Courses: 4th Year 2nd Sem., B. Sc. (Ed) Mathematics
EDU452: Research Project(4 credit units)
An application of research methods and data processing course to field experience under the guidance of the Faculty members. Exposure to EDU 341 and EDU 322 is required for this course.
EDU412: Guidance and Counselling(2 credit units)
Introductory course in the nature, aims, objectives, theories and methods of guidance and counseling in the Nigerian educational system. An examination of students’ needs and problems - biological and environmental, and the importance of guidance and counselling as probable measures for coping with them; such aspects of counselling and guidance - vocational, placement, orientation and evaluation, and tools for cumulative records, tests and inventories and their uses
EDU432: Science/ Mathematical Methods II(2 credit units)
EDU422: Special Education(2 credit units)
MTH422: Applied Functional Analysis II(3 credit units)
Separability and compactness. Algebraic structure of linear vector spaces, normed spaces and continuous operators, linear products spaces and Hilbert spaces. Minimization of quadratic functionals
MTH462: Complex Analysis III(3 credit units)
The algebra of complex numbers.Geometric representation of complex numbers and the spherical representation. Analytic functions, power series. The Exponential and logarithm function. Analytical function as mappings.Cauchy’s theorem and the cauchy Integral formula.Local properties of Analytic functions.The general form of cauchy’stheorem.The calculus of Residues.Harmonic functions.
MTH482: Quantum Mechanics(3 credit units)
Particle- wave duality. Quantum postulates. Schroedinger equation of motion. Potential steps and wells in 1- dim Heisenberg formulation. Classical limits of quantum mechanic. Computer brackets.Linear harmonic oscillator.Angular momentum.3-dim square well potential.The hydrogen atom collision in 3-dim.Approximation methods for stationary problems.
MTH472: Numerical analysis III(3 credit units)
Numerical quadrature: Romberg, Gauss, Integrable singular integrands, infinite range, multiple integrands. Discrete and continuous Collocation Tau methods for solving Ode’s.Error analysis. Partial differential equations: finite difference methods. Stability, convergence and error, orthogonal expansion.
MTH432 : General Topology(3 credit units)
Topological spaces, definition, open and closed sets, neighborhoods. Coarser, and finer topologies. Basis and sub- bases.Separatic axioms, compactness, local compactness, connectedness. Construction of new topological spaces from given ones; sub-spaces, quotient spaces. Continuous functions homoeomorphous topological invariants, spaces of continuous functions: point wise and uniform convergence.
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