2013-2014 Undergraduate and Graduate Bulletin (with addenda) 
    
    May 06, 2024  
2013-2014 Undergraduate and Graduate Bulletin (with addenda) [ARCHIVED CATALOG]

Course Descriptions


A Brief Guide to Course Descriptions

Each program described in this catalog contains detailed descriptions of the courses offered within the program.

The first line gives the official course number for which students must register and the official course title. The letters indicate the discipline of the course and the first number of the official course numbers indicates the level of the course. The levels are as follows:

  • 1XXX - Freshman Level
  • 2XXX - Sophomore Level
  • 3XXX - Junior Level
  • 4XXX - Senior Level
  • 5XXX to 9XXX - Graduate level

Typically the last number of the course number indicates the number of credits. The breakdown of periods of the course is also listed.

When selecting a course for registration, the section of the course may include the following notations:

  • “LEC” - lecture section
  • “RCT” or “RC” - recitation section
  • “LAB” or “LB” - lab section

Additionally, any other letter or digit listed in the section will further identify the section and being liked to another section of the class with the same letter and/or digit combination. Further information on sections is available from academic advisers during registration periods.

The paragraph description briefly indicates the contents and coverage of the course. A detailed course syllabus may be available by request from the office of the offering department.

“Prerequisites” are courses (or their equivalents) that must be completed before registering for the described course. “Co-requisites” are courses taken concurrently with the described course.

The notation “Also listed…” indicates that the course is also given under the number shown. This means that two or more departments or programs sponsor the described course and that students may register under either number, usually the one representing the student’s major program. Classes are jointly delivered.

 

Technology Management and Innovation

  
  • MG-GY 9763 Readings in Management

    3 Credits
    This directed individual study of supervised readings explores advanced areas of management.

    Prerequisite(s): Department Chair’s permission.
    Weekly Lecture Hours: 3 | Weekly Lab Hours: 0 | Weekly Recitation Hours: 0
  
  • MG-GY 9771 Readings in Management

    1.5 Credits
    This directed individual study of supervised readings discusses advanced areas of management.

    Prerequisite(s): Department Chair’s permission.
    Weekly Lecture Hours: 1.5 | Weekly Lab Hours: 0 | Weekly Recitation Hours: 0
  
  • MG-GY 9781 Selected Topics in Management

    1.5 Credits
    Students analyze and discuss current topics in various fields.

    Prerequisite(s): Advanced standing and Department Chair’s permission.
    Weekly Lecture Hours: 1.5 | Weekly Lab Hours: 0 | Weekly Recitation Hours: 0
  
  • MG-GY 9853 Selected Topics in Organizational Behavior

    3 Credits
    This course discusses and analyzes current topics in organizational behavior.

    Prerequisite(s): Advanced standing and instructor’s permission.
    Weekly Lecture Hours: 3 | Weekly Lab Hours: 0 | Weekly Recitation Hours: 0
  
  • MG-GY 9861 Readings in Organizational Behavior

    1.5 Credits
    Students undertake directed individual study or supervised readings in advanced areas of organizational behavior.

    Prerequisite(s): Academic Director’s permission.
    Weekly Lecture Hours: 1.5 | Weekly Lab Hours: 0 | Weekly Recitation Hours: 0
  
  • MG-GY 9873 Readings in Organizational Behavior

    3 Credits
    This course emphasizes directed individual study or supervised readings in advanced areas of organizational behavior.

    Prerequisite(s): Program Director’s permission.
    Note: Course descriptions for other than Organizational Behavior courses can be found in the MS in Management [MSM] section of this catalog.

    Weekly Lecture Hours: 3 | Weekly Lab Hours: 0 | Weekly Recitation Hours: 0
  
  • MG-GY 9913 Independent Research

    3 Credits
    In this course, students undertake directed individual study or supervised readings in advanced areas of the thematic electives and are advised by the doctoral adviser. Three credits required.

    Prerequisite(s): Doctoral standing or instructor’s permission.
    Weekly Lecture Hours: 3 | Weekly Lab Hours: 0 | Weekly Recitation Hours: 0
  
  • MG-UY 1002 Foundations of Management

    2 Credits
    This course introduces the principles and practices of management. Management is viewed as a system of tasks and activities, including environmental scanning, planning, organizing, leading and controlling. Within each major task, is a series of processes, which show how to do what has to be done. Management is a science and an art; both aspects of management are covered in this course. Major emphasis is on management history, philosophy and the theory and practice of management planning, decision making, organizing, motivating and leading.

    Weekly Lecture Hours: 2 | Weekly Lab Hours: 0 | Weekly Recitation Hours: 0
  
  • MG-UY 2004 Management of Information Technology and Systems

    4 Credits
    This course provides a foundation to understand the role and potential contributions of information technologies and systems in business organizations–what they are, how they affect the organization and its employees, and how they can make businesses more competitive and efficient. The course focuses on the current state of IT in organizations; challenges and strategic use of IT; IT infrastructure and architecture; building, implementing and managing IT applications; and emerging issues such as intelligent systems, business-process reengineering, knowledge management and group-support systems.

    Weekly Lecture Hours: 4 | Weekly Lab Hours: 0 | Weekly Recitation Hours: 0
  
  • MG-UY 2014 Operations Management

    4 Credits
    A firm has the opportunity to create competitive advantage through proficient operations management. To do so, the firm first must recognize and establish the strategic role of its operations within the organization. Then, at the more detailed operational level, the firm must execute effectively and efficiently. This course examines the strategic role that the operations function can play and offers specific tools and techniques that a firm can use during implementation.

    Prerequisite(s): 4 credits of calculus.
    Weekly Lecture Hours: 4 | Weekly Lab Hours: 0 | Weekly Recitation Hours: 0
  
  • MG-UY 2104 Organizational Behavior

    4 Credits
    This course focuses on the study of human behavior in innovative organizations. Emphasis is on teams, leadership, communication theory and organizational culture and structure. The course includes analyses of organizational behavior problems through case studies and participation in experiential learning.

    Weekly Lecture Hours: 4 | Weekly Lab Hours: 0 | Weekly Recitation Hours: 0
  
  • MG-UY 2204 Financial Accounting

    4 Credits
    This course provides a solid foundation in constructing and interpreting financial statements. Topics include: accounting terminology, financial-statement preparation and analysis, liquidity and credit-risk ratios, depreciation calculations, revenue recognition, accrued liabilities and asset valuation. Also covered are the effects of equity transactions, cash flows and various accounting methods on financial statements.

    Weekly Lecture Hours: 4 | Weekly Lab Hours: 0 | Weekly Recitation Hours: 0
  
  • MG-UY 2304 Marketing

    4 Credits
    This course is an undergraduate introduction to marketing. It discusses the fundamentals of marketing; e.g., the marketing mix, the role of the customer, marketing research and survey techniques. In addition, emerging marketing paradigms, like relationship marketing and online marketing, are introduced.

