E. Kengne on Google Scholar; MathSciNet; Research Gate; ZentralBlatt; mathnet.ru; genealogy.ams; Academic Search; with MR Citation; Academic Search; Yahoo-search (Mathematics); Excite-search
1. Mathematical analysis:
Numeric sequences; Real topology; Metric spaces; Differential calculus
of functions of one or n variables: Limit and continuity,
differentiation, partial derivatives, curves and surfaces; Integral
calculus: integral of functions of one variable, multiple integrals,
curvilinear integrals, surface integrals; Differential forms: integral
formulas of the mathematical analysis (Green formula, Stokes formula,
Gauss-Ostrogradskii formula); Optimization of functions of n variables.
2. Series and Integrals:
Numeric series; Functional sequences and functional series; Power
series; Taylor series; Fourier series and Fourier integrals; Fourier
transformations; Laplace transformation; Improper integrals; Integral
depending on parameters.
3. Differential equations:
Ordinary differential equations: method on integration of ODEs,
quantitative and qualitative studies of ODE, Existence and
uniqueness of solutions of Cauchy problem, boundary value problems for
ODE; Stability of solutions; Dynamic systems. Partial differential
equations: Classification of quasilinear partial differential
equations; Fundamental equations of the mathematical physics;
Wave equations; Heat equations; Laplace equations; Potential theory;
Boundary and initial value problems for PDE; Fourier solutions, Poisson
solutions, and D’Alembert solutions of boundary and initial
problems for PDE.
4. Special function of mathematical physics:
Bessel equations and Bessel functions; Legendre equations and Legendre
functions; Laguerre equations and Laguerre functions; Spherical
functions; Applications to the study of particles movement.
5. Numerical methods:
Numerical resolution of algebraic equations; Numerical integration;
Numerical differentiation; Polynomial interpolation; Numerical
resolution of Cauchy problem for ODE.
6. Optimization and linear programming:
Convex analysis; Linear programming with constraints; Linear
programming without constraints; The simplex algorithm; Nonlinear
optimization; discrete programming; Optimization with constraints;
Optimization without constraints.
7. Mathematics for engineering: Mathematics for computer Sciences; Mathematics for Live Sciences.