Coumadin is given as a pill, takes a day or more before it affects clotting and has a longer half-life; heparin must be given IV and has an immediate effect which wears off within a couple of hours. Both can cause hemorrhage and have low TI's, but since the effect of coumadin is delayed, can be altered by diet (deep green vegetables can lessen its effectiveness) and is often taken long-term at home, ongoing monitoring of clotting times is needed