    Weekly Lecture Hours: 4 | Weekly Lab Hours: 0 | Weekly Recitation Hours: 0
  
  • MG-UY 3002 Project Management

    2 Credits
    This course provides students with practical and best-practice project management theory, concepts and (hands-on) practical experience so that they may contribute effectively to and lead multicultural team projects framed for the new global economy. The practical component includes a team-based project that spans the duration of the course.

    Weekly Lecture Hours: 2 | Weekly Lab Hours: 0 | Weekly Recitation Hours: 0
  
  • MG-UY 3024 Management of Data Communications and Networking

    4 Credits
    This course introduces the fundamentals of modern telecommunications and networking such as components of data communication, data transmission, open-system interconnection (OSI), TCP/IP and other models, data link and network layers and local area networks (LANs). The course focuses on managerial issues related to the management of data communications and networking technologies.

    Prerequisite(s): MA-UY 1024  and MA-UY 1124  or equivalents and MG-UY 2004 .
    Weekly Lecture Hours: 4 | Weekly Lab Hours: 0 | Weekly Recitation Hours: 0
  
  • MG-UY 3204 Introduction to Finance

    4 Credits
    This course introduces business finance for BTM majors. It emphasizes the financing and investment decisions of the financial manager, with special emphasis on examples from technological environments. Included are topics such as time value of money, asset valuation, risk analysis, financial statement analysis and capital budgeting.

    Prerequisite(s): MA-UY 1024  and MA-UY 1124  or equivalents and and MG-UY 2204 .
    Weekly Lecture Hours: 4 | Weekly Lab Hours: 0 | Weekly Recitation Hours: 0
  
  • MG-UY 3214 Advanced Corporate Finance

    4 Credits
    This course builds on the principles of basic corporate finance covered in MG-UY 3204 . It prepares students to understand financial theory and how firms use modern finance for strategic and tactical decision-making. The critical issue of how these decisions affect the value of a firm and the returns of assets is addressed. Major topics include bond valuation, the CAPM model, portfolio design and modeling and option pricing using the Black-Scholes model. A strong emphasis is placed on using spreadsheets as a financial-modeling tool.

    Prerequisite(s): MA-UY 1252  and MG-UY 3204 .
    Weekly Lecture Hours: 4 | Weekly Lab Hours: 0 | Weekly Recitation Hours: 0
  
  • MG-UY 3304 Introduction to Supply Chain Management

    4 Credits
    This course provides an undergraduate-level introduction to supply-chain management. The underlying objective is to introduce key supply-chain management concepts and examine relevant business practice. This course enables students to develop useful skills, in an increasingly global context, to analyze marketing, logistics, operations and channel management issues.

    Prerequisite(s): MG-UY 2004 , MG-UY 2304  and MA-UY 2054  or MA-UY 2212  with MA-UY 2222 .
    Weekly Lecture Hours: 4 | Weekly Lab Hours: 0 | Weekly Recitation Hours: 0
  
  • MG-UY 3404 Innovation Management

    4 Credits
    This course examines the key managerial features of technology-enabled innovation and new product development. It focuses on accessing innovative capabilities through R&D, acquisition, alliances, joint ventures and innovation- friendly cultures and organizations. The key perspective underlying this course is managerial. Although the innovation activities studied are overwhelmingly technology enabled ones, success is largely determined by managerial factors. The interplay between the technology and management leading to innovation is a major concern of the discussion and work in this course.

    Weekly Lecture Hours: 4 | Weekly Lab Hours: 0 | Weekly Recitation Hours: 0
  
  • MG-UY 4004 Management Strategy in Technology Sectors

    4 Credits
    This course provides an overview of the process of implementing a successful management strategy in an information-, technology and knowledge-intensive environment. Fundamental topics include the development of strategic vision, objectives and plans; implementation of strategy and the evaluation of performance; industry and competitive analysis; SWOT analysis and competitive advantage and sustained advantage. Advanced concepts include strategic positioning in global markets, Internet strategy, strategy in diversified firms and interactions between organizational structure and strategy and between ethics and strategy.

    Prerequisite(s): MG-UY 3204  and MG-UY 3404 .
    Weekly Lecture Hours: 4 | Weekly Lab Hours: 0 | Weekly Recitation Hours: 0
  
  • MG-UY 4014 Introduction to E-Business

    4 Credits
    Since its introduction, the Internet has changed how businesses work. In addition to creating new opportunities, the Internet has revolutionized existing businesses and entire industries. This course provides an undergraduate- level introduction to e-business. The main objectives of this course are to (1) provide a hands-on introduction to the emerging area of e-Business, (2) discuss the major business concepts and issues in this domain and (3) develop high-quality content based on team discussion and individual/group research.

    Prerequisite(s): MG-UY 3204 , MG-UY 3002 , MG-UY 3304  and MG-UY 3404 .
    Weekly Lecture Hours: 4 | Weekly Lab Hours: 0 | Weekly Recitation Hours: 0
  
  • MG-UY 4111 Special Topics in Management (1 Cr)

    1 Credits
    Focus on a special topic in Management under the guidance of TM faculty member.

    Note: Pre-approval required by BS BTM Program Director or TM. Department Chair.

    Weekly Lecture Hours: 4 | Weekly Lab Hours: 0 | Weekly Recitation Hours: 0
  
  • MG-UY 4112 Special Topics in Management (2 Cr)

    2 Credits
    Focus on a special topic in Management under the guidance of TM faculty member.

    Note: Pre-approval required by BS BTM Program Director or TM. Department Chair.

    Weekly Lecture Hours: 4 | Weekly Lab Hours: 0 | Weekly Recitation Hours: 0
  
  • MG-UY 4113 Special Topics in Management (3 Cr)

    3 Credits
    Focus on a special topic in Management under the guidance of TM faculty member.

    Note: Pre-approval required by BS BTM Program Director or TM. Department Chair.

    Weekly Lecture Hours: 4 | Weekly Lab Hours: 0 | Weekly Recitation Hours: 0
  
  • MG-UY 4114 Special Topics in Management (4 Cr)

    4 Credits
    Focus on a special topic in Management under the guidance of TM faculty member.

    Note: Pre-approval required by BS BTM Program Director or TM. Department Chair.

    Weekly Lecture Hours: 4 | Weekly Lab Hours: 0 | Weekly Recitation Hours: 0
  
  • MG-UY 4204 Management Science

    4 Credits
    This course teaches students to create mathematical models of managerial problems. Types of models discussed include linear programming, integer-linear programming, non-linear programming, queuing models, decision-tree models, game-theoretic models, simulation models, inventory models and more. Each model is discussed in the context of the assumptions necessary for modeling and the robustness of the model’s managerial recommendations.

    Prerequisite(s): 6 credits of calculus and (MA-UY 2054  or MA-UY 2212  and MA-UY 2222 ).
    Weekly Lecture Hours: 4 | Weekly Lab Hours: 0 | Weekly Recitation Hours: 0
  
  • MG-UY 4214 Financial Strategy

    4 Credits
    This course deals with the financial strategy of modern firms. Topics include planning and implementation of financial strategies for start-up businesses and the utilization of venture capital; diverse issues related to designing financial strategies of rapidly growing companies after experiencing an IPO; challenges in constructing a financial strategy while undergoing a major corporate restructuring; key components of financial strategies for companies facing rapidly changing technological and competitive environments; and development of financial strategies for mature companies and declining business.

