"Is this mother?"
мама=мати. "мама" use in informal cases and "мати" use in literature. Maybe like mom and mother?
"і" is like "ee" in English or "i" in Spanish. "и" doesn't really exist in either language. It is a closed central vowel, like "і" but with the tongue farther back in the mouth.
I like how the course accepts the Latin alphabet. I have the Ukrainian keyboard but I don't know where the letters are all placed.
Here is a picture of the Microsoft Ukrainian keyboard layout: http://www.microsoft.com/resources/msdn/goglobal/keyboards/kbdur.html Hover your mouse over the shift key to see more and the AltGr key for another.
Here is a Ukrainian keyboard layout in Windows Vista for people over there: http://en.wikipedia.org/wiki/Keyboard_layout#/media/File:Keyboard_layout_ua_vista_ext.png
The Latin alphabet doesn't have a single equivalent character for the "Ц" sound. You'd have to type "ts".
EDIT: If you mean where is it on the keyboard, it should be on W.