Laplace Transform and Transfer Functions in Engineering Free Online Course by Massachusetts Institute of Technology
Massachusetts Institute of Technology is offering free online course on Laplace Transform and Transfer Functions in Engineering. This course is centered on the concept of the transfer function of a system.
In this nine-week course, applicants will learn to understand mechanical and electrical systems’ behavior using the frequency domain and the Laplace Transform. This course will start on June 28, 2017.
Course At A Glance
Length: 9 weeks
Effort: 2-5 hours pw
Subject: Math
Institution: Massachusetts Institute of Technology and edx
Languages: English
Price: Free
Certificate Available: Yes, Add a Verified Certificate for $49
Session: Course Starts on June 28, 2017
Providers’ Details
Massachusetts Institute of Technology — a coeducational, privately endowed research university founded in 1861 — is dedicated to advancing knowledge and educating students in science, technology, and other areas of scholarship that will best serve the nation and the world in the 21st century. Learn more about MIT. Through MITx, the Institute furthers its commitment to improving education worldwide.
About This Course
This course is about the Laplace Transform, a single very powerful tool for understanding the behavior of a wide range of mechanical and electrical systems: from helicopters to skyscrapers, from light bulbs to cell phones. This tool captures the behavior of the system and displays it in highly graphical form that is used every day by engineers to design complex systems.
This course is centered on the concept of the transfer function of a system. Also called the system function, the transfer function completely describes the response of a system to any input signal in a highly conceptual manner. This visualization occurs not in the time domain, where we normally observe behavior of systems, but rather in the “frequency domain.” We need a device for moving from the time domain to the frequency domain; this is the Laplace transform.
Why Take This Course?
Applicants will learn to understand mechanical and electrical systems’ behavior using the frequency domain and the Laplace Transform.
Learning Outcomes
- How to pass back and forth between the time domain and the frequency domain using the Laplace Transform and its inverse.
- Ways to develop a toolbox for computing with the Laplace Transform.
- How to describe the behavior of systems using the pole diagram of the transfer function.
- Modeling for systems that have feedback loops.
- Modeling sudden changes with delta functions and other generalized functions.
Instructors
Haynes Miller
Haynes Miller joined the MIT mathematics faculty as professor in 1986. A graduate of Harvard, he received the Ph.D. from Princeton under the direction of John Moore in 1974. Following assistant professorships at Harvard and Northwestern Universities, he joined the faculty of the University of Washington in 1977, and the faculty of Notre Dame as professor in 1984. Professor Miller is an algebraic topologist.
Jeremy Orloff
Lecturer
MIT
Requirements
18.031x (Introduction to Differential Equations)
How To Join This Course
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- Choose “Register Now” to get started.
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