    Prerequisite(s): MG-UY 2204  and MG-UY 3204 .
    Weekly Lecture Hours: 4 | Weekly Lab Hours: 0 | Weekly Recitation Hours: 0
  
  • MG-UY 4404 Entrepreneurship

    4 Credits
    This course focuses on key aspects of entrepreneurship as a critical engine for innovation. It also treats entrepreneurship as a state of mind that is not limited to small firms. Students discuss current theories and practices related to starting and managing entrepreneurial enterprises, emphasizing firms in technology-, information- and knowledge-intensive environments. Particular attention is paid to the critical issues of (1) identifying opportunities that provide competitive advantage; (2) the development of a solid business plan; (3) the marketing of new ventures; (4) entrepreneurial business operations, including human-resource and process management; (5) ethical and social issues in entrepreneurial firms; and (6) financial management and fund raising for entrepreneurial firms.

    Prerequisite(s): Junior or senior student status.
    Weekly Lecture Hours: 4 | Weekly Lab Hours: 0 | Weekly Recitation Hours: 0
  
  • MG-UY 4504 Global Perspectives on Technology Management: A Capstone Project Course

    4 Credits
    This course provides students with knowledge of current theories and practices related to managing international and multinational firms. Students study the ways in which international management differs from the management of a firm residing solely within domestic boundaries. Topics covered include planning, organizing, HR management, communication and negotiation and coordination and control of international endeavors. Case studies are used extensively to focus the class on technological examples of problems in international management. Students undertake a term project that either (1) develops a business plan for a technological international venture, (2) creates a case study of a technological firm’s challenges in international management, or (3) analyzes a technological industry’s position vis-à-vis international management.

    Prerequisite(s): MG-UY 3002 , MG-UY 3024 , MG-UY 3204 , MG-UY 3304  and MG-UY 3404 .
    Weekly Lecture Hours: 4 | Weekly Lab Hours: 0 | Weekly Recitation Hours: 0
  
  • MG-UY 4514 Honors Capstone Project in Technology, Innovation and/or Information Management and Entrepreneurship I

    4 Credits
    In this course, qualified honors students work with a faculty member (and perhaps graduate students) on an advanced topic in technology, innovation and/or information management or entrepreneurship. This effort may be directed toward developing theory, developing case material, or developing a business plan and business strategy for a new venture, or another project of this caliber. A Thesis or Honor’s Thesis may compose part of this Honor’s Capstone course.

    Prerequisite(s): Senior status, 3.6 GPA or better through the junior year in major; all courses specified by the project adviser.
    Weekly Lecture Hours: 4 | Weekly Lab Hours: 0 | Weekly Recitation Hours: 0
  
  • MG-UY 4524 Honors Capstone Project in Technology, Innovation and/or Information Management Or Entrepreneurship II

    4 Credits
    In this course, qualified honors students work with a faculty member (and perhaps graduate students) on an advanced topic in technology, innovation and/or information management or entrepreneurship. This effort may be directed toward developing theory, developing case material or developing a business plan and business strategy for a new venture, or another project of this caliber. A Thesis or Honor’s Thesis may compose part of this Honor’s Capstone course.

    Prerequisite(s): Senior status, 3.6 GPA or better through the junior year in major; all courses specified by the project adviser including MG-UY 4514 .
    Weekly Lecture Hours: 4 | Weekly Lab Hours: 0 | Weekly Recitation Hours: 0
  
  • MG-UY 4603 Technology Management—Internship and Service

    3 Credits
    This course provides undergraduate students with the opportunity to learn by working in the field under faculty supervision. This course exposes undergraduates to relevant, state-of-the-art and best practices in modern technology management from the perspective of reflective involvement and interaction in the field. In addition, a service often may be a significant part of this course. The course occurs largely in the field. This course may be taken only once. A member of the TM & I faculty oversees this course; but other faculty members may be involved in directing specific field assignments. This course is open to all undergraduates. Admission for BTM majors requires the permission of the Program Director of the BTM Program.

    Note: This course currently may be applied only in addition to the 128 credits required for graduation from the BS in BTM Program.

    Weekly Lecture Hours: 3 | Weekly Lab Hours: 0 | Weekly Recitation Hours: 0
  
  • MG-UY 4904 BS Thesis in Business and Technology Management

    4 Credits
    BTM students who earn an overall 3.0 GPA and a 3.4 GPA or better in technology management courses through their junior year of study qualify for an optional thesis. They are advised to meet with the TM &I Department Head or BTM Program Director in advance of completing their junior year. Before registering for the BTM Thesis, the student must find a Technology Management and Innovation Department faculty member agreeing to serve as thesis adviser and then receive the TM & I Department Head’s approval in writing before proceeding. BTM Thesis students are permitted to replace either the Honor’s Capstone Project I MG-UY 4514  or Honor’s Capstone Project II MG-UY 4524  with MG 4904. This course cannot be repeated.

    Prerequisite(s): Overall 3.0 GPA and a 3.4 GPA or better in MG courses through their junior year.
    Note: TM Department Chair approval.

    Weekly Lecture Hours: 4 | Weekly Lab Hours: 0 | Weekly Recitation Hours: 0
  
  • PL-UY 4052 Business Ethics

    2 Credits

Manufacturing Engineering

Graduate Courses

The courses with MN designations below are followed by courses from other programs that commonly are taken by manufacturing engineering students.

  
  • MN-GY 6113 Quality Control and Improvement

    3 Credits
    This course provides students with a solid foundation in the cost of quality, quality assurance and quality management. Emphasis is placed on the basic tools of quality control such as control charts and their use, the concept of “out of control,” acceptance sampling, variables and attributes charts, and producer’s and consumer’s risk. This course uniquely demonstrates the power of teams of people with different expertise to improve quality. A course project is required.

    Prerequisite(s): MA-GY 6513  or equivalent.
    Also listed under: IE-GY 6113 .
    Weekly Lecture Hours: 3 | Weekly Lab Hours: 0 | Weekly Recitation Hours: 0
  
  • MN-GY 6123 Quality Engineering Using Robust Design

    3 Credits
    This course reviews broadly the procedures involved in improving the quality of manufacturing. By employing both Taguchi techniques, such as the use of signal-to-noise ratio representations and other techniques less sensitive to parameter interactions, a full spectrum of robust design methods are presented. Applications of these procedures are reviewed, including online troubleshooting methods to assure quality in manufacturing.

    Prerequisite(s): MN-GY 6113  or IE-GY 6113 .
    Also listed under: IE-GY 6123 .
    Weekly Lecture Hours: 3 | Weekly Lab Hours: 0 | Weekly Recitation Hours: 0
  
  • MN-GY 6303 Operations Management

    3 Credits
    This course examines analytical techniques to design and operate production and service systems, including facility layouts and locations, capacity planning, job sequencing, inventory control and quality control. Topics include introductory linear programming and other formal methods. Students use computers and case studies.

