Postgraduate - UnitMTH9020 - Calculus and linear algebra

Refer to the specific census and withdrawal dates for the semester(s) in which this unit is offered.

Synopsis

Integration techniques, numerical integration, improper integrals; sequences and series, approximation of functions with polynomials and trigonometric functions; ordinary differential equations and modelling, models of population growth, predator-prey systems, oscillations; multivariable functions: partial and directional derivatives, maxima and minima, multiple integrals; linear systems as matrix equations, Gaussian elimination, the structure of vector spaces, eigenvalues and eigenvectors and their application to dynamical systems.

Assessment

Examination (3 hours): 60%
3 Assignments: 30%; Online activities: 10%
Students will be required to pass at least two assignments and the final examination to be awarded a pass grade in the unit.

Chief examiner(s)

Dr Andrew Percy

Prerequisites

MTH9010