Contents: Foundations: Arithmetic -- Algebra -- Linear equations -- Quadratic equations -- Some further equations and techniques -- Optimization with one independent variable: Derivatives and differentiation -- Derivatives in action -- Economic applications of functions and derivatives-- Elasticity -- Mathematical of finance and growth: Compound growth and present discounted value -- The Exponential function and logarithms -- Continuous growth and the natural exponential function -- Derivatives of exponential and logarithmic functions and their applications -- Optimization with two or more independent variables -- Functions of two or more independent variables -- Maximum and minimum values, the total differential, and applications -- Constrained maximum values -- Returns to scale and homogeneous functions; partial elasticities; growth accounting; logarithmic scales -- Some further topics: Integration Martix algebra -- Difference and differential equations -- Extensions and future directions(on the online resource centre)