Mathematics II-D
E Chu
6 points
* 4 hours per week
* Second semester
* Clayton
*
Prerequisites: MAT1811
* Prohibitions: MAT1020, MAT1841, MAT1920, GAS1612,
GAS1615
Objectives At the completion of this subject students should be able to understand the algebra and geometry of complex numbers; 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 computer algebra packages 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: 70%
* Assignments: 30%
Prescribed texts
Stewart J Calculus 3rd edn, Brooks-Cole, 1995
Recommended texts
Arianrhod R J and Norton P N An introduction to using the DERIVE package Monash U, 1995
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