Verified Certificate

Supported by the following organizations

This is to certify that Michael Ludwig successfully completed and received a passing grade in 18.03L: Transfer Functions and the Laplace Transform a course of study offered by MITx, an online learning initiative of the Massachusetts Institute of Technology.

Noted by

Haynes Miller

Haynes Miller

Professor, Mathematics Massachusetts Institute of Technology

Jeremy Orloff

Jeremy Orloff

Lecturer, Mathematics Massachusetts Institute of Technology

Sanjay Sarma

Sanjay Sarma

Vice President for Open Learning Massachusetts Institute of Technology