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Statistics |
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STA 615 - Stochastic Processes II (4 credits)
Markov chains, random walks, pure birth process, Poisson processes, birth and death processes, renewal theory, models of epidemic and accident occurrences, diffusion processes, queuing models, applications in biological and physical sciences.
Prerequisite(s): Student must meet prerequisites (STA 515 and STA 613).
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STA 621 - Multivariate Statistical Methods II (4 credits)
Analysis of repeated measures data; analysis with missing data; EM algorithm; covariance structures; directional data analysis; discrimination and pattern recognition; advanced clustering methods.
Prerequisite(s): Student must meet prerequisite (STA 521).
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STA 628 - Reliability and Life Data Analysis II (4 credits)
Review of life distributions; point process models, system structure, system reliability, cost models and maintenance policies, reliability growth, competing risks, statistical methods for repairable system data, Bayesian methods, sequential methods.
Prerequisite(s): Student must meet prerequisite (STA 528).
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STA 630 - Time Series II (4 credits)
Multivariate autoregressive moving average time series. Model building and forecasting. Multivariate special analysis. Canonical analysis and principal components for multivariate time series. Other special topics in time series.
Prerequisite(s): Student must meet prerequisite (STA 530).
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STA 695 - Problem Solving Seminar (1 credit)
Applied problems and solutions using advanced statistical methods presented by students and faculty. Each Ph.D. student is required to earn at least three credits in the Problem Solving Seminar.
Prerequisite(s): Student must have permission of the graduate coordinator.
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STA 790 - Doctoral Dissertation Research (2 to 12 credits)
Research activities leading to the doctoral dissertation.
Prerequisite(s): Student must have permission of the graduate coordinator.
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Systems Engineering |
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SYS 510 - Systems Optimization and Design (4 credits)
Classical optimization techniques including Lagrange multipliers and Kuhn-Tucker conditions. Computer techniques for system optimization including linear programming, constrained and unconstrained nonlinear programming. Introduction to global optimization, genetic algorithm, and dynamic programming. The course emphasizes a design experience involving system modeling, simulation and optimal design. Offered summer.
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SYS 517 - Probability and Its Engineering Applications (4 credits)
Techniques and topics from probability of use to engineers, particularly those interested in manufacturing. Includes topics from statistics, control charts, propagation of error and tolerancing, analysis of queuing systems using birth and death processes and Markov chains, reliability, decision trees, etc. Credits cannot be received for both SYS 517 and ISE 517. Offered winter, odd years.
Prerequisite(s): Student must have completed a course in probability.
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SYS 520 - Signal and Linear Systems Analysis (4 credits)
Modeling and analysis of both continuous-time and discrete-time systems and signals. Time-domain and frequency-domain representation methods and transformations applied to electric circuits, mechanical systems and other dynamic systems. Fundamental theories of systems stability, controllability, observability and state-feedback control design. Computer simulation studies. Credit cannot be received for both SYS 520 and ECE 520. Offered Fall and Summer.
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SYS 557 - Energy Conservation Systems (4 credits)
Techniques for improving energy use in industrial and commercial applications. Topics include: energy accounting; energy auditing; energy conservation management; net energy analysis; second law methods of analysis; combined use energy systems; new technology for energy conservation; assessment of alternative technology. Credit can only be received for either ECE 557 or SYS 557 or ISE 557.
Prerequisite(s): Student must have completed at least one course from the Core and Theory group of courses or student must have permission of instructor.
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SYS 558 - Electrical Energy Systems (4 credits)
Generation, transmission and distribution of electrical energy. Analysis and design of three-phase circuits, per unit normalization, system design evaluation and load-flow, symmetrical components and stability. This course is cross listed with an undergraduate course. Credit cannot be received for both SYS 558 and ECE 458. Offered winter.
