Syllabus for Math 4620/5620, Spring 2024

COURSE TITLE:

Linear and Nonlinear Optimization

WHEN AND WHERE:

Tu, Th 12:30-1:50, 218 Morton Hall

INSTRUCTOR:

Vardges Melkonian, 543 Morton Hall, melkonia@ohio.edu

OFFICE HOURS:

M 11:30-12:30 online in Microsoft Teams - Melkonian Office Hours Room

Th 1:55-2:50, in-person in 543 Morton Hall.

If you need to see me outside my office hours, send me e-mail for an appointment.

CLASS WEBSITE:

https://people.ohio.edu/melkonia/math4620/

COURSE CONTENT:

Optimization of functions subject to equality and inequality constraints. Formulation of linear programming problems and solutions by the simplex method. Related topics such as sensitivity analysis, duality theory and network optimization. Applications of linear programming. Introduction to nonlinear programming techniques.

TEXTBOOK:

Introduction to Operations Research, by Frederick Hillier and Gerald Lieberman (optional).

GRADING:

Two preliminary tests worth 20% each, final exam worth 35% of your final mark.

Homework 20%, class participation 5%. Final grades will be determined from the following scale: 90-100 A, 78-90 B, 66-78 C, 54-66 D.

CHEATING:

Don't . The penalty may be an F for the course. See http://www.ohio.edu/communitystandards/academic/students.cfm for details.

ATTENDANCE:

Strongly recommended. Students are responsible for all information and material given in class.

HOMEWORK:

There will be about 5 homework assignments. Only selected homework problems will be collected and graded. The homework assignments will be posted at https://people.ohio.edu/melkonia/math4620/homework.html .

SPECIAL NEEDS:

If you have specific physical, psychiatric, or learning disabilities and require accommodations, please let me know as soon as possible so that your learning needs may be appropriately met. You should also register with Student Accessibility Services to obtain written documentation and to learn about the resources they have available.

TEST DATES (tentative):

● Test 1: February 22 (Th)

● Test 2: April 9 (Tu)

● Final: May 2 (Th), 10:10 a.m.