Industrial Engineering

Model random events and queuing systems using probability theory and Markov chains.

Analyze forces on objects at rest and in motion to predict how structures and machines behave.

Solve equations describing how systems change over time, from circuits to population growth.

Extend single-variable calculus into 3D with multivariable functions, vectors, and surface integrals.

Collect and analyze data to make reliable decisions using probability, regression, and hypothesis tests.

Compare costs, benefits, and return on investment to make smart engineering project decisions.

Find the best possible solution to problems with constraints using mathematical optimization techniques.

Use mathematical models to make optimal decisions about scheduling, routing, and resource allocation.

Study machining, casting, welding, and 3D printing methods used to make physical parts.

Design workstations, controls, and interfaces that fit human abilities and reduce errors.

Use statistical methods to detect defects, reduce variation, and predict product lifespans.

Schedule machines, workers, and inventory to meet demand efficiently in manufacturing settings.

Build computer simulations of factories, hospitals, and logistics to test improvements before implementing them.

Optimize how materials and products move from suppliers through factories to customers.

Manage the design of large, complex systems by coordinating requirements, testing, and integration.