Course Descriptions

Basic definitions of the theory of differential equations. First order differential equations. Integration factor method. Separable equations. Homogenous equations. Bernoulli equation. Second order linear differential equations with constant coefficients. Systems of first order linear differential equations with constant coefficients. Laplace transforms. Applications of Laplace transform to linear differential equations with constant coefficients. Convolution. Linear differential equations with variable coefficients. Euler equation. Ordinary and singular points. Series solutions of second-order linear differential equations.

Introduction to statistics. Sample mean, median and standard deviation. Graphical plots. Probability. Multiplication rule. Permutation and combination. Conditional probability and Bayes’ rule. Random variables. Discrete and continuous probability distributions. Joint probability distributions. Mathematical expectation. Mean, variance, covariance and correlation coefficient of random variables. Some continuous and discrete probability distributions. Normal distribution. Fundamental sampling distributions. Sampling distribution of mean. Interval estimation of mean. Testing a statistical hypothesis. Simple linear regression and correlation.

Engineering materials and their properties. Crystal structures and defects. Solid state diffusion. Elastic and plastic deformation of materials. Phase concept and phase diagrams. Fe-C phase diagram. Phase transformations and TTT Diagrams. Basic heat treatments. Engineering materials: metals, polymers, ceramics and composites. Principles of corrosion and protection. Basics of the conventional manufacturing processes for metals: casting, metal forming, machining, welding and powder metallurgy. Production reporting.

Why teach chemistry to engineers? Matter-Its properties and measurement. Uncertainty and significant figures. Atoms and atomic theory. Atomic mass and mole concept. Chemical compounds. Molecular and ionic compounds. Oxidation states. Chemical reactions. Stoichiometry. Chemical reactions in solutions. Limiting reactant. Introduction to reactions in aqueous solutions. Precipitation, acid-base, and oxidation-reduction reactions. Titrations. Gases and gas laws. Ideal gas equation. Gases in reactions. Mixtures of gases. Kinetic molecular theory. Heat. Work. Internal Energy. Enthalpy. Electrons in atoms. Electromagnetic radiation. Atomic spectra. Quantum theory. Electron configurations. The periodic table and some atomic properties.

Resources and scarcity; supply and demand; the mixed economy; market structure; national income, business cycles, unemployment and inflation; economic growth and productivity; money, banking and monetary policy; international trade and finance

Introduction to MATLAB. MATLAB environment and working principle. Functions and applications. Matrices and solution methods. Graphical solutions. User-defined functions. User controlled input-outputs. Logic functions. Calculations based on matrices. Advanced graphical methods. Numerical methods; numerical diffrenciation and integration, numerical solving linear and non-linear equations. Symbolic mathematics.

Fundamental engineering measurements. Sensors and instrumentation. Uncertainty analysis and assessment of results statistically. Presentation of results and reporting

Introduction to system modeling, system response and control. Laplace Transform. Transfer functions and block diagrams. Basic automatic controllers. Modeling of mechanical electrical and electronic systems. System response analysis. Routh stability criteria. Feedback control systems. System types. Principles of controller design. Root-Locus analysis. Frequency response analysis.

Principles of solid mechanics, vectors, forces, equilibrium, structural analysis, internal loadings, kinematics of a particle, planar kinematics of a particle, planar kinematics of a rigid body.

It is realized in an industrial corporation which conducts mechatronics 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.