 800-level courses in the chosen specialty)
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GE 796 - Engineering Project Proposal Development 3 lecture hours 0 lab hours 3 credits
This course functions as the proposal-writing phase of the engineering project in the program. Student project is selected and student is paired with the advisor and committee members. A detailed project proposal is prepared. Topics covered in the lectures and addressed in the proposal include the problem definition, engineering specifications, design process, patent and intellectual property, library research, reliability and safety, and project management. The course addresses how to organize and manage the MSE Capstone Project Report and culminates in a written proposal and oral presentation. (prereq: completion of 27 graduate quarter credits and consent of program director)
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GE 797 - Engineering Project I 3 lecture hours 0 lab hours 3 credits
This GE-797 course designation is used for the first three-credit registration of the engineering project as a follow-up to the proposal development in GE 796 . In consultation with a faculty advisor, each student develops an analytical study, engineering project or other suitable technical study that incorporates the concepts learned in the program. The project can draw from multiple disciplines or can focus on a technical area within the student’s chosen field of study. (prereq: GE 796 and consent of program director)
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GE 798 - Engineering Project II 3 lecture hours 0 lab hours 3 credits
This GE-798 course designation is used for the second three-credit registration for the engineering project. This course is a continuation of GE 797 . (prereq: GE 797 )
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GE 799 - MSE Independent Study 3 lecture hours 0 lab hours 3 credits
This graduate course allows for study in advanced or emerging topics in engineering that are not present in the curriculum. Topics of interest to students that will help with their overall program of study will be explored with the help of a faculty advisor. (prereq: graduate standing, consent of the program director)
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Industrial Engineering
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IE 612 - Operations Research 3 lecture hours 0 lab hours 3 credits
This course develops the theory for the solution of engineering problems by use of linear programming, network models, and decision analysis. Numerous applications are presented, which allow the student to see how these powerful techniques are used in a wide variety of engineering contexts. (prereq: graduate standing)
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IE 613 - Quality Engineering 3 lecture hours 0 lab hours 3 credits
This course focuses on engineering techniques specifically designed to result in high-quality products and processes. Experimental design focuses on the selection of factors (parameters) which result in an optimal output. Taguchi methods, which lead to minimum-variance results, are also included. Quality function deployment (QFD) brings the needs of the customer into the engineering design process. Numerous examples and applications are provided to show the applicability of these techniques to a wide variety of products and services. (prereq: graduate standing)
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Mathematics
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MA 611 - Engineering Mathematics I 3 lecture hours 0 lab hours 3 credits
Linear algebra topics include matrix algebra, linear systems, determinants, vector spaces, and eigenvectors. Complex variables topics include algebra in polar and rectangular coordinates, differentiable and analytic functions, harmonic functions, elementary functions, Cauchy’s theorem, Cauchy’s integral formula, Taylor and Laurent series, and integration by residues. (prereq: graduate standing and undergraduate calculus through differential equations)
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