For a regular Form I present verb, the passive commonly has the pattern يُفْعَلُ: the prefix takes ḍamma and the penultimate radical fatḥa.
يَكْتُبُ → يُكْتَبُ (writes → is written); يَفْتَحُ → يُفْتَحُ (opens → is opened).
In يُكْتَبُ الدَّرْسُ, «الدَّرْسُ» is nominative nāʾib al-fāʿil.