Chromatic Exercises for Beginners
Here is one example of a chromatic exercise I use for students just starting out. There are many variations on this, but this example is very straight forward. Using only the 1st, 2nd, and 3rd finger, play the 1st, 2nd, and 3rd fret on each string, then continue and play the same thing on the next string and the next, until you reach the high E. After that, you backtrack, working your way back to the low E string. When this sequence is complete, move your entire hand up, and start the same sequence again, only this time one fret higher.