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1. Mathematics covers the following Topics and Subtopics -
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MATHEMATICS |
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ALGEBRA |
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COMPLEX NUMBERS AND QUADRATIC EQUATIONS |
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COMPLEX NUMBERS |
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DE MOIVRES THEOREM |
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QUADRATIC EQUATIONS |
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PERMUTATIONS AND COMBINATIONS |
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MATHEMATICAL INDUCTION AND BINOMIAL THEOREM |
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BINOMIAL THEOREM |
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SEQUENCE AND SERIES |
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MATRICES AND DETERMINANTS |
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MATRICES |
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DETERMINANTS |
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INVERSE OF MATRIX |
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TRIGONOMETRY |
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TRIGONOMETRIC RATIOS AND IDENTITIES |
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COMPOUND ANGLES |
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MULTIPLE AND SUBMULTIPLE ANGLES |
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TRANSFORMATION FORMULA |
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TRIGONOMETRIC EQUATIONS |
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INVERSE TRIGONOMETRIC (CIRCULAR) FUNCTIONS |
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PROPERTIES OF TRIANGLES |
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APPLICATIONS OF TRIGONOMETRY |
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HEIGHTS AND DISTANCES |
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PERIODICITY, VARIATION AND GRAPHS (TRG. FUNCTIONS) |
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SETS RELATIONS AND FUNCTIONS |
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SETS |
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RELATIONS AND FUNCTIONS |
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FUNCTIONS |
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CALCULUS |
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DIFFERENTIAL CALCULUS |
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LIMITS CONTINUITY AND DIFFERENTIABILITY |
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LIMITS |
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CONTINUITY AND DIFFERENTABILITY |
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CONTINUITY |
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DIFFERENTIABILITY |
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DIFFERENTIATION |
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FUNDAMENTAL RULES FOR DIFFERENTIATION |
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PRODUCT RULE (DIFFERENTIATION) |
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QUOTIENT RULE (DIFFERENTIATION) |
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CHAIN RULE (DIFFERENTIATION) |
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SOME MORE METHODS OF DIFFERENTIATION |
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SUCESSIVE DIFFERENTIATION |
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PARTIAL DIFFERENTIATION |
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APPLICATION OF DERIVATIVES |
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RATE OF CHANGE |
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ERRORS AND APPROXIMATIONS |
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TANGENTS AND NORMALS |
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INCREASING AND DECREASING FUNCTIONS |
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MAXIMA AND MINIMA |
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INTEGRAL CALCULUS |
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INTEGRATION (INDEFINITE INTEGRALS) |
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DEFINITE INTEGRALS |
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AREA OF CURVES |
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SOLIDS OF REVOLUTIONS |
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DIFFERENTIAL EQUATIONS AND APPLICATIONS |
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COORDINATE GEOMETRY AND VECTORS |
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TWO DIMENSIONAL COORDINATE GEOMETTRY |
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CARTESIAN PLANE AND LINES |
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STRAIGHT LINES |
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PAIR OF STRAIGHT LINES |
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CIRCLES |
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CONICS |
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PARABOLA |
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ELLIPSE |
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HYPERBOLA |
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THREE DIMENSIONAL COORDINATE GEOMETRY |
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SPHERE(3D GEOMETRY) |
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VECTORS |
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VECTOR PRODUCT OF VECTORS |
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TRIPLE PRODUCT OF VECTORS |
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STATISTICS AND PROBABILITY |
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STATISTICS |
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COLLECTION OF DATA |
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SAMPLING AND SAMPLE DESIGNS |
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MEASURES OF CENTRAL TENDENCY AND DISPERSON |
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CORRELATION AND REGRESSION ANALYSIS |
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INDEX NUMBERS |
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PROBABILITY AND EXPECTED VALUE |
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PROBABLITY |
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RANDOM VARIABLE AND PROBABLITY DISTRIBUTION |
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EXPECTED VALUE OF RANDOM VARIABLE |
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TOPICS |
SUBTOPICS |
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GENERAL COMPUTER SCIENCE |
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HISTORY OF COMPUTER DEVELOPMENT |
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GENERATION OF COMPUTERS |
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COMPUTER INTRODUCTION |
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TYPES OF COMPUTERS |
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COMPUTER LANGUAGES |
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COMPUTER ARCHITECTURE |
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COMPUTER ARITHMETIC |
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COMPUTER HARDWARE |
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CENTRAL PROCESSING UNIT(CPU) |
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INPUT DEVICES |
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OUTPUT DEVICES |
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COMPUTER MEMORY |
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STORAGE DEVICES |
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COMPUTER SOFTWARE |
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SYSTEM SOFTWARE |
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OPERATING SYSTEMS |
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APPLICATION SOFTWARE |
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DATABASE MANAGEMENT SYSTEMS |
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COMPUTER NETWORK |
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NETWORK DEVICES |
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TYPES OF NETWORKS |
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COMMUNICATION OF NETWORKS |
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INTERNET |
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COMPUTER SECURITY |
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