Μαθήματα
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ΜάθημαΠρόσβαση
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Applied Mathematics for Chemical and Environmental Engineers (ΑΒ - 308)Nikolaos Diangelakis
Applied Mathematics for Chemical and Environmental Engineers
ΑΒ - 308 - Nikolaos Diangelakis
This is an introductory graduate course on the topics: ordinary and partial differential equations, signals and systems, Laplace and Fourier transforms, knowledge necessary to a Chemical and Environmental engineer.
Using this knowledge he/she can solve, by constructing mathematical models, real life process systems and environmental problems. During the lectures, the analytical theory (in each one of the subjects) is given and mathematical models/scenarios for environmental problems are being constructed.
MATLAB/SimuLink software is also being introduced and implemented.
1st Week: Ordinary differential equations. Initial value problems. O.D.E.s of first and second order.
2nd Week: Applications of O.D.E.’s to population models, exponential decay, mixing, law of cooling. Introduction to Partial Differential Equations.
3rd Week: Introduction to the Laplace transform with applications.
4th Week: Signals and systems theory
5th Week: Laplace transformation of O.D.E.s - Extensions to Fourier transformation.
6th Week: Standard signals and responses to first-order systems
7th Week: The transfer function as a tool for systems dynamics analysis
8th Week: Linearisation of non-linear problems
9th Week: Extensions to discrete systems and time series
10th Week: Extensions to discrete systems and time series (cont'd)
11th Week: The state-space representation for systems of O.D.E.s
12th Week: The discrete state-space representation for systems of time series
13th Week: Examples, exercises and recap -
Applied Mathematics for Chemical and Environmental Engineers (SECC103)Tryfon Daras
Applied Mathematics for Chemical and Environmental Engineers
SECC103 - Tryfon Daras
This is an introductory graduate course on the topics: ordinary and partial differential equations, Laplace and Fourier transforms, applications of o.d.es, estimation theory, hypothesis testing, simple and multiple linear regression, chi-square goodness of fit and independence, applications of Statistics, time series (decomposition and smoothing, applications of time series to forecasting knowledge necessary to an Environmental engineer.
Using this knowledge the student can solve, by constructing mathematical models, real life environmental problems. During the lectures, the analytical theory (in each one of the subjects) is given and mathematical models/scenarios for environmental problems are being constructed.
SPSS, MINITAB, MATLAB software are also being introduced and implemented.
The goals are:
- the study of different areas of Mathematics (O.D.E., Statistics, Time series) for (real life) problem solving
- the understanding of the difference between approximation/estimation and analytical methods,
- the familiarization of the students with specialized software programs and the use of these programs in solving real problems (scenarios).
Course type: Semester-Long CourseDuration: 13 weeksInstructor(s): Tryfon DarasUniversity offering the course: Technical University of CreteSemester: Fall/WinterLanguage: English -
Climate Change and greenhouse gas emissions (BEKA 300)ΜΙΧΑΛΗΣ ΛΑΖΑΡΙΔΗΣ, ΑΠΟΣΤΟΛΟΣ ΒΟΥΛΓΑΡΑΚΗΣ
Climate Change and greenhouse gas emissions
BEKA 300 - ΜΙΧΑΛΗΣ ΛΑΖΑΡΙΔΗΣ, ΑΠΟΣΤΟΛΟΣ ΒΟΥΛΓΑΡΑΚΗΣ
Το μάθημα στοχεύει στην ανάλυση και σχεδιασμό κριτηρίων για την εφαρμογή περιοριστικών μέτρων για τις εκπομπές αερίων του θερμοκηπίου στην ατμόσφαιρα. Γίνεται υπολογισμός των εκπομπών αερίων του θερμοκηπίου από ανθρωπογενείς κυρίως πηγές αλλά και από φυσικές πηγές. Μελετώνται αέριοι ρύποι και αιωρούμενα σωματίδια καθώς και μαθηματικά μοντέλα για διασπορά ρύπων στην ατμόσφαιρα καθώς και κλιματικά μοντέλα. Εξετάζεται επίσης το ενεργειακό ισοζύγιο της Γης με τη χρήση μοντέλων. Επιπρόσθετα, το μάθημα περιλαμβάνει την εκτέλεση εργαστηριακών ασκήσεων.
