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MATH 6628 - Differential Geometry (not offered in 2024-25)

This course is about the analysis of manifolds such as curves, surfaces and hypersurfaces in higher dimensional space using the tools of calculus and linear algebra. There will be many examples discussed, including some which arise in the theory of general relativity. Emphasis will be placed on developing intuitions and learning to use calculations to verify and prove theorems. Students need a good background in linear algebra. Some exposure to differential equations is helpful but not absolutely necessary.

MATH 6623 - Numerical Methods for Differential Equations

This course is intended to introduce and give an understanding of numerical methods for the solution of ordinary and partial differential equations. The methods will be derived and the convergence and stability of the methods will be analyzed. The applications of these methods in solving real world problems will be emphasized. Students will be exposed to modern mathematical software for the practical use of the problems and for better visualization of the convergence and stability of these methods.

Multivariate Statistics

This course aims at introducing students to methods of analyzing multivariate data. It introduces students to the notion of principal components factor analysis, various multivariate distributions, analysis of variance, multivariate analysis of variance (MANOVA), multivariate regression and multidimensional scaling and cluster analysis. At the end of the course students would have also considerably improved their knowledge of applied linear algebra and matrix theory and to be somewhat competent with at least one statistical software package.

What does the programme cost?

The full programme fee of JD$6,500 must be paid in advance to guarantee a place. For students who can demonstrate a genuine financial need, the Department of Mathematics has put in place the "Mathematics Bridging Programme Award". Awardees will have the fee waived.

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