GAS1642

Engineering mathematics 1B

(SCI)

Dr Alistair Carr

4 points + Second semester + 3 hours lectures and one 1-hour tutorial per week + Distance + Prerequisites: GAS1641 + Prohibitions: not for credit with MAT1085, MAT1090

Synopsis: Topics covered include the following. Calculus: complex numbers; extension of systematic indefinite integration beyond GAS1641; extension of differential equations including homogeneous and linear ODEs; convergence of series; Taylor's theorem; partial differentiation and local extrema of functions of two variables. Linear algebra; linear systems of equations and row-reduction algorithms; linear dependence of vectors and subspaces of Euclidean n-space; eigenvalues and eigenvectors; diagonalisation of matrices; applications to mechanical and electrical systems.

Assessment: Class tests and assignments: 40% + Examination (3 hours): 60%