    Also listed under: MG-GY 6303 .
    Weekly Lecture Hours: 3 | Weekly Lab Hours: 0 | Weekly Recitation Hours: 0
  
  • MN-GY 6323 Building High Performance Teams

    3 Credits
    Successful manufacturing programs require the teaming of a number of professionals having a variety of types of expertise, such as product design, manufacturing-process design, production engineering, quality control, testing and packaging. In the past, these individual experts were involved only in a serial fashion in the overall product realization process, with not very effective results. Considerable evidence suggests that uniting these experts in a consistent team produces substantial benefits. This course provides students with the skills and knowledge to build work-unit effectiveness. Topics include diagnosing team functioning, understanding group dynamics, and creating a productive team culture, surfacing and resolving critical issues, and implementing strategies for organizational support.

    Weekly Lecture Hours: 3 | Weekly Lab Hours: 0 | Weekly Recitation Hours: 0
  
  • MN-GY 6513 Design Strategies

    3 Credits
    Product design is a major determinant of product cost, quality and customer satisfaction. This course explores the design process, including establishing customer requirements and developing product specifications, conceptual design, detailed design, design for manufacturability, competitive analysis and design for the environment. Computer-aided applications and case studies are reviewed.

    Weekly Lecture Hours: 3 | Weekly Lab Hours: 0 | Weekly Recitation Hours: 0
  
  • MN-GY 7503 Introduction to Target Costing—Customer Driven Product Design

    3 Credits
    Target Costing is a disciplined process for determining and realizing a total cost at which a product with specified functionality must be produced to generate the desired profitability at its anticipated selling price. This course presents both the theoretical foundation and the practical application of Target Costing methodology to the product-realization process. The topics include basic accounting, principles of Target Costing, the Target Costing Process, quantifying the customer requirements, defining the product feature set, price forecasting, experience curves, cost- functionality tradeoffs and implementation check lists. The course includes a hands-on design project in which teams of students will apply the principles of target costing to design a new product.

    Note: Online version available.

    Weekly Lecture Hours: 3 | Weekly Lab Hours: 0 | Weekly Recitation Hours: 0
  
  • MN-GY 7713 Product Realization Process

    3 Credits
    Getting new products developed and to market is a major factor in determining global competitiveness. This course uses case studies to illustrate the product-realization process and the successful application of R&D, concurrent engineering, cross-functional teams, continuous improvement, computer applications, target costing and management of new product development.

    Weekly Lecture Hours: 3 | Weekly Lab Hours: 0 | Weekly Recitation Hours: 0
  
  • MN-GY 7763 Manufacturing Resources Planning

    3 Credits
    This course discusses computerized systems to run a manufacturing business effectively. Also discussed are the process of software specification, evaluation, selection and implementation. Other topics include manufacturing resources planning logic, enterprise resource planning, manufacturing-execution systems, inventory management and bill of materials. Several software systems and their features are highlighted.

    Also listed under: IE-GY 7763 .
    Weekly Lecture Hours: 3 | Weekly Lab Hours: 0 | Weekly Recitation Hours: 0
  
  • MN-GY 7853 Computer Integrated Manufacturing Systems (CIMS)

    3 Credits
    This course introduces the basic concepts of manufacturing products with complex processes that rely heavily on computer and data-processing technologies. All aspects relative to products and processes-planning, design, manufacturing, shipping are addressed from a variety of perspectives. Techniques to manage and optimize manufacturing productivity are explored.

    Also listed under: IE-GY 7853 .
    Weekly Lecture Hours: 3 | Weekly Lab Hours: 0 | Weekly Recitation Hours: 0
  
  • MN-GY 7873 Lean Manufacturing

    3 Credits
    This course provides an overview to the basic principles, and theories of lean manufacturing which involves identifying and eliminating non-value-adding activities in design, production, and supply chain management. Students will learn an integrated approach to efficient manufacturing with emphasis on synchronized product, quick changeover, cell design, visual factory, value stream, one-piece flow and understand the metrics used to monitor performance.

    Also listed under: IE-GY 7873 .
    Note: Online version available.

    Weekly Lecture Hours: 3 | Weekly Lab Hours: 0 | Weekly Recitation Hours: 0
  
  • MN-GY 7883 Manufacturing Systems Engineering

    3 Credits
    This course concentrates on contemporary techniques for product design and manufacture, including financials of the manufacturing firm, quality, reliability, Taguchi methods of product and process design, scale up and partitioning, production flows, modern manufacturing methods such as Just- In-Time/Total-Quality-Control, pull and synchronized manufacturing. Cultural factors are also discussed.

    Also listed under: IE-GY 7883 .
    Weekly Lecture Hours: 3 | Weekly Lab Hours: 0 | Weekly Recitation Hours: 0
  
  • MN-GY 7893 Production Science

    3 Credits
    This course reviews just-in-time and synchronous manufacturing methods. It analyzes the basic dynamics of factories to understand the importance of congestion and bottleneck rates on cycle time and inventories. Analytical models are developed to study variability and randomness introduced by breakdown, setups and batching. Simulation studies are used to provide data on performance of transfer lines.

    Weekly Lecture Hours: 3 | Weekly Lab Hours: 0 | Weekly Recitation Hours: 0
  
  • MN-GY 7923 Design for Manufacturability

    3 Credits
    This course introduces concepts and techniques for economical, functionally sound and high-quality product design for manufacture. The emphasis is on designing for easy robotic and manual assembly, and on using plastics effectively to reduce manufacturing costs. Managerial and organizational approaches and case studies of successful designs are reviewed.

    Also listed under: IE-GY 7923 .
    Note: Online version available.

    Weekly Lecture Hours: 3 | Weekly Lab Hours: 0 | Weekly Recitation Hours: 0
  
  • MN-GY 7933 Environmental Health and Safety

    3 Credits
    This course presents an overview of environmental, health and safety management. Students are introduced to management systems within a manufacturing operation. The course explores the motivations and strategies for environmental, health and safety management. Students learn about the mandatory standards along and about the technical and legal rationale for insuring that workers have a safe and healthy workplace. Because workers safety and health are protected by laws, these skills are needed to work effectively in operations; human resources and employee development as well as industrial relations.

    Also listed under: IE-GY 7933 .
    Note: Online version available.

    Weekly Lecture Hours: 3 | Weekly Lab Hours: 0 | Weekly Recitation Hours: 0
  
  • MN-GY 7943 Physical Design of Products


    This graduate course is offered irregularly in response to industry demand.

  
  • MN-GY 7953 Basics of Supply Chain Operations Management

    3 Credits
    Supply chain operations seeks to integrate and accelerate the flow of materials, information and cash, throughout the process of supplying goods or services. Supply chain operations optimizes the efforts of suppliers, manufacturers, warehouses, distributors, retailers and customers to create an efficient and robust process. On the service side the same concepts prevail with the suppliers, institutions, providers, administrators and customers. All businesses are part of a supply chain, and understanding and realizing this relationship leads to economies of time, mate- rial, money and improved customer service.

