Academic Catalog

OR519 MATHEMATICS FOR OR

Course Code: 8800519
METU Credit (Theoretical-Laboratory hours/week): 3(3-0)
ECTS Credit: 8.0
Department: Operational Research
Language of Instruction: English
Level of Study: Graduate
Course Coordinator: Assist.Prof.Dr MUSTAFA KEMAL TURAL
Offered Semester: Fall Semesters.

Course Content

Vector and matrix spaces, linear transformations and solution of linear equations. Change of basis. Eigenvectors and diagonalization by similarity transformations. Topological concepts. Sequences of functions, continuity and existence of extrema; over compact sets. Directional derivatives and the gradient. Taylor s theorem and extrema; quadratic forms. Convexity and its role in constrained optimization. Laplace and geometric transformations and their use in solving differential and difference equations.