Computer Graphics is a very broad subjec, i dont have any knowledge about core graphics using Direct X and open GL but If you want to learn animation and stuff here's some programs u might want to try
2D vector animation - Adobe Flash
3D Polygon animation - Autodesk Maya, 3ds max, Cinema 4D
Photo Editing - Photoshop Lightroom
Texture Generation/Sprite Creation (for games and stuff) - Normal Photoshop
Pixel art/Art in general - Photoshop/Corel Paintshop (ask gollum, he is a pro in this)
and stuff like that
if you want to make things from scratch, DirectX and OpenGL courses are available on youtube