Course Descriptions

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.

Data description. Text analysis. Summary and paraphrase of simplified research articles and data charts. IMRAD Summary. Critical thinking and logical argumentation skills to express an informed opinion. Presentation of information to an audience in an academic setting.

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).

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

Introduction to basic IT theory and terminology. Basic skills in a word processor programs, such as MS Word to create documents, format text, apply styles. Basic skills in a spreadsheet program, such as MS Excel, to create and format spreadsheets, including the use of mathematical formulas and to summarize given data in the form of graphics.

Electrical circuits. Kirchhoff’s laws and circuit components. Electrical power and energy. Resistive circuit analysis. Solutions of first and second order dynamic circuits. Sinusoidal steady-state analysis of circuits. Complex active and reactive powers. Three-phase circuits. Operational amplifiers. Semiconductor elements: Diodes and transistors. Amplifier circuits.

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.