Camera - You will need a camera with at least the ability to adjust the exposure through exposure compensation. A digital SLR or point and shoot with manual controls is best. This will give you, the photographer, full control over your images so that they are consistent. Like snow, fog and sunlight tend to throw off the camera's ability to correctly meter the amount of light in a given scene. By using manual mode, there is no confusion for the camera as to what shutter speed, aperture, and ISO to use for the exposure.
Tripod - This is optional and depends on the amount of ambient light and what you will be shooting. For most landscapes shots during the early morning or evenings, I like to have a tripod to stabilize my shots and use 100 ISO for longer, tack-sharp photos. If the scene is sufficiently bright to be able to handhold the camera, leave the tripod at home, as it will only slow you down.