Calculus for Life Sciences

INDEX

Absolute value function, 19, 400

Acceleration, 110

average, 254

instantaneous, 254

Accumulated change, 357

calculating, 380

Acetaminophen

clearance of, 226–227

geometric decay of, 87–88

Addition law, 39

Aerobic rate, 289

Agnesi, M.G., 264

Algebraic equations, 141

Allee effect, 467–468

Allometric scaling, 44–45

Amplitude, 31

Ant biodiversity, 186–187. See also Derivatives as functions

Antiderivatives, 396

of acceleration, 353

for cos(ax), 350

definition, 348

evaluation theorem and, 379–380

general forms of, 349

initial value problem, 350–351

rules, 350

with slope fields, 353

stooping behavior of peregrine falcons, 354–355

of velocity, 353

Antidifferentiation, 348

Archimedes, 357

Arctic fin whale, sustainable exploitation of, 302–303

Area under curve, 357–358

estimating, 362–364

exact, under x² on the interval [0, 1], 364–365

finding, 347

mortality rates due to plague, 360–362

for nonnegative continuous function, 369

of various rates associated with disease, 360

Arithmetic, functional, 62

Arithmetic

mean, 540

sequence, 87

Arteriosclerosis, 230, 230f

Asymptotes

linear, 282–283

vertical, 279

Asymptotes and infinity

difference of infinities, 148

dose–response curves, 147–148

horizontal asymptotes, 145–148

infinite limits at infinity, 151–153

informal definition, 149

overview, 144

unabated population growth, 153

vertical asymptotes, 149–151

wolves eating moose, 150–151

Autonomous differential equation, 432, 476

first-order, 485

Autonomous models, 468

Average, 540

acceleration, ...