    Weekly Lecture Hours: 3 | Weekly Lab Hours: 0 | Weekly Recitation Hours: 0
  
  • MN-GY 7963 Electronics Systems Manufacturing

    3 Credits
    In this course, students understand that the physical design and manufacturability of modern electronics systems results from tradeoffs involving partitioning, electrical performance, cooling and mechanical stresses. Design parameters are derived to study the tradeoffs, along with specific examples from reverse-engineering studies. The current status and future directions of low-cost, high-volume manufacturing technologies are examined.

    Weekly Lecture Hours: 3 | Weekly Lab Hours: 0 | Weekly Recitation Hours: 0
  
  • MN-GY 7983 Supply Chain Infrastructure

    3 Credits
    Effective supply chain operations require well designed, quality products, and the echelons of the supply chain must operate as a team. These elements, also termed the infrastructure, are presumed to exist. The objective of this course is to provide detailed information on the infrastructure elements required to operate a competitive supply chain. This infrastructure will cover product design and development, quality, employee involvement and communication, supplier and customer relationships, logistics, warehousing, information technology and e-business. Among the topics covered in detail will be product realization process and product design; house of quality; quality improvement process; six sigma; kaizan; employee motivation; communication and team dynamics; logistics including networks, third and fourth party organizations; warehousing, including optimum location, innovative information technology and e-business models.

    Weekly Lecture Hours: 3 | Weekly Lab Hours: 0 | Weekly Recitation Hours: 0
  
  • MN-GY 7993 Supply Chain Engineering

    3 Credits
    Students in this course gain an understanding of how companies plan, source, make and deliver their products with a global competitive advantage. The course stresses the engineering components in developing an integrated supply chain that covers the entire manufacturing enterprise. It looks at the supply-chain infrastructure and the velocities of different models. The focus is on understanding and detecting the constraints of the infrastructure and the lowest common denominator of the information system used. Students also gain an understanding of logistical networks and the optimizing of the various traffic and location alternatives. Synchronization of supply and demand is examined in detail, looking at variability in both processes with the objective of maximizing throughput and capacity, emphasizing partnering, e-commerce and the bullwhip effect. Finally, the course establishes global performance measurements that compare companies in different industries.

    Also listed under: IE-GY 7993 .
    Weekly Lecture Hours: 3 | Weekly Lab Hours: 0 | Weekly Recitation Hours: 0
  
  • MN-GY 8023 Thermal Design of Electronics System for Performance and Reliability


    This graduate course is offered irregularly in response to industry demand.

  
  • MN-GY 8043 Thermal Issues in Manufacturing Processes


    This graduate course is offered irregularly in response to industry demand.

  
  • MN-GY 8643 New Product Development

    3 Credits
    This course examines the dynamics of technology and the pressures of competition that drive enterprises to make their product-development and production processes strategically more effective and economically more cost and time efficient. The course covers the state of the art in new product activities for services and manufacturing firms. It also examine in-depth the linkages among marketing, technology and manufacturing technology.

    Also listed under: MG-GY 8643 .
    Weekly Lecture Hours: 3 | Weekly Lab Hours: 0 | Weekly Recitation Hours: 0
  
  • MN-GY 8653 Managing Technological Change and Innovation

    3 Credits
    This course focuses on how to manage effectively technological change and innovation by using a dual perspective. One perspective is based on individual, group and organizational theory, research and practice. This body of literature, viewpoints and experience provides essential guides to manage successfully the introduction of new technologies. Realizing the full potential of new technologies requires managing change effectively to assure 100 percent stakeholder commitment. The second perspective is based on innovation theory, research and practice. This body of literature, viewpoints and experience provides key insights to manage effectively the process of innovation and the impact of innovation on all parts of an enterprise. Specifically, explicit consideration is given to a firm’s to manage and inspire people so that they can communicate and innovate effectively.

    Also listed under: MG-GY 8653 
    Weekly Lecture Hours: 3 | Weekly Lab Hours: 0 | Weekly Recitation Hours: 0
  
  • MN-GY 9113 Selected Topics in Manufacturing Engineering I

    3 Credits
    Areas not covered in other courses. Specific topics vary according to the instructor, who may be a visiting professor. Topics and prerequisites are announced during the term before the offering.

    Weekly Lecture Hours: 3 | Weekly Lab Hours: 0 | Weekly Recitation Hours: 0
  
  • MN-GY 9123 Selected Topics in Manufacturing Engineering II

    3 Credits
    Areas not covered in other courses. Specific topics vary according to the instructor, who may be a visiting professor. Topics and prerequisites are announced during the term before the offering.

    Weekly Lecture Hours: 3 | Weekly Lab Hours: 0 | Weekly Recitation Hours: 0
  
  • MN-GY 9303 Readings in Manufacturing Engineering I

    3 Credits
    In this course, students read selected papers and current literature in specialized area of study and are guided by a faculty member. The topic must be beyond the scope of regularly offered courses. The topic must be agreed upon by the student and adviser before registration. A written report on the topic is required.

    Prerequisite(s): Approval of adviser, instructor and department head.
  
  • MN-GY 9313 Readings in Manufacturing Engineering II

    3 Credits
    In this course, students read selected papers and current literature in specialized area of study and are guided by a faculty member. The topic must be beyond the scope of regularly offered courses. The topic must be agreed upon by the student and adviser before registration. A written report on the topic is required.

    Prerequisite(s): Approval of adviser, instructor and department head.
  
  • MN-GY 9963 MS Report I

    3 Credits
    This course is an independent project that demonstrates a student’s professional maturity and graduate-level knowledge. Students, guided by an adviser, are expected to demonstrate experimental work, software development and extensive analyses. A student’s report must include results in one or more of these areas: critical analysis and interpretation of pertinent literature. A required written report (unbound) should represent a worthy contribution.

    Prerequisite(s): Adviser’s approval.
  
  • MN-GY 9973 MS Report II

    3 Credits
    With approval by the graduate adviser, some students may take a 6-credit MS report. This report should be planned during registration for MN-GY 9963 . In such cases, MN 9973 is used for the second half of the registration. A grade of S or U is awarded in MN-GY 9963  in these cases, and the letter grade given in MN 9973 applies to all 6 credits.

    Prerequisite(s): Adviser’s approval.

Materials Science

  
  • MT-UY 2811 Materials Science Laboratory

    1 Credits
    Students learn to characterize the microstructure and crystal structure of a material by optical and scanning electron microscopy and X-ray diffraction. The mechanical characterization is accomplished by hardness, tensile and yield strength, impact and fatigue testing.

    Prerequisite(s): PH-UY 1013  and CM-UY 1004 . Corequisite(s): MT-UY 2813 .
    Weekly Lecture Hours: 0.5 | Weekly Lab Hours: 0 | Weekly Recitation Hours: 1.5
  
  • MT-UY 2813 Introduction to Materials Science

    3 Credits
    Students in this course become familiar with atomic structure and bonding, atomic arrangement in crystals, crystal imperfections, mechanical behavior and failure of materials and binary phase diagrams.

