Part I Simple mathematical concepts 7

1 Basic rules of algebra 9

2 Solving equations 28

3 Economic applications I 38

Part II Introduction to dynamics 51

4 Limits and summations 53

5 Growth and logarithms 61

Appendix: An alternative view of the exponential function 70

6 Difference equations 73

7 Economic applications II 87

Part III Differential calculus 97

8 Differentiation 99

9 Maxima and minima 114

10 Economic applications I 122

Part IV Integral calculus 137

11 Integration 139

12 Differential equations 150

13 Economic applications IV 160

Part V Multivariate calculus 167

14 Differentiation with more than one variable 160

15 Optimization 180

16 Economic applications V 193

Part VI Matrix algebra 203

17 Vectors and matrices 205

18 Applications of matrix algebra 229

Answers to selected exercises 239

Index 243