Zachodniopomorski Uniwersytet Technologiczny w Szczecinie

Administracja Centralna Uczelni - Wymiana międzynarodowa (S2)

Sylabus przedmiotu Practical Methods of Optimization:

Informacje podstawowe

Kierunek studiów Wymiana międzynarodowa
Forma studiów studia stacjonarne Poziom drugiego stopnia
Tytuł zawodowy absolwenta
Obszary studiów
Profil
Moduł
Przedmiot Practical Methods of Optimization
Specjalność przedmiot wspólny
Jednostka prowadząca Katedra Mechaniki Konstrukcji
Nauczyciel odpowiedzialny Zbigniew Sekulski <Zbigniew.Sekulski@zut.edu.pl>
Inni nauczyciele
ECTS (planowane) 6,0 ECTS (formy) 6,0
Forma zaliczenia zaliczenie Język angielski
Blok obieralny Grupa obieralna

Formy dydaktyczne

Forma dydaktycznaKODSemestrGodzinyECTSWagaZaliczenie
wykładyW1 30 2,50,40zaliczenie
ćwiczenia audytoryjneA1 30 3,50,60zaliczenie

Wymagania wstępne

KODWymaganie wstępne
W-1Linear algebra, differential calculations.

Cele przedmiotu

KODCel modułu/przedmiotu
C-1To learn basic concepts of continuous optimization.

Treści programowe z podziałem na formy zajęć

KODTreść programowaGodziny
ćwiczenia audytoryjne
T-A-1Solving some practical examples of unconstrained and constrained optimisation problems.28
T-A-2Skills evaluation.2
30
wykłady
T-W-1Introduction: what is optimization problem?2
T-W-2Definition of mathematical formulation of continuous optimization (necessary and sufficient conditions of local optimality, concept of matrix positive definition, convex and concave functions).2
T-W-3General formulation of optimization problem.2
T-W-4Review and discussion of optimization problems.2
T-W-5General formulation of optimization algorithm.2
T-W-6Review and discussion of classical optimization algorithms.2
T-W-7Detailed formulation of selected representative optimization algorithms classified by the extent of information they require (nonderivative methods, gradient methods, Newton-Raphson methods).8
T-W-8Constraints in optimization problems.2
T-W-9Optimization methods of constrained problems (Kuhn-Tucker conditions, Lagrange multipliers method, penalty function methods).6
T-W-10Evaluation of knowledge.2
30

Obciążenie pracą studenta - formy aktywności

KODForma aktywnościGodziny
ćwiczenia audytoryjne
A-A-1Class participation and active engagement for developing and refining students ability to critically and productively engage with the subjects being studied.30
A-A-2Preparation of homeworks.47
A-A-3Preparation to skills evaluation.10
87
wykłady
A-W-1Participation in classes.30
A-W-2Self study.23
A-W-3Preparation to knowledge evaluation.10
63

Metody nauczania / narzędzia dydaktyczne

KODMetoda nauczania / narzędzie dydaktyczne
M-1Lectures
M-2Exercises

Sposoby oceny

KODSposób oceny
S-1Ocena podsumowująca: Students will be expected to complete written tests, projects and homework assignments as specified by the teacher.
S-2Ocena formująca: Student attendance and participation in class sessions play a vital role in successful course completion.

Zamierzone efekty uczenia się - wiedza

Zamierzone efekty uczenia sięOdniesienie do efektów kształcenia dla kierunku studiówOdniesienie do efektów zdefiniowanych dla obszaru kształceniaCel przedmiotuTreści programoweMetody nauczaniaSposób oceny
WM-WTMiT_2-_null_W01
After this course, the student will be able to: (1) estimate the actual complexity of nonlinear optimization problems; (2) apply lower complexity bounds, which establish the limits of performance of optimization method; (3) explain the main principles for constructing the optimal methods for solving different types of optimization problems, (4) use the main problem classes (general nonlinear problems, smooth convex problems, nonsmooth convex problems, structural optimization); (5) understand the rate of convergence of the main optimization methods; (6) two testing computer projects give a possibility to compare the theoretical conclusions and predictions with real performance of minimization / maximization methods.
C-1T-W-3, T-W-6, T-W-7, T-W-5, T-W-2, T-W-1, T-W-8, T-W-9, T-W-4M-1S-2, S-1

Zamierzone efekty uczenia się - umiejętności

Zamierzone efekty uczenia sięOdniesienie do efektów kształcenia dla kierunku studiówOdniesienie do efektów zdefiniowanych dla obszaru kształceniaCel przedmiotuTreści programoweMetody nauczaniaSposób oceny
WM-WTMiT_2-_null_U01
The ability to use the acquired knowledge to solve practical problems.
C-1T-A-1M-2S-2, S-1

