a rudimentary outline of the study of aengineering. an extreme work in progress 𝆕

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.
a dedicated aegineer will study the ways of differential forms throughout their whole mathemagick career, which requires linear algebra to be understood first, then the differentials in higher dimensions can be approached. literature on this is sparce- only the most brazen aegineer can currently sail through the choppy waters. luckily.. i'm writing literature on it, so don't worry LOL

O.A - hypercalc
O.B - linear algebra
O.C - drafting, GDT, graphical communication, CAD
(there's probably other ones I could put in here but let's be real, no one is replacing their entire college education with my books when I write them, so we're gonna assume you at least did some of the prereqs LOL in reality you only really need chem for thermo and materials and they reteach it anyway..)

I

I.A - motion i
I.B - materials
I.C - equations of change
I.D - creation / manufacturing

II

II.A - motion ii
II.D - electricity & magnetism (sans circuitry, all physics. at multivar level)

III

III.A - continuum mechanics
III.D - mathematical modeling and analysis

IV

we hold slots V and VI free for the current time, as to cover your specification.