THE COURSE IS INTENDED TO GO BEYOND THE REQUIREMENTS OF THE ADVANCED PLACEMENT PROGRAM IN MATHEMATICS AS DESIGNED BY THE COLLEGE ENTRANCE EXAMINATION BOARD. THE ADVANCED PLACEMENT PROGRAM CONSISTS OF A 1-YEAR COURSE COMBINING ANALYTIC GEOMETRY AND CALCULUS. PRESUPPOSED HERE ARE--A SEMESTER COURSE IN ANALYTIC GEOMETRY AND A THOROUGH KNOWLEDGE OF ALGEBRA, TRIGONOMETRY, AND ELEMENTARY ANALYSIS. A STUDY OF FUNCTIONS, INCLUDING POLYNOMIAL, POWER, EXPONENTIAL, LOGARITHMIC, CIRCULAR, AND INVERSE CIRCULAR FUNCTIONS, IS DESIRABLE. THE COURSE IS DESIGNED FOR THOSE STUDENTS WHO DESIRE TO MAJOR IN MATHEMATICAL OR SCIENTIFIC FIELDS. STUDENTS SELECTED TO PARTICIPATE SHOULD BE CHARACTERIZED BY HIGH MATHEMATICAL ABILITY, INTEREST, AND EXCELLENT PERFORMANCE. UNITS INCLUDE THE RATE OF CHANGE OF A FUNCTION, DERIVATIVES OF ALGEBRAIC FUNCTIONS, INTEGRATION, TRANSCENDENTAL FUNCTIONS, TECHNIQUES OF INTEGRATION, POLAR COORDINATES, PLANE ANALYTIC GEOMETRY VECTORS AND PARAMETRIC EQUATIONS, AND SOLID GEOMETRY AND VECTORS.