Handbook

This course covers material from ordinary differential equations, statistics and multi-variable calculus. These are important tools when mathematics is applied to situations in science and engineering. Students will study first-order and second order ODEs analytically, graphically and numerically. Statistics concerns the use of data to obtain information about real-life situations and problems. There are various statistical tools that help extract useful information from data. Topics covered are: measures of location, variability in data, histograms and distributions of discrete and continuous variables. The ideas and concepts of calculus of functions with a single variable are generalised to functions with two or more variables. Topics include: surfaces in three dimensions, partial derivatives, gradient vector, directional derivative and multi-variable optimisation.