All transfer-student applicants are required to take a in both mathematics and physics. These exams are to be taken after you submit a transfer application to Caltech.
While I still have some thoughts about transferring to Caltech - which is why I'm posting in these threads in the first place, I still spend most of my time on other things.
A Pillar of Tech Transfer at Caltech | Caltech
DTC (Depository Trust Company) Transfer
Direct your broker or custodian bank to make the transfer to Caltech. Your broker or custodian bank is likely to ask you for a letter of instruction before the transfer can be made. Provide the following DTC transfer information for Caltech to your broker or custodian bank: