An often asked question is: "What's the difference between architecture and architectural engineering?"
Typically, architects are responsible for designing the aesthetics of a building, and for making sure that the overall objectives of the client relating to the end use of the building are met. Architectural engineers are responsible for designing the details of the building systems - structural, HVAC, plumbing, fire protection, and electrical - using the principles of engineering science, mathematics and physics.
If your primary interest in building design is the underlying engineering principles required to produce functional building systems, then architectural engineering may be for you!
However, if your primary interest in building design is aesthetic or artistic, you may be well suited to the study of architecture.