The report's brief introduction describes the application of T-4G methodology to the T-37 instrument phase of undergraduate pilot training. The methodology is characterized by instruction in trainers, proficiency advancement, a highly structured syllabus, the training manager concept, early exposure to instrument training, and hands-on training. The introduction also describes the results of a test of the methodology, in which one particular flight training class required an average of 42 percent fewer flying hours (8.8 aircraft hours) than are included in the regular T-37 instrument syllabus. The bulk of the report consists of an appendix whose first part consists of discussions of problems associated with the T-4G Methodology T-37 Syllabus, instructor pilot reactions to the syllabus, results of the application of the syllabus, grade adjustment information for the test population, and recommendations. The bulk of the appendix (60 pages) consists of the syllabus which includes special instructions, task objectives, and performance criteria for the following areas of T-37 flight training: flying training; contact training; instrument trainer training (including basic instruction, basic maneuvers, radio navigation, radar, and mission profile); instrument flight training; navigation training; and formation training. An additional appendix presents a flow chart of the regular against the test syllabi. (JR)