You calculus based physics book probably has a section on Modern Physics which will include material on QM which should be on your level. And you CAN determine your level of math, since you are reading a calculus text, then you are learning calculus, that's your level of math.
You still have not stated what your goal is in learning QM. Do you want to learn it at the level of a physics major? do you want to learn it at conversational level? professional level?
Again, I could just spout off "GRIFFITHS!" which is the default recommendation fi you want to learn it at the level of physics major.
Heres some ideas:
QED - Feynman - Conversational Level
Conceptual Physics - Hewitt - College Course at the level for non-science majors
College Physics Vol 2 - Serway - College level course, that uses trig and algebra, for non-Physical Science Majors (ie. Bio majors)
Physics for Scientist and Engineer (with Modern Physics) - Anyone - What I mean by "Anyone" I mean any text with this title by Halliday/Resnick, Serway, etc. University Physics (with Modern Physics) by Young and Freedman also works. These texts use calculus, and are the standard introduction to Physics at a freshman level.
If your calc-based physics book does not have a "Modern Physics" section, but you like it anyway, then consider:
Understanding Quantum Mechanics - Morrison or
Modern Physics - Taylor - An entire book dedicated to QM at the freshman/sophomore level, using not much more than Calc and very basic Differential equations.
You can also consider Vol II/III of The Feynman Lectures in Physics which are at the level of the above two books, but approaches learning QM from a different point of view. I think these are more of the "supplemental reading" type rather than "sole reading" material.