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| Coffin D. — Calculus on the HP-48G/GX |
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| Ïðåäìåòíûé óêàçàòåëü |
Orientation of plot axes 235
Oscillating behavior 23—24 28 59—60
Parameters of a vector 226
Parametric functions 234
Parametric functions, derivatives of 82—84
Parametric plot type 234
Parametric Surface plot type 234—239
Parametrization 84 235—239 245 256 271 277
Parametrizations 244
Parametrized surfaces 256 277—280
Partial derivatives 240 244 248 252 256
Partial derivatives (2nd order) test 248
Partial fraction expansion 76
Partial fractions 137 181 190—193
Partial sum 9 29
partition size 139
Path integrals 271—274 276—277
Path, current 12 65 68 283
Pattern list (IPATS) 175—180 182 193 260 275
pattern-matching 132—136 173 175—180 192 275
Pattern-matching, adding patterns 137 175—180 193
Period 152
Periodic functions 199
Perpendicular vectors 225
Perspective projection 227—228 234
Phase shift 152
Placeholder names 71—72 74
Plot functions, adding derivative plot 61
Plot functions, rotating expressions within EQ list 61
Plot functions, viewing current expression 61
Plot resolution 108—109 130
Plotting range 234 236
Plotting sequences 14—23
Points of tangency 102
Points, critical 89—93 94—100 247—248
Points, inflection 89 93
Points, intersection 103—111 197 203—206
Points, saddle 248
Points, stationary critical 247—248
Polar angle 84
Polar coordinates 84 237 262—263 266—267 280
Polar functions, derivatives of 82—84
Polar functions, integration with 199—200 262—263 266—267 280
Polynomial approximations 38 53
Polynomials 38 76
Polynomials, arithmetic with 76
Polynomials, coefficients of 38 76
Polynomials, converting from rational fraction 76 191
Polynomials, converting from symbolic expression 76
Polynomials, converting to rational fraction 76
Polynomials, converting to symbolic expression 76 78
Polynomials, degree of 38 190
Polynomials, derivatives of 76—80
Polynomials, Euclidean division of 76
Polynomials, factoring 76 80 190—191
Polynomials, integrating 132
Polynomials, interpolating 145
Polynomials, Taylor 42—51 111 155—157
Polynomials, vector form 76—77
Potentials 275—276
Power rule for differentiation 57
Power series 38—52
Precision, limits on 20—21 24—25 30 49 108 124 189
Pressure 195 219
probability 195 212—215
Probability density function 213—215
Probability, discrete vs. continuous 212
Probability, upper-tail 214
Product rule 57 76 78 185
Profit 87—89 94 99
Programs, keying in 12 283—284
Programs, using 283
Programs, where to store 12 283—284
Projection 227
Pseudo-Contour plot type 227 232—233
Purging variables 65
Pythagorean Theorem 114 120 207
QUAD command 74
Quotient rule 57 76 79
Radius of convergence 48
Radius of curvature 251
Rate of return on investment 99—100
Ratio test of convergence 31
Rational fractions 76 80
Rational fractions, converting from symbolic expression 76
Rational fractions, converting to polynomials 191
Rational fractions, converting to symbolic expression 76
Rational fractions, partial frac. expansion 76 181 190—193
Rectangular coordinates 84
Recursive sequences 10 12—13 16
Reduction formulas 191
Regression 142—143
Related rates of change 112—120
Relations 73—74 111
Relativity 119
Resolution of a plot 108—109 130
Revenue 87 99—100
Revolution, axis of 202—208
Revolution, solids of 202 205—206
Revolution, surface of 207—208
Riemann Sums 137—141
Romberg' s method 140
Root of a function 92—93
Root test 31—35 48 50 162
Round-off error 20—21 24—25 164
Rules of differentiation 57 63
Runge — Kutta — Fehlberg method 172
