Duration:
Number of lectures per week: 2 lectures per week, plus a tutorial every third week.
Assessment: Assignments will count for ?% of the mark.
End-of-year Examination: Three hour exam. Result is combined with results of 1S1 and 1S3.

Description:

• Vectors, geometric, norm, vector addition, dot product, application of angle between vectors as measure of genetic distance

• Systems of linear equations and Gauss-Jordan elimination; application to the geological science of mineralogy Matrices, inverses, diagonal, triangular, symmetric, trace, application to geographical distribution, and application to colour

• Determinants, evaluation by row operations, properties, vector cross products, eigenvalues and eigenvectors

• Nonlinear recurrences and applications to discrete biomass evolution, periodic cycles and their stability properties

• Differential equations, system of first order linear equations, applications to symbiotic and prey-predator population dynamics.

References:

1. H. Anton & R. C. Busby, Comtemporary Linear Algebra, John Wiley
2. H. Anton & C. Rorres, Elementary Linear Algebra: applications version, John Wiley
3. David C. Lay, Linear Algebra and its applications, Addison-Wesley Longman.
4. Ron Larson & B. Edwards, Elementary Linear Algebra, Houghton Mifflin Company

May 18, 2004