I use a combination of Coursera and Udacity to learn the algorithms, and Hacker Rank to find places to implement them.

I actually just cruised through this course and found it super useful. Edit: By cruised I don't mean did it easily but instead just watched the videos, because I was cramming whenever I could fit time in.

https://www.coursera.org/course/algs4partI

It covers Binary Search Trees pretty well and some other things on the list. I also really like this teacher.

https://www.hackerrank.com/domains/algorithms/warmup/difficu...