Part I Introduction: mathematical modelling, numerical methods and engineering problem solving; using computers for engineering problem solving; to err is human, to control errors is to engineer. Part II Roots: roots of equations; Excel; MATLAB. Part III Optimization: optimization Excel; MATLAB. Part IV Linear systems: linear systems; Excel; MATLAB. Part V Curve fitting - regression: regression; Excel; MATLAB. Part VI Curve fitting - interpolation: interpolation; Excel; MATLAB.