Authorised by Academic Registrar, April 1996
Objectives The student is expected to demonstrate an understanding of the basic computational techniques of calculus; understand sufficient of the conceptual basis of calculus to be able to apply it to derive formulations of scientific and engineering problems; demonstrate facility in computations involving matrices, determinants and vectors in three-dimensional space; demonstrate an understanding of the use of matrices in representing transformations and of the geometric interpretation and uses of vector algebra.
Synopsis Topics covered include the following. Calculus: functions; review of differentiation with applications including approximations, the finding of local extreme points, rate problems and curve sketching; definite integration with application to areas, volumes and centres of mass; systematic indefinite integration; elementary differential equations (as far as first order separable) with applications. Linear algebra: algebra of matrices; homogeneous linear transformations on R2and R3; determinants; matrix inversion; vectors in three-dimensional space - scalar and vector products and applications in geometry and statics and dynamics.
Assessment Class tests and assignments: 40% + Examination (3 hours): 60%