Someone registered for a class with your form, but I didn't receive notification. Is there a way to track this?

You may check the submissions received by clicking on Submissions button after selecting the form in your account.

https://www.jotform.com/help/269-How-to-View-Form-Submissions 

If you need to check the email notifications sent, you may check the email history log of your account by following the guide below:

https://www.jotform.com/help/293-How-to-View-All-Your-Form-Email-History 

We will be happy to help. Please get back to us if you need any further assistance. We will be happy to help.