    Prerequisite(s): PH-UY 1013  and CM-UY 1004 . Corequisite(s): MT-UY 2811 .
    Weekly Lecture Hours: 3 | Weekly Lab Hours: 0 | Weekly Recitation Hours: 0
  
  • MT-UY 4853 Manufacturing Engineering and Processes

    3 Credits
    This course introduces the manufacturing processes for fabricating components used in mechanical systems; casting processes; bulk metal deformation and sheet-metal forming processes; materials-removal processes; Joining and fastening processes; manufacturing automation; and integrated manufacturing systems.

    Prerequisite(s): MT-UY 2811  and MT-UY 2813 .
    Weekly Lecture Hours: 3 | Weekly Lab Hours: 0 | Weekly Recitation Hours: 0

Mathematics

  
  • MA-GY 5024 ePoly: Fundamentals of Calculus 1

    4 Credits
    This course covers library of Functions: functions of one variable. Limits, derivatives of functions defined by graphs, tables and formulas, differentiation rules for power, polynomial, exponential and logarithmic functions, derivatives of trigonometric functions, the product and quotient rule, the chain rule, applications of the chain rule, maxima and minima, optimization. Note: this course does not apply as credit toward a student’s graduate degree. Cannot be taken if student has completed MA-UY 1024. Students may be required to pay for ProctorU and WebAssign.

    Prerequisite(s): Math Diagnostic Placement Exam or MA-UY 912  or MA-UY 914  or Departmental Permission.
    Weekly Lecture Hours: 4 | Weekly Lab Hours: 0 | Weekly Recitation Hours: 0
  
  • MA-GY 5124 ePoly: Fundamentals of Calculus 2

    4 Credits
    This course covers definite integrals, theorems about integrals, anti-derivatives, second fundamental theorem of calculus, techniques of integration, introduction to ordinary differential equations, improper integrals, numerical methods of integration, applications of integration, sequences, series, power series, approximations of functions via Taylor polynomials, Taylor series. Note: this course does not apply as credit toward a student’s graduate degree. Cannot be taken if student has completed MA-UY 1124. Students may be required to pay for ProctorU and WebAssign.

    Prerequisite(s): MA-GY 5024  or MA-UY 1024 
    Weekly Lecture Hours: 4 | Weekly Lab Hours: 0 | Weekly Recitation Hours: 0
  
  • MA-GY 5313 Applied Mathematics in Engineering and Science I

    3 Credits
    This course covers: Use of matrix algebra techniques in applications. Vector spaces. Solutions of linear algebraic equations. Linear independence. Rank of matrix. Linear transformations. Orthogonality. Gram-Schmidt procedure. Orthogonal matrices. Eigenvalues and eigenvectors. Spectral decomposition. Similarity transformations. Pseudoinverses. Singular value decomposition. Jordan form. Condition numbers of matrices. Iterative methods for eigenvalues of symmetric matrices.

    Prerequisite(s): MA-UY 2122  and MA-UY 2132  or equivalent.
    Note: Not acceptable for graduate credit in the Department of Mathematics.

    Weekly Lecture Hours: 3 | Weekly Lab Hours: 0 | Weekly Recitation Hours: 0
  
  • MA-GY 5323 Applied Mathematics in Engineering and Science II

    3 Credits
    This course covers: Some common partial differential equations, boundary conditions, separation of variables. Wave equation, dif- fusion equation, Laplace equation. Axial symmetry and spherical symmetry. Adjoint operators and Sturm-Liouville problems. Expansions in orthogonal eigenfunctions. Method of Frobenius. Bessel functions. Integral representations. Asymptotic expansions. Legendre polynomials. Spherical harmonics. Spherical Bessel functions.

    Prerequisite(s): MA-GY 5313 .
    Note: Not acceptable for graduate credit in the Department of Mathematics.

    Weekly Lecture Hours: 3 | Weekly Lab Hours: 0 | Weekly Recitation Hours: 0
  
  • MA-GY 5413 Stringology: Mathematics of String Comparisons in Computational Biology

    3 Credits
    The course addresses basic combinatorial problems of string manipulation, string matching, string editing, and string distance computations that arise from areas of text processing. Computational biology and genomics. Classical, modern, and entirely new approaches to these problems are presented with all necessary mathematical and computer science backgrounds (including coding theory and symbolic manipulation). Emphasis is on practical and effective algorithm implementations.

    Weekly Lecture Hours: 3 | Weekly Lab Hours: 0 | Weekly Recitation Hours: 0
  
  • MA-GY 6003 Elements of Discrete Mathematics

    3 Credits
    This course covers logic, sets and functions, algorithms, analysis of algorithms. Mathematical models, primitives of naïve set theory. Covered topics: Mathematical reasoning, methods of proof, mathematical induction, recursive definitions, recursive algorithms, Counting, the Pigeonhole principle, discrete probability, recurrence relations, generating functions, inclusion-exclusion. Introduction to graph theory, counting and algorithm analysis, relations, graphs, Boolean algebras, circuits. Turing Machines, algorithm complexity. Introduction to algebraic structures.

    Prerequisite(s): Adviser’s approval.
    Weekly Lecture Hours: 3 | Weekly Lab Hours: 0 | Weekly Recitation Hours: 0
  
  • MA-GY 6013 Applied Matrix Theory I

    3 Credits
    This course covers the basics of linear algebra and matrix theory. Topics included: Vector Spaces, linear combinations, affine combinations, linear dependence, affine dependence, bases, dimension, isomorphism, subspaces, calculus of subspaces, dimension of subspaces, dual vector spaces and dual bases, direct sums of vector spaces, quotient spaces, bilinear forms, tensor products, permutations, cycles, parity, linear transformations, transformations as vectors, polynomials, inverses, matrices, matrices associated with linear transformations, invariance, reducibility, projections, adjoints, change of basis, similarity.

    Prerequisite(s): MA-UY 2012  and MA-UY 2122  or equivalent.
    Weekly Lecture Hours: 3 | Weekly Lab Hours: 0 | Weekly Recitation Hours: 0
  
  • MA-GY 6023 Applied Matrix Theory II

    3 Credits
    Linear algebra and matrix theory. Topics covered: linear mappings, their range and null spaces, tensor product of transformations, determinants, eigenvalues, multiplicities, triangular form, nilpotence, Jordan form, inner products, inner product spaces, orthogonality, completeness, Schwarz’s inequality, complete orthonormal sets, the projection theorem, linear functionals, self-adjoint transformations, polarization, positive transformations, isometries, change of orthonormal basis, characterization of spectra, the spectral theorem, normal transformations orthogonal transformations, functions of transformations, polar decomposition, commutativity. Applications for matrices and for differential equations.

    Prerequisite(s): MA-GY 6013 .
    Weekly Lecture Hours: 3 | Weekly Lab Hours: 0 | Weekly Recitation Hours: 0
  
  • MA-GY 6103 Graph Theory

    3 Credits
    This course covers: graphs and digraphs, subgraphs, paths, cycles, trees and forests. Contraction and minors. Vertex-connectivity and edge-connectivity. Structure of k-connected graphs. Menger’s theorem. Planar graphs, drawings and embeddings. Graph colorings: vertex-coloring, edge-coloring, list coloring. Perfect graphs. Network flows, Ford-Fulkerson Theorem. Matching, Packing and Covering. Ramsey theory. Extremal graph theory, Szemeredi’s regularity lemma. Hamilton cycles. Random graphs. The probabilistic method. Tree-decompositions, treewidth. The graph minor theorem.

