Teaching

I am currently teaching five courses in the 2024/2025 session at the University of Lagos. 

MAT956: Advanced Topics in Numerical Analysis (Direct Individual Study for Ph.D. Candidates)

Semester: 2nd

Offered: 2025

Differential Algebraic Equations, Singularities, Exponential Fittings, Nonlinear Equations, Finite Element Methods for PDEs, Approximation Theory, Advanced Numerical Linear Algebra.  

MAT906: Selected Topics in Numerical Analysis and Computational Methods (Direct Individual Study for Ph.D. Candidates)

Semester: 1st

Offered: 2025

Numerical Solutions of Ordinary and Partial Differential Equations, Boundary Value Problems, One Step Methods, Multistep Methods, Stiff Problems, Numerical Linear Algebra. 

MAT817: Numerical Methods I (Masters Students)

Semester: 1st

Offered: 2025

Functions Approximations: Tchebyshef Polynomials, Rational Functions and Pade Approximations, Least Square Approximations, Least Square Approximations, Min-Max Approximation. Solution of Ordinary Differential Equations: One Step Methods, Taylor and Runge-Kutta Methods, Multistep Methods. Error Estimates. Predator-Corrector Methods. Problem of Stiffness. 

MAT824:  Applied Mathematical Methods II (Masters Students)

Semester: 2nd

Offered: 2025

Generalized Fourier Expansion. Integral Transforms, Partial Differential Equations: Separation of Variables, Transform Techniques. Dirichlets Problem, Cauchy Problem, Application to Laplace, Wave and Heat Equations. Variational Principles.

MAT463: Numerical Analysis IV (400 Level Students) 

Semester: 2nd

Offered: 2025

Solutions of Difference Equations. The Solution Concept of Difference Equation. Approximation of the Solution of PDEs, Classification of PDEs. The Approximation of Derivatives by Finite Difference. A Simple Parabolic Differential Equation. The Explicit form of the Difference Equation and its Convergence. Stability and Consistency. The Crank Nicolson Method. Introduction to Finite Element Method; Variational Formulations. Engineers' Point of View of Finite Element Methods. Boundary Conditions. Weighted Residual Methods. The Galerkin Method.  

MAT438: Numerical Analysis III (400 Level Students)

Semester: 1st

Offered: 2025

Existence of Solution: One Step Schemes and Theory of Convergence and Stability. Linear Multistep Methods. Development, Theory of Convergence and Stability. Extrapolation Processes. Integral Equation and Boundary Value Problems (Shooting Method).

MAT334: Numerical Analysis II (300 Level Students)

Semester: 1st

Offered: 2025

Solution of Simultaneous Equations: Direct Method, Gaussian Elimination Method, Gauss Jordan Method and L. U. Decomposition Method. Iterative Schemes, Gauss Seidal and Gauss Jacobi Approximation. Curve Fitting, Least Square Method, Orthogonal Polynomials (Chebyshev and Legendre Polynomials). Numerical Integration: Simpson and Trapezoidal Rules, Newton Cote Formula and Gaussian Quadrature. Initial Value Problems for Ordinary Differential Equations.

MAT216: Numerical Analysis I (200 Level Students) 

Semester: 1st

Offered: 2025

Finite Difference Operators Solutions of Nonlinear Equations: Bisection, Regula-Falsi, Secant and Newton Raphson Method. Error Analysis. Finite Difference Operators. Interpolation Lagrange, Newton Divided Difference, Newton Gregory Forward and Backward Difference, Numerical Differentiation.  

MAT233: Mathematical Methods I (200 Level Students) 

Semester: 1st

Offered: 2025

Further Differentiation and Integration. Maclaurin Series, Taylor Series (Mean Value Theorems). Functions of Several Variables: Partial Differentiation, Function of a Function, Differentials Exact Differential, Total Derivative, Change of Variables, Jacobians Taylor Series in Two Variables. Applications of Partial Derivatives to Geometry, Errors, Extreme and the use of Lagragian Multipliers. Differential Equations: First Order Equations; Separable, Homogeneous, Exact, Linear, Bernoulli and Ricatti Equations. Geometric and Physical Applications. Exponential Functions, Exponential Growth and Decay Problems, Hyperbolic Functions. "Evaluation of Line Integrals. Multiple Integrals".

MAT223: Mathematical Methods II (200 Level Students) 

Semester: 2nd

Offered: 2025

Laplace Transform: Transforms and their Inverses Convolution Theorem. Fourier Series: Fourier Coefficient and Expansions, Cosine and Sine Series, Change of Interval. Second Order Ordinary Differential Equations with Constant Coefficients. General Theory of nth Order Linear Differential Equations. Solution by Laplace Transform Method. Total Differential Equations. Partial Differential Equations: Classification, Euler's Equation and its General Solution. Application of Ordinary and Partial Differential Equations to Physical, Life and Social Sciences.

MAT122: Calculus (100 Level Students)

Semester: 2nd

Offered: 2025

Functions of Real Variables, Graphs, Limits and Notion of Continuity. Differentiation: Differentiation of Algebraic Functions, Trigonometric Functions, Composites Function and Chain Rule, Higher Order Derivatives. Applications: Rectilinear Motion. Tangents and Normal, Maximum and Minimum, Rate of Change and Curve Sketching. Integration: Integration as Inverse of Differentiation, Definite Integral, Techniques of Integration. Applications: Areas, Volumes and Moments of Inertia. 

FSC114: Elementary Mathematics (100 Level Students)

Semester: 1st

Offered: 2025

Elementary Set Theory: Subsets, Inclusion, Union, Intersection, Complements, Venn Diagrams. Real Numbers: Natural Numbers and Mathematical Induction, Integers, Rational and Irrational Numbers. Real Sequences and Series. Theory of Quadratic Equations, Binomial Theorem. Trigonometry: Circular Measure, Trigonometric Functions of Angles of any Magnitude, Trigonometric Formulae. Polar and Parametric Equations. Complex Numbers: Algebra of Complex Numbers, Argand Diagram, De Moivre's Theorem (nth root of unity). Coordinate Geometry: The Straight Lines, Elementary Treatment of Circles. Introduction to Statistics: Descriptive Statistics, Reading and Interpretation of Graphs, Misleading Graphs, Population and Samples, Elementary Sampling Methods. Use of Appropriate Software for Analysis.