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SYS 563 - Foundation of Computer-Aided Design (4 credits)
Computer-aided design as the cornerstone of computer integrated manufacturing. Presentation and exploration of “generic” CAD architecture. Mathematical representations of CAD primitives, surfaces and solids and manipulation. Comparison of wire-frame, surface, 2-1/2 D and solid models. IGES, STEP, CALS and DXF standards. Description of “featurebased CAD” and the CAD manufacturing link.
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SYS 569 - Computer Simulation in Engineering (4 credits)
Simulation as modeling tool for discrete-event and continuous systems; general principles of simulation; statistical models; input modeling; random variable generation; model building using a commercial simulation language; model verification and validation; determination of run length; output analysis; variance reduction techniques. Design and optimization of production service systems. Offered winter.
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SYS 575 - Automotive Mechatronics I (4 credits)
Overview of mechatronics; modeling, identification and simulation of electro-mechanical devices; introduction to computer-aided software; basic automotive sensors; basic actuators and power train devices; principles of automotive and industrial electronic circuits and control systems (analog and digital); principles of product design; mechatronics case studies. This course is cross listed with an undergraduate course. Credit cannot be received for more than one of SYS 575, ECE 475, ECE 575, and EE 575. Offered Fall.
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SYS 583 - Production Systems and Workflow Analysis (4 credits)
Design issues to control the flow of material in manufacturing systems from forecast to finished product. Topics include characterization of production systems, aggregate planning and disaggregation to a master schedule, inventory control, MRP, JIT systems, scheduling and sequencing, project planning and resource balancing. Offered Fall. This course is cross listed with an undergraduate course. Credit cannot be received for more than one of SYS 583, ISE 483, and ISE 583.
Prerequisite(s): Student must have completed a course in probability.
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SYS 585 - Statistical Quality Analysis (4 credits)
Fundamentals of statistical quality control and their use in system design. Control charts for variables, control charts for attributes, cusum charts and other process quality monitoring topics. Sampling inspection plans. Fundamentals of design of experiments and their application to product/process design and improvement. Taguchi’s approach to robust design and related topics. This course is cross listed with an undergraduate course. Credit cannot be received for more than one of SYS 485, SYS 585, ISE 485, and ISE 585. Offered winter.
Prerequisite(s): Students must have completed a course in probability.
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SYS 587 - Foundations of Systems Engineering (4 credits)
Techniques for generation, analysis and verification of traceable product design requirements. System performance and structural modeling using object, behavioral and other models. Techniques for analysis of system for serviceability, reliability, maintainability and testability. System alternative trade-off study techniques. System life cycle and other tools for implementation of systems engineering techniques. This course is cross listed with an undergraduate course. Credit cannot be received for more than one of SYS 487, SYS 587, ISE 487, and ISE 587.
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SYS 594 - Independent Study (2 to 4 credits)
Independent study in a special area in systems engineering. Topic must be approved prior to registration. May be taken more than once. May not exceed a maximum of 8 credits.
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SYS 595 - Special Topics (2 to 4 credits)
Study of special topics in systems engineering. May be taken more than once. May not exceed a maximum of 8 credits.
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SYS 623 - Dynamics and Control of Robot Manipulators (4 credits)
Cartesian and joint space representations and transformations. The Denavit-Hartenberg (D-H) convention and parameter tables. Robotic forward and inverse kinematics and task planning. Newton-Euler and Lagrangian dynamic models and formulations. Robotic joint servo control, position control, force control, compliant motion and many industrial application aspects. Computer numerical and graphical simulations. Offered winter.
Prerequisite(s): Student must meet prerequisite (SYS 520 or ECE 520).
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SYS 630 - Optimal Control Theory (4 credits)
Modern control theory applied to linear dynamical systems. Differential and difference equations; stability of optimal control systems; dynamic programming; calculus of variation and Pontryagin’s minimum principle; optimally switched control systems, linear regulator problem; application of theory to practical control system design methodology; project involving the design of an optimal control system. Offered fall.
Prerequisite(s): Student must meet prerequisite (SYS 520 or ECE 520).
