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MAT3007 Optimization I & MAT3220 Optimization II: Home

Note that Optimization is formerly named Operation Research

Intro Part

In mathematics, computer science, economics, or management science, mathematical optimization (alternatively, optimization or mathematical programming) is the selection of a best element (with regard to some criteria) from some set of available alternatives. The course will cover the following topics.

  • Linear programming 
  • Nonlinear programming
  • Integer programming 
  • Multi-objective optimization  
  • Simplex, golden section search algorithms 
  • Steepest descent, and gradient based algorithms
  • Branch-and-bound algorithm 
  • Algorithm analysis, including convergence and optimality analysis
  • Duality theory and sensitivity analysis. 
  • Using computer packages such as MATLAB and GUSEK

Textbooks

Relevant Journal Articles

SIAM: Society for Industrial and Applied Mathematics (SIAM) was incorporated in 1952 as a nonprofit organization to convey useful mathematical knowledge to other professionals who could implement mathematical theory for practical, industrial, or scientific use. SIAM fosters the development of applied mathematical and computational methodologies needed in various application areas. Link to SIAM

INFORMS Journals: INFORMS(The Institute for Operations Research and the Management Sciences) is the leading international association for Operations Research & Analytics professionals. Link to INFORMS Journals

AMS (Journals and MathSciNet): The American Mathematical Society is a professional society that advances research and connects the diverse global mathematical community through publications, meetings and conferences, professional services and awareness programs. Published since 1891, the AMS peer-reviewed journals are of the highest quality in mathematical research and cover a broad range of mathematics. Each journal is managed by editors who are prominent in their fields, and each is unique in its offering of articles, book reviews, and reports. MathSciNet is an electronic publication offering access to a carefully maintained and easily searchable database of reviews, abstracts and bibliographic information for much of the mathematical sciences literature. 

Global Science Press Journals: Communications in Computational PhysicsJournal of Computational MathematicsNumerical Mathematics: Theory, Methods and ApplicationsEast Asian Journal on Applied MathematicsAdvances in Applied Mathematics and Mechanics

Project Euclid is now jointly managed by the Cornell Library and Duke University Press. It was originally created to provide a platform for small scholarly publishers of mathematics and statistics journals to move from print to electronic in a cost-effective way. As of 2020, over 80% of the journal articles hosted on Project Euclid are openly available. Link to Project Euclid Journals

ebooks

Springer

Wiley Online Library 

Science Direct

These three platforms contain both books and journal articles in optimization. You can also try to browse other sub-disciplines in these databases.