ECTS - - Modeling And Design Of Engineering Systems (Ph.D. on B.S.)
Compulsory Departmental Courses
Elective Courses
CE566 - Advanced Mathematical Methods in Civil Engineering (3 + 0) 5
First-, second- and higher-order linear ordinary differential equations, system of differential equations, power series solution of differential equations, Laplace transforms, partial differential equations, numerical integration and derivation, numerical solution of differential equations.
EE310 - RF and Microwave Engineering (3 + 2) 6
Introduction to RF and microwave systems, analysis of transmission lines and wavequides, the Smith chart, scattering parameters and matching networks, LC networks, single and double stub tuning using the Smith chart, PCB realization of RF and microwave circuits, microstrip lines, various RF and microwave passive components including filters, and
MATH670 - Mathematical Models in Biology (3 + 0) 5
Linear and nonlinear biological models via difference equations; linear and nonlinear biological models via differential equations; special topics in mathematical biology including predator-prey models, SI,SIS,SIR epidemic models, competition models of two and three species, Van Der Pol equation, Hodgkin-Huxley and FitzHugh-Nagumo models.
MDES600 - Research Methodology and Communication Skills (3 + 0) 5
Rigorous, scholarly research, particularly theses or dissertations. Literature review, surveys, meta-analysis, empirical research design, formulating research questions, theory building, qualitative and quantitative data collection and analysis methods, validity, reliability, triangulation, building evidences, writing research proposal
MDES610 - Mathematical Modeling via Differential and Difference Equations (3 + 0) 5
Differential equations and solutions, models of vertical motion, single-species population models, multiple-species population models, mechanical oscillators, modeling electric circuits, diffusion models, modeling by means of difference equations.
MDES615 - Analytical Probability Theory (3 + 0) 5
Sigma-algebra of sets, measure, integral with respect to measure; probability space; independent events and independent experiments; random variables and probability distributions; moments and numerical characteristics; random vectors and independent random variables; convergence of random variables; transform methods; sums of independent random v
MDES620 - Numerical Solution of Differential Equations (3 + 0) 5
Numerical solution of initial value problems; Euler, multistep and Runge-Kutta methods; numerical solution of boundary value problems; shooting and finite difference methods; stability, convergence and accuracy; numerical solution of partial differential equations; finite difference methods for parabolic, hyperbolic and elliptic equations; explic
MDES631 - Engineering Decision and Risk Analysis (3 + 0) 5
Basic notions of probability, random variables, functions of random variables distributions, moments; first and second-order approximations; probability models for engineering analysis; Bernoulli sequence, binomial distribution, Poisson and related distributions, normal and related distributions, extreme-value distributions, other distributions us
MDES640 - Advanced Theory of Engineering Design (3 + 0) 5
Determination of the customer needs and the real design problem; engineering creativity; generation of innovative solution alternatives, and selection of the effective solution; modularity in design; collaboration in interdisciplinary design tasks; concepts of systems, models, and strategies for purposeful activities; design and control of design p
MDES641 - Biomimetic and Bioinspired Engineering Design (3 + 0) 5
definitions, terminology and concepts in biomimetics; review of biological systems for kinematic and dynamic analysis, for structural analysis, and for behavioral modeling; reverse engineering as applied to biological systems; mapping concepts of biological systems on the engineering systems; theories and application principles of modeling and scal
MDES642 - Materials and Process Selection in Design (3 + 0) 5
Design process, steps of design, design tools, designing against failure, materials and process selection in design, case studies in materials and process selection; quality, safety and economical considerations; material property charts, multiple constraints and conflicting objectives, selection of material and shape, designing hybrid materials, p
MDES645 - Information Systems Analysis and Design (3 + 0) 5
Introduction to software architecture; design patterns; object-oriented modeling and architectural design with contemporary notation; experimentation in design; design prototyping; working on design teams and management of object-oriented projects; detailed design and implementation issues; design reviews; using design document for coding.
MDES646 - Advances in Management Information Systems (3 + 0) 5
Introduction to advanced topics in management information systems; management information systems modeling and design; advances in information technology and the corresponding development techniques, emerging new systems opportunities; the need for managing these applications effectively; the new application areas and the system management approach
MDES651 - Boundary Element Method Programming (3 + 0) 5
Vector calculus; boundary value problems in mechanics; general outline of boundary element formulation; direct and indirect formulations; discretization-elements and integration; assembly and solution techniques; advanced techniques-dual reciprocity and multiple reciprocity, substructuring and boundary element-finite element coupling; parallel prog
MDES652 - Design and Modeling of Casting and Solidification Processes (3 + 0) 5
Theoretical background including fundamentals of casting process modeling, stress analysis, defect formation, microstructure evolution, thermophysical properties, and quick analysis techniques to solve casting problems; applications to shape castings, ingot castings and spray forming.