Zamierzone efekty uczenia się - inne kompetencje społeczne i personalne

Zamierzone efekty uczenia sięOdniesienie do efektów kształcenia dla kierunku studiówOdniesienie do efektów zdefiniowanych dla obszaru kształceniaCel przedmiotuTreści programoweMetody nauczaniaSposób oceny
WM-WTMiT_2-_null_K01
Improvement of social and personal competencies including self-awareness, self-management, social awareness, relationship skills, responsible decision-making and others. Encouraging dialogue and mutual respect between peoples of different nations, cultures and faiths.
C-1T-A-1, T-A-2M-2, M-1S-2, S-1

Kryterium oceny - wiedza

Efekt uczenia sięOcenaKryterium oceny
WM-WTMiT_2-_null_W01
After this course, the student will be able to: (1) estimate the actual complexity of nonlinear optimization problems; (2) apply lower complexity bounds, which establish the limits of performance of optimization method; (3) explain the main principles for constructing the optimal methods for solving different types of optimization problems, (4) use the main problem classes (general nonlinear problems, smooth convex problems, nonsmooth convex problems, structural optimization); (5) understand the rate of convergence of the main optimization methods; (6) two testing computer projects give a possibility to compare the theoretical conclusions and predictions with real performance of minimization / maximization methods.
2,0Failing. Students performing at this level demonstrate no evidence of the knowledge, skills, and practices embodied by the course assessed at their grade level. The range for the grade of 2.0 is from 0% to 50% of the total possible score (100%).
3,0Students performing at this level demonstrate a minimal command of the knowledge and/or skills embodied by the course assessed at their grade level. The range for the grade of 3.0 is from 51% to 60% of the total possible score (100%).
3,5Students performing at this level demonstrate a beginning command of the knowledge and/or skills embodied by the course assessed at their grade level. The range for the grade of 3.5 is from 61% to 70% of the total possible score (100%).
4,0Students performing at this level demonstrate a developing command of the knowledge, skills, and practices embodied by the course at their grade level. The range for the grade of 4.0 is from 71% to 80% of the total possible score (100%).
4,5Students performing at this level demonstrate a moderate command of the knowledge, skills, and practices embodied by the course. Students at this level are approaching the standards at their grade level. The range for the grade of 4.5 is from 81% to 90% of the total possible score (100%).
5,0Students performing at this level demonstrate a distinguished and strong command of the knowledge, skills, and practices embodied by the course. Students at this level are meeting or extending the standards at their grade level. The range for the grade of 5.0 is from 91% to 100% of the total possible score (100%).

Kryterium oceny - umiejętności

Efekt uczenia sięOcenaKryterium oceny
WM-WTMiT_2-_null_U01
The ability to use the acquired knowledge to solve practical problems.
2,0Failing. Students performing at this level demonstrate no evidence of the knowledge, skills, and practices embodied by the course assessed at their grade level. The range for the grade of 2.0 is from 0% to 50% of the total possible score (100%).
3,0Students performing at this level demonstrate a minimal command of the knowledge and/or skills embodied by the course assessed at their grade level. The range for the grade of 3.0 is from 51% to 60% of the total possible score (100%).
3,5Students performing at this level demonstrate a beginning command of the knowledge and/or skills embodied by the course assessed at their grade level. The range for the grade of 3.5 is from 61% to 70% of the total possible score (100%).
4,0Students performing at this level demonstrate a developing command of the knowledge, skills, and practices embodied by the course at their grade level. The range for the grade of 4.0 is from 71% to 80% of the total possible score (100%).
4,5Students performing at this level demonstrate a moderate command of the knowledge, skills, and practices embodied by the course. Students at this level are approaching the standards at their grade level. The range for the grade of 4.5 is from 81% to 90% of the total possible score (100%).
5,0Students performing at this level demonstrate a distinguished and strong command of the knowledge, skills, and practices embodied by the course. Students at this level are meeting or extending the standards at their grade level. The range for the grade of 5.0 is from 91% to 100% of the total possible score (100%).

Kryterium oceny - inne kompetencje społeczne i personalne

Efekt uczenia sięOcenaKryterium oceny
WM-WTMiT_2-_null_K01
Improvement of social and personal competencies including self-awareness, self-management, social awareness, relationship skills, responsible decision-making and others. Encouraging dialogue and mutual respect between peoples of different nations, cultures and faiths.
2,0Students performing at this level demonstrate no evidence of increased social and emotional skills, improved attitude toward self and others, improved positive social behaviors, decreased conduct problems and emotional distress.
3,0Acceptable student's achivements in increased social and emotional skills, improved attitude toward self and others, improved positive social behaviors, decreased conduct problems and emotional distress.
3,5Below average student's achivements in increased social and emotional skills, improved attitude toward self and others, improved positive social behaviors, decreased conduct problems and emotional distress.
4,0Average student's achivements in increased social and emotional skills, improved attitude toward self and others, improved positive social behaviors, decreased conduct problems and emotional distress.
4,5Above average student's achivements in increased social and emotional skills, improved attitude toward self and others, improved positive social behaviors, decreased conduct problems and emotional distress.
5,0Oustending student's achivements in increased social and emotional skills, improved attitude toward self and others, improved positive social behaviors, decreased conduct problems and emotional distress.

