WE WILL DEVELOP AND APPLY TO DOPPLER SEISMIC OBSERVATIONS FROM THE SOLAR DYNAMICS OBSERVATORY A NEW ALGORITHM FORCOMPUTING HELIOSEISMIC MAPS OF THE SUN'S FAR HEMISPHERE. THE NEW ALGORITHM TAKES ADVANTAGE OF MULTIPLE "OPTICAL VANTAGES" OF THE SOLAR ACOUSTIC FIELD TO PRODUCE MAPS THAT HAVE 2--4 TIMES THE SENSITIVITY OF THOSE CURRENTLY DISTRIBUTED BY JOINT SCIENCE OPERATIONS CENTER (JSOC) FOR THE SDO PROJECT. GIVEN THE DEMOGRAPHICS OF ACTIVE REGIONS WITH A RAPIDLY INCREASING POPULATION WITH DECREASINGMAGNETIC FLUX THIS WILL CONSIDERABLY INCREASE THE NUMBER OF ACTIVE REGIONS RELIABLY IDENTIFIABLE IN MAPS OF THE SUN'S FAR HEMISPHERE AND GIVE US A MORE ACCURATE ASSESSMENT OF PARAMETERS SUCH AS TEMPORAL RESOLUTION AND GROWTH RATE. THESE IMPROVEMENTS OFFER MAJOR BENEFITS TO A RAPIDLY GROWING ARRAY OF APPLICATIONS OF FAR-SIDE HELIOSEISMOLOGY IN DIVERSE AREAS OF RESEARCH SUCH AS UV-IRRADIANCE FLARE POTENTIALITY THE CORONAL MAGNETIC CONFIGURATION AND SPACE WEATHER IN THE NEAR-EARTH NEIGHBORHOOD. THE PROJECT IS THUS HIGHLYAND DIRECTLY RELEVANT TO KEY SCIENCE GOAL 1 OF THE 2012 DECADAL SURVEY: "DETERMINE THE ORIGIN OF THE SUN'S ACTIVITY AND PREDICT THE VARIATIONS IN THE SPACE ENVIRONMENT."