Each time you gain a wizard level, you can add two wizard spells of your choice to your spellbook. So, assuming you have a 16 Int, a third level Wizard can prepare 6 spells (3 int mod + 3 level), and your spellbook should contain 10 spells, probably 8 1st level and 2 2nd level.
Can wizards swap out cantrips?
Can clerics change their cantrips after a long rest? Nope. When you’re preparing your spells after a long rest, you’re preparing things for which you have spell slots. Cantrips don’t use spell slots.
When do you change your list of wizard spells?
You can change your list of prepared spells when you finish a long rest. Preparing a new list of wizard spells requires time spent studying your spellbook and memorizing the incantations and gestures you must make to cast the spell: at least 1 minute per spell level for each spell on your list.
Can a wizard switch out spells during a short rest?
Without a house rule saying otherwise, the answer is no. The rules as written specify that you can only change your list of prepared spells when you finish a long rest. Nothing is mentioned about being able to switch out even a small number of spells during a short rest. Can a wizard ‘switch out’ spells during a short rest?
How long does it take a wizard to change just one?
The other 14 spells (with a combined spell level total of, say, 35) are not changed. That is, he is changing one of his 15 prepared spells; the new spell is a 3rd-level spell. He is not changing any of his other spells. How long does this take?
How does Wizard and cleric spell preparation and…?
Essentially, 5e wizard/cleric spellcasting is sort of a combination of 3.X prepared & spontaneous spellcasting. If you are familiar with them, the spirit shamans from Complete Divine used an extremely similar system in 3.5, so they would be a good point of comparison.