Tu havias de resumir os apontamentos depois de estudar.

Questions & Answers about Tu havias de resumir os apontamentos depois de estudar.

Why use havias de instead of the conditional deverias (you should)?
Using the Pretérito Imperfeito of haver de (havias de) is a very common Portuguese way to express a recommendation, mild reproach, or piece of advice. While deverias resumir (you should summarize) is perfectly correct, havias de resumir feels a bit more colloquial and carries a slight tone of 'if you knew what was good for you, you would...' or 'you really ought to...'.
Is there a difference between apontamentos and notas?
Yes! In an academic or study context, apontamentos specifically refers to 'study notes' or 'lecture notes' (things you jot down). Notas usually refers to 'grades' on a test, though it can occasionally mean small written notes depending on the context. For studying, apontamentos is the natural choice.
Why do we use the infinitive estudar after depois de instead of a gerund like in English?
In Portuguese, prepositions like de (inside the phrase depois de) are almost always followed by the infinitive form of a verb, never the gerund. So the English 'after studying' translates to depois de estudar (literally 'after of to study').
Since the subject is tu, shouldn't it be the personal infinitive depois de estudares?
You can use the personal infinitive estudares here to be explicit, but it is not strictly necessary. Because the subject (tu) is already clearly established at the beginning of the sentence (Tu havias...), using the regular, uninflected infinitive (estudar) is perfectly natural and avoids repetition. Both are completely correct!

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