[Durgasoft]

Obtain Terrence Tao's Analysis I book and start from scratch, there's an ongoing workshop for this https://learnaifromscratch.github.io/math.html

However you should probably ask professors at your school what you should be doing in your free time, since they are the one's who will be determining said significant incentive so probably have a better idea what you should be doing than any of us.