The aim of studying and bibliography

The main aim of study: Student after the course is able to formulate and solve the optimization problem, and interpret the correctness of the results.

The general information about the module: The module is realized in the second semester. The module includes 15 hours of lectures and 30 hours of laboratories. The module ends with an exam. During the course are presented informations from the field of mathematical optimization and its application to solve chemical processes and bioprocesses problems.

Bibliography required to complete the module

Bibliography used during lectures

1	J. Jeżowski, A. Jeżowska	Wprowadzenie do optymalizacji matematycznej w inżynierii chemicznej i procesowej	Oficyna Wydawnicza Politechniki Rzeszowskiej.	2011
2	J. Jeżowski, A. Jeżowska	Optymalizacja procesów i aparatów. Wybrane problemy z zakresu inżynierii chemicznej i procesowej	Oficyna Wydawnicza Politechniki Rzeszowskiej.	2011
3	J. Jeżowski, A. Jeżowska	Optymalizacja systemów procesowych	Oficyna Wydawnicza Politechniki Rzeszowskiej.	2011
4	R. Krupiczka, H. Merta	Optymalizacja procesowa	Wydawnictwo Politechniki Śląskiej, Gliwice .	1998
5	S. Sieniutycz	Optymalizacja w inżynierii procesowej	WNT, Warszawa.	1991

Bibliography used during classes/laboratories/others

1	J. Jeżowski, A. Jeżowska	Wprowadzenie do optymalizacji matematycznej w inżynierii chemicznej i procesowej	Oficyna Wydawnicza Politechniki Rzeszowskiej.	2011
2	J. Jeżowski, A. Jeżowska	Optymalizacja procesów i aparatów.	Oficyna Wydawnicza Politechniki Rzeszowskiej.	2011
3	J. Jeżowski, A. Jeżowska	Optymalizacja systemów procesowych	Oficyna Wydawnicza Politechniki Rzeszowskiej.	2011

Bibliography to self-study

1

T.F. Edgar, D.M. Himmelblau, L. Lasdon

Optimization of chemical processes

McGraw-Hill.

2001

Basic requirements in category knowledge/skills/social competences

Formal requirements: registration for the semester

Basic requirements in category knowledge: mathematics - the notion of derivative, knowledge of bioprocesses and chemical engineering processes

Basic requirements in category skills: computer skills at a basic level, the basics of Microsoft 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 of mathematical optimization.	lecture	written examination	K_W04++ K_U09+ K_U10+	P7S_UW P7S_WG
02	The Student can formulate a mathematical model of the process	lecture, problem laboratory, an individual project, the team project	report on the design, performance monitoring, oral speech	K_W05+ K_U10++ K_U16+	P7S_UW P7S_WG
03	The Student can correctly resolve the proposed by itself problem	problem laboratory, an individual project, the team project	sprawozdanie z projektu, obserwacja wykonawstwa, referat ustny	K_W04+ K_U09++ K_U10++ K_U16+	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 in biotechnology.	W01, L02	MEK01 MEK02
2	TK02	Formulation of optimization problems. Mathematical models of processes and apparatus, identification of the parameters of the models.	W01-W02, L01-L04	MEK02
2	TK03	Mathematical optimization of functions of several variables without restrictions. Numerical optimization of functions of one variable without restriction.	W03, L03-L10	MEK01
2	TK04	Mathematical optimization of functions of several variables with equality and inequality constraints.	W04, W05, L04-L10	MEK01 MEK03
2	TK05	Linear programming.	W06, L06-L11	MEK01 MEK03
2	TK06	Selected problems of nonlinear programming.	W07, W08, L07-L10	MEK01 MEK03
2	TK07	Fundamentals of mathematical programming with discrete variables.	W09, L12	MEK01 MEK03
2	TK08	The selected stochastic mathematical optimization methods.	W10, L11	MEK01 MEK03
2	TK09	Formulation of optimization mathematical examples.	W01-W14, L01-L14	MEK02
2	TK10	The rules of using a computer program supporting mathematical optimization.	W03, L01-L14	MEK02 MEK03
2	TK11	Formulation of optimization problems in the field of biotechnology and their solution by known programs.	L09-L15	MEK01 MEK02 MEK03

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: 9.00 hours/sem.	contact hours: 15.00 hours/sem.	complementing/reading through notes: 4.00 hours/sem. Studying the recommended bibliography: 5.00 hours/sem.
Laboratory (sem. 2)	The preparation for a Laboratory: 15.00 hours/sem. Others: 4.00 hours/sem.	contact hours: 30.00 hours/sem.	Finishing/Making the report: 4.00 hours/sem. Others: 5.00 hours/sem.
Advice (sem. 2)	The preparation for Advice: 3.00 hours/sem.	The participation in Advice: 5.00 hours/sem.
Exam (sem. 2)	The preparation for an Exam: 10.00 hours/sem.	The written exam: 2.00 hours/sem. Others: 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 examination - OW
Laboratory	The formulation of the problem, solve it and present the results as a report and an oral description - OL
The final grade	Final mark (FM): FM = 0.5*w*OW+0.5*w*OL where: 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