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Inferential Statistics
A second course in statistics covering Chi-square and F-distributions, tests of hypotheses for difference in means, proportion, difference of proportions, variance, difference of variances, regressions, correlation, analysis of variance, and the use of non-parametric methods. It also includes the steps to be undertaken in conducting sample surveys, theoretical discussions on the different sampling designs, estimation procedures using the various designs sample size estimation as well as variance reduction techniques.
Introduction to Numerical Analysis
A course in linear and non-linear equations, system of linear equations, numerical differentiation and integration, and numerical solutions to differential equations.
Modern Geometry
A course dealing with the geometries of the Euclidean plane, the sphere and the projective plane. Topics include congruence, isometries, affine transformations, Desargue’s Theorem and Pappus’ Theorem.
Complex Analysis
A course covering De Moivre’s theorem, analytic functions of complex variables, harmonic functions, multiple-valued functions, contour integration, the Jordan curve theorem, the Dauchy Integral theorem, Taylor series, Laurent series, residues and poles, and conformal mappings.
Linear Programming
This course exposes the students to basic linear optimization analysis. Duality and interior-point method.
Mathematics Research 1
An introductory course to research techniques and research topics. The student is required to submit a thesis proposal.
Mathematics Research 2
The course requirement is a bachelor’s thesis done by the student under the guidance of an adviser. |