Course Descriptions

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.

Principles of statics, vectors, force and moment vectors, equilibrium of a rigid body, free body diagrams, friction, structural analysis, trusses and simple machines, geometric properties, distributed loadings, center of gravity, moment of inertia, internal loadings, shear and moment diagrams, stress, strain, factor of safety and basic strength calculations.

Explanation of communication, explanation of language and its relationship with the thinking proces, culture, society and literature; written and oral communication; main characterisrics of the Turkish language; phrases and types of narration; expressional failure.

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.

Basic topics in probability, probability axioms, sample space, conditional probability, counting methods, discrete random variables, probability mass function, families of discrete random variables, expectations, function of a random variable, variance and standard deviation, continuous random variables, distribution function, probability density function, expected values, families of continuous random variables, the normal distribution, pairs of random variables, joint distribution function, marginals, joint probability function, functions of two random variables, variance, covariance and correlation concepts.

Kinematics of a particle, introduction to dynamics, rectilinear motion, curvilinear motion, force, acceleration, work, energy, impulse, momentum, planar Kinematics of a rigid body, moments of inertia, ad angular acceleration, rigid body translation: force and acceleration, work, energy, mechanical vibrations, damped and undamped vibrations

It is realized in an industrial corporation which conducts mechanical engineering applications like “manufacturing and assembly processes” in its structure for minimum 20 workdays during summer vacation. Students report the activities performed in corporation according to a format determined by Mechanical Engineering Department. The language of the report is Turkish. Foreign students and/or the activities performed abroad, the language of training report is English. This is a Pass/Fail type of activity and students will not be given a letter grade.