Higher Engineering Mathematics

Index-H8152.tex 23/6/2006 15: 18 Page 722

722 INDEX

Confidence coefficients, 582

intervals, 581, 582

levels, 582

limits, 582

Continuous data, 527

function, 199, 657

Contour map, 357

Conversion ofasinωt+bcosωtintoRsin(ωt+α), 178

Correlation, linear, 567

Cosecant, 116

Cosh, 41

series, 48

Coshθsubstitution, 405

Coshec, 41

Cosine, 116

curves, 152

rule, 124

wave production, 151

Cotangent, 116

Coth, 41

Couple, 102

Cramer’s rule, 283

Critical regions, 593

values, 593

Cross product, 241

Cubic equations, 191

Cumulative frequency distribution, 533, 536

Curve sketching, 209

Cycloid, 314

Deciles, 543

Definite integrals, 371

Degree of differential equation, 444

Degrees of freedom, 586

De Moivre’s theorem, 261

De Morgan’s laws, 101

Denary number, 86

Dependent event, 545

Depression, angle of, 119

Derivatives, 288

Determinant, 267, 271, 273

to solve simultaneous equations, 279

Determination of law, 38

Diameter, 137

Differential coefficient, 288

Differential equations, 444

a

d^2 x

dy^2

+b

dy

dx

+cy=0 type, 475

a

d^2 x

dy^2

+b

dy

dx

+cy=f(x) type, 481

dy

dx

=f(x) type, 444

dy

dx

=f(y) type, 446

dy

dx

=f(x)·f(y) type, 448

dy

dx

+Py=Qtype, 455

P

dy

dx

=Qtype, 451

degree of, 444

first order, separation of variables, 444

homogeneous first order, 451

linear first order, 455

partial, 512

power series method, 491

numerical methods, 460

simultaneous, using Laplace transforms, 650

using Laplace transforms, 645

Differentiation, 287, 288

applications, 298

from first principles, 288

function of a function, 295

implicit, 319

inverse hyperbolic function, 338

trigonometric function, 332

logarithmic, 324

methods of, 287

of common functions, 288

of hyperbolic functions, 330

of parametric equations, 314

partial, 343

first order, 343

second order, 346

product, 292

quotient, 293

successive, 296

Direction cosines, 240

Discontinuous function, 199

Discrete data, 527, 541

Distribution-free tests, 613

Dividend, 6

Divisor, 6

D-operator form, 475

Dot product, 238

Double angles, 182

Elastic string, 516

Elevation, angle of, 119

Ellipse, 192, 314

Equations, 3

Bessel’s, 504

complex, 253

heat conduction, 515, 520

hyperbolic, 47

indicial, 26, 498

Laplace, 514, 515, 522

Legendre’s, 509

normal, 310

of circle, 140, 192

quadratic, 5

simple, 3

simultaneous, 4

solving by iterative methods, 76

tangents, 310

transmission, 515

trigonometric, 166, 167

wave, 515, 516