Shader
Shader (verb to shade) term have several meanings.
1. Program for 3D rendering pipeline which could be written in special shader language (GLSL, HLSL, Cg, ARB etc.). There is vertex shader, pixel shader, geometry shader etc. This is most official meaning.
2. Quake 3 Material. In Id Tech 3, materials are named shaders (this includes many techical papers that describe MD3, Q3BSP etc.). So after q3, sometimes materials they get called as shaders. Since Darkplaces engine's material system using Id Tech 3 material approach as a base, it's materials sometimes called shaders too (also material files extension is .shader).
3. Programmable block for anything that is processed in realtime. There is sound shaders, light shaders, entity shaders etc. Shader is different from script as it runned in realtime.