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Coffin D. Ч Algebra and Pre-Calculus on the HP 48G/GX
Coffin D. Ч Algebra and Pre-Calculus on the HP 48G/GX



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Ќазвание: Algebra and Pre-Calculus on the HP 48G/GX

јвтор: Coffin D.

язык: en

–убрика: ћатематика/„исленные методы/„исленный анализ/

—татус предметного указател€: √отов указатель с номерами страниц

ed2k: ed2k stats

√од издани€: 1995

 оличество страниц: 334

ƒобавлена в каталог: 20.02.2005

ќперации: ѕоложить на полку | —копировать ссылку дл€ форума | —копировать ID
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ѕредметный указатель
$\pm$ term in algebraics      17
Absolute value      173 180
ADD function      13
Affine transformations      228
Amplitude of a trigonometric function      41Ч43
Analytic geometry      172Ч241
Angle key (polar entry)      59
Angle mode and parametric plotting      69
Angle mode, effect on polar entry      59
Angle of rotation      212 221Ч222 224Ч225 228 231 233 237 271
Angle, determined by a cone with its base      243
Angle, determined by intersecting lines      179 202
Angle, determined by intersecting planes      179 206
Angle, inscribed      251
Angle, orientation      255 258Ч259 261
Angle, polar      94
Angles of triangle      29Ч30 44
Angles, general      50
Angles, HMS format      30 51 54
Angles, principal      32 50
Angles, supplements of      47 202 206
Angles, units of measure      30Ч31
Angles, vertical      251
Arc, intercepted      251
Arc, length      33 94Ч95
Area of a triangle      45 51 178 198
Area of circular sector      33
Arithmetic with matrices      139Ч143
Arithmetic with polynomials      109Ч114
Arithmetic with symbolic matrices      158
Arithmetic with vectors      174Ч175
Arrays of points      213Ч214 216 218Ч241
Arrays, symbolic      143
Arrays, transformations with      212
Arrays, vectors      173
Astroid      90
Asymptotes      18Ч19 62 68 79Ч82 96 99 263
Augmented matrices      145Ч146 148Ч152 157Ч159
Autoscaling a plot      39
Axis of rotation      212 221Ч225
Axis, parabolic      260
Axonometric projections      228 234
Bisection approximation method      123
Cardioid      87
Cardioids      65
Cassinian curves      76Ч78
Center of projection      228
Centering plot on cursor position      107
Centroid of a triangle      178 190Ч191
Check-mark      18
Checksum of a program      275
chords      251
circle      243 247 250Ч255 267 269 273
Circle and cycloidal curves      84
Circle and radians      30
Circle arc      30
Circle center      250 252 254 268 273
Circle radius      29 84 250 252 254 268
Circle unit      29
Circle, cissoid of      82
Circle, conchoid of      82
Cissoid of Diodes      79
Cissoids      79Ч83
Coefficients of functions      41Ч43
Coefficients of general equation of a conic      248 250 254 260 262Ч267 269 271Ч273
Coefficients of general equation of a plane      187Ч188 196 203 205 207
Cofactor      153Ч154 158
Cofactor matrix      153Ч155 159
COLCT command      14 109
Collecting like terms      36 109
Collinear lines      179 197
Collinear points      178Ч179 186 196
Complex Conjugates Theorem      118
complex numbers      60
Complex numbers and coordinate points      60 250
Complex numbers and parametric functions      66 72 72Ч75
Complex numbers and the Solver      125
Complex numbers, algebraic vs. coordinate forms      66
Complex numbers, conjugates of      118
Complex numbers, polar representation      60
Complex roots      125Ч126 129Ч131
Compositions of functions      22Ч23
Conchoid of Nicomedes      79 81
Conchoids      79Ч83
Condition number of a matrix      136Ч138
Conic plot type      244Ч245
Conic sections      242Ч273
Conic sections, plotting      244Ч249 256 271Ч273
Conic sections, translating and rotating      271 -273
CONNECT mode      18Ч19 62
ConstantsЧsymbolic      24
Constraints (linear program)      162Ч166 168 170Ч171
Converting decimals to fractions      40
Converting one linear equation form to another      193Ч195
