Introductory Mathematics for Engineering Applications

INDEX

Acceleration, 221, 226–240

Acceleration due to gravity, 221

Addition of sinusoids of same frequency, 166–173,

See also under Sinusoids

Addition of two complex numbers, 137

Angular frequency, sinusoids, 161

Angular motion of one-link planar robot, 159–162

frequency and period, relations between, 160–162

Antiderivative, 280

Armature current in DC motor, 140–141

Asphalt problem, 278–283

Average velocity, 219

Bending moment, 250

Capacitor, 314–321

current passing through, 247–250, 314–321

energy stored in, 314–321

impedance of, 135

voltage across, 247–250, 314–321

Center of Gravity (Centroid), 286–293

alternate definition of, 293–296

determination using vertical rectangles, 292

evaluation using horizontal elemental areas, 89

first moment of area, 294

of triangular section, 86

Chain rule of derivative, 241

Complementary solution, 347

Complex conjugate, 145–147

Complex numbers, 132–156

addition of two complex numbers, 137

armature current in a DC motor, 140–141

complex conjugate, 145–147

division of complex number in polar form, 139–140

examples, 141–145

exponential form, 136

impedance of a series RLC circuit, 136–137

impedance of R, L, and C as a, 134–135

multiplication of complex number in polar form, 139

polar form, 136

position of one-link robot as, 133–134

subtraction of two complex numbers, 137

Cos(θ), 61

Cramer's Rule, 188–189, 192

Current, 240

flowing in inductor, 322–326

passing through a capacitor, 314–321

Definite integral, 280

Deflection, 251

Derivatives, 218–277 ...