Literatura podstawowa

  1. Dennis, J.E., Schnabel, R.B., Numerical Methods for Unconstrained Optimization and Nonlinear Equations, Society for Industrial and Applied Mathematics, Philadelphia, 1996
  2. Gill, P.E., Murray, W., Wright, M.H., Practical Optimization, Academic Press, London, 1986

Literatura dodatkowa

  1. Nocedal, J., Wright, S.J., Numerical Optimization, Springer, New York, 1999
  2. Osyczka A., Evolutionary Algorithms for Single and Multicriteria Design Optimization, Physica-Verlag, Heidelberg, Germany, 2002

Treści programowe - ćwiczenia audytoryjne

KODTreść programowaGodziny
T-A-1Solving some practical examples of unconstrained and constrained optimisation problems.28
T-A-2Skills evaluation.2
30

Treści programowe - wykłady

KODTreść programowaGodziny
T-W-1Introduction: what is optimization problem?2
T-W-2Definition of mathematical formulation of continuous optimization (necessary and sufficient conditions of local optimality, concept of matrix positive definition, convex and concave functions).2
T-W-3General formulation of optimization problem.2
T-W-4Review and discussion of optimization problems.2
T-W-5General formulation of optimization algorithm.2
T-W-6Review and discussion of classical optimization algorithms.2
T-W-7Detailed formulation of selected representative optimization algorithms classified by the extent of information they require (nonderivative methods, gradient methods, Newton-Raphson methods).8
T-W-8Constraints in optimization problems.2
T-W-9Optimization methods of constrained problems (Kuhn-Tucker conditions, Lagrange multipliers method, penalty function methods).6
T-W-10Evaluation of knowledge.2
30

Formy aktywności - ćwiczenia audytoryjne

KODForma aktywnościGodziny
A-A-1Class participation and active engagement for developing and refining students ability to critically and productively engage with the subjects being studied.30
A-A-2Preparation of homeworks.47
A-A-3Preparation to skills evaluation.10
87
(*) 1 punkt ECTS, odpowiada około 30 godzinom aktywności studenta