    Prerequisite(s): MA-GY 6003  or adviser’s approval.
    Weekly Lecture Hours: 3 | Weekly Lab Hours: 0 | Weekly Recitation Hours: 0
  
  • MA-GY 6123 Queueing Theory

    3 Credits
    This course covers: steady-state solutions for single and multiple channels. Various arrival and service distributions and queuing disciplines. Transient solutions. Emphasis on theory, with solution techniques given for specific classes of queues.

    Prerequisite(s): MA-GY 6003  or adviser’s approval.
    Weekly Lecture Hours: 3 | Weekly Lab Hours: 0 | Weekly Recitation Hours: 0
  
  • MA-GY 6133 Elements of Number Theory

    3 Credits
    This course covers: prime numbers, the fundamental theorem of arithmetic, linear Diophantine equations. Fermat’s Little Theorem, Wilson’s Theorem, Euler’s Theorem. Linear congruences, Chinese Remainder Theorem, Euler phi function, Moebius inversion. Primitive roots and indices, quadratic congruences, Quadratic reciprocity law. Perfect numbers, sums of squares, Siegel’s Theorem. The prime number theorem. Computational number theory, primality testing, Cryptography. Elliptic curves.

    Prerequisite(s): MA-GY 6003  or adviser’s approval.
    Weekly Lecture Hours: 3 | Weekly Lab Hours: 0 | Weekly Recitation Hours: 0
  
  • MA-GY 6143 Optimization: Linear and Nonlinear Programming

    3 Credits
    This course covers: theory and application of linear programming techniques. Simplex and revised simplex algorithms. Duality theory, dual simplex method, post-optimality analysis. Degeneracy. Transportation and assignment problems. Quadratic programming, Kuhn-Tucker conditions. Wolfe’s method.

    Prerequisite(s): MA-GY 6003  or adviser’s approval.
    Weekly Lecture Hours: 3 | Weekly Lab Hours: 0 | Weekly Recitation Hours: 0
  
  • MA-GY 6213 Elements of Real Analysis I

    3 Credits
    This course and its sequel MA-GY 6223  rigorously treat the basic concepts and results in real analysis. Course topics include limits of sequences, topological concepts of sets for real numbers, properties of continuous functions and differentiable functions. Important concepts and theorems include supremum and infimum, Bolzano-Weierstrass theorem, Cauchy sequences, open sets, closed sets, compact sets, topological characterization of continuity, intermediate value theorem, uniform continuity, mean value theorems and inverse function theorem.

    Prerequisite(s): MA-UY 2122  or permission of adviser.
    Weekly Lecture Hours: 3 | Weekly Lab Hours: 0 | Weekly Recitation Hours: 0
  
  • MA-GY 6223 Elements of Real Analysis II

    3 Credits
    This course continues MA-GY 6213 . The topics are integration, series of real numbers, sequences and series of functions and Fourier series. Important concepts and theorems include Riemann and Riemann-Stieltjes integral, fundamental theorem of calculus, the mean value theorem of integrals, Dirichlet test, absolute and conditional convergence, uniform convergence, Weierstrass test, power series, orthogonal functions and Fourier series.

    Prerequisite(s): MA-GY 6213 .
    Weekly Lecture Hours: 3 | Weekly Lab Hours: 0 | Weekly Recitation Hours: 0
  
  • MA-GY 6233 Theory of Ordinary Differential Equations I

    3 Credits
    This course covers ordinary differential equations. Existence and uniqueness theorems. Linear systems. Isolated singularities. Self-adjoint eigenvalue problems. Geometric theory of differential equations in the plane.

    Prerequisite(s): MA-GY 6213  and MA-GY 6223 .
    Weekly Lecture Hours: 3 | Weekly Lab Hours: 0 | Weekly Recitation Hours: 0
  
  • MA-GY 6243 Theory of Ordinary Differential Equations II

    3 Credits
    This course covers ordinary differential equations. Existence and uniqueness theorems. Linear systems. Isolated singularities. Self-adjoint eigenvalue problems. Geometric theory of differential equations in the plane and in sequence to MA-GY 6233 .

    Prerequisite(s): MA-GY 6233 .
    Weekly Lecture Hours: 3 | Weekly Lab Hours: 0 | Weekly Recitation Hours: 0
  
  • MA-GY 6253 Theory of Partial Differential Equations I

    3 Credits
    This course covers partial differential equations. Cauchy-Kowalewski theorem. First order differential equations, systems of differential equations in two variables, characteristics and classification, hyperbolic, parabolic and elliptic systems. Well-posedness.

    Prerequisite(s): MA-GY 6213  and MA-GY 6223 .
    Weekly Lecture Hours: 3 | Weekly Lab Hours: 0 | Weekly Recitation Hours: 0
  
  • MA-GY 6263 Theory of Partial Differential Equations II

    3 Credits
    This course covers partial differential equations. Cauchy-Kowalewski theorem. First order differential equations, systems of differential equations in two variables, characteristics and classification, hyperbolic, parabolic and elliptic systems. Well-posedness and in sequence to MA-GY 6253 .

    Prerequisite(s): MA-GY 6253 .
    Weekly Lecture Hours: 3 | Weekly Lab Hours: 0 | Weekly Recitation Hours: 0
  
  • MA-GY 6283 Mathematical Modeling in Biology

    3 Credits
    This course covers linear and nonlinear difference equations for population growth and propagation. Stability. Competitive systems. Growth of microorganisms. Steady states in chemostats. Predator-prey models. Populations of infectious diseases. Michaelis-Menten kinetics. Cooperative reactions. Hodgkin-Huxlley equations. Fitzhugh-Nagumo model of nerve impulses. Conservation equations. Convection and diffusion of species. Transport in axon. Slime molds. Aggregation. Morphogenesis.

    Prerequisite(s): MA-UY 2122  and MA-UY 2132 .
    Weekly Lecture Hours: 3 | Weekly Lab Hours: 0 | Weekly Recitation Hours: 0
  
  • MA-GY 6303 Elements of Complex Analysis

    3 Credits
    This course covers: complex numbers, analytic functions, Cauchy’s theorem and consequences, isolated singularities, analytic continuation, open mapping theorem, infinite series and products, harmonic and subharmonic functions, maximum principle, fractional linear transformations, geometric and local properties of analytic functions, Weierstrass Theorem, normal families, residues, conformal mapping, Riemann mapping theorem, branch points, second order linear O.D.E.’s.

    Prerequisite(s): MA-UY 2122  and MA-UY 2132  or equivalent.
    Note: Not open to students who have taken MA 3112 or MA 4433.