MDES655 - Linear Optimization (3 + 0) 5
Sets of linear equations, linear feasibility and optimization, local and global optima, the Simplex method and its variants, theory of duality and the dual-Simplex method, network-Simplex algorithms, computational complexity issues and interior-point algorithms.
MDES656 - Nonlinear Optimization (3 + 0) 5
Linear algebra and polyhedral sets, duality and the theorems of the alternative, convex sets and convex functions, line-search methods, unconstrained optimization, optimality conditions; steepest descent, Newton, quasi-Newton and conjugate-gradient algorithms; constrained optimization and optimality conditions; the reduced gradient method; penalty
MDES661 - Formal Languages and Automata (3 + 0) 5
Languages and their representations, finite automata and regular grammars, context-free grammars; concept of abstract machines and language acceptance; deterministic and non-deterministic finite state machines; pushdown automata; Turing machines and introduction to the theory of computation.
MDES663 - Chemical Computations (3 + 0) 5
Coordinate systems; definition of theory, computation and modeling; units used in computational chemistry; potential energy surfaces; theoretical structures; mathematical concepts; hardware and software; foundations of molecular orbital theory; semiempirical implementations; density functional theory; ab initio implementations, thermodynamic proper
MDES665 - Chemical Thermodynamics of Materials (3 + 0) 5
Advanced treatment of the thermodynamic properties of inorganic materials; laws of thermodynamics and their application to the chemical behavior of materials systems; multicomponent systems, phase and chemical reaction equilibria; thermodynamics of phase transformations; introductory surface thermodynamics.
MDES667 - Fundamentals of Target Tracking (3 + 0) 5
Brief review of probability theory and linear algebra, basic concepts in estimation, state estimation for linear systems, state estimation for nonlinear systems, maneuvering target tracking, adaptive estimation, comparison of several adaptive estimation methods for maneuvering targets, multiple model approach.
MDES672 - Advanced Topics in Digital Image Processing (3 + 0) 5
Review of image processing fundamentals, frequency and space domain image processing methods; wavelets, multiresolution processing, and orthogonal transforms; image and video compression standards; image segmentation and representation; nonlinear image processing methods.
MDES677 - Advanced Artificial Intelligence (3 + 0) 5
Intelligent agents, problem solving by searching, informed/uninformed search methods, exploration, constraint satisfaction problems, game playing, knowledge and reasoning: first-order logic, knowledge representation, learning, selected topics: evolutionary computing, multiagent systems, artificial neural networks, ant colony optimization.
MDES678 - Theory of Continuous Media I (3 + 0) 5
Review of tensor analysis and integral theorems; kinematics of deformation, strain tensor, compatibility condition; material derivative, deformation rate, spin and vorticity tensor; external and internal loads, Cauchy?s principle and stress tensors; basic laws of continuum mechanics (conservation of mass, continuity equation, principle of linear an
MDES679 - Theory of Continuous Media II (3 + 0) 5
Energy an virtual work equations, second law of thermodynamics, entropy, reversible and irreversible processes; theory of thermoelasticity, Gibbs relation; adiabatic and isothermal deformations; Clausius-Duhem inequality; constitutive equations, material symmetry restrictions; theory of viscoelasticity, theory of plasticity; applications.
MDES681 - Computer Programming for Structural Dynamics (3 + 0) 5
Differential equations of motion: force balance, virtual work, Hamilton`s principle and Lagrange`s equations; support excitation; free vibration: undamped, under-damped, critically damped, and over-damped systems; viscous and frictional damping; response to impulsive and earthquake loading: convolution, numerical integration, and frequency domain m
MDES683 - Theory of Plasticity (3 + 0) 5
Vector and tensor calculus; general concepts about mechanics of materials-stress and strain concept; continuum deformation: displacement, strain and compatibility conditions; mechanics of continuous bodies: stress and stress equation of motion; elastic constitutive relations; inelastic constitutive relations; yield criteria, flow rules and hardenin
MDES684 - Mechanics of Composite Materials (3 + 0) 5
Types of composite materials, constitutive relation for anisotropic materials, macromechanical behavior of a single lamina, strength and failure of unidirectional lamina, macromechanical behavior of a laminate, bending, buckling and vibration of laminated plates.
MDES685 - Advanced Topics in Tunneling (3 + 0) 5
Introduction to tunneling: art and engineering; preliminary studies and design; tunneling methods: NATM, TBM methods and others; stress and strain phenomena associated with excavation of tunnels; design and support of tunnels; application of numerical analysis code for tunneling design (such as FLAC, PLAXIS).