Characterise functions and apply differential calculus to the solution of optimisation, related rates and approximation problems. Manipulate complex numbers in algebraic, polar and exponential forms. Use MacLaurin and Taylor series to establish approximations to functions. Integrate functions using a variety of techniques and apply them to the determination of areas, volumes and average values of functions. Find the inverse of matrices by the Gauss-Jordan method and the solution of linear algebraic equations by Gaussian elimination and LU factorisation. Solve certain first and second order ordinary differential equations.
This information is provided separately via the Student VLE System
Dr David Taborda