    Weekly Lecture Hours: 3 | Weekly Lab Hours: 0 | Weekly Recitation Hours: 0
  
  • MA-GY 6313 Applications of Complex Analysis

    3 Credits
    This course continues MA-GY 6303 . Topics covered: residues, complex integration, Laplace transforms. Harmonic functions and classical examples from thermodynamics, electricity and magnetism. Fluid flow. The Schwarz-Christoffel transformation.

    Prerequisite(s): MA-GY 6303 .
    Weekly Lecture Hours: 3 | Weekly Lab Hours: 0 | Weekly Recitation Hours: 0
  
  • MA-GY 6403 Elements of Geometry and Topology

    3 Credits
    This course covers differential geometry in the plane. Introduction to transformation groups. Space curves and ruled surfaces. Tensors and exterior forms. Manifolds and tensor fields. Theory of surfaces. Introduction to Riemannian geometry.

    Prerequisite(s): MA-UY 2122  and MA-UY 2132  or equivalent.
    Weekly Lecture Hours: 3 | Weekly Lab Hours: 0 | Weekly Recitation Hours: 0
  
  • MA-GY 6513 Applied Statistics I (Data Analysis)

    3 Credits
    This course covers: Treatment of statistical methods and application to analysis of data, fitting of functions to data. Estimation of population parameters, t-tests, chi square tests, rank tests.

    Prerequisite(s): MA-UY 1124  or equivalent.
    Weekly Lecture Hours: 3 | Weekly Lab Hours: 0 | Weekly Recitation Hours: 0
  
  • MA-GY 6523 Regression-Analysis of Variance-Time Series Analysis

    3 Credits
    This course discusses models and computational schemes associated with correlation, regression coefficients, analysis of variance and time series models.

    Prerequisite(s): MA-UY 4113  or MA-GY 6513 .
    Weekly Lecture Hours: 3 | Weekly Lab Hours: 0 | Weekly Recitation Hours: 0
  
  • MA-GY 6583 Calculus of Variations

    3 Credits
    This course covers: classical problems, such as geodesics, brachistochrones, isoperimetric problems. Euler equations. Geodesic coverings. Weierstrass condition. Hamilton-Jacobi equation. First and second variations. Transversality. Convex sets and functions. Duality. Existence theorems. Generalized curves. Control theory. Time-optimal problems. Optimal processes. Extension of elementary theory of maxima and minima. Euler equations, conditions of Weierstrass, Legendre and Jacobi, Mayer fields, Hamilton-Jacobi equations, transversality, conjugate and focal points. Applications to geodesics, minimal surfaces, isoperimetric problems, Hamilton’s principle, Fermat’s principle, brachistochrones.

    Prerequisite(s): MA-UY 4623  or MA-GY 6223 .
    Weekly Lecture Hours: 3 | Weekly Lab Hours: 0 | Weekly Recitation Hours: 0
  
  • MA-GY 6653 Numerical Analysis

    3 Credits
    This course covers interpolation. Approximation of functions by polynomials. Fast Fourier transform. Numerical integration. Solution of nonlinear equations. Iterative improvement of solutions of linear equations. Eigenvalues of matrices. Numerical solution of ordinary differential equations.

    Prerequisite(s): MA-UY 2122 , MA-UY 2132  and some experience in computer programming.
    Weekly Lecture Hours: 3 | Weekly Lab Hours: 0 | Weekly Recitation Hours: 0
  
  • MA-GY 6663 Numerical Solution of Partial Differential Equations

    3 Credits
    This course covers: stability, consistency and convergence of finite-difference methods for initial-value problems. Explicit and implicit schemes. Alternating direction methods and fractional-step methods. Iterative solutions of finite-difference equations for elliptic boundary value problems. Finite elements. Integral equation methods. Nonlinear semigroups, conservation laws and level set methods.

    Prerequisite(s): MA-GY 6013 , MA-GY 6653  and some experience in computer programming.
    Weekly Lecture Hours: 3 | Weekly Lab Hours: 0 | Weekly Recitation Hours: 0
  
  • MA-GY 6683 Partial Differential Equations of Mathematical Physics

    3 Credits
    This course covers first and second order partial differential equations and systems of equations. Initial and boundary value problems. Fundamental solutions and Green’s functions. Theory of characteristics. Eigenvalue problems. Rayleigh-Ritz and Ritz-Galerkin methods. Approximate and asymptotic methods. Nonlinear equations. Applications.

    Prerequisite(s): MA-UY 4623  or equivalent.
    Weekly Lecture Hours: 3 | Weekly Lab Hours: 0 | Weekly Recitation Hours: 0
  
  • MA-GY 6813 Elements of Probability

    3 Credits
    This course covers probability of events, distribution of random variables, joint distribution, transformations.

    Prerequisite(s): MA-UY 2122  and MA-UY 3012  or equivalent.
    Weekly Lecture Hours: 3 | Weekly Lab Hours: 0 | Weekly Recitation Hours: 0
  
  • MA-GY 6823 Stochastic Processes

    3 Credits
    This course covers: normal and stationary processes, Wiener processes, Poisson and renewal processes, Markov processes.

    Prerequisite(s): MA-GY 6813  or equivalent.
    Weekly Lecture Hours: 3 | Weekly Lab Hours: 0 | Weekly Recitation Hours: 0
  
  • MA-GY 6833 Statistical Inference I

    3 Credits
    This course covers point and interval estimation of statistical parameters. Theory of statistical estimators. Fundamentals of statistical tests of hypotheses. Second semester: extended theory of hypothesis testing, including sequential tests. Nonparametric methods in statistics.

    Prerequisite(s): MA-GY 6813  or equivalent.
    Weekly Lecture Hours: 3 | Weekly Lab Hours: 0 | Weekly Recitation Hours: 0
  
  • MA-GY 6843 Statistical Inference II

    3 Credits
    This course covers point and interval estimation of statistical parameters. Theory of statistical estimators. Fundamentals of statistical tests of hypotheses. Second semester: extended theory of hypothesis testing, including sequential tests. Nonparametric methods in statistics and in continuation of MA-GY 6833 .

    Prerequisite(s): MA-GY 6833 .
    Weekly Lecture Hours: 3 | Weekly Lab Hours: 0 | Weekly Recitation Hours: 0
  
  • MA-GY 6853 Multivariate Analysis

    3 Credits
    This course covers multivariate normal distribution. Simple, partial, and multiple correlation. Generalization of student’s ratio. Tests of significance of sets of means. Tests of general linear hypothesis. Some generalizations of analysis of variance.

    Prerequisite(s): MA-GY 6843 .
    Weekly Lecture Hours: 3 | Weekly Lab Hours: 0 | Weekly Recitation Hours: 0
  
  • MA-GY 6863 Regression and Analysis of Variance

    3 Credits
    This course covers linear regression of one or more independent variables. Least square estimates regression coefficients. Gauss-Markov theorem. Confidence regions for and tests of hypotheses about regression coefficients. Tests of general linear hypothesis. Multiple classification in analysis of variance. Power of F-test. Alternative models: I and II, mixed models, analysis of covariance and components of variance.

    Prerequisite(s): MA-GY 6843 .
    Weekly Lecture Hours: 3 | Weekly Lab Hours: 0 | Weekly Recitation Hours: 0
 

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