Veigar is the strongest single shot mage in the game, easily topping 2 thousand damage with just two spells. He can easily kill almost any champion in very little time without much reaction from them.
Q: Veigar fires a ball of energy dealing medium damage.
Don't let Veigar farm. Be aggressive and have wards around to prevent the jungler, or any other ganks get you while you harass him. Remember, Veigar is very squishy.
W: Veigar, after a delay, makes a large meteor of darkness crash into the ground dealing huge damage.
This... isn't very hard to dodge. It's the stun that gets people. Read the spell below.
E: Veigar creates a gate, that stuns you when you try to walk through it.
This is what kills people, when Veigar gets them inside, they try to get out, resulting in Veigar unloading and making them explode. While you are inside, just run around inside until the spell wears out. This will allow you to dodge his W and hopefully get away.
R: Veigar fires a blast of energy that basically makes you blow the f*ck up.
Be aware when he uses his ult, and take note when it will be up again. Without his ult, it's much more difficult to kill others. His ult usually has a cool down of around 1 minute, so be wary and keep your distance.
As a Veigar player, and how people usually say, "Wait... what just happened?" "Wth Veigar? What is your ap? 9000?" I bet for lower players he is a big pain.