Courses: 2nd Year 2nd Sem., B. Sc. Mathematics
MTH212: Introduction to Numerical Analysis(3 credit units)
Solution of algebraic and transcendental equations. Curve fitting. Error analysis.Interpolation and approximation.Zeros or non – linear equations; to one variable system of linear equations.Numerical differentiation and integral equations.Initial value problems for ordinary differential equations.
MTH222: Vectorial Mechanics(2 credit units)
Vectors in Euclidean spaces, vector and triple products.Equations of lines and planes, vector equations.General kinematics, momentum, angular momentum, foundamental equations of motion.Energy and conservation laws.Dynamics of a particle-force in oscillation. Plane motion of a particle in ( r, ? ), ( s, q ), ( p, r ) co-ordinates.Dynamics of a rigid body.
MTH232: Abstract Algebra I(2 credit units)
Group: Definition, examples include permutation groups. Subgroups, cosets. Lagrange’s theorem and applications cyclic groups, Rings: definition, examples including Z, ZN.rings of polynomials and matrices. Integral domains, fields, polynomials rings, factorization, Euclidean algorithm for polynomials H.C.F and L.C.M.of polynomials
MTH242: Linear Algebra II(2 credit units)
Systems or linear equation, change of basis, equivalence and similarity.Eigenvalues and elqenvectors.minimum and characteristics of polynomials of a linear transformation (matrix).Cayley –Hamilton theorem.Bilinear and quadratic forms, orthogonal diagonalisation. Canonical forms.
CMP212: Computer Programming II(3 credit units)
Principle of good programming; structured programming concepts. Debugging and testing; string processing, internal searching and sorting, Data structures, Recursion. C++ programming language or any other similar language should be used in teaching the above.
GST212: Introduction to entrepreneurial Skills(2 credit units)
Introduction to entrepreneurship and new venture creation; Entrepreneurship in theory and practice; The opportunity, Forms of business, Staffing, Marketing and the new venture; Determining capital requirements, Raising capital; Financial planning and management; Starting a new business, Feasibility studies; Innovation; Legal Issues; Insurance and environmental considerations possible business opportunities in Nigeria.
GST222/232: Communication In French/Arabic(2 credit units)
MTH262: Introduction to Complex Analysis(2 credit units)
Complex Numbers & Functions. Complex Planes, complex mapping.Types of transformations.Calculus of Complex Variables.The Cauchy-GoursatTheorem.Liouville’s Theorem and the Maximum Principle.
MTH252: Further Real Analysis(2 credit units)
Integration-The Riemann Integral.Exponential and logarithmic functions.The trigonometric functions.The Gamma function.Vectors in Real Analysis.Vector functions-convergence and continuity. Vector derivatives.Directionalderivatives.partial derivatives. Local maxima and minima.Stationary points and classification. Mean value theorems and Differentials.
STA212: Probability II(2 credit units)
Moment generating functions and its properties. Limit theorems in probability. Central limit theorem for independently and identical distributed random variables. Distribution of order statistics.Hyper geometric, multinomial, negative binomial, exponential, beta, cau-chy, log- normal Gamma, t, chi-square and f distributions.Bivariate probability distributions.Conditionalexpectation.Variance and co variance.
CMP262: Introduction to File Processing(2 credit units)
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