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CHANCELLOR Sir George Alleyne OCC, MD, FRCP, FACP (Hon), Hon. DSC (UWI) - page 117 / 136

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The

FA C U L T Y Faculty

BOOKLET 2004 – 2005 of Science & Agriculture

MATH 3420 (M 34D) SPECIAL TOPICS IN GRAPH THEORY (4 credits)

MATH 3450 (M 35A) STATISTICAL THEORY I (4 credits)

Prerequisite: MATH 2170, MATH 2180 and MATH 3400 (M 24A, M 24B and M 34B) Syllabus: The Syllabus: and content at any one time will depend on the research interests of the lecturer. Relevant research material

Prerequisite: MATH 2140 (M 25A) Syllabus: Joint and Conditional Distributions; Distribution of Function of Random variables; Moment Generating Function Techniques; Order statistics; Poisson Process; Finite Markov Chains; Intro-

will be made available. Examination: One 2-hour written paper A project accounting for

  • (a)

    project report

  • (b)

    1- hour seminar

75% 25% 15% 10%

MATH 3430 (M 34E) ADVANCED ALGEBRA I - THEORY (4 credits)

Prerequisite: MATH 2100 and MATH 2110 (M 20A and M 20B) Syllabus: Group Theory: Fundamentals, Cyclic groups, Cosets, Homo- morphism Theorems; The Sylow Theorems, Theory of p-groups, Direct products of groups, Solvable groups.Ring Theory: Ide- als; Quotient rings, Polynomial Rings, Euclidean Domains. Unique factorisation domains; Irreducible criteria.Field Theory: Characteristics of Fields, Fields of Quotients, Sub-fields and Field Extension, Splitting Fields, Elements of Galois Theory.

Examination:

One 2-hour written paper

85%

Coursework

15%

MATH 3440 (M 34F) ADVANCED ALGEBRA II - APPLICATIONS (4 credits)

Prerequisite: MATH 3430 (M 34E) Syllabus:Straight-edge and Compass constructions; Coding theory; Polynomial and matrix representation; Applied Linear Algebra; Linear transformation; Functions of matrices; The Jordan Canonical form of a matrix; Solution of systems of

differential equations; Quadric surfaces. Examination: One 2-hour written paper Coursework

85% 15%

duction to Queuing Theory. Examination: One 2-hour written paper Coursework

75% 25%

MATH 3460 (M 35B) STATISTICAL THEORY (4 credits)

Prerequisite; MATH 2140 and MATH 2150 (M 25A and M 25B) Syllabus: Methods of finding estimators and their properties Bayesian Inference; Regression Analysis; Time Series Analysis; Testing of Hypotheses; Design of Experiments; Sampling Theory.

Examination:

One 2-hour written paper

60%

Coursework

40%

MATH 3470 (M 35E) SAMPLING THEORY (4 credits)

Prerequisite: MATH 2150 (M 25B) or a Good Grade i.e. B+ in ECON 2006 (EC23J) Syllabus: Basic ideas concerning the design and uses of sample surveys.Sampling techniques: Simple random sampling (with derivations of basic results), Stratified sampling, Cluster /*RE- DUCE SPACE */sampling (one and two stage). Systematic sam- pling. Non-response and missing data in sample surveys.Designing forms and collecting data. Interpretation of data and survey report writing.Topics in the sampling of non-

human populations. Examination: One 2-hour written paper Coursework (in-course examinations and projects)

60% 40%

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