Converting one-variable function to polynomial      133
Coordinate system      220
Coordinates of graphics cursor      16
Coordinates, display of      58Ч59
Coordinates, homogeneous      213
Coplanar      201 209 250
Cosecant      29
Cosine      29
Cotangent      29
Cramer's rule      144 150Ч152 159
Cross product      174Ч175 187Ч188 190 196Ч198 203 205 208 211
Curtate curves      84Ч85 88 91Ч93
Curves, Cassinian      76Ч78
Curves, cissoids and conchoids      79Ч83
Curves, cycloidal      84Ч93
Curves, spirals      94Ч97
Cycloid      84
Cycloidal curves      84Ч93
Defining procedure in user-defined functions      24
DEGREES      30Ч31 51
Deltoid      90
Depressed polynomial      121
derivatives      104Ч107
Descartes' Rule of Signs      119Ч121 124Ч125
Determinant      142 144 150Ч155 158
Diagonal elements of a matrix      143 214
Dimensions of a matrix      139Ч141
Dimetric projection      212 228 231Ч232
Direction angles of a vector      176Ч177
Direction vectors of lines      185 192 196Ч197 202 205 209Ч210 225
Directory      27 275
Directrix      243 257 259 263
Discontinuities      18
Discriminant of a quadratic      13
Display range      26 31 39Ч40 61 247
Distance between center and focus      261
Distance between focus and vertex      259
Distance between parallel lines      179 201
Distance between two points      178 180
Distance from a point to a line      178Ч179 189 198Ч199
Distance from a point to a plane      179 207
Division of matrices      143
Division of polynomials      112Ч113
Division, synthetic      115Ч124
Domain of a function      11
Dot product      140 174Ч175 187Ч188 202 208Ч211
Eccentricity      243 255 257 259 261 263Ч264
ellipse      243 246 255Ч258 269 271
Ellipse, angle of orientation      255Ч256 258
Ellipse, center of      255Ч256 258
Ellipse, directrixes      257Ч258
Ellipse, eccentricity      255Ч258
Ellipse, foci      255 257Ч258
Ellipse, semimajor      255Ч258
Ellipse, semiminor      255Ч256 258
Ellipse, vertices      257Ч258
Epicycloid      69 84 86Ч87
Epitrochoid      88Ч89
EQ variable      124
Equation of a circle      250 252Ч253 268Ч269
Equation of a hyperbola      261Ч264
Equation of a line, array form      189 193Ч195 199Ч201
Equation of a line, determined by three points      178
Equation of a line, determined by two points      178 182
Equation of a line, general form      178 189 193Ч195 199Ч201
Equation of a line, intersection of two planes      179
Equation of a line, parametric form      178 183 185 192Ч201 203 205Ч206 210Ч211 225
Equation of a line, perpendicular to a line      197
Equation of a line, perpendicular to two other lines      179 188
Equation of a line, position-direction (PD) form      193Ч195 197Ч199 201 203 209Ч211 225
Equation of a line, slope-intercept form      178 182 192Ч195 265
Equation of a parabola      259Ч260
Equation of a plane, determined by a point and a line      179 196
Equation of a plane, determined by a point and plane      179 208
Equation of a plane, determined by its normal and a point      179
Equation of a plane, determined by its traces      179 204
Equation of a plane, determined by three points      178 187Ч188
Equation of a plane, determined by two noncollinear lines      179 203
Equation of a plane, general form      187 205 207
Equation of a plane, vector form      206 211
Equation of an ellipse      255 258
Equation of general conic      243 248 250 259
Equation of the normal to a plane      179
Equations, consistent vs. inconsistent      135
Equations, degenerate      135
Equations, independent      135 137
EquationWriter      36
Equiangular spiral      95
Euclidean norm      160
EXPAN command      14
Expansion of a polynomial      114
Exponential functions      20Ч21
Extracting rows or columns of a matrix      159
extrema      104Ч105
Eyepoint      228 234 236 238Ч241
Factor of a synthetic division      115Ч118 120Ч123
Factor Theorem      118
Flags, controlling principal vs. general values (-1)      50