Formy aktywności - wykłady

KODForma aktywnościGodziny
A-W-1Participation in classes.30
A-W-2Self study.23
A-W-3Preparation to knowledge evaluation.10
63
(*) 1 punkt ECTS, odpowiada około 30 godzinom aktywności studenta
PoleKODZnaczenie kodu
Zamierzone efekty uczenia sięWM-WTMiT_2-_null_W01After this course, the student will be able to: (1) estimate the actual complexity of nonlinear optimization problems; (2) apply lower complexity bounds, which establish the limits of performance of optimization method; (3) explain the main principles for constructing the optimal methods for solving different types of optimization problems, (4) use the main problem classes (general nonlinear problems, smooth convex problems, nonsmooth convex problems, structural optimization); (5) understand the rate of convergence of the main optimization methods; (6) two testing computer projects give a possibility to compare the theoretical conclusions and predictions with real performance of minimization / maximization methods.
Cel przedmiotuC-1To learn basic concepts of continuous optimization.
Treści programoweT-W-3General formulation of optimization problem.
T-W-6Review and discussion of classical optimization algorithms.
T-W-7Detailed formulation of selected representative optimization algorithms classified by the extent of information they require (nonderivative methods, gradient methods, Newton-Raphson methods).
T-W-5General formulation of optimization algorithm.
T-W-2Definition of mathematical formulation of continuous optimization (necessary and sufficient conditions of local optimality, concept of matrix positive definition, convex and concave functions).
T-W-1Introduction: what is optimization problem?
T-W-8Constraints in optimization problems.
T-W-9Optimization methods of constrained problems (Kuhn-Tucker conditions, Lagrange multipliers method, penalty function methods).
T-W-4Review and discussion of optimization problems.
Metody nauczaniaM-1Lectures
Sposób ocenyS-2Ocena formująca: Student attendance and participation in class sessions play a vital role in successful course completion.
S-1Ocena podsumowująca: Students will be expected to complete written tests, projects and homework assignments as specified by the teacher.
Kryteria ocenyOcenaKryterium oceny
2,0Failing. Students performing at this level demonstrate no evidence of the knowledge, skills, and practices embodied by the course assessed at their grade level. The range for the grade of 2.0 is from 0% to 50% of the total possible score (100%).
3,0Students performing at this level demonstrate a minimal command of the knowledge and/or skills embodied by the course assessed at their grade level. The range for the grade of 3.0 is from 51% to 60% of the total possible score (100%).
3,5Students performing at this level demonstrate a beginning command of the knowledge and/or skills embodied by the course assessed at their grade level. The range for the grade of 3.5 is from 61% to 70% of the total possible score (100%).
4,0Students performing at this level demonstrate a developing command of the knowledge, skills, and practices embodied by the course at their grade level. The range for the grade of 4.0 is from 71% to 80% of the total possible score (100%).
4,5Students performing at this level demonstrate a moderate command of the knowledge, skills, and practices embodied by the course. Students at this level are approaching the standards at their grade level. The range for the grade of 4.5 is from 81% to 90% of the total possible score (100%).
5,0Students performing at this level demonstrate a distinguished and strong command of the knowledge, skills, and practices embodied by the course. Students at this level are meeting or extending the standards at their grade level. The range for the grade of 5.0 is from 91% to 100% of the total possible score (100%).
PoleKODZnaczenie kodu
Zamierzone efekty uczenia sięWM-WTMiT_2-_null_U01The ability to use the acquired knowledge to solve practical problems.
Cel przedmiotuC-1To learn basic concepts of continuous optimization.
Treści programoweT-A-1Solving some practical examples of unconstrained and constrained optimisation problems.
Metody nauczaniaM-2Exercises
Sposób ocenyS-2Ocena formująca: Student attendance and participation in class sessions play a vital role in successful course completion.
S-1Ocena podsumowująca: Students will be expected to complete written tests, projects and homework assignments as specified by the teacher.
Kryteria ocenyOcenaKryterium oceny
2,0Failing. Students performing at this level demonstrate no evidence of the knowledge, skills, and practices embodied by the course assessed at their grade level. The range for the grade of 2.0 is from 0% to 50% of the total possible score (100%).
3,0Students performing at this level demonstrate a minimal command of the knowledge and/or skills embodied by the course assessed at their grade level. The range for the grade of 3.0 is from 51% to 60% of the total possible score (100%).
3,5Students performing at this level demonstrate a beginning command of the knowledge and/or skills embodied by the course assessed at their grade level. The range for the grade of 3.5 is from 61% to 70% of the total possible score (100%).
4,0Students performing at this level demonstrate a developing command of the knowledge, skills, and practices embodied by the course at their grade level. The range for the grade of 4.0 is from 71% to 80% of the total possible score (100%).
4,5Students performing at this level demonstrate a moderate command of the knowledge, skills, and practices embodied by the course. Students at this level are approaching the standards at their grade level. The range for the grade of 4.5 is from 81% to 90% of the total possible score (100%).
5,0Students performing at this level demonstrate a distinguished and strong command of the knowledge, skills, and practices embodied by the course. Students at this level are meeting or extending the standards at their grade level. The range for the grade of 5.0 is from 91% to 100% of the total possible score (100%).
PoleKODZnaczenie kodu
Zamierzone efekty uczenia sięWM-WTMiT_2-_null_K01Improvement of social and personal competencies including self-awareness, self-management, social awareness, relationship skills, responsible decision-making and others. Encouraging dialogue and mutual respect between peoples of different nations, cultures and faiths.
Cel przedmiotuC-1To learn basic concepts of continuous optimization.
Treści programoweT-A-1Solving some practical examples of unconstrained and constrained optimisation problems.
T-A-2Skills evaluation.
Metody nauczaniaM-2Exercises
M-1Lectures
Sposób ocenyS-2Ocena formująca: Student attendance and participation in class sessions play a vital role in successful course completion.
S-1Ocena podsumowująca: Students will be expected to complete written tests, projects and homework assignments as specified by the teacher.
Kryteria ocenyOcenaKryterium oceny
2,0Students performing at this level demonstrate no evidence of increased social and emotional skills, improved attitude toward self and others, improved positive social behaviors, decreased conduct problems and emotional distress.
3,0Acceptable student's achivements in increased social and emotional skills, improved attitude toward self and others, improved positive social behaviors, decreased conduct problems and emotional distress.
3,5Below average student's achivements in increased social and emotional skills, improved attitude toward self and others, improved positive social behaviors, decreased conduct problems and emotional distress.
4,0Average student's achivements in increased social and emotional skills, improved attitude toward self and others, improved positive social behaviors, decreased conduct problems and emotional distress.
4,5Above average student's achivements in increased social and emotional skills, improved attitude toward self and others, improved positive social behaviors, decreased conduct problems and emotional distress.
5,0Oustending student's achivements in increased social and emotional skills, improved attitude toward self and others, improved positive social behaviors, decreased conduct problems and emotional distress.