This certificate verifies that Calum MacFarlane successfully completed and passed the non-credit online course "Ec1011x: Principles of Economics with Calculus" offered through CaltechX, an online learning initiative of the California Institute of Technology on edX. The certificate was issued on March 23rd, 2015 and can be verified on the edX website.

1. Bing Professor of Neuroscience,
Behavioral Biology, and Economics
California Institute of Technology
Antonio Rangel
HONOR CODE CERTIFICATE Verify the authenticity of this certificate at
CaltechX
CERTIFICATE
HONOR CODE
Calum MacFarlane
successfully completed and received a passing grade in
Ec1011x: Principles of Economics with Calculus
a non-credit course offered by CaltechX, an online learning
initiative of California Institute of Technology through edX.
Issued March 23rd, 2015 https://verify.edx.org/cert/d86b37adea744ded80093c02a58f5982