MAT1080

Mathematical methods II

Coordinator: Dr Eric Chu

6 points
* Three 1-hour lectures and one 1-hour tutorial per week
* Second semester
* Clayton
* Prerequisites: MAT1050 or MAT1010
* Prohibitions: GAS1615, MAT1020, MAT1085, MAT1812, MAT1920

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 a computer algebra package.

Assessment Examination (3 hours): 70%
* Assignments/tutorials: 30%

Prescribed texts

Stewart J Calculus 3rd edn, Brooks Cole, 1995 (packaged together with Heuvers, K and others Linear algebra for calculus Brooks Cole, 1991)