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Conventional Water and Wastewater Treatement (A-105)Πέτρος Γκίκας
Conventional Water and Wastewater Treatement
A-105 - Πέτρος Γκίκας
Το μάθημα στοχεύει στην ανάλυση και σχεδιασμό των βασικών διεργασιών που χρησιμοποιούνται για την επεξεργασία των υγρών αστικών αποβλήτων.
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Design of Sustainable Energy & Mobility Systems (Β-201 COMPULSORY)Professor Theocharis Tsoutsos—
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Environment & Public Health (ΑB-302)Danae Venieri—
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Multivariable Statistics (ΠΜΠ 728)ΤΡΥΦΩΝΑΣ ΔΑΡΑΣ
Multivariable Statistics
ΠΜΠ 728 - ΤΡΥΦΩΝΑΣ ΔΑΡΑΣ
Multivariable statistics is a branch of statistics that analyzes data with more than two variables simultaneously to identify and clarify the relationships and patterns among them. It uses a variety of techniques, such as regression, factor analysis, and correlation, to understand how multiple variables interact and influence each other, providing a more comprehensive view than analyzing variables one by one.Key concepts-
Simultaneous analysis:Unlike univariate (one variable) or bivariate (two variables) analysis, multivariable methods look at multiple variables at once to see how they work together.
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Dependency vs. Interdependence:
- Dependence techniques: These are used when you have one or more dependent variables and want to predict them using independent variables (e.g., multiple linear regression).
- Interdependence techniques: These are used when you treat all variables as equal and want to find underlying relationships among them, without making a distinction between dependent and independent variables (e.g., factor analysis).
- Dependence techniques: These are used when you have one or more dependent variables and want to predict them using independent variables (e.g., multiple linear regression).
Common techniques-
Predicts a single numerical dependent variable using multiple numerical independent variables.
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Used for a dependent variable that is dichotomous (e.g., yes/no, true/false).
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Reduces a large number of variables into a smaller set of underlying factors by combining correlated variables.
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An extension of ANOVA that includes a continuous independent variable (covariate) to control for its effect.
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Derives a new set of variables (principal components) that are linear combinations of the original variables, with each component capturing a different amount of variance in the data.
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Measures the strength and direction of the relationship between two or more variables.
Why use multivariable statistics?-
More realistic models:Many real-world situations involve multiple influencing factors, and multivariable statistics allows for more realistic modeling of these complex relationships.
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Comprehensive insights:It provides a more complete understanding of how variables interact, which can be missed when analyzing them in isolation.
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Controlling for confounding factors:It allows you to "control for" the effect of other variables to see the relationship between specific variables more clearly, as seen in ANCOVA.
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Handling complex data:It is essential for fields like medicine, where multiple outcome measurements are often taken on the same individuals, or in business, where various customer behaviors might be analyzed togethe
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Research Lectures (ΚΟΡΜ 04)Stelios Rozakis & Dimitris Gournis
Research Lectures
ΚΟΡΜ 04 - Stelios Rozakis & Dimitris Gournis
Research Lectures (Postgraduate Studies Programme in Sustainable Engineering & Climate Change)
[in greek below]
Aim and Methodology
Under the frame of the Postgraduate Studies Programme of the School of Chemical and Environmental Engineering in TUC, Postgraduate and Ph.D. Students of the PSP can attend research lectures/seminars delivered by members of the School (Faculty members, Ph.D. candidates and researchers) and/or invited Experts from other Universities & Research Centers in Greece and abroad, as well as from public or private institutions. Each seminar will focus on one research and/or practical topic of the expertise of the Speaker who is expected to present the approach followed (description and difficulties, addressing methodologies, results and future studies, etc).
This course aims at the dissemination of knowledge of scientific research in the field of Sustainable Engineering Science and at familiarizing the postgraduate Students to the challenges and methods of research endeavor. Based on these, the main targets of the course are:
- Presentation and dissemination of research results on cutting-edge topics.
- Support the postgraduate Students in the process of implementing their research and completing their master thesis.
