João - for more accurate translation, please provide us with much more context / sentence for all your questions.

More context would be nice.

Does the phrase end "conclusão do curso de João"; or "conclusão do curso de engenharia"

It's all pie in the sky baby!!

IT DEPENDS ON THE CONTEXT

and/after having (successfully) completed [COURSE]
and/after having (successfully) completed the [COURSE]
after successful completion of the [COURSE]


... Students are eligible for membership after having successfully completed 8 semester hours of chemical engineering courses past the freshman level. ...
catalogs.ua.edu/catalog00/21440.html - 8k

... course, 4) being available to conduct tutorial sessions during the week, and 5) having successfully completed the freshman year engineering course sequence. ...
www.foundationcoalition.org/publications/ journalpapers/fie02/peer_teacher.pdf

... After successful completion of Accounting I and II, students will have met Occupational Completion Point - Data Code C, Accounting Clerk -DOT Code 216.482-010. ...
mainland.cctt.org/MHS/ProgramStudies/ Content/Curriculum/view.asp?DTID=101 - 28k

... ecology. Integrated science is an eleventh grade course and is sequenced after successful completion of Physical Science and Biology. ...
www.k12.de.us/howard/Science Dept.htm - 14k

... 1. Must hold a valid Dangerous Goods Regulations Certificate obtained after successful completion of the IATA Dangerous Goods Regulations Initial Course or an ...
www.iata.org/NR/ContentConnector/CS2000/ Siteinterface/sites/ps/file/ATSapplicJanuary20051.pdf


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Note added at 11 hrs 17 mins (2005-01-28 14:47:03 GMT)
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... Successful completion of the four-year course in English will equip our students with capabilities that they will need to compete effectively upon graduation. ...
www.phila.k12.pa.us/schools/olneyhs/english.htm - 5k

... Having successfully completed the one-year Radio Broadcasting course at Glenrothes College last May, which included modules in broadcasting law, editing and ...
www.glenrothes-college.ac.uk/ website/news/news.asp?newsID=38 - 13k

I believe you can phrase it in many ways. Just take a look at university degree diplomas on Google Images. The one I've suggested above is just one of the many I found while I did my research. :)