UNDERGRADUATE REGULATIONS & SYLLABUSES 2013-2014 THE FACULTY OF SCIENCE & TECHNOLOGY LEVEL: III SEMESTER: NOT OFFERED IN 2013/2014 COURSE CODE: MATH 3120 COURSE TITLE: MATHEMATICAL STATISTICS STATISTICAL INFERENCE NUMBER OF CREDITS: 4 PREREQUISITE: MATH 3110 N.B. STUDENTS CANNOT GET CREDITS FOR BOTH MATH 2150 AND MATH 3120 COURSE DESCRIPTION: Theory of Estimation: Ideas of point estimation; mean-squared error; interval estimation; method of maximum likelihood; Cramer-Rao Inequality. Hypothesis Testing: Type I and Type II errors; tests concerning means, variances and proportions; Goodness of fit Tests; non-parametric tests. Ideas of Regression Analysis including simple linear Regression in detail; Experimental Design and the Analysis of Variance (Completely Randomised Design, Block Designs, Latin Squares, Factorial Designs). Efficiency and the Fisher- Factorization Criterion; the Rao-Blackwell theorem. Estimation from multinomial populations. Simple random, stratified, cluster and systematic sampling; non-sampling errors in surveys; likelihood ratio tests. Assessment: Coursework 40% Final Examination - One 2-hour written paper 60%
LEVEL: III SEMESTER: 1 COURSE CODE: MATH 3250 COURSE TITLE: FLUID DYNAMICS I NUMBER OF CREDITS: 4 PREREQUISITES: MATH 2120 AND MATH 2160 COURSE DESCRIPTION: Orthogonal Curvilinear Coordinates: Cartesian, Cylindrical and Spherical. Introduction to Tensors. Kinematics and Equations of motion for Inviscid fluids. Simple Inviscid Flows. Axisymmetric 3-D flows and Stokes stream function. Viscous flows: Navier-Stokes equations and some exact solutions. Assessment: Coursework 40% Final Examination - one 2-hour written paper 60% LEVEL: III SEMESTER: NOT OFFERED IN 2013/2014 COURSE CODE: MATH 3260 COURSE TITLE: FLUID DYNAMICS II NUMBER OF CREDITS: 4 PREREQUISITE: MATH 3250 COURSE DESCRIPTION: Further Two-dimensional Flows; Some Three -dimensional Flows; Viscous Flows Assessment: Coursework 40% Final Examination - One 2-hour written paper 60%
LEVEL: III SEMESTER: 2 COURSE CODE: MATH 3240 COURSE TITLE: REAL ANALYSIS NUMBER OF CREDITS: 4 PREREQUISITE: MATH 2120 COURSE DESCRIPTION: Properties of real numbers, real line topology (open sets, cluster points, compactness, connectedness). Introduction of topological spaces. Metric space. Continuity and homeomorphism. Point wise and uniform convergence of sequence and series of real valued functions. Assessment: Coursework 25% Final Examination - One 2-hour written paper 75%
LEVEL: III SEMESTER: 2 COURSE CODE: MATH 3280 COURSE TITLE: INTRODUCTION TO MATHEMATICAL MODELLING I NUMBER OF CREDITS: 4 PREREQUISITES: MATH 2120 AND MATH 2160 COURSE DESCRIPTION: Idea of modelling real life and situations using Mathematics. Theory of ordinary differential equations (eigenvalues and eigenvectors) and the linear stability. Application to Medicine (e.g. testing of diabetics). Predator-Prey models (struggle for survival between two species). Epidemiology (e.g. model of the spread of gonorrhea). A theory of war. Assessment: Coursework 25% Final Examination - One 2-hour written paper 75%
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