Courses: 4th Year 1st Sem., B. Sc. (Ed) Mathematics
EDU431: Teaching Practice II(3 credit units)
Practical implementation of teaching/learning strategies in the classroom as applied to the subject area.
SED431: Science Technology and Society(2 credit units)
Socio-political aspects of science and technology, health and diseases, the effects on the environment of fuel, food, water, waste disposal.Application of science and technology to everyday life; Basic Scientific principles involved in the design and functioning of everyday appliances, devices, systems and phenomena.Relevance of the school science curricula to societal needs.
SED421: Seminar in Science Education(2 credit units)
Identification and examination of some of the issues confronting science education in Nigeria. The major issues include funding, laboratory equipment, gender equity, methodology, curriculum, facilities, vocational guidance, Distribution, teacher education, measurement, evaluation and assessment in science.
MTH411: Theory of Ordinary Differential Equations(3 credit units)
The general first order equation, Existence and uniqueness theorems.Singularpoints.Differentia inequalities. Autonomous systems-orbits, limits and invariants sets. Linearisation.Stability, liapunovtheory.Green’sfunction.Periodicsolution.Special topics.
MTH421 : Applied Functional Analysis I(3 credit units)
Metric spaces and fixed points; metric spaces optimal economic growth problems, fixed points by successive approximations, applications of contraction mapping principle. Integration theory: fundamental result: the integration in S1, closure of S1and S2, complete spaces of integrable functions.
MTH441: Mathematical Methods II(3 credit units)
Calculus of variation: Lagrange’s functional and associated density. Necessary condition for a weak relative extremum.Hamilton’sprinciples.Lagrange’s equations and geodesic problems.The du Bois- Raymond equation and corner conditions.Variable end-points and related theorems. Sufficient conditions for a minimum. Isoperimetric problems.Variational integral transforms. Lap lace, Fourier and Hankel transforms. Complex variable methods.Convolutiontheorems.Application to solution of differential equations.
MTH461: Numerical Analysis II(3 credit units)
The basic Gaussian Elimination Methods. Gaussian Elimination methods with partial pivoting.Algorithms for both basic G.E.M. and G.E.M. with partial pivoting. Inner products and Gram- Schmidt process. Matrix and Vector Norms. Error Analysis of Linear Systems.The condition number of a matrix. Iterative Methods for Linear equations such as: Jacobi method, Gauss-Seidel Method. Convergence analysis of Iterative methods.Linear systems arising from partial differential equations.The finite difference methods.Solution of elliptic, parabolic and hyperbolic equations by finite difference methods.
MTH471: Complex Analysis II(3 credit units)
Laurent expansions.Isolated singularities and residues.Residue theorem calculus of residue, and application to evaluation of integrals and to summation of series.Maximum modulus principle.Argumentprinciple.Ruche’stheorem.The fundamental theorem of algebra.Principle of analytic continuation.Multiple valued functions and Riemann surfaces.
MTH481: Analytical Dynamics II(3 credit units)
Lagrange’s equations for non-homonymic systems. Lagrange multiplies. Variational principles; calculus of variation, Hamilton’s principle.Lagrange’s equations from Hamilton’s principles.Canonicaltransformations.Normal modes of vibrations.Hamilton-Jacobin equations.Euler’s angles.
MTH491: Fluid Mechanics(3 credit units)
Real and Ideal fluids.Differentiation following the motion of fluid particles.Equations of motion and continuity for incompressible invscid fluids. Velocity potentials and stoke’s stream functions. Bernoulli’s equation with application to flow along curve4d paths.Kineticenergy.Sources, sinks, doubles in 2 and 3- dimensions, limiting streamlines.Images and rigid planes.Kutta-Joukowski’stheorem.Vortices, circulation, Blassius Theorem, Irrotational flow.
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