the (mostly) quintessential aengineer's grimoire {now with included beastiary!}
O
it is assumed that you have spent roughly your first year as a mage becoming familiar with the art of incantation- mathemagicks most important, up to linear algebra & elementary differential equations. you'll take a primer spellcasting course on applied differential equations in this study, and learn more through exploration (as any good caster). it is also necessary to understand the fundamentals of chemistry.
I
I.A - statics (includes fluid statics + allusions of dynamics)
I.B - materials
I.C - drafting, GDT, graphical communication
I.D - creation / manufacturing
II
II.A - dynamics (includes rotational dynamics)
II.B - solid mechanics
II.C - CAD
II.D - electricity & magnetism (sans circuitry, all physics. at multivar level)
III
III.A - fluid dynamics (sister class with thermo)
III.B - wielding solid mechanics
III.C - thermodynamics
III.D - mathematical modeling and analysis
IV
IV.A - system dynamics
IV.B - vibration + system affects
IV.C - heat transfer
IV.D - circuitry
we hold slots V and VI free for the current time, as to cover your specification.