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foolish_m0rtalatomic_goo , this is mostly for you.Anybody find a place for Electrical and Mechanical Engineering, you just let me know...
Transfiguration: Nuclear Engineering
Transfiguration is essentially the art of changing the properties of an object. Transfiguration is a theory-based subject, including topics such as "Switching Spells" (altering only a part of some object, such as giving a human rabbit's ears); Vanishing Spells (causing an object to completely disappear) and Conjuring Spells (creating objects out of thin air). It is possible to change inanimate objects into animate ones and vice versa — McGonagall transfigures her desk into a pig and back in Philosopher's Stone.
Defence Against the Dark Arts: Computer Engineering
Defence Against the Dark Arts, commonly shortened to D.A.D.A., is the class that teaches students defensive techniques in order to defend themselves from the Dark Arts, and to be protected from Dark creatures.
The subject has an extraordinarily high turnover of staff members — throughout the series no Defence Against the Dark Arts teacher has remained at Hogwarts for more than one school year. It is suggested by Hagrid in Harry Potter and the Chamber of Secrets that "They're startin' ter think the job's jinxed. No one's lasted long for a while now." In Half-Blood Prince, Dumbledore suggests that Voldemort cursed the position because his application for it was rejected.
Charms: Technical Elective
Charms is the class that teaches how to develop incantations for the uses of bewitchment. Rowling has described Charms as a type of magic spell concerned with giving an object new and unexpected properties. Charms classes are described as notoriously noisy and chaotic, as the lessons are largely practical. Many of the exposition sequences in the books are set in Charms classes, which are on the second floor of Mech.
Potions: Chemical Engineering
Potions is described as the art of creating mixtures with magical effects. It requires the correct mixing and stirring of ingredients at the right times and temperatures. As to the question of whether a Muggle could brew a potion, given the correct magical ingredients, Rowling has said, "Potions seems, on the face of it, to be the most Muggle-friendly subject. But there does come a point in which you need to do more than stir.” Snape's lessons are depicted as unhappy, oppressing times set in a gloomy dungeon in the basement of the castle, whilst Slughorn's, who replaces Snape as Potions Master, is shown as more cheerful and even fun at times.
Astronomy: Astrophysics
Astronomy is the only field of study in Engineering that has a direct equivalent in the Arts & Sciences world. Astronomy classes take place in Observatory Hill, the tallest tower in Engineering, and are taught by Professor Aurora Sinistra. Lessons involve observations of the night skies with telescopes. No Astronomy lesson, or even a fragment of one, is ever depicted in the books or movies. However, Rowling does describe one of Harry's Astronomy exams in Harry Potter and the Order of the Phoenix. Known student homework activities include learning the names of stars, constellations and planets, as well as their location and movements, and describing the environments of planets and moons.
History of Magic: Science, Technology, and Society (STS)
History of Magic is the study of magical history. Cuthbert Binns' lessons are depicted as some of the most boring in Engineering. They only ever take the form of lectures, given without pause, about significant events in wizarding history. Topics have included goblin rebellions, giant wars, and the origins of wizarding secrecy. This is the only class in Engineering that is taught by a ghost.
Herbology: Biomedical Engineering
Herbology is the study of magical plants and how to take care of, utilise and combat them. There are at least three greenhouses described in the books, holding a variety of magical plants of varying degrees of lethality.
Arithmancy: Applied Mathematics (APMA)
Arithmancy is a branch of magic concerned with the magical properties of numbers. As neither Harry nor Ron takes this class, almost nothing is known about it. It is, however, a favourite subject of Hermione. Arithmancy is reportedly very difficult, as it requires memorizing or working with large number charts.
Ancient Runes: Computer Science
Ancient Runes is a generally theoretical subject that studies the ancient runic scripts. It is studied by Hermione but not by Harry or Ron, so little else is known about this subject.
Divination: Systems Engineering
Divination is the art of predicting the future. Various methods are described, including tea leaves, fire omens, crystal balls, palmistry, cartomancy (including the reading of conventional playing cards and the tarot), astrology, and dream interpretations. Divination is described by Professor McGonagall as "one of the most imprecise branches of engineering".[PA Ch.6] Supporters of the subject claim that it is an inexact science that requires innate gifts like the "Inner Eye". Those opposed claim that the subject is irrelevant and fraudulent.
Care of Magical Creatures: Laboratory
Care of Magical Creatures is the class which instructs students on how to care for magical beasts. Classes are held outside the castle. Although Rubeus Hagrid is very experienced and knowledgeable, he also consistly misjudges the level of risk that the animals he uses in his lessons pose to his students, which sometimes results in chaos.
Muggle Studies: Humanities credit
Muggle Studies involves the study of the Muggle (non-magical) culture "from an engineering point of view." The only need for engineers to learn about Muggle ways and means, is to ensure they are able to blend in with normal people while needing to do so (e.g. at the 1994 Quidditch World Cup).
In the opening chapter of the final book, Voldemort murders Professor Charity Burbage because she portrays Muggles in a positive light and is opposed to limiting engineering to only people of pure-blood origins. For the remainder of the academic year covered by Deathly Hallows, the Death Eater Alecto Carrow teaches Muggle Studies. However, her "lessons" (which are made compulsory) mainly describe Muggles and Muggle-borns as subhuman and worthy of persecution.
Flying: Aerospace
Flying is the class that teaches the use of aeroplanes made for the use of flying and is taught only to UVa engineers. The subject is the only one that requires physicality. The class is taught by Madam Hooch.
Apparition: University (Bus) Transit Service (UTS)
Apparition, is the magical form of teleportation. Performing Apparition requires a driver’s licence and may only be legally performed by people within the UTS system. The described reason for the restriction is that Apparition is dangerous if done improperly: body parts can be left behind in an unfortunate side-effect known as "jaywalking."
