Mathematics for Informatics 4 (U01675)

? Credit Points : 20 ? SCQF Level : 8 ? Acronym : MAT-2-mi4

Vector geometry in Rn, Euclidean transformations of Rn; discrete probability, continuous probability, Markov chains, birth-and-death processes.

Entry Requirements

? Pre-requisites : Prior attendance at MAT-2-mi3

? Prohibited combinations : MAT-2-am4I, MAT-2-Prb.

Subject Areas

Home subject area

Mathematics for Informatics, (School of Mathematics, Schedule P)

Delivery Information

? Normal year taken : 2nd year

? Delivery Period : Semester 2 (Blocks 3-4)

? Contact Teaching Time : 5 hour(s) per week for 11 weeks

All of the following classes

Type	Day	Start	End	Area
Lecture	Monday	12:10	13:00	KB
Lecture	Wednesday	12:10	13:00	KB
Lecture	Thursday	12:10	13:00	KB
Lecture	Friday	12:10	13:00	KB

? Additional Class Information : Tutorials: Tu at 1110 and 1210

Summary of Intended Learning Outcomes

(Geometry)
1. Discuss and derive properties of objects in n-dimensional space.
2. Calculate various geometrical quantities (e.g. angles, parametric representations, shortest distance to a subspace).
3. Discuss and derive further properties of objects in two and three dimensional space (e.g., given a surface and a point on it find the tangent plane at that point).

(Probability)
1. Discuss and apply methods of discrete probability such as conditional probability and joint distributions.
2. Discuss the basic notions of continuous probability and apply them to simple situations.
3. Describe Markov chains and their use in some applications.
4. Discuss and apply the use of probability in other areas such as queues.