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MTH9020

Calculus and linear algebra ( 6 points, SCA Band 2, 0.125 EFTSL)

Postgraduate
(SCI)

Leader: Dr Cristina Varsavsky

Offered:
Clayton Second semester 2005 (OCL)
Gippsland Second semester 2005 (OCL)

Synopsis: Integration techniques, numerical integration, improper integrals; sequences and series, approximation of functions with polynomials and trigonometric functions; ordinary differential equations and modeling, 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.

Prerequisites: MTH9010