5125 Analytical Chemistry
2nd Semester CHE
ECTS : 5
Language : el
Learning Outcomes : Upon successful completion of the course, the student will be able to: • distinguish the main methods of classical chemical analysis and describe their basic characteristics. • propose an appropriate sampling/sample preparation method, as well as a classical analysis method depending on the existing analytical problem. • calculate the quantity of chemical species in a sample based on the quantitative information (volume of standard reagent solution consumed/amount of precipitate formed) of classical chemical analysis methods. • organize and execute simple laboratory techniques in an analytical/research laboratory. • receive measurements, evaluate them, statistically process them, and present the final result correctly.
5272 Thermodynamics I
2nd Semester CHE
ECTS : 6
Language : el
Learning Outcomes : Upon successful completion of the course, the student: • Possesses advanced knowledge in the field of Chemical Engineering Thermodynamics, which implies a critical understanding of its theory and basic principles and laws. • Can perform basic calculations of thermophysical properties of pure substances using the necessary computational tools. • Can perform energy and exergy calculations in chemical engineering processes. • Can analyze processes for their feasibility and optimal energy use. • Can perform calculations in power cycles and refrigeration cycles.
5267 Mathematics II (Linear Algebra)
2nd Semester CHE
ECTS : 5
Language : el
Learning Outcomes : Not provided.
The main object of the course is to understand the basic concepts of Linear Algebra and Analytical Geometry. Course Contents included: Vectors in space, coordinates and vector operations, inner product, outer product and mixed product of vectors. Line in space (vector equation, parametric equations, analytic equations), relative positions of lines. Plane in space (vector equation, parametric equations, analytic equation), relative positions of planes. Matrices, matrix operations, properties of operations and identities, inverse matrix. Determinants, properties of determinants, adjoint matrix, calculating the inverse matrix using determinants. Linear systems, scaling a matrix with elementary row-transformations and solving linear systems using the Gauss elimination method, calculating the inverse matrix using the Gauss-Jordan method, solving linear systems using the Cramer method. Vector spaces, vector subspaces, sum and intersection of subspaces, linear hulls, linear independence and dependence of vectors, basis and dimension, dimensions’ theorem. Inner product spaces, vector norm, Cauchy-Schwarz inequality, parallelogram rule. Gram-Schmidt orthonormalization, unitary matrices, QR factorization, least squares problem in a linear system, pseudoinverse matrix. Eigenvalues and eigenvectors of matrices, properties of eigenvalues and eigenvectors, characteristic polynomial. Diagonalization of a matrix, Cayley-Hamilton theorem, minimum polynomial. Diagonalization of symmetric real matrices, quadratic forms.
5002 Mathematics III (Functions of Multiple Variables)
2nd Semester CHE
ECTS : 5
Language : el
Learning Outcomes : Upon successful completion of the course, the student will be able to: • have understood the concepts of partial derivative and directional derivative. • be able to calculate partial derivatives of functions in implicit form. • be able to use the main differential operators. • be able to apply Differential Calculus methods to optimization problems. • have understood the concepts of double, triple, line, surface integral. • have understood the basic theorems of Vector Analysis. • be able to calculate the double/triple integral with appropriate selection of successive simple integrals. • be able to calculate the line integral of a vector field either directly, or by reducing it to a double integral via Green s theorem. • be able to calculate the surface integral either directly, or by reducing it to a triple integral via Gauss s theorem, or by reducing it to a line integral via Stokes theorem. • be able to correlate the above types of integrals with concepts of Physics. • be able to apply the above types of integrals to calculate values of physical quantities such as mass, moment of inertia, charge distribution, vector field flux. • understand the flexibility offered by the choice of the order of integration of variables and apply it to calculations of volumes of solids and areas of surfaces which are extremely difficult, if not impossible, through the traditional methods of Euclidean Geometry.
Differential calculus of functions of many variables (Implicit functions, extrema of functions). Integral calculus (double, triple, line, surface integrals). The theorems of Green, Gauss and Stokes. Applications to geometry and physics.
5026 Engineering Mechanics
2nd Semester CHE
ECTS : 4
Language : el
Learning Outcomes : Upon successful completion of the course, the student will be able to: • know how a structural member can be supported, describe its equilibrium equations, determine its internal forces, as well as the stresses and strains developed in it from various loads. • estimate and select the most appropriate method for solving a problem. • be able to use the techniques and methodologies learned to calculate the strength of the member for the various stresses it undergoes. • combine this knowledge to design and dimension a member so that its operation is safe. • be able to understand more complex problems concerning advanced materials with this knowledge.
5062 Physics II
2nd Semester CHE
ECTS : 5
Language : el
Learning Outcomes : Not provided.
The main objects of the course are: (a) Introduction to the basic laws of electric and magnetic fields (Coulomb, Gauss, Biot-Savart, Ampere, Faraday laws). (b) Introduction to electromagnetic waves. (c) Introduction to Optics, in particular the reflection, refraction and polarization of electromagnetic waves, Young’s experiment and the contribution and diffraction data. Along with teaching, the course includes laboratory training of the students, which aims to better consolidate phenomena developed in theory and to familiarize with basic laboratory methods of analyzing results. Units: Electric charge. Coulomb’s law. Electrostatic field. Gauss’s law. Electrostatic potential. Equations of Poisson and Laplace. Electrostatic energy. Conductors. Dielectrics. Polarization. Capacitance, capacitors. Moving charges, electric current, Ohm’s law. Magnetic field. Matter in electric and magnetic fields. Lorentz force. Laws of Ampere and Biot-Savart. Induction, Faraday’s law. Displacement current. Maxwell’s equations. Electromagnetic waves: propagation, polarization, interference, diffraction. Geometrical optics. Basic laws of optics: reflection, refraction. Lens, prism. Dispersion, optical spectrum. Optical instruments. Spectroscopes, spectrographs.
5071 English Language
2nd Semester CHE
Συνδιδασκαλία: 1576
ECTS : 0
Language : el, en
Learning Outcomes : Not provided.
The English language course aims at familiarizing students with language use in a variety of social contexts and communicative tasks (development of linguistic awareness). Practice activities involving a range of grammatical and syntactic structures, as well as understanding and production of both spoken and written language. The language level at the end of the semester is expected to be B2, as it is defined by the Common European Framework of Reference for Languages.