'Presumptuous' often implies a subtle form of arrogance; it's about overstepping invisible social bounds. Correcting the professor was considered presumptuous by the rest of the class.
Pro Tip 2/3
Relationship Sensitive
What's presumptuous in one relationship might be fine in another, depending on closeness and context. He found her criticism presumptuous, not knowing her assertive friendship with his mother.
Pro Tip 3/3
Self-importance Alert
Using 'presumptuous' suggests someone is overestimating their role or importance. His presumptuous behaviour at the meeting implied he thought of himself as the boss.