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CHAPTER Ⅰ．REVISION 1

CHAPTER Ⅱ．LIMITS；CONVERGENCY AND DIVERGENCY OF SERIES；EXPONENTIAL AND HYBERBOLIC FUNCTIONS；COMPLEX NUMBERS 13

CHAPTER Ⅲ．PARTIAL FRACTIONS，AND SUMMATION OF SERIES 69

CHAPTER Ⅳ．DIFFERENTIATION 88

CHAPTER Ⅴ．INTEGRATION 123

CHAPTER Ⅵ．EXPANSION OF FUNCTIONS IN POWER SERIES；MAXIMA，MINIMA，AND POINTS OF INFLEXION 165

CHAPTER Ⅶ．TANGENTS，NORMALS，CURVATURE，PARTIAL DIFFERENTIATION，ETC 185

CHAPTER Ⅷ．DETERMINANTS 224

CHAPTER Ⅸ．PLANE CO-ORDINATE GEOMETRY--THE STRAIGHT LINE，CIRCLE，AND PARABOLA 243

CHAPTER Ⅹ．CONIC SECTIONS--THE ELLIPSE AND HYPERBOLA 286

CHAPTER Ⅺ．THE POLAR AND GENERAL EQUATION OF A CONIC 328

CHAPTER Ⅻ．CO-ORDINATE GEOMETRY IN THREE DIMENSIONS--THE PLANE AND THE STRAIGHT LINE 349

CHAPTER ⅩⅢ．THE GENERAL CONICOID--SPHERE，CONE，ETC 386

CHAPTER ⅩⅣ．AREA UNDER A CURVE，VOLUME OF REVOLUTION，ETC 419

CHAPTER ⅩⅤ．FIRST-ORDER DIFFERENTIAL EQUATIONS 442

CHAPTER ⅩⅥ．SECOND-ORDER AND PARTIAL DIFFERENTIAL EQUATIONS 464

CHAPTER ⅩⅦ．SPHERICAL TRIGONOMETRY 508

CHAPTER ⅩⅧ．MOMENTS OF INERTIA AND DAMPED SIMPLE HARMONIC MOTION 533

ANSWERS TO EXAMPLES 557

INDEX 579