It's the same form for undergraduate and postgraduate applications, but at graduate level school information and results are NOT required - instead your university certificates and transcripts will be required.
Fill in the form. (Unfortunately, you can't submit electronically.)
Arrange payment of the application fee.
Collect all the supporting documentation and mail it.
Notes on filling in the form
For full details see the "Directions for Applicants" mentioned above.
Section A - Fill in name and date of birth info.
For "Surname on senior certificate (IF different from above)", fill this in only if your surname has changed, and only if that previous surname appears on your BSc or MSc or school certificate.
under "Academic Programme" put
for Honours study in the Faculty of Science
for MSc study in the Faculty of Science
for PhD study in the Faculty of Science
under "Academic Plan" put
for Applied Maths
for Astrophysics and Space Science
for Industrial Maths
for Mathematics of Finance
for Mathematical & Theoretical Physics
for Maths of Computer Science
under "Plan 2 ..." put
Sections C & D - Contact & Parent info.
Fill this in.
Section E & F - School Info.
Leave this blank.
Section G - List anything you've done since leaving school, except further study.
Section H - Provide your higher education info here.
Attach certified copies of BSc & MSc certificates and transcripts with your application.
Section I - UCT residence application.
Fill in only if you want to apply for a university residence room. The main one for graduate students is Woolsack. Many graduate students don't stay in residence, but foreign students may wish to apply.
Section J - Undergraduate funding application.
DON'T fill this in. Postgraduate funding applications are separate.
Section K - Declaration.
You must sign it. Parent's details & signature ONLY needed if you're under 21.
What to Submit
Filled in application form
Certified copies of BSc and MSc certificates and transcripts
Application fee (in 2007: R90 for SADC countries, R300 for rest of world)
[Non-South Africans] Proof of Medical cover.
[Non-South Africans] Proof of English language competancy MAY be required. (Various options, e.g. TOEFL result, phone interview, etc.)
ROUGH guide to South African visa requirements (2003)
My best information on applying for a study permit/visa at the South African Consulate in your country, is that you will need:
A letter offering you a place at UCT.
Proof you have enough funds for your stay in South Africa, including e.g. scholarship award letters.
Proof of medical cover. You can buy medical cover here after you arrive, but you must have existing medical cover for your travel and at least your first month here. It may be worth getting 3 to 6 months of medical cover if it's not too costly --- see just below.
A refundable deposit ("repatriation guarantee") --- the amount varies between countries.
I suspect there'll be an application fee too.
Be sure to check for yourself with your local consulate etc.
Here's the Catch-22: You can't get scholarship money until you've registered at UCT, and you can't register until you've got long term medical cover (min 3 to 6 months) and paid your international term fees in full, and you can't pay without money. Also, you often need to pay a flat deposit before moving in. Arranging medical cover can take several days, and meanwhile you need money for food & housing. Also, UCT scholarships are first used to pay your fees (1st semester), and only if anything is left over do you get a pay out. To avoid this difficulty:
be ABSOLUTELY SURE whether you have a scholarship and how much it is;
be ABSOLUTELY SURE you have enough money BEFORE you come to South Africa;
bring enough money to cover international term fees, medical cover and food & accomodation for your first month or two (or before you leave home, buy medical cover for the first 3 to 6 months),
OR possibly arrange with your supervisor for a loan on arrival, which you refund immediately your scholarship is released. Not many supervisors will be in a postion to do this, so ask first.