Course Descriptions

Engineering profession and its disciplines. Engineering education. Mechanical Engineering program at Işık University. Engineering ethics. Design in Engineering. Communication in engineering. Future of Mecahanical Engineering profession.

To introduce traditional and modern engineering drawing and their applications by using an advanced computer aided drawing tool (software).

Introduction to computers, computer programs and the Matlab language, identifiers, variables, assignment statements, data types, selections, loops, methods.

Critical thinking and logical argumentation. Academic research. Annotations, citations, quotations. Identification of arguments, reasoning, logical cohesion. Debates. Evaluative summary. Interview.

Functions of several variables. Limits and continuity. Partial derivatives. Chain rule for partial derivatives. Directional derivatives. Local maxima and minima. Lagrange multipliers. Taylor’s formula. Double integrals in Cartesian and polar coordinates. Triple integrals in Cartesian, cylindrical and spherical coordinates. Line integrals. Green’s theorem. Surface integrals. Stokes’ theorem. Divergence theorem.

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.

Microstructural examination of metals, tensile tests, and hardness tests, impact tests, Jominy hardenabity test and other experiments with equipment to be taken to the laboratory.

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 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.

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