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Part I: Foundations
1. Arithmetic
2. Algebra
3. Linear equations
4. Quadratic equations
5. Some further equations and techniques
Part II: Optimisation with one independent variable
6. Derivatives and differentiation
7. Derivatives in action
8. Economic applications of functions and derivatives
9. Elasticity
Part III: Mathematics of finance and growth
10. Compound growth and present discounted value
11. The exponential function and logarithms
12. Continuous growth and the natural exponential function
13. Derivatives of exponential and logarithmic functions and their applications
Part IV: Optimisation with two or more independent variables
14. Functions of two or more independent variables
15. Maximum and minimum values, the total differential and applications
16. Constrained maximum and minimum values
17. Returns to scale and homogeneous functions; partial elasticities; logarithmic scales; growth accounting
Part V: Some further topics
18. Integration
19. Matrix algebra
20. Difference and differential equations
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