Lol yea Patrick JMT is a beast! My friend who was taking calc 3 at the time recommended the site to me during my 3rd attempt of college algebra. He does have playlists on his Youtube channel but it's not as organized as his website so I just look through there.
(2016-03-24, 3:47 pm)probablyathrowaway Wrote: Thanks for all the links RawrPk, patrickjmt in particular seems to be a great reference sheet.
Quote:Don't try to do problem sets without understanding the concepts behind it as it the foundation for solving those particular problems
I've used this approach before but it did not give me results (flunked linear algebra twice, third time 's the charm, eh?), but I'll definitely keep it in mind; something you do suggest is keeping track of problems that give you trouble and I see you keep track of errors in your notebook. How has that worked out?
Edit: I do need to get my hands on some of that fine Japanese stationary
3rd time was definitely the charm for me in terms of college algebra. 2nd attempt I was reckless trying to take a 5 week course :/
In terms of concepts, they are imo important because in my experience, it makes the solving process that much faster. I would rather use my time applying the concepts as I'm trying to solve the problem instead of getting stuck.
E.g: Does f(x) =x^3 have an inverse function?
Concepts to think about:
- What is an inverse function? A function that contains the same points as the original function but x and y points are reversed; inverse fxn =(y,x) vs fxn = (x,y)
- How do you determine whether a function is one-to-one? By using the horizontal line test
- What is the horizontal line test? What can be determined by its results? The horizontal line test is a horizontal line drawn across the function. If the horizontal line touches the graph more than once = NOT one-to-one; if it passes only once = one-to-one.
If I know these concepts cold, all I need to do is draw the graph f(x) = x^3 and draw a horizontal line to solve my problem.
As for the notebook, it helped tremendously! I have a habit of doing the same mistakes on similar problems and the notebook has significantly lessened it. It's also a good way to find new ways to solve problems. I tried to find the site I got the idea from but no luck. Instead, I found a site that made an "Error Analysis Sheet
" which essentially stated the same idea of keeping a notebook but with page templates.
As for the notebook, there is a local Japanese import good store in the local mall so I got it from there xD but I have also bought a 10 pack of Campus notebooks from Amazon. My math errors notebook is the generic brand of Campus.
If I were to buy more Campus notebooks, I'd get the pre-dotted lined ones next time (I bought the regular lined notebooks) as they are amazing for math/science
. You can check out the notebooks on JetPens
but they are on sale for cheaper right now on Amazon
Edited: 2016-03-24, 5:13 pm