Understanding Engineering Mathematics

Index

Integrating rational functions 265
Integration 253
Integration by parts 273
Intercept of a line 212
Intercept theorem 153
Intersecting lines 216
Interval 98
Inverse Laplace transform 512
Inverse matrix 381, 395
Inverse of a function 100
Inverse trig functions 184
Irrational number 6, 411
Isosceles triangle 150
Iteration 426

Kinematics 311

Laplace equation 490
Laplace transform 285, 504
Laplace transform of the derivative 509
Law of natural growth 127
Limit 125, 412
Line 147
Line segment 147
Linear approximation 441
Linear combination 463
Linear equation 48, 65
Linear expression 40
Linear first order equation 458
Linear inequality 99
Linear programmming 223
Linear substitution 260
Linear superpositions 515
Linear systems 515
Logarithm 130
Lowest common multiple (LCM) 9

Maclaurin’s series 434
Magnitude of a vector 320, 331
Mantissa 24
Mapping 90
Matrix 378
Maximum 294
Mean 110, 314
Method of least squares 312
Midpoint of a line 209
Minimum 294
Mixed fraction 12
Modulus 8
Modulus function 96
Modulus of a complex number 355
Moment of a force 347
Moment of inertia 313

Monomial 43

Multiplication by a scalar 322, 331

Multiplication of matrices 383

Natural exponential function 124

Natural logarithm 130

Natural numbers 5

Negative numbers 5

Newton’s laws 245, 477

Newton’s method 427

Normal to a curve 230, 293

nth harmonic 518

nth term 105

Numerator 12, 55

Obtuse angles 149

Odd function 95

Open interval 98

Opposite angles 149

Order of differential equation 448

Ordinary differential equation 448

Orthogonality relations 517

Orthonormal basis 329

Orthonormal set 329

Parallel lines 149, 214

Parallelogram law 321

Parametric differentiation 240

Parametric representation 91

Parametric representation of curves 219

Partial differential equation 490

Parseval’s theorem 526

Partial derivative 487

Partial fractions 62, 265

Partial sum 428

Particular integral 462, 469

Particular solution 449

Percentage 13

Period 182

Periodic functions 180

Permutation 16

Perpendicular lines 214

Phasors 198, 371

Piecewise continuous function 505

Plane 485

Plane geometry 149

Plotting a graph 92

Point 147

Point of inflection 294

Polar coordinates 206

Polar form of a complex number 355

Polynomial 43, 52

Polynomial equation 43, 52