Index

acceleration due to gravity 123 accuracy 115

activity 205

air resistance 160, 240, 268 animal growth 232 approximations 115

art gallery 63

assumptions 16, 20, 25, 28, 47, 55, 95, 211 athletics 10

attributes 205 bandage 65 basketball 177 battles 140, 179, 279

binomial distribution 194 bird life longevity 7 blood testing 305

buses 274

car exhaust bay 46 car parking 296 chaos 142 clocktime 207 coin tossing 291

continuous random variables 194, 198 corners 32

corridors 32

coupled differential equations 178 cranes 162

crystals 295 data 217

data collection 7, 11, 12, 19, 24, 218, 219 deterministic models 76

difference equations 38, 131

differential equations 150 dimensions 122

discrete random variables 194, 198 disk pressing 252

drag force 221 driving speeds 242 elastic constant 288 empirical models 219 entities 203 equilibrium point 185

errors and accuracy 235 estimating animal populations 294 evacuations 27

event sequencing 203 events 203

exponential distribution 195, 198 factors 15, 89, 129

family names 294 firemen 171

first-order differential equations 151 fish harvest 36

fixtures 49 flowcharts 78 football 177

foxes and rabbits 184 gas flow 76

getting wet 80 gutters 257 hairdressers 203 hand simulation 206 health centres 75

height and weight 220, 227

highway code 24 ice-cream cornet 66 ice-cream sales 111

initial conditions 76, 145, 182, 185, 211 input-output principle 190

inputs 90, 93, 129 integration 56

inverse c.d.f. method 199 investments 62

jumble sales 108, 112 ladders 32, 63

lake models 136, 139 laws of collision 287

least squares 8, 219, 221, 228 lift system 64

loan finance 42

logistic growth curve 155 matrix models 38, 141 methodology 80

mileage 290 modelling flowchart 78 motorways 292

needle crystals 295

Newton's laws of motion 156, 269 normal distribution 195, 198 OHP 296, 317

outputs 90, 93, 129 parachute jumps 268

parameters 26, 83, 90, 93, 117, 210, 227 performance measures 211

physical models 156 picture hanging 291 Poisson distribution 194

population growth 36, 132, 151, 155, 294

presentation 317, 318 prey predator 184 price war 24

prices 104, 114 probability function 194

probability density function 194 problem solving 75 proportionality 106 pseudo-random numbers 197 pyramid selling 64

queue discipline 205 rainfall 80, 94, 107, 257, 263

random numbers 48, 77, 197, 282 random variables 192

random walk model 58 rates of change 150 rejection method 200 report writing 298 reservoirs 92

Reynolds number 126, 221 second-hand car 66

second-order differential equations 156 sheep farming 297

shopping trips 248 shot putt 177

SI units 119

simulation 30, 47, 75, 201 simulation languages 215 simulation packages 216 sleeping policeman 169 smoking tax 246

snooker 283 snow ploughs 54 state variables 203

steady state 38, 41, 211 stochastic models 77, 192 Stokes’ drag 127 sunshine 103

swing doors 170 temperature 236 tennis matches 54

terminal speed 127, 160, 268 testing models 238

tide level 224 time slicing 203

trace tables 207–209

traffic 20, 293 traffic lights 20 transients 211 turf 263

uncoupled differential equations 171 uniform distribution 195, 198

units 118

units conversion table 121 variables 15, 25, 43, 92 vehicle 46

water tank 91