- Update of postgraduate Students on the research activities of the School of Environmental Engineering and their activation in order to enable their potential involvement in projects with an innovative research nature and continuing their doctoral studies.
Attending lectures (approximately 10 hourly lectures per semester) is mandatory, for those semesters specified by the curricula for the postgraduate and Ph.D Students of the School, while all lectures are open to the academic community.
New Students should be registered in the webpage of the course in or der to receive updates.
See "Announcements" & "Documents" for information on this address: https://www.eclass.tuc.gr/courses/MHPER245/as well as by the coordinators of the course:
Stelios Rozakis, Professor TUC srozakis@tuc.gr
Dimitris Gournis, Professor TUC dgournis@tuc.gr
Ερευνητικές διαλέξεις του ΠΜΣ της Σχολής ΧηΜηΠερ
[english above]Στόχοι και Μεθοδολογία
Στο πλαίσιο του ΠΜΣ της Σχολής ΧηΜηΠερ του Πολ. Κρήτης οι μεταπτυχιακοί και διδακτορικοί φοιτητές του ΠΜΣ έχουν τη δυνατότητα να παρακολουθούν ερευνητικές διαλέξεις/σεμινάρια ερευνητικού περιεχομένου από μέλη της Σχολής (μέλη ΔΕΠ, υποψήφιους διδάκτορες και συνεργάτες) ή/και προσκεκλημένους ειδικούς από άλλα Πανεπιστήμια & ερευνητικά κέντρα της Ελλάδας και του εξωτερικού, καθώς και από δημόσιους & ιδιωτικούς φορείς. Κάθε σεμινάριο θα εστιάζει σε ένα ερευνητικό ή/και πρακτικό θέμα στην περιοχή εξειδίκευσης του ομιλητή και θα παρουσιάζεται η προσέγγιση που ακολουθήθηκε (περιγραφή και δυσκολίες, μεθοδολογίες αντιμετώπισης, αποτελέσματα και μελλοντική διερεύνηση, κλπ).
Το μάθημα στοχεύει στη διάχυση της γνώσης της επιστημονικής έρευνας στο χώρο της Επιστήμης της Περιβαλλοντικής Μηχανικής και αποσκοπεί στην εξοικείωση των μεταπτυχιακών φοιτητών του ΠΜΣ στις προκλήσεις και στις μεθόδους της ερευνητικής διαδικασίας. Υπό αυτό το πρίσμα οι βασικοί στόχοι του μαθήματος είναι:
- Παρουσίαση και διάχυση ερευνητικών αποτελεσμάτων σε θέματα αιχμής.
- Υποστήριξη των μεταπτυχιακών φοιτητών του ΠΜΣ στη διαδικασία εκπόνησης της έρευνας τους και την ολοκλήρωση των μεταπτυχιακών διατριβών τους.
- Ενημέρωση των φοιτητών του ΠΜΣ για τις ερευνητικές δραστηριότητες της Σχολής ΜηΠερ και ενεργοποίηση τους με στόχο την ενδεχόμενη εμπλοκή τους σε έργα με καινοτόμο ερευνητικό χαρακτήρα και τη συνέχιση των σπουδών τους σε διδακτορικό επίπεδο.
Η παρακολούθηση των διαλέξεων (δέκα ωριαίες σε κάθε εξάμηνο) είναι υποχρεωτική, για όσα εξάμηνα ορίζει ο κανονισμός σπουδών για τους μεταπτυχιακούς και τους διδακτορικούς φοιτητές της Σχολής Μηπερ, ενώ είναι ανοικτές για όλη την πολυτεχνειακή κοινότητα.
Οι νέοι φοιτητές καλό είναι να εγγράφονται στον ιστότοπο των διαλέξεων για να λαμβάνουν σχετικές ενημερώσεις.
Δείτε "Ανακοινώσεις" & "Έγγραφα" για πληροφορίες στον ιστότοπο: https://www.eclass.tuc.gr/courses/MHPER245/καθώς και από τον συντονιστή των ερευνητικών διαλέξεων του ΠΜΣ της Σχολής Μηπερ:
Στέλιος Ροζάκης, Δημήτρης Γουρνής
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SOLID AND TOXIC WASTE MANAGEMENT (Β 202)Apostolos Giannis—