Flags, controlling symbolic constants (-2)      24
Flags, controlling symbolic results (-3)      24 36 40
Focus      243 255 257 259 263
Folium of Descartes      62 66 80
Foreshortening of axes      228 231Ч233
Fractions      40 143 154Ч155 200 211 253
Function plot type      136 245
Functions and geometric transformations      212
Functions, complex-valued      72
Functions, composites of      22Ч23
Functions, exponential      20Ч21
Functions, finding range of      11
Functions, implicit      244Ч245
Functions, inverse      20 23 50
Functions, linear      9Ч11
Functions, logarithmic      20Ч21
Functions, non-periodic      94
Functions, objective      162
Functions, parametric      57Ч58
Functions, periodic      29 48
Functions, plotting      9
Functions, polar form      61
Functions, polynomials      101
Functions, quadratic      12Ч18
Functions, rational      18Ч19
Functions, solving graphically      15
Functions, solving numerically      17
Functions, solving symbolically      17
Functions, tracing      16
Functions, trigonometric      29
functions, user-defined      24Ч27
Fundamental theorem of algebra      118
Gauss-Jordan reduction      145
Gaussian elimination      144Ч149
General value of angles      50
Geometric objects      213
Gridmap plot type      74
Guesses when solving an equation      17 125
hemisphere      212
Heron's formula      45
HMS angle format      30 51 54
Homogeneous coordinate representation      213
Horizontal shift of a trigonometric function      41Ч43
Hyperbola      243 248 261Ч264 270 272
Hyperbola, angle of orientation      261Ч262 264
Hyperbola, asymptotes      263Ч264
Hyperbola, b parameter      261 -262 264
Hyperbola, center      261Ч262 264
Hyperbola, directrixes      263Ч264
Hyperbola, distance between center and foci      261
Hyperbola, eccentricity      261
Hyperbola, foci      261 263Ч264
Hyperbola, semimajor      262
Hyperbola, vertices      261 264
Hyperbolic spiral      94
Hypocycloid      84 89Ч90
Hypotrochoid      91Ч93
identities      48
Identities, double-angle      34
Identities, half-angle      35
Identities, Pythagorean      34
Identities, sum and difference      34
Identities, sum and product      35 40
Identities, verifying      34Ч40
Identity matrix      143 145 149 214 234
Inequalities      161
Inflection point      107
Inner product      140 174
Inscribed angle      251
Inserting rows or columns into a matrix      159
Intercept of a line      182 184 188 192Ч193 268
Intersection of chords      251
Intersection of line and a plane      210 211
Intersection of lines and conies      265Ч273
Intersection of perpendicular bisectors of chords      252
Intersection of secants      251
Intersection of two lines      179 200 202
Intersection of two planes      179 204 206
Intersection point      179 198 210Ч211
Intersection, plane and a right circular cone      243
Intersection, true vs apparent      65
Inverse functions      20 23
Inverse functions, trigonometric      48 50
Inverse of a matrix      142Ч144 149 153Ч156 159
ISOL command      14 23 48 50
Isolating a variable      14 48
Isometric projections      212 228 233
Law of Cosines      44Ч45
Law of Sines      44Ч45 52
Least common multiple      132
Least-squares solution      160
Lemniscate of Bernoulli      76 78
Limacons      82
Line segment      173
Line segment, dividing into a given ratio      178 181
Line segment, length      190
Line segment, midpoint of      178 181 184Ч185
Line segment, perpendicular bisector of      178 184Ч185 227 252
Line, equation of      178 182Ч183 185 188Ч189 192Ч195
Line, intersection of two planes      179 205
Line, parallel to it through a given point      179
Line, perpendicular through a given point      178Ч179 197
Line, vertical      270
Linear equations      134
Linear equations as a matrix equation      153
Linear equations, solving      145Ч156 205
Linear equations, symbolic solutions      157Ч159
Linear inequalities      161Ч171
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