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.

This is a calculus based introductory physics course on electricity and magnetism. By the end of the course, students should; 1. demonstrate a knowledge of the fundamental physical laws of electricity and magnetism. 2. apply the fundemental laws of electricity and magnetism to solve various practical problems. 3. recognize how physics is relevant to the world around them.

Physics – Electricity and Magnetism Laboratory is a laboratory course which accompanies PHYS1112. By the end of the course, students should; • devise how to experimentally test the physical laws of electricity and magnetism. • recognize how the fundamental physical laws of electricity and magnetism can be applied to various practical problems. • develop an understanding of how to report the results of scientific research. • recognize how physics is relevant to the world around them.

Description of atomic structure. Types of atomic bonding and their characteristics properties. Atomic arrangement and crystal structure. Crystallographic planes and directions in the unit cell. Linear and planar atomic density, atomic packaging factor. Mechanical and physical properties of materials. Metals. Plastics. Lime. Gypsum. Pozzolan. Portland cement. Properties of aggregates. Fresh and hardened concrete properties. Concrete mixture design. Production and curing. Exposure classes.

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.

Introduction to earthworks. Volumes of fills and cuts. Mass diagram. Optimization of earth moving. Excavation methods and machines. Excavators and dampers. Introduction to railroad engineering. Train dynamics. Geometric standards of track. Gradients, curves, transition curves, location of track, superstructure elements and materials. Layout of track.

Introduction. Soil as a three phase material. Grain size distributions (mechanical and hydrometer). Atterberg limits and index properties of soils. Classification of soils (USCS). Soil compaction. Capillarity effects in soils. Hydraulic conductivity. Darcy’s equation. Seepage. Laplace equation and flow nets. Pore water pressure and effective stress. Strength characteristics of soils. Mohr’s circle. Consolidation. Terzaghi’s theory of 1D consolidation. Slope stability.

It is realized in a construction site which conducts civil engineering applications for minimum 20 workdays during summer vacation. Students report the activities performed in site according to a format determined by Civil 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.

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.

Concrete Producing materials. Mix design, placing and curing of concrete. Reinforced concrete. Flexure in beams. Shear and diagonal tension in beams. Torsion. Serviceability. Continuous reinforced concrete structures and equivalent frame method of analysis. Design of two-way slabs and plates. Footings. Design of columns and walls. Design of earth retaining structures. Analysis methods. Introduction to prestressed concrete.