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I’m a high school student who wants to study mathematics in university. I’ve worked hard and have also acquired some knowledge of university level courses. That being said, I’d like to be perfect in the basics, which means perfect in everything in the curriculum of high school maths. What are the requirements I should meet and are there any courses or tests I could do to check my knowledge?

Thanks in advance

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closed as primarily opinion-based by Matthew Towers, mrtaurho, Siong Thye Goh, Peter Foreman, Eevee Trainer Apr 16 at 0:12

Many good questions generate some degree of opinion based on expert experience, but answers to this question will tend to be almost entirely based on opinions, rather than facts, references, or specific expertise. If this question can be reworded to fit the rules in the help center, please edit the question.

  • $\begingroup$ Universities can often have summer material ready for beginner engineering students to shape up their algebra knowledge to prepare for University studies. Maybe you can check their homepages. Maybe these days they even have online preparatory course you can take. I heard rumor of this but it was a couple of years after I had taught beginners courses, so I don't have first hand information. $\endgroup$ – mathreadler Apr 14 at 11:15
  • $\begingroup$ @mathreadler could you give concrete example/course from a university? $\endgroup$ – Bjorn Rambi Apr 14 at 11:16
  • $\begingroup$ Sure. student.lth.se/studieinformation/repeteramatematik here is one example at a Swedish University. I am guessing based on nick name that you are Scandinavian (?) You can probably search google or yandex for your university of choice. $\endgroup$ – mathreadler Apr 14 at 11:20
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    $\begingroup$ Nope albanian only understand english and german😂 $\endgroup$ – Bjorn Rambi Apr 14 at 11:21
  • $\begingroup$ What you know from school is not very important. I think you are prepared, when you can manipulate terms how ever you feel. Besides that univerisity math is more about proofs and understanding them. Learning definitions. You might take a look on induction, if you feel the need. Also, as already beeing said, when you are from germany, most universitys have a 'Vorkurs', which prepares the beginners. $\endgroup$ – Cornman Apr 14 at 11:45