Courses: 3rd Year 1st Sem., B. Sc. Mathematics

MTH311: Metric Space Topology
(2 credit units)Sets matrices and examples. Open spheres (or balls).Open sets and neighborhoods. Closed sets.Interior, exterior, frontier, limit points and closure of a set.Dense subsets and separable spaces.Convergence in metric space.Homoeomorphism.Continuity and compactness, connectedness.

MTH321: Elementary Diff. Equation II
(3 credit units)Series solutions of second order linear equations. Bessel, Legendre and hyper geometric equations and functions. Gamma, Beta functions sturmlioville problems. Orthogonal polynomials and functions.FourierBessel and FourierLegendre series.Fouriertransformation.Solution of lap laces, wave and heat equations by Fourier method.

MTH331: Complex Analysis I
(2 credit units)Function of a complex variable. Limits and continuity of functions of a complex variable.Derivation of the Cauchy Riemann equations. Analytic functions. Bilinear transformations, conformal mapping. Contour integrals. Cauchy’s theorems and its main consequences.Convergence of sequences and series of functions of complex variable.Powerseries.Taylor series.

MTH341: Vector and Tensor Analysis
(3 credit units)Vector algebra.Vector, dot and cross products. Equations of curves and surfaces. Vector differentiation and applications.Gradient, divergence and curl. Vector integrals, line, surface and volume integrals.Green’sStoke’s and divergence theorems. Tensor products of vector spaces. Tensor algebra. Symmetry.Cartesian tensors.

MTH351: Numerical Analysis I
(3 credit units)Solution of linear difference equations.Implicit and explicit multistep methods for solving initial value problems.Analysis of convergence multistep methods.RungeKutta methods. Theorem about convergence of rungekutta methods Numerical methods for solving stiff systems of ordinary differential equations

MTH361: Real Analysis II
(2 credit units)Riemann integral of functions R R;continuousmonopositive functions. Functions of bounded variation.The Riemann stietjesintegral.pointwise and uniform convergence of sequences and series of functions R.

MTH371: Abstract Algebra II
(2 credit units)Effects on limits (sums) when the functions are continuously differentiable or Riemann integrable, power series.

GST311: Introduction to Entrepreneurial Studies
(2 credit units)Some of the ventures to be focused upon include the following: soap/detergent, tooth brushes and tooth paste making; photography; brick, nails, screws making; dyeing/textile blocks paste making; rope making; plumbing; vulcanizing; brewing; glassware production/ceramic production; paper production; water treatment/conditioning/packaging; food processing/packaging/preservation; metal working/fabricationsteel and aluminum door and windows; training industry; vegetable oil /and salt extractions; fisheries/aquaculture; refrigeration/air conditioning; plastic making; farming (crop); domestic electrical wiring; radio/TV repairs; carving; weaving; brick laying/making; bakery; tailoring; iron welding; building drawing; carpentry; leather tanning; interior decoration; printing; animal husbandry (poultry, piggery, goat.); metal craftblacksmith, tinsmith; sanitary wares; vehicles maintenance and bookkeeping.

MTH329: Lab Field Work for Mathematical Sciences II
(1 credit units)The students are to visit notable Computer & Mathematical Centres where applied Mathematics like Computing and Statistical Analysis is being demonstrated to give a clear picture of the classroom theory. The Students are expected to submit a report of the academic visits.

MTH381: Introduction to Mathematical Modeling
(2 credit units)Methodology of model building; identification, formulation and solution of problems, causeeffect diagrams.Equation types.Algebraic, ordinary differential, partial differential, difference, integral and functional equations.Application of mathematical models to physical, biological, social and behavioral sciences.

MTH371: Abstract Algebra II
(2 credit units)Effects on limits (sums) when the functions are continuously differentiable or Riemann integrable, power series.

STA311: Operations Research
(2 credit units)The nature of operations research.Allocation problems, Techniques of operations research. Phases of operation research study. Classification of operation research models.Linear, Dynamic and integer programming.Decision theory. Inventory models, critical path analysis and project controls. Stochastic and nonstochastic phenomena and models.Linearprogramming.Feasible and optimum solutions. Geometric method for optimum solution. Elements of nonlinear stochastic programming. Application to transportation, storage and shortest route and others

MTH391: Discrete Mathematics
(2 credit units)Groups and subgroups; Group Axioms, permutation Group, Cosets, graphs; Directed and Undirected graphs, sub graphs, cycles, connectivity, application (flow charts) and state transition graphs; lattices and Boolean Algebra, finite fields, minimum polynomials. Irreducible polynomials, polynomial roots, Application (errorcorrecting codes, sequences generators).

STA321: Analysis of Variance I
(2 credit units)Analysis of simple, double and multiple classifications of balanced data in crossed and nested arrangements. Analysis of twoway, threeway contingency tables for tests of homogeneity, independence and interactions. Analysis involving incomplete tables, missing values etc.
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