Architecture would appear to be appropriate if this field is your priority, and it is architectural engineering.
Ziggurat
Chemistry is mainly for engineering courses & an architecture course would mainly need physics.
Engineering would be the first profession that comes to mind where the definition of the profession is problem solving. Computer science would be another one.
Architecture if you are more of the artistic type, but also somewhat interested in math and physics, which you will need to understand if you are to be an architect. If you are very much into mathematics and physics, but not interested in art and design, then mechanical engineering would be better for you.
The most important roman legacy for architecture would be the dome. And the most important Roman engineering would be the roads.
Engineering is a very complex subject which no one would be able to learn without doing a lot of reading, nor would anyone be able to practice the profession of engineering without writing.
Capilano suspension bridges could be studied in an architecture or engineering school. This North Vancouver bridge would probably be mentioned in Canadian classes on architecture and civil engineering. There is a website and also information on location.
That would be Fluid Mechanics, a prerequisite for which is Thermodynamics.
You would need a bachelor's degree in either Architecture or Interior Design.
To pass engineering classes I would probably suggest to clear your head before you study or discuss the topic with your classmates and get different state of opinions.
I would recommend you look into the engineering field for one.