Wizards are supreme magic-users, defined and united as a class by the spells they cast. Drawing on the subtle weave of magic that permeates the cosmos, wizards cast spells of explosive fire, arcing lightning, subtle deception, and brute-force mind control. Their magic conjures monsters from other planes of existence, glimpses the future, or turns slain foes into zombies. Their mightiest spells change one substance into another, call meteors down from the sky, or open portals to other worlds. Wizards live and die by their spells. Everything else is secondary. They learn new spells as they experiment and grow in experience. They can also learn them from other wizards, from ancient tomes or inscriptions, and from ancient creatures (such as the fey) that are steeped in magic.
At 1st level, you have a spellbook containing six 1st-level wizard spells of your choice. The Wizard table shows how many spell slots you have to cast your spells of 1st level and higher. To cast one of these spells, you must expend a slot of the spell’s level or higher. You regain all expended spell slots when you finish a long rest. You prepare the list of wizard spells that are available for you to cast. To do so, choose a number of wizard spells from your spellbook equal to your Intelligence modifier + your wizard level (minimum of one spell). The spells must be of a level for which you have spell slots. 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. Intelligence is your spellcasting ability for your wizard spells, since you learn your spells through dedicated study and memorization. You use your Intelligence whenever a spell refers to your spellcasting ability. In addition, you use your Intelligence modifier when setting the saving throw DC for a wizard spell you cast and when making an attack roll with one.
When you reach 2nd level, you choose an arcane tradition, shaping your practice of magic through one of eight schools: Abjuration, Conjuration, Divination, Enchantment, Evocation, Illusion, Necromancy, Transmutation, or War Magic [Xan].