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SYS 631 - Estimation and Control Theory (4 credits)
Stochastic differential and difference equations; Luenberger observer theory; Kalman-Bucy filtering theory; design of stochastic optimal and microprocessor-based control systems; duality between optimal estimation and control problems; the separation principle; simulation and laboratory implementation of observers and filters in stochastic control system. Offered winter.
Prerequisite(s): Student must meet prerequisite (SYS 520 or ECE 520).
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SYS 632 - Analysis of Nonlinear Control Systems (4 credits)
Nonlinear systems modeling and analysis with various engineering applications. Special phenomena and nonlinear dynamics. Theory of nonlinear systems stability and stabilization. Controllability, observability, invertibility and linearizability of nonlinear control systems. Nonlinear feedback control, internal dynamics and nonlinear adaptive control. Advanced computer simulation studies. Credit cannot be received for both SYS 632 and SYS 532. Offered fall.
Prerequisite(s): Student must meet prerequisite (SYS 520 or ECE 520).
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SYS 635 - Adaptive Control Systems (4 credits)
Classifications of self-tuning and adaptive systems; parameter estimation techniques, self-tuning regulators and state estimators, stability and convergence analysis; model reference adaptive systems using Lyapunov and hyperstability models; applications of adaptive control systems; computer simulation and laboratory experiments. Offered fall.
Prerequisite(s): Student must meet prerequisite (SYS 520 or ECE 520).
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SYS 645 - Intelligent Control Systems (4 credits)
Definition and paradigm for intelligent control; self-learning and supervised learning; hierarchical decision architecture; fuzzy logic, neural network, heuristics, genetic algorithm, optimum strategy and related topics; examples of intelligent and autonomous systems; computer simulation and visualization of applications. Credit cannot be received for more than one of SYS 645, SYS 735, and ECE 645.
Prerequisite(s): Student must have permission of instructor.
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SYS 674 - Digital Control Systems (4 credits)
Theoretical foundation needed to implement the microprocessor in control applications. Effects of sampling, data conversion, quantization, finite word length and time delays on system response and stability are examined. Pole-placement and observer/estimator techniques. Actual construction of a microcomputer-based controller culminates the course. Offered winter.
Prerequisite(s): Student must meet prerequisite (SYS 520 or ECE 520).
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SYS 675 - Automotive Mechatronics II (4 credits)
Extensive review of software and modeling fundamentals, sensors, actuators, power train characteristics, automotive and industrial control systems; selected topics include engine and exhaust gas sensors; sensor interfaces; injection electronic circuits, engine and transmission controllers, pneumatic servos and active suspension; electromagnetic compatibility and issues related to system design, compatibility requirements, filtering, shielding/grounding, testing; emerging technologies in automotive mechatronics systems. Student projects. Credit cannot be received for more than one of SYS 675, ECE 675, and EE 675.
Prerequisite(s): Student must meet prerequisite (SYS 575 or ECE 575 or EE 575).
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SYS 680 - Engineering Decision Analysis (4 credits)
Consideration of risk and uncertainty in decision criteria for resource allocation. Mathematical programming in engineering applications for multi-attribute utility analysis. Credit cannot be received for both SYS 680 and ISE 680. Offered fall.
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SYS 690 - Graduate Engineering Project (2 to 4 credits)
Independent work on an advanced project in systems engineering. Topic must be approved prior to registration. May be taken more than once. May not exceed a maximum of 4 credits.
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SYS 691 - Master’s Thesis Research (2 to 8 credits)
Directed research leading to a master’s thesis. Topic must be approved prior to registration. May be taken more than once. May not exceed a maximum of 8 credits.
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SYS 721 - Large-Scale Dynamic Systems (4 credits)
Analysis using a systems methodology including state variable modeling and multilevel structure. Structural stability, dynamic reliability, aggregation and decomposition. Application to estimation and control of large systems
Prerequisite(s): Student must meet (SYS 520 or ECE 520).
