Ancient Runes 

 a class taught by Professor Batusheda Babbling in an unknown classroom. Students study the letters of an ancient alphabet that have secret or magic meanings. The textbooks include Ancient Runes Made Easy, Advanced Rune Translations, Advanced Rune Translation and various rune dictionaries. The OWL has a theory part to the test that involves translating something written in runes into English

[for sixth-year students] - a twelve-week course taught by a Ministry of Magic instructor for students turning 17 years old in the next year; the cost was 12 Galleons

Arithmancy

Professor Septima Vector taught Arithmancy, which is a study of the magical properties of numbers (in Muggle terms, this is also called numerology). The textbook is Numerology and Gramatica. For homework, students fill out complicated charts. The OWL has a theory part to the test

Professor Aurora Sinistra taught Astronomy. Harry's class was taught at midnight in the highest tower at Hogwarts. Students study the night sky to chart the stars, moons, and planets. For homework, students make models of the planets, moons, and stars. The OWL has a theory and a practical part to the test

Professor Rubeus Hagrid taught this class on the Hogwarts grounds or in the Forbidden Forest. The textbooks are Fantastic Beasts and Where to Find Them and The Monster Book of Monsters. Students learn about magical creatures. The OWL has a theory and a practical part to the test. No student in Harry's sixth-year class wanted to continue taking this class

 Professor Filius Flitwick taught this class in a third-floor classroom. Students learn spells and charms, many of which are difficult to master so they often have to practice the charms for homework. The textbooks are the Standard Book of Spells (Grade 1), Standard Book of Spells, Grade 2, Standard Book of Spells, Grade Three, Standard Book of Spells, Grade 4, and the Standard Book of Spells, Grade 5, The Standard Book of Spells, Grade 6. The sixth-year NEWT students also had to read Quintessence: A Quest. The OWL has a theory and a practical part to the test. Sixth-year students begin to learn nonverbal spells

This class has been taught by a different professor each year; the first was Professor Quirinus Quirrell, the second was Professor Gilderoy Lockhart, the third was Professor Remus J. Lupin, the fourth was Professor Alastor Moody (aka Bartemius Crouch Jr.), the fifth was Professor Dolores Jane Umbridge, and the sixth was Professor Severus Snape. This class is in a first-floor classroom; according to Gilderoy Lockhart, the aim of the class is "to arm you against the foulest creatures known to wizardkind." The textbooks were The Dark Forces: A Guide to Self-Protection, all the Lockhart books, Wilbert Slinkhard's Defensive Magical Theory, and Confronting the Faceless. The OWL has a theory and a practical part to the test. Sixth-year students need to learn nonverbal spells

This class is now taught by two teachers: the centaur Firenze and Professor Sybill Trelawney; Firenze teaches in a ground-floor classroom that has been magically transformed to look like the outside, while Trelawney teaches in the North Tower on the seventh floor. The textbooks are Unfogging the Future and The Dream Oracle. Students learn how to predict the future by many different methods. The OWL has a theory and a practical part to the test

[for first-year students] - Madam Rolanda Hooch teaches students how to fly properly; this class is taught on the grounds at Hogwarts. There is no mention of any tests

Professor Pomona Sprout teaches students about magical plants, their properties, and how to care for them. This class is taught in the greenhouses behind Hogwarts. The textbook is One Thousand Magical Herbs and Fungi and Flesh-Eating Trees of the World. The OWL has a theory and a practical part to the test

Professor Cuthbert Binns, the only ghost teacher, teaches students about the history of witches, wizards, magical creatures, and events in the magical world. This class is taught in a first-floor classroom. The textbook is A History of Magic. For homework, the students often have to write long essays. The OWL has a theory part to the test

This class is taught by an unnamed professor; students study Muggle culture, customs, and habits. This class is taught in a first-floor classroom. The textbook is the Home Life and Social Habits of British Muggles. Presumably the OWL has only a theory part to the test

During Harry's first five years, Professor Severus Snape taught the students; Professor Horace Slughorn taught in Harry's sixth year. The students learn how to create potions. This classroom is in one of the dungeons. The students often write essays on the properties of potion ingredients or what they have done wrong in preparing a potion. The textbooks are Magical Drafts and Potions, One Thousand Magical Herbs and Fungi, and Advanced Potion-Making by Libatius Borage. The OWL has a theory and a practical part to the test. Sixth-year students need to learn nonverbal spells

Professor Minerva McGonagall teaches students how to transform one object into another. The location of the classroom is unknown. The textbooks are A Beginner's Guide to Transfiguration, Intermediate Transfiguration, and Advanced Transfiguration, A Beginner's Guide to Transfiguration by Emeric Switch, and Guide to Advanced Transfiguration. The students often have a lot of homework and have to practice their transfiguration skills. The OWL has a theory and a practical part to the test. Sixth-year students need to learn nonverbal spells