If you recall, Anakin could throw many objects as a padawan learner in episode II. In fact, I'd venture as far to say that he threw many more at once when he was a padawan. Then also his connection to the force was sufficient to jump hundred of feet onto a moving speeder during a high speed chase in the middle of busy Coruscant traffic. Just as Yoda claimed size matters not, I would imagine that distance matters just as much when performing tricks, such as chocking or telepathy. He was on a line of sight with admiral Ozzle, and that was obviously enough for probably any force user. I hardly think Dooku was a second rate villain. If anything, Grievous was second rate. Dooku trumps Grievous, and Grievous was quite a successful jedi killer. There isn't much proof that Palpatine ever taught Vader anything. You'll recall that Vader never needed instruction from Palpatine to learn how to perform a force choke. For that matter, neither did Luke. A lot of these dark side techniques obviously came to the user naturally. Palpatine told Vader to exterminate the jedi, and then he'd be powerful enough to save his Padme. So basically the only thing we know that Palpatine taught Anakin was that committing atrocities will give him the power he needed.