What's the class that....?

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Across
  1. 5. Teaches you about our magical ancestors?
  2. 7. Teaches you about animals and how to look after them?
  3. 10. Teaches you another magical form of transportation?
  4. 12. Teaches you about how to read the future?
  5. 13. Teaches you the magical version of mathematics and how to use them to study the universe?
  6. 14. Teaches you about plants and how to use them?
  7. 15. Teaches you spells and incantations?
Down
  1. 1. Teaches you how to protect yourself from evil wizards?
  2. 2. Teaches you about non-magic folk?
  3. 3. Teaches you how to transform objects?
  4. 4. Teaches you about Ancient Runes?
  5. 6. Teaches you about the stars?
  6. 8. Teaches about the transmutation of substances?
  7. 9. Teaches you about how to use a broomstick as transport?
  8. 11. Teaches you about how to brew magic vials of liquid?