Mathematical methods II
Coordinator: Dr Eric Chu
6 points * Three 1-hour lectures per week, one 1-hour tutorial * Second semester * Clayton * Prerequisites: MAT1050 (or MAT1010) * Prohibitions: MAT1020, MAT1812, MAT1920, GAS1612, GAS1615
Objectives On the completion of this subject students will be able to understand the algebra and geometry of complex numbers and become skilled at calculations involving complex numbers; solve some first order differential equations and second order linear differential equations; calculate partial derivatives, differentials, gradient vectors and directional derivatives; find local extreme values and saddle points for functions of several variables; understand the basic properties of sequences and series and appreciate the role of series in estimation of functions; calculate Taylor and Fourier series; use a computer algebra package to help solve problems in calculus.
Synopsis Complex numbers. Differential equations. Differential calculus of more than one variable. Sequences and series: Taylor series, Fourier series. Further use of the computer algebra package DERIVE.
Assessment Examination (2 hours): 70% * Assignments: 30%
Prescribed texts
Stewart J Calculus 3rd end, Brooks-Cole, 1995 (packaged together with Heuvers, K and others Linear algebra for calculus Brooks-Cole, 1991)
Recommended texts
Arianrhod R J and Norton P N An introduction to using the DERIVE package Monash University, 1995
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