The aim of studying and bibliography

The main aim of study: The student who completed the module is aware of the importance of process safety, can define and describe it mathematically, as well as design an apparatus or process in such a way that it is safe in accordance with the adopted standards. Additionally, the student knows the basics of mathematical optimization and knows how to apply them to formulate and solve a problem not only in the field of process safety.

The general information about the module: The module is implemented in the second semester of the second cycle of studies. It includes 30 hours of lecture and 30 hours of project. The module ends with a credit. The course presents information in the field of optimization, process safety, methods of its evaluation and methods of mathematical description necessary to design optimal apparatus and industrial processes.

Teaching materials: Książki "Analiza ryzyka w przemyśle chemicznym, podręcznik dla studentów", "Optymalizacja w inżynierii procesowej" oraz "Optimization of chemical processes" są dostępne u prowadzącego przedmiot.

Bibliography required to complete the module

Bibliography used during lectures

1	Piotr Tomasz Mitkowski	Analiza ryzyka w przemyśle chemicznym, podręcznik dla studentów	Wydawnictwo Politechniki Poznańskiej, ISBN: 978‐83‐7775‐202‐9.	2012
2	Aleksander Pabiś	Bezpieczeństwo procesowe cz.1. Bezpieczeństwo chemiczne	Wydawnictwo Politechniki Krakowskiej.	2018
3	J. Jeżowski, A. Jeżowska	Wprowadzenie do optymalizacji matematycznej w inżynierii chemicznej i procesowej	Oficyna Wydawnicza Politechniki Rzeszowskiej.	2011
4	J. Jeżowski, A. Jeżowska	Optymalizacja procesów i aparatów. Wybrane problemy z zakresu inżynierii chemicznej i procesowej	Oficyna Wydawnicza Politechniki Rzeszowskiej.	2011
5	R. Krupiczka, H. Merta	Optymalizacja Procesowa	Wydawnictwo Politechniki Śląskiej, Gliwice .	1998

Bibliography used during classes/laboratories/others

1	Piotr Tomasz Mitkowski	Analiza ryzyka w przemyśle chemicznym, podręcznik dla studentów	Wydawnictwo Politechniki Poznańskiej, ISBN: 978‐83‐7775‐202‐9.	2012
2	T.F. Edgar, D.M. Himmelblau, L. Lasdon	Optimization of chemical processes	McGraw-Hill.	2001

Bibliography to self-study

1

J. Jeżowski, A. Jeżowska

Optymalizacja systemów procesowych

Oficyna Wydawnicza Politechniki Rzeszowskiej.

2011

Basic requirements in category knowledge/skills/social competences

Formal requirements: Promotion to the second semester of second-cycle studies

Basic requirements in category knowledge: knowledge of: chemical engineering processes, mechanical processes and apparatus, concepts and applications of the derivative of a function

Basic requirements in category skills: basic computer skills, ability to use MS Excel

Basic requirements in category social competences: ability to solve problems independently and in team

Module outcomes

MEK	The student who completed the module	Types of classes / teaching methods leading to achieving a given outcome of teaching	Methods of verifying every mentioned outcome of teaching	Relationships with KEK	Relationships with PRK
01	The student knows the basic concepts and methods of analysis in the field of process safety.	lecture	final written test	K_W05+ K_U09++ K_K01+	P7S_KK P7S_UO P7S_UW P7S_WG
02	The student is able to analyze the problem and find a potential cause of failure.	problem lecture, didactic discussion, implementation of the assigned task	project report	K_U09++ K_K01+	P7S_KK P7S_UO P7S_UW
03	Student is able to describe the problem and dangers related to failure in a quantitative way.	lecture, problem lecture, team project	project presentation	K_W02+ K_U09+	P7S_UO P7S_UW P7S_WG
04	The student is able to assess the risk and consequences of failure of various types.	lecture, problem lecture, team project	final written test, project report	K_W05+ K_W12+ K_K01+	P7S_KK P7S_WG
05	The student knows the basic concepts of mathematical optimization.	lecture	written examination	K_W02+++ K_W12++ K_K01+	P7S_KK P7S_WG
06	The student is able to understand the problem, find data and constraints and choose the right method of its solution.	problem laboratory, individual or team project	report on the design, performance monitoring, oral speech	K_W02+ K_U09+++	P7S_UO P7S_UW P7S_WG
07	The student is able to formulate an optimization problem in a mathematical form, enter it into a computer program and solve it.	problem laboratory	observation of performance	K_W02++ K_U07+++	P7S_UW P7S_WG

Attention: Depending on the epidemic situation, verification of the achieved learning outcomes specified in the study program, in particular credits and examinations at the end of specific classes, can be implemented remotely (real-time meetings).