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SYS 722 - Linear Multivariable Systems (4 credits)
Fundamental and state-of-the-art modeling, analysis and design of linear multivariable dynamic systems. The role of polynomial matrices and differential operators in the description and structural realization of multivariable systems. Concepts of multivariable poles, zeros, Nyquist arrays and generalized root loci. Algebraic design methods based on state feedback observers, and modelmatching. Inverse Nyquist and characteristic locus techniques as extensions of classical control design.
Prerequisite(s): Student must meet prerequisite (SYS 520 or ECE 520).
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SYS 731 - Stochastic Optimal Control and Estimation Theory (4 credits)
Foundation of stochastic optimal control and estimation theory. Continuous-time and discrete-time stochastic linear and nonlinear systems; analysis and design of stochastic optimal control systems; nonlinear filtering smoothing and prediction theory; and adaptive control estimation. Offered fall, odd years.
Prerequisite(s): Student must meet prerequisite (SYS 630).
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SYS 794 - Independent Study (2 to 4 credits)
Advanced independent study in a special area in systems engineering. Topic must be approved prior to registration. May be taken more than once. May not exceed a maximum of 8 credits.
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SYS 795 - Special Topics (2 to 4 credits)
Advanced study of special topics in systems engineering. May be taken more than once. May not exceed a maximum of 8.
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Teacher Development |
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TD 500 - Introduction to the School and Society (2 credits)
Provides an introduction to educational issues including: purposes of schooling, choice, diversity, urban education, accountability, uses of technology, ways of learning, and roles and conditions of teaching.
Prerequisite(s): Student must be admitted to the alternative teacher certification program.
Corequisite(s): TD 511
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TD 501 - Learning Theory: Cognitive and Affective Development of Adolescents (3 credits)
Investigates learning theories to understand the cognitive and affective development of adolescents. The understandings are interpreted for their implications of teaching in secondary classrooms.
Prerequisite(s): Student must be admitted to the MAT program.
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TD 506 - Health Curriculum at the Elementary-Middle Levels (1 credit)
Students develop understandings related to a rationale for teaching health at the elementary/middle levels by exploring health education content, research, legal requirements, content expectations, and relevant curriculum for teaching health as well as philosophies that guide health education efforts. This is an online course with initial and final meetings on campus.
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TD 510 - Teaching Fitness and Wellbeing in Elementary and Middle Level Classrooms (2 credits)
Students admitted to the K-8 Education Program examine and practice teaching in a supervised peer laboratory setting, gaining experience with a classroom repertoire of PE foundations, unit planning, lesson design, assessment, and overall program evaluation leading to the physiological, biomechanical, social, and emotional health of children.
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TD 511 - Learning Theory (2 credits)
This is a co-requisite course in the sequence leading to recommendation for teacher certification in Michigan. The course will survey twentieth century theories which are the basis for learning, memory and application of knowledge. Historical and current theories will be explored as they relate to teaching and schools.
Prerequisite(s): Student must be admitted to the alternative certification program and must meet the corequisite requirement.
Corequisite(s): TD 500
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TD 513 - Teaching Elementary/Middle Level Science (4 credits)
Develops knowledge, skills and methods for teaching elementary and middle school science. Topics include planning effective instruction, using instructional models, creating a safe environment, integrating science across the curriculum, and using current instructional materials and assessment strategies. Includes a required field experience and additional science teaching experience.
Prerequisite(s): Student must meet prerequisites (FE 680 and TD 520).
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TD 514 - Teaching Elementary/Middle Level Social Studies
Offers opportunities to explore definitions of social studies and strategies for teaching social studies in K-8 classrooms. The field experience is a pivotal piece of this course. Through discussions and assignments, students will examine and reflect upon teaching and learning social studies within both Michigan and their local community.
Prerequisite(s): Student must meet prerequisites (HST 114, FE 680, TD 520, SE 500).
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TD 515 - Integrating the Arts in the Elementary Classroom
This course will give students a basis and background for integrating visual and performing arts experiences in the classroom. Topics will include: understanding children’s artistic development; recognizing the importance of problem solving in the arts; and making connections among the arts and other disciplines.
