Ders Tanımları

Definitions of microeconomics and macroeconomics. Essentials of microeconomics. Operations of markets. Scarcity and resource allocation. Demand and supply analysis and elasticities. Market efficiency and welfare. Consumer and producer surplus. Cost analysis of firms. Perfect competition and imperfect competition. Monopoly, oligopoly and monopolistic competition. Externalities and internalities. Economics of factor markets.

Matrices, matrix addition, matrix and scalar multiplication, algebraic properties of matrix operations, special types of matrices, solving linear systems, elementary row and column operations, echelon form of a matrix, Gauss and Gauss-Jordan method, elementary matrices and finding the inverse of a matrix by using elementary operations, real vector spaces, definition, subspaces, span and linear independence, basis and dimensions, homogeneous systems, rank of a matrix, linear spaces with inner product, definition of the inner product, Gram-Schmidt process, orthogonal complements, linear transformation and their matrix representations, kernel and range of a linear transformation, matrix of a linear transformation, determinants, definition and properties of determinants, cofactor expansion, finding inverses by using cofactors, eigenvalues and eigenvectors, characteristic polynomial and equation of a matrix, eigenvalues and eigenvectors, diagonalization of symmetric matrices.

Combine bending. Stress and strain transformations. Bending with shear. Center of shear. Study of elastic curve by various methods. Differential equations, Boubdary conditions. Mohr Method. Influence functions. Effect of shear on the elastic curve. Normal force with bending. Core. Materials not resistant to tension. Second order theory. Bending with torsion. Theorem of virtual work. Theorems of Betti and Castigliano. Minimum principles. Elastic stability. Euler cases. Buckling beyond the elastic limit. Frames, Curved bars. Approximate methods. Rayleigh ratio.

Introduction. Kinematics of a particle. Kinetics of a particle: Force and acceleration. Kinetics of a particle: Work and energy. Kinetics of a particle: Impulse and momentum. Planar kinematics of a rigid body. Planar kinetics of a rigid body: Force and acceleration. Planar kinetics of a rigid body: Work and energy. Planar kinematics of a rigid body: Impulse and momentum. Three-dimensional kinematics of a rigid body. Vibrations.

Surveying Principles. Basics Of Surveying. Leveling. Distance Measurement. Angles And Directions. Total Stations and Theodolites. Total Station Applications. Traverse Surveys. Satellite Positioning Systems. Topographic Surveying And Mapping. Geographic Information Systems. Control Systems. Remote Sensing. Satellite Imagery. Airborne Imagery. Surveying Applications. Highway Curves. Construction Surveys. Land Surveying. Hydrographic Surveys. Random Errors. Trigonometric Definitions And Identities. Examples Of Current Geomatics Technology. Typical Field Projects.

Fundamental knowledge of transportation engineering and planning with regard to following topics will be established: Socio-economic development and transportation, Environmental impacts, Improvements in transportation, Transportation modes, Infrastructures, Freight Transport, Urban Public Transportation, Transportation planning and policy concepts, aims, Travel demand analysis, Land use and Transportation, Management and Operation in transportation, Design engineering, Pavement and track design.

Basic definitions, first order differential equations, second order linear differential equations with constant coefficients. Systems of first order linear differential equations with constant coefficients, Laplace transforms and its applications to linear differential systems. Linear differential equations with variable coefficients, series solutions of second-order linear differential equations.

Introduction, samples, populations, and the role of probability. Sample mean, median, range and standard deviation. Graphical plots. Probability, sample space, events, Venn diagram, multiplication rule, permutation, and combination. Probability of an event, conditional probability, Bayes’ rule. Discrete and continuous data. Random variables, discrete and continuous probability distributions, joint probability distributions. Mathematical expectations. Mean, variance, covariance and correlation of random variables. Some continuous and discrete probability distributions. Normal distribution, area under the Normal Curve and its applications. Fundamental sampling distributions, central limit theorem. Estimation. Maximum likelihood estimation. Testing a statistical hypothesis. Simple linear regression and correlation coefficient.

Structural systems, loads, assumptions and idealizations of structural analyses, support reactions, internal forces, equilibrium equations, calculation of the static loads of plane statically determinate systems, diagrams of internal forces, plane systems, simple beam, cantilever beam, continuous beams, frames and arches, trusses, statically Indeterminate systems and solution methods, temperature effects and support movements, influence lines.