The syllabus of the module

Sem.	TK	The content	realized in	MEK
2	TK01	Optimality criteria	W01, W02, P01-P24	MEK05 MEK07
2	TK02	Formulation of mathematical optimization tasks for industrial cases. Mathematical models of chemical processes, apparatus and logistic processes, identification of model parameters.	W03-W06, P03-P10	MEK06 MEK07
2	TK03	Mathematical optimization of functions of several variables without restrictions. Numerical optimization of functions of one variable without restriction.	W04, W05, P01-P04	MEK05 MEK06 MEK07
2	TK04	Mathematical optimization of functions of several variables with equality and inequality constraints.	W05, W06, P03-P08	MEK05 MEK07
2	TK05	Options and settings for mathematical optimization methods.	W07, W08	MEK07
2	TK06	Selected problems of nonlinear programming.	W03, W09-W12, P04, P10-P14	MEK05 MEK06
2	TK07	Linear programming.	W04, W13, P01-P08	MEK05 MEK06 MEK07
2	TK08	Fundamentals of mathematical programming with binary, integer and discrete variables.	W05, W13-W15, P05, P10-P16	MEK05 MEK07
2	TK09	The selected stochastic mathematical optimization methods.	W09-W11	MEK05 MEK07
2	TK10	Examples of formulating mathematical optimization models.	W01-W28, P01-P24	MEK06 MEK07
2	TK11	Basic terminology and applicable legal regulations in the field of process safety	W16-W18	MEK01
2	TK12	Impact of chemicals hazards on the human body and the environment.	W19-W20	MEK03 MEK04
2	TK13	Mathematical description of selected types of failure	W21-W24, P09-P18	MEK03
2	TK14	Models for dispersing substances	W24-W27, P19-P22	MEK01 MEK03 MEK04
2	TK15	Failure risk analysis methods	W27-W30,P23-P24	MEK02 MEK04
2	TK16	Formulating, solving, analyzing the results and preparing a report on the final project.	P25-P30	MEK03 MEK04 MEK06 MEK07

The student's effort

The type of classes	The work before classes	The participation in classes	The work after classes
Lecture (sem. 2)	The preparation for a test: 10.00 hours/sem.	contact hours: 30.00 hours/sem.	complementing/reading through notes: 4.00 hours/sem. Studying the recommended bibliography: 4.00 hours/sem.
Project/Seminar (sem. 2)	The preparation for projects/seminars: 2.00 hours/sem. Others: 2.00 hours/sem.	contact hours: 30.00 hours/sem..	Doing the project/report/ Keeping records: 7.00 hours/sem. The preparation for the presentation: 2.00 hours/sem. Others: 3.00 hours/sem.
Advice (sem. 2)	The preparation for Advice: 1.00 hours/sem.	The participation in Advice: 2.00 hours/sem.
Credit (sem. 2)	The preparation for a Credit: 5.00 hours/sem.	The written credit: 1.00 hours/sem.

The way of giving the component module grades and the final grade

The type of classes	The way of giving the final grade
Lecture	Written test - OW
Project/Seminar	Project problem formulation and analysis, solving it and presenting the results in the form of a report and oral description - OP
The final grade	Final mark (FM): FM = 0.4*w*OW+0.6*w*OP w - a factor related to the term credit or examination, w = 1,0 the first term,w = 0,9 the second term, w = 0,8 a third term. While rounding average, the following rules are apply: to 3,30 – dst (3,0); 3,31 - 3,75 – +dst (3,5); 3,76 - 4,25 – db (4,0); 4,26 - 4,70 – +db (4,5); from 4,71 – bdb (5,0).

Sample problems

Required during the exam/when receiving the credit
(-)

Realized during classes/laboratories/projects
(-)

Others
(-)

Can a student use any teaching aids during the exam/when receiving the credit : no

The contents of the module are associated with the research profile: yes

1

D. Foo; G. Poplewski

An extended corner point method for the synthesis of flexible water network

2021