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TD 516 - Mathematics Pedagogy and Curriculum in Elementary and Middle Grades
Investigates mathematical content, curricula, method, design, and assessment in the elementary and middle grades.
Prerequisite(s): Student must meet prerequisites (MTE 210, FE 680, TD 520 and SE 500).
Corequisite(s): FE 680, TD 520 and SE 500 may be taken concurrently.
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TD 519 - Issues of Equity in the Schools (3 credits)
Engages prospective teachers in the process of understanding and exploring the issues of equity in the classroom and the school community and developing a proficiency in meeting the diverse needs of learners in that environment. The focus will be on exploring effective teaching practices as well as establishing an effective classroom environment that is appropriate for a wide range of diverse students.
Prerequisite(s): Student must be admitted to the MAT program.
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TD 520 - Instructional Interaction and Classroom Management (2 or 3 credits)
Acquaints prospective teachers with the importance of human interactive skills and classroom management. Provides understanding of the flexible line separating personal and professional behavior. Includes student involvement in role-playing and action-oriented problem solving. Includes a required field experience.
Prerequisite(s): Student must be admitted to the MAT program.
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TD 521 - Instructional Design and Assessment Secondary (3 credits)
Prepares teacher candidates to plan and evaluate instruction through the design of lessons and the development and use of formal, informal, and teacher-created assessment techniques.
Prerequisite(s): Student must be admitted to the MAT program.
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TD 522 - Instructional Design and Assessment Secondary (3 credits)
Prepares teacher candidates to plan and evaluate instruction through the design of lessons and the development and use of formal, informal, and teacher-created assessment techniques.
Prerequisite(s): Student must be admitted to the MAT program.
Corequisite(s): TD 530
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TD 527 - Methods of Teaching Secondary Students (2 credits)
Emphasizes the development of teaching strategies and human interaction techniques unique to secondary students and classrooms. Topics include discipline, motivation, instructional technology, skill assessment, evaluation and affective learning.
Prerequisite(s): Student must be admitted to the secondary alternative certification program.
Corequisite(s): TD 528
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TD 528 - Secondary Teaching of the Major and Minor Fields (3 credits)
Develops specific knowledge, competencies and skills required for effective teaching in the student’s major and minor fields.
Prerequisite(s): Student must meet prerequisites (TD 554 and TD 520).
Corequisite(s): SE 521
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TD 530 - Managing the Classroom Environment of and for Diverse Learners (3 credits)
Acquaints prospective teachers with diversity as it influences and enhances the classroom community; course assignments and field experiences are designed to help students develop knowledge and skills associated with cross-cultural communication and classroom management through personal interactions with students from diverse racial, ethnic, gender, and/or socioeconomic backgrounds.
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TD 554 - Advanced Interaction Laboratory for Teacher Development (4 credits)
Strengthens and refines teacher’s communication skills, instructional strategies, models of teaching and delivery systems to improve the learning climate for all students. Newly acquired skills are implemented, practiced and assessed in authentic settings. Teachers participate in peer coaching, group problem solving and qualitative research.
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TD 555 - Internship in Elementary Education (8 credits)
Provides a one-semester internship under the guidance of a clinical instructor and a university supervisor. Enrollment of 8 hours is required.
Prerequisite(s): Student must have permission of adviser.
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TD 556 - Internship Seminar (2 credits)
Focuses on interactive dialogue and the study of effective teaching practices. This course is taken in conjunction with the student teaching experience.
Prerequisite(s): Student must complete course work in MAT secondary education.
Corequisite(s): TD 559
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TD 559 - Internship in Secondary Education (10 credits)
Provides a one-semester internship under the guidance of a clinical instructor and a university field supervisor. Enrollment for 10 hours is required for completion of the internship. Emphasis will be placed on the development and application of effective instructional methods and classroom management techniques.
Prerequisite(s): Student must complete coursework in MAT secondary education.
Corequisite(s): TD 556
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