Step 2: How to solve the white corners in the first layer
Finishing the first layer of the Rubik's Cube is not a big deal. Just like in the previous step, the white corners can be easily completed by an average people intuitively after a short familiarization with the cube.
The second step of the beginner's Rubik's Cube tutorial doesn't require long algorithms. You just have to apply some short permutations which you don't even have to memorize.
Some example tricks
Some short example situations you might be facing while solving your Rubik's Cube when you want to move a white corner piece to the top layer.
According to the orientation there are three cases:
When the white corner piece is in the white layer just in a wrong spot or oriented bad you need to take it out to the bottom layer and do one of the previous moves.
Using only one algorithm: R' D' R D
There's an algorithm which works all the time in every cases. The bad thing is that it's longer than the optimal moves.
If you have already read this tutorial then if might be familiar from the last step when we're completing the yellow layer corners.
Let's say we want to bring a white corner piece to the front-right-up position. The idea is to move the corresponding corner piece below this spot, move the corner piece in question to the front-right-down spot and do the R' D' R D algorighm until the cubelet will fit in the white layer.
Depending of the initial orientation you'll have to perform this permutation...