Part one: Foundations -- Arithmetic -- Algebra -- Linear equations -- Quadratic equations -- Some further equations and techniques -- Part two: Optimization with one independent variable -- derivatives and differentiation -- derivatives in action -- economic applications of functions and derivatives -- elasticity -- Part three: Mathematics of finance and growth -- Compound growth and present discounted value -- The exponential function and logarithms -- Continuous growth and the natural exponential functions -- Derivatives of exponential and logarithmic functions and their applications -- Part four: Optimization with two or more independent variable -- Functions of two or more independent variables -- Maximum and minimum values, the total differential, and applications -- Constrained maximuum and minimum values -- Returns to scale and homogeneous functions; partial elasticities; growth accounting; logarithmic scales -- Part five: Some further topics -- Integration -- Matrix algebra -- Difference and differential equations -- Extensions and future directions (on the Online Resource Centre).