MAT1812

Mathematics II-D

E Chu

6 points - Three 1-hour lectures and one 1-hour laboratory class per week - Second semester - Clayton - Prerequisites: MAT1811, MAT1010, MAT1050 or MTH1020 - Prohibitions: GAS1615, MAT1020, MAT1080, MAT1085, MAT1920, MTH1030

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; calculate eigenvalues and eigenvectors; calculate vector products, etc; 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. Vector algebra and geometry. Linear algebra - eigenvalues and eigenvectors. 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)

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