I wanted to brush up on my math with a goal of shoring up fundamentals and understanding probability and statistics (not just formulaic solving). I was not sure where to start, so I have decided to start by practicing the fundamentals. Addition and so on. Khan Academy has that covered. As of today they have 'practices' that go from basic addition all the way through simple differentiation. Most important, if you run into problems with an exercise set, they have video links to the topic you are practicing. Once you have watched the video and understand the concepts, you can come back to the practice set. (RUPPPL - read understand practice practice practice loop)
You should be able to run through the set without much effort, but I think there is value in doing these simpler exercises. It establishes routine and steeps the mind for greater challenges.
I will likely add some permutation & combination stuff to my 'course work' before I go on to my eventual goal of understanding prob & stats. Getting exercise for these higher level topics will be a challenge.
This is EXACTLY what I'm doing and it seems to be working out great. Finding exercise for the higher level topics is a bit more challenging, but there is a lot out there. The thinkstats book is great if you're a programmer:
Fundamentals are nice, but rote learning of them is directly on the route to formulaic solving. You have to have something to force you to use math like an artist and not like a computer.
Which is to say, I highly suggest doing this stuff as long as you get value out of it. It'll be a boon to your comprehension speed later.
Eventually, however, go find a hard textbook and work through every single line of it. Really. Understand that it'll possibly take years and involve finding many lesser sources to fill in the gaps, but without a hard motivating problem you're going to get stuck in an affective loop on formulaic knowledge. Easy, satisfying, but somewhat flat.
You should be able to run through the set without much effort, but I think there is value in doing these simpler exercises. It establishes routine and steeps the mind for greater challenges.
I will likely add some permutation & combination stuff to my 'course work' before I go on to my eventual goal of understanding prob & stats. Getting exercise for these higher level topics will be a challenge.