**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:**

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

May 18, 2004

File translated from T

On 18 May 2004, 10:51.