MAT provides a document titled the "MAT Graduate Student Handbook" for incoming students. You can download the 2022-2023 version here (PDF).
Other Forms that list the requirements necessary for a PhD or Masters of Science degree in the MAT Graduate Program can be found on the UCSB General Catalog website:
UCSB General Catalog - Media Arts & Techology, Master of Science
UCSB General Catalog - Media Arts & Techology, PhD
Various other forms and petitions for UCSB graduate students can be found on this page on the Graduate Division's website: