Degree Type:Bachelor of Science
Department:Department of Mathematics
4 years (Standard Entry)
Modes of Study:Regular
In today’s increasingly complicated international business world, a strong preparation in the fundamentals of both economics and mathematics is crucial to success. Graduates can find work as economists, market research analysts, financial analysts, and financial planners, amongst several other rewarding career fields.
9 READING LIST
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Applicants pass Elective Mathematics, Economics and any one (1) of the following elective subjects: Physics, Chemistry Business Management, Principles of Costing and Accounting or Geography.
This programme combines the main contents of both economics and mathematics within a programmatic structure that joins the two disciplines.
It applies mathematical methods to represent theories and analyse problems in economics.
It is argued that mathematics allows economists to form meaningful, testable propositions about wide-ranging and complex subjects. In addition, the language of mathematics allows economists to make specific, positive claims about controversial or contentious subjects that would be impossible without it. Therefore a combination of both disciplines in a single programme ensures that our graduates enter the world of work with the requisite skills.
CMS 107: Communicative Skills I
Engaging in academic work at the university is challenging. This course is aimed at equipping fresh students to make the transition from pre-university level to the university level. It assists them in engaging and succeeding in complex academic tasks in speaking, listening, reading and writing. It also provides an introduction to university studies by equipping students with skills that will help them to engage in academic discourse with confidence and fluency.
CMS 108: Communicative Skills II
This is a follow-up course on the first semester one. It takes students through writing correct sentences, devoid of ambiguity, through the paragraph and its appropriate development to the fully-developed essay. The course also emphasizes the importance and the processes of editing written work.
MAT 401: Real Analysis I
This course is designed as a basic introductory course in the analysis of metric spaces. It is aimed at providing the abstract analysis components for the degree course of a student majoring in mathematics. This course affords students an opportunity to gain some familiarity with the axiomatic method in analysis. The topics to be covered are: metric spaces, open spheres, open sets, limit points, closed sets, interior, closure, boundary of a set, sequences in metric spaces, subsequences, upper and lower limits of real sequences, continuous functions on metric spaces, uniform continuity, isometry, homomorphism, complete metric spaces, compact sets in a metric space, Heine-Borel theorem, connected set, and the inter-mediate value theorem.
MAT 405: Ordinary Differential Equations
The construction of mathematical models to address real-world problems has been one of the most important aspects of each of the branches of science. It is often the case that these mathematical models are formulated in terms of equations involving functions as well as their derivatives. Such equations are called differential equations. If only one independent variable is involved, often time, the equations are called ordinary differential equations. The course will demonstrate the usefulness of ordinary differential equations for modelling physical and other phenomena. Complementary mathematical approaches for their solution will be presented. Topics covered include linear differential equation of order n with coefficients continuous on some interval J, existence-uniqueness theorem for linear equations of order n, determination of a particular solution of non-homogeneous equations by the method of variation of parameters, Wronskian matrix of n independent solutions of a homogeneous linear equation, ordinary and singular points for linear equations of the second order, solution near a singular point, method of Frobenius, singularities at infinity, simple examples of Boundary value problems for ordinary linear equation of the second order, Green’s functions, eigenvalues, eigenfunctions, Sturm-Liouville systems, properties of the gamma and beta functions, definition of the gamma function for negative values of the argument; Legendre, Bessel, Chebyshev, Hypergeometic functions and orthogonality properties.
MAT 409: Operations Research
This course serves as an introduction to the field of operations research. It will quip students with scientific approaches to decision-making and mathematical modelling techniques required to design, improve and operate complex systems in the best possible way. Topics covered include linear programming, the simplex method, duality and sensitivity analysis, integer programming , nonlinear programming, dynamic programming and network models.
MAT 408: Introductory Functional Analysis
This course is intended to introduce the student to the basic concepts and theorems of functional analysis and its applications. Topics covered include linear spaces, topological spaces, normed linear spaces & Banach Spaces, inner product spaces, Hilbert spaces, linear functional and the Hahn-Banach theorem.