**Duration:** 22 weeks excluding examining period.

**Number of lectures per week:** 3.5

**Assessment:**

**End-of-year Examination:** One 3 hour examination.

**Description: **

Laplace transforms

Vector valued functions

Motion in 3-d space

Tangent vectors

Curve lengths, 2-d areas

Integrals in polar co-ords

Partial differentiation

Directional derivation

Grad, Div, Curl

Taylor expansions

Maxima & Minima

Multiple integrals in 3-d

Spherical & Cylindrical Co-ords

Green, Stokes & Divergence theorems

Eigenvalues, eigenvectors

Bases of **R**^{n}, linear independence

Diagonalisation of matrices.

Nov 9, 1999