With the understanding that you know single variable Calculus and defferential equations, I would prefer two courses:
- http://www.nptel.ac.in/courses/122106034/ by Prof. V. Balakrishnan
- http://www.nptel.ac.in/courses/115104096/ by Prof. Manoj Harbola
Both courses are available in the PF media gallery under category
Quantum.
Prof. Balakrishnan starts directly from the rigors of Quantum, and you are expected to know some amount of classical mechanics.
Prof. Harbola, on the other hand, starts from the beginning of Quantum, that is, how the theory was formulated. Then he goes on to some of the rigors.
You should go through both the courses and see which is suitable for you. I think the one by Prof. Harbola is good for beginners. Once you're done with that, go over to Prof. Balakrishnan's lectures.
In case you like to start directly with the rigors, but at a lesser math level, I've got a great book. If you want, I'll tell the name and how to buy it. But first check these courses.