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
Wymagania wstępne
| KOD | Wymaganie wstępne |
|---|---|
| W-1 | Linear algebra, differential calculations. |
Cele przedmiotu
| KOD | Cel modułu/przedmiotu |
|---|---|
| C-1 | To learn basic concepts of continuous optimization. |
Treści programowe z podziałem na formy zajęć
| KOD | Treść programowa | Godziny |
|---|---|---|
| ćwiczenia audytoryjne | ||
| T-A-1 | Solving some practical examples of unconstrained and constrained optimisation problems. | 28 |
| T-A-2 | Skills evaluation. | 2 |
| 30 | ||
| wykłady | ||
| T-W-1 | Introduction: what is optimization problem? | 2 |
| T-W-2 | Definition 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-3 | General formulation of optimization problem. | 2 |
| T-W-4 | Review and discussion of optimization problems. | 2 |
| T-W-5 | General formulation of optimization algorithm. | 2 |
| T-W-6 | Review and discussion of classical optimization algorithms. | 2 |
| T-W-7 | Detailed formulation of selected representative optimization algorithms classified by the extent of information they require (nonderivative methods, gradient methods, Newton-Raphson methods). | 8 |
| T-W-8 | Constraints in optimization problems. | 2 |
| T-W-9 | Optimization methods of constrained problems (Kuhn-Tucker conditions, Lagrange multipliers method, penalty function methods). | 6 |
| T-W-10 | Evaluation of knowledge. | 2 |
| 30 | ||
Obciążenie pracą studenta - formy aktywności
| KOD | Forma aktywności | Godziny |
|---|---|---|
| ćwiczenia audytoryjne | ||
| A-A-1 | Class participation and active engagement for developing and refining students ability to critically and productively engage with the subjects being studied. | 30 |
| A-A-2 | Preparation of homeworks. | 47 |
| A-A-3 | Preparation to skills evaluation. | 10 |
| 87 | ||
| wykłady | ||
| A-W-1 | Participation in classes. | 30 |
| A-W-2 | Self study. | 23 |
| A-W-3 | Preparation to knowledge evaluation. | 10 |
| 63 | ||
Metody nauczania / narzędzia dydaktyczne
| KOD | Metoda nauczania / narzędzie dydaktyczne |
|---|---|
| M-1 | Lectures |
| M-2 | Exercises |
Sposoby oceny
| KOD | Sposób oceny |
|---|---|
| S-1 | Ocena podsumowująca: Students will be expected to complete written tests, projects and homework assignments as specified by the teacher. |
| S-2 | Ocena formująca: Student attendance and participation in class sessions play a vital role in successful course completion. |
Zamierzone efekty uczenia się - wiedza
| Zamierzone efekty uczenia się | Odniesienie do efektów kształcenia dla kierunku studiów | Odniesienie do efektów zdefiniowanych dla obszaru kształcenia | Cel przedmiotu | Treści programowe | Metody nauczania | Sposób 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-1 | T-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-4 | M-1 | S-2, S-1 |
Zamierzone efekty uczenia się - umiejętności
| Zamierzone efekty uczenia się | Odniesienie do efektów kształcenia dla kierunku studiów | Odniesienie do efektów zdefiniowanych dla obszaru kształcenia | Cel przedmiotu | Treści programowe | Metody nauczania | Sposób oceny |
|---|---|---|---|---|---|---|
| WM-WTMiT_2-_null_U01 The ability to use the acquired knowledge to solve practical problems. | — | — | C-1 | T-A-1 | M-2 | S-2, S-1 |
Zamierzone efekty uczenia się - inne kompetencje społeczne i personalne
| Zamierzone efekty uczenia się | Odniesienie do efektów kształcenia dla kierunku studiów | Odniesienie do efektów zdefiniowanych dla obszaru kształcenia | Cel przedmiotu | Treści programowe | Metody nauczania | Sposób 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-1 | T-A-1, T-A-2 | M-2, M-1 | S-2, S-1 |
Kryterium oceny - wiedza
| Efekt uczenia się | Ocena | Kryterium 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. | 2,0 | Failing. 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%). |
| 3,0 | Students 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%). | |
| 3,5 | Students 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%). | |
| 4,0 | Students 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%). | |
| 4,5 | Students 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%). | |
| 5,0 | Students 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 się | Ocena | Kryterium oceny |
|---|---|---|
| WM-WTMiT_2-_null_U01 The ability to use the acquired knowledge to solve practical problems. | 2,0 | Failing. 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%). |
| 3,0 | Students 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%). | |
| 3,5 | Students 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%). | |
| 4,0 | Students 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%). | |
| 4,5 | Students 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%). | |
| 5,0 | Students 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 się | Ocena | Kryterium 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. | 2,0 | Students 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. |
| 3,0 | Acceptable 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. | |
| 3,5 | Below 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. | |
| 4,0 | 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. | |
| 4,5 | Above 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. | |
| 5,0 | Oustending 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
- Dennis, J.E., Schnabel, R.B., Numerical Methods for Unconstrained Optimization and Nonlinear Equations, Society for Industrial and Applied Mathematics, Philadelphia, 1996
- Gill, P.E., Murray, W., Wright, M.H., Practical Optimization, Academic Press, London, 1986
Literatura dodatkowa
- Nocedal, J., Wright, S.J., Numerical Optimization, Springer, New York, 1999
- Osyczka A., Evolutionary Algorithms for Single and Multicriteria Design Optimization, Physica-Verlag, Heidelberg, Germany, 2002