Saddle point 248
Sampling grid 227—228 230 232 234
Scalar multiplication 224
Scalars 221
Segment of a line 222
Segmentation of an integrand 137 159—161 168—169 198 203 261
seq command 11 13
Sequence, arithmetic 10
Sequence, Fibonacci 13 14
| Sequence, geometric 10
Sequence, harmonic 10
Sequences 9—53 10—13 29 100
Sequences, closed-form 10—11 14
Sequences, defining functions of 10
Sequences, plotting 14—23
Sequences, recursive 10 12 13 16
Series 9—53
Series as approximations of functions 38—41
Series, approximating 36—37
Series, convergent 29—31 40
Series, harmonic 31
Series, power 38—52
Series, Taylor 42—53
Shell 205
Simpson's rule 137 139 142 146
Sine curve 152
slope 42 55 63 82 84 87—88 92 102—104 106 170
Slope, average 55
Slope, instantaneous 55 73 101
Slope, zero 89—90
Slopefield plot type 170—172 227 232
Snedecor' s F-distribution 215
Solids of revolution 202—206
SOLVE application 130
Solving equations 106 113—114
Solving systems of non-linear equations 108 247 249
speed of light 119
Spherical coordinate system 238—239 266—267
Spring constant 216 218
Stack syntax 63
Standard deviation 148 150—153 214
Student's t-distribution 215
Substitution, method of 137 163—165 181—184 188 281
Sums, infinite 9
Surface area 207—208 278
Surface area as integration element 277
Surface in space 227
Surface in space, parametrized 235 256 277—281
Surface integral 277—281
Surface of revolution 207—208
Tangent plane 242—243 247 256
Tangent to a curve 101—104 106 242 251
Tangent to a surface 242—243 247 256 277
TANL command 101
Taylor approximation 42—51 242
Taylor series 42—51 111
Taylor's theorem 52
TAYLR command 43 44 155
Temperature 210 246 264
Term of sequence 9
Tick-marks 15 41
Trace of a matrix 254
Triple integration 264—270
Triple scalar product 253
Uncertainty of integration 124
Unit vector 244
Units and derivatives 70 112 113—115 117—120
Units in computations 216
Units, dimensionally consistent 216—217
Units, integration and 216—218
Upper-tail probabilities 214
User-defined derivatives 71 74
User-defined functions 71 72 74 175
UTPC command 215
UTPF command 215
UTPN command 214 215
UTPT command 215
Variable, DEPND 227 228 229 235
Variable, IERR 124
Variable, INDEP 227 228 235
Variable, IPRTS 175—180 182 193 260 275
Variable, random 214
Variables of differentiation 68 72 75 77 112
Variables of integration 123—124 132 135 164—165 177 181—184
variables, dependent 72 82 94 104
Variables, independent 72 82 94 104 112
Variables, name conflicts 283
Variables, purging 65
Variance 215
Vector derivatives, curl 254—255
Vector derivatives, divergence 254—255
Vector derivatives, Jacobian 252—254
Vector derivatives, laplacian 254—255
Vector operations 222
Vector, direction of 222
Vector, functions 82
Vector, magnitude of 222
Vector, unit 244
Vector, zero 247 276
Vectors 221
Vectors, arithmetic 223—281
Vectors, basis 222
Vectors, components of 221 222 226
Vectors, direction angles 226
Vectors, perpendicular 225
Vectors, polynomials as 76—77
Vectors, products of 224 242
Vectors, symbolic 222 234—235 241
Velocity 195 216—217 278
Vertical shift 152
View volume 228—229 234
Visualizing functions 221 227—239
Volume 94—96 195 201—206 219 264—265
Washers 202
Weight (as a force) 216 218
Weight-density 216 219
Weighted average 210
Wireframe plot type 227—229
Work 195 216—218 272—273
Y-Slice plot type 227 230—231
Zero vector 247 276
Zooming, Box-Zoom 19
Zooming, Horizontal zoom-in (HZIN) 21
Zooming, looking for local linearity 58—60
Zooming, zoom factor (ZFACT) 21
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