What is the difference between the exercise prescription for building muscular endurance and muscle strength?

Overlap: Endurance is generally built with many repititions of an exercise using light or no weights. Stregth is generally built using more weight and fewer repititions. There is a great deal of overlap in this; even when you emphasize building strength you will build some endurance, and even when you emphasize building endurance you will get stronger. The important thing is you're exercising.

Training: Endurance training will usually involve doing cardiovascular training such as running, biking, swimming. Muscle strength training usually uses resistance training or weight based exercise. That said you can do resistance training in a cardiovascular way and vice versa.

Str vs Endur: Strength is looking for maximum output over a short period of time. An example of this would be powerlifting. Endurance would be training for long periods of time usually at a reduced rate. This would be a distance runner. Usually it is best to cross train, or train for both as in doing so you can develop both types of muscle fibers, fast twitch (strength) and slow twitch (endurance).