How to find the moons maximum culmination at a location
Let's suppose, that moon is always located on the ecliptic. Ecliptic ranges from declination $\delta=-23.5°$ to $\delta=23.5°$. That means, that the maximum apparent height of the Moon in Calgary will be $90°-\phi+23.5°=90°-51.04°+23.5°=62.5°$
But moon isn't always located on the ecliptic. Its inclination is around 5.14°. That means, that it can deviate from the ecliptic for such amount. So the maximum height changes to $62.5°+5.14°=67.6°$. But note that this won't happen every month, but rather every year.
This is just a simple geometrical problem. On figure:

Also, the culmination (the highest point) on northern hemisphere always occurs on the south.