MAT1812

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