Mathematics for Australia 12 General Mathematics

 

Mathematics for Australia 12 General Mathematics

1 SIMULTANEOUS LINEAR EQUATIONS 9
A Linear functions 10
B Simultaneous linear equations 14
C Solving simultaneous equations using technology 18
D Problem solving with simultaneous equations 20
Review set 1A 22
Review set 1B 23
2 LINEAR PROGRAMMING 25
A Feasible regions 26
B Constructing constraints 33
C Linear programming 34
D Non-integer vertices 44
Review set 2A 47
Review set 2B 49
3 NUMBER SEQUENCES 51
A Number sequences 52
B Arithmetic sequences 55
C Geometric sequences 60
D Recurrence relations 64
Review set 3A 69
Review set 3B 70
4 BIVARIATE STATISTICS 73
A Association between categorical variables 75
B Association between numerical variables 78
C Measuring correlation 83
D Line of best fit by eye 91
E Least squares regression line 94
F Residual plots 99
G Exponential regression 107
Review set 4A 111
Review set 4B 115
5 THE NORMAL DISTRIBUTION 119
A The normal distribution 121
B Probabilities using a calculator 128
C Quantiles 131
Review set 5A 135
Review set 5B 136
6 TIME SERIES 139
A Time series data 140
B Smoothing data 144
C Deseasonalising data 150
D Forecasting 156
Review set 6A 160
Review set 6B 162
7 INVESTMENTS 165
A Simple interest 166
B Compound interest 169
C Future value annuities 176
D Effective rates 184
E Tax and inflation 188
F Superannuation 194
Review set 7A 200
Review set 7B 202
8 LOANS 205
A Reducing balance loans 206
B Home loans 211
C Strategies to minimise interest 214
D Comparison rates 226
E Interest-only loans and sinking funds 231
Review set 8A 234
Review set 8B 236
9 MODELLING WITH MATRICES 239
A Networks 240
B Connectivity matrices 246
C Dominance matrices 257
D Transition matrices 262
Review set 9A 274
Review set 9B 277
10 NETWORKS: CONNECTION PROBLEMS 281
A Terminology 282
B Shortest path problems 285
C Shortest connection problems 289
D Maximum flow problems 294
Review set 10A 299
Review set 10B 300
11 NETWORKS: GRAPH THEORY 303
A Routes on graphs 305
B Eulerian graphs 307
C Hamiltonian graphs 314
D Planar graphs 320
Review set 11A 324
Review set 11B 326
12 DISCRETE MODELS 329
A Critical path analysis 330
B Assignment problems 345
Review set 12A 359
Review set 12B 360
ANSWERS 363
INDEX