OPER 527. Optimization I. 3 Hours.
Semester course; 3 lecture hours. 3 credits. Prerequisites: graduate status in mathematical sciences or systems modeling and analysis, or permission of the instructor. Introduction to optimization and mathematical programming. Course addresses fundamental concepts of optimization (such as optimality conditions and duality) as well as the construction, solution, analysis and application of linear programming and network models. Emphasis is placed on using software to solve problems as well as on understanding its underlying methodology. Integer programming models will be introduced. Students may not receive degree credit for both OPER 427 and OPER 527.
Program goal The Department of Mathematics and Applied Mathematics and the Department of Statistical Sciences and Operations Research jointly offer the M.S. in Mathematical Sciences. The mission of the Department of Statistical Sciences and Operations Research is to offer a strong undergraduate and graduate education, with an increasing focus on the development of cross-disciplinary efforts that will prepare students for real-world applications and stimulating employment and career opportunities. The program offers maximum flexibility by allowing students, in consultation with their graduate committees, to design a course of study that will best develop competence in those areas most relevant to their scholarly and professional objectives. Students may obtain a designation on their transcripts indicating that their graduate study has emphasized the mathematics concentration by completing the requirements that are listed here. A student who has not satisfied the requirements for one of the program concentrations offered, but who has otherwise fulfilled all the requirements for a master’s degree, will be awarded a degree of Master of Science in Mathematical Sciences without any specialization. Student learning outcomes Theory and application of mathematical programming Students will demonstrate a solid foundation in the theory and application of mathematical programming and a comprehensive understanding of basic mathematical programming methods. Theory and application of stochastic models Students will demonstrate a comprehensive understanding of the theory and application of stochastic models and decision analysis. Obtain, analyze and interpret data Students will be able to obtain, analyze and interpret the data necessary to perform operations research projects. Use of software commonly used in industry Students will be able to solve a wide variety of operations research problems employing the software commonly used in industry. Modeling of operations research problems Students will identify and model situations in which operations research can be applied. Mathematical knowledge Students will demonstrate proficiency in the mathematics required to perform operations research methods. Written communication of technical information Students will clearly and concisely present technical information in writing. Oral communication of technical information Students will clearly and concisely present technical information through oral presentations. VCU Graduate Bulletin, VCU Graduate School and general academic policies and regulations for all graduate students in all graduate programs The VCU Graduate Bulletin website documents the official admission and academic rules and regulations that govern graduate education for all graduate programs at the university. These policies are established by the graduate faculty of the university through their elected representatives to the University Graduate Council. It is the responsibility of all graduate students, both on- and off-campus, to be familiar with the VCU Graduate Bulletin as well as the Graduate School website and academic regulations in individual school and department publications and on program websites. However, in all cases, the official policies and procedures of the University Graduate Council, as published on the VCU Graduate Bulletin and Graduate School websites, take precedence over individual program policies and guidelines. Visit the academic regulations section for additional information on academic regulations for graduate students. Degree candidacy requirements A graduate student admitted to a program or concentration requiring a final research project, work of art, thesis or dissertation, must qualify for continuing master’s or doctoral status according to the degree candidacy requirements of the student’s graduate program. Admission to degree candidacy, if applicable, is a formal statement by the graduate student’s faculty regarding the student’s academic achievements and the student’s readiness to proceed to the final research phase of the degree program. Graduate students and program directors should refer to the following degree candidacy policy as published in the VCU Graduate Bulletin for complete information and instructions. Visit the academic regulations section for additional information on degree candidacy requirements. Graduation requirements As graduate students approach the end of their academic programs and the final semester of matriculation, they must make formal application to graduate. No degrees will be conferred until the application to graduate has been finalized. Graduate students and program directors should refer to the following graduation requirements as published in the Graduate Bulletin for a complete list of instructions and a graduation checklist. Visit the academic regulations section for additional information on graduation requirements.