X hits on this document

PDF document

CHANCELLOR Sir George Alleyne OCC, MD, FRCP, FACP (Hon), Hon. DSC (UWI) - page 116 / 136

442 views

0 shares

0 downloads

0 comments

116 / 136

The

FA C U L T Y Faculty

BOOKLET 2004 – 2005 of Science & Agriculture

MATH 3250 (M 33A) FLUID DYNAMICS I (4 credits)

MATH 3290 (M 34A) COMBINATORICS (4 credits)

Prerequisite: MATH 2120 and MATH 2160 (M 21A and M 21B) Syllabus: Vector Analysis. Gradient, Divergence, Curl. Orthogonal Cur- vilinear Co-ordinates: Cartesian, Cylindrical and Spherical. Line, Surface and Volume Integrals. Introduction to Tensors. Kinematics and Equations of motion for Inviscid fluids. Simple

Inviscid Flows. Examination: One 2-hour written paper Coursework

60% 40%

Prerequisite: Syllabus:

MATH 2100 or

MATH 2110 (M 20A or

M 20B)

Permutations and Combinations; Generating functions; Recurrence Relations; The Principle of Inclusion and Exclusion; Matching polynomials and Rook polynomials;

Polya’s theory of counting. Examination: One 2-hour written paper Coursework

75% 25%

MATH 3260 (M 33B) FLUID DYNAMICS II (4 credits)

Prerequisite:MATH 3250 (M 33A) or Permission of the Head of Department Syllabus: Further Two-dimensional Flows; Some Three -dimensional

MATH 3400 (M 34B) GRAPH THEORY (4 credits)

Prerequisite: Syllabus:

MATH 2100 (M 20A)

Graphs: Trees, Spanning treesAlgorithms for spanning trees, and for tree-codingPlanarity, ColouringNetwork Algorithms: Matchings, Graph polynomialsApplications in Operations Re-

Flows; Viscous Flows Examination: One 2-hour written paper Coursework

60% 40%

search Examination: One 2-hour written paper Coursework

85% 15%

MATH 3280 (M 33D) INTRODUCTION TO MATHEMATICAL MODELLING I (4 credits)

Prerequisite: MATH 2120 and MATH 2160 (M 21A or M 21B) Syllabus: Idea of modelling real life and situations using Mathematics. Theory of ordinary differential equations (eigenvalues and eigen- vectors) and the linear stability. Application to Medicine (e.g. testing of diabetics). Predator-Prey models (struggle for sur- vival between two species). Epidemiology (e.g. model of the

spread of gonorrhoea). A theory of war. Examination: One 2-hour written paper Coursework

75% 25%

MATH 3410 (M 34C) COMBINATORICS AND COMPUTING (4 credits)

Prerequisite:COMP 1100, COMP 1200, MATH 2170 and MATH 2180 (CS11E, CS11F, M 24A and M 24B) Syllabus: Analysis of Algorithms, Theoretical methods for analysing al- gorithms, Implementation of algorithms for generating per- mutations, combinations, compositions, sub-compositions etc. Computer representations of graphs; their advantages and dis- advantages. Developing Algorithms for finding standard sub graphs of graphs, for example spanning trees, optimal span- ning trees, Hamiltonian cycles. Implementation of algorithms for finding various kinds of F-polynomials. Coding of trees.

Examination: One 2-hour written paper

75%

A project consisting of a computer implementation together with a project report

25%

116

Document info
Document views442
Page views442
Page last viewedSat Dec 10 19:37:12 UTC 2016
Pages136
Paragraphs4701
Words45742

Comments