How to get Coursera API Docs ?
You can find Coursera Catalog' API Docs here:
https://docs.google.com/document/d/15gwppUMLp0s1OhbzFZvFSeTbvFkRfSFIkiIKrEP6cUA/edit#heading=h.wpqp7pmo0g4y
According to the link in the accepted answer, the catalog API has been deprecated. Looks like now the only way to query the catalog is through the affiliate program.