คณิตศาสตร์ที่เคยศึกษา ผ่านหูผ่านตามา
Analysis:
Mathematical analysis : Metric topology, sequence and series, limit and derivative of function uniform convergent, Reimaan stiljes integral
Advanced analysis : point set, open set, closed set, sequence, series, sequence of function, metric space, fixed point, compact space.
Functional analysis : Norm space, Banach space, Inner product space, Hilbert space, Linear operators, Duality Hahn-Banach Theorem.
Applied analysis : Differential and integral calculus, line and surface integral ,Normed and Banach space, Hilbert spaces.
Theory Of Differential Equations. : existence and uniqueness first order, high order, linear, autonomous, autonomous system, phase portrait, stability, bifurcation.
Algebra:
Linear and multi-linear algebra:Vector space, dual space, linear operator, Canonical form, multi-linear and tensor product.
Applied mathematics:
Numerical analysis 1: system of linear and nonlinear(drop from school)
Numerical analysis 1 : error analysis, nonlinear equations, interpolation, differential and integral, IVP, linear systems, iterative for linear systems, least squares, householder,SVD.
Partial differential equations :
Classical mechanics : Newtonian, Hamiltonian and Lagrangian.
Continuum mechanics : Vector and Tensor, Kinematics, Balance law, Thermodynamics, Objectivity, Constitutive laws, Linear elasticity, Finite Elasticity, Heat transfer and Thermoelasticity, Fluids, Viscoelasticity and Plasticity.
Method of applied mathematics : Green's function, Generalize functions, Boundary Value Problems, Integral equations, Perturbations
Control theory : Classical control discrete control Linear control linear feedback control ability observability global and local stability Lyapunov and optimal control
Optimization:
Operation research:Linear programing, game theory
Mathematical modeling :Identification and constructing model
Stochastic : Markov chain, Queuing system, stochastic programing,Probabilistic dynamic programing
Graph theory : graph, digraph, isomorphism, subgraph, graph operations tree binary search trees, priority trees, spanning trees, Eulerian and Hamilton, planarity and duality.
Advanced Graph theory : basic graph tree connectivity Eulerian and Hamitonion graph matching graph factorization graph parameter.
Research fields
Functional equations:Applied functional equations, Stability and sensitivity
Applied analysis
Mathematical modelling : Contact mechanic model.
Seminar (Course works)
Algebra : The Mathematical Foundations Of Bond Graph I.
Analysis : The Cauchy Functional Equations In Distributions.
Applied analysis 1/1 : Signorini's problem.
Applied analysis 1/2 : Existence theorem for noncoercive incremantal contact problems with coulomb friction.
Applied analysis 2/1 : Nonlocal contact Continuous problem.
Applied analysis 2/1
| Create Date : 07 กุมภาพันธ์ 2551 |
| Last Update : 14 สิงหาคม 2556 22:23:15 น. |
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