Zachodniopomorski Uniwersytet Technologiczny w Szczecinie

Wydział Budownictwa i Inżynierii Środowiska - Budownictwo (S1)

Sylabus przedmiotu Numerical Techniques:

Informacje podstawowe

Kierunek studiów Budownictwo
Forma studiów studia stacjonarne Poziom pierwszego stopnia
Tytuł zawodowy absolwenta inżynier
Obszary studiów charakterystyki PRK, kompetencje inżynierskie PRK
Profil ogólnoakademicki
Moduł —
Przedmiot Numerical Techniques
Specjalność przedmiot wspólny
Jednostka prowadząca Katedra Konstrukcji Żelbetowych i Technologii Betonu
Nauczyciel odpowiedzialny Elzbieta Freidenberg <Elzbieta.Freidenberg@zut.edu.pl>
Inni nauczyciele
ECTS (planowane) 2,0 ECTS (formy) 2,0
Forma zaliczenia zaliczenie Język polski
Blok obieralny 4 Grupa obieralna 1

Formy dydaktyczne

Forma dydaktycznaKODSemestrGodzinyECTSWagaZaliczenie
laboratoriaL1 30 2,01,00zaliczenie

Wymagania wstępne

KODWymaganie wstępne
W-1Completed mathematics course.

Cele przedmiotu

KODCel modułu/przedmiotu
C-1Demonstrate the use of available engineering and office software to present and analyze research results.
C-2Evaluate in terms of reliability and usefulness of information presented on the Internet.

Treści programowe z podziałem na formy zajęć

KODTreść programowaGodziny
laboratoria
T-L-1Testing digital competence in the ability to use supporting computing programs (spreadsheet, available ON-Line applications). Introduction to UCI ZUT online services. Management and configuration of the ZUT student account.2
T-L-2Spreadsheet - hosen topics depending on the results of competency tests. Types of addresses, data, formatting of data, graphs of functions.2
T-L-3Linear regression -development of measurement results. Derivation of formulas. Spreadsheet - linear regression - available, built-in functions. Graphs of functions and results.2
T-L-4An independent task to test the acquired skills.2
T-L-5Nonlinear regression - spreadsheet - use of built-in spreadsheet functions. Checking calculations in Desmos - graphing calculator.2
T-L-6Solving nonlinear equations and system of nonlinear equations. The method of tangents, secants and bysections. Spreadsheet - Solver package.2
T-L-7Solving systems of linear equations. Operations on matrices in a spreadsheet.2
T-L-8Spreadsheet - summary (independent task).2
T-L-9Introduction to the working environment of the available programs for engineering calculations. Declaring variables, range variables, matrices, graphing functions, symbolic calculations2
T-L-10Declaring functions, Solving equations and systems of equations using built-in modules.2
T-L-11Approximation to polynomials, linear regression, nonlinear regression.2
T-L-12Solving nonlinear equations using bysection, tangent, secant methods. Introducing the concept of recursion. Use of programming tools.2
T-L-13Solve nonlinear equations and systems of nonlinear equations using built-in functions.2
T-L-14Numerical integration: the method of trapezoids and parabolas. Symbolic calculations in Prime2
T-L-15Higher grade credit assignment. An individual assignment that is a compilation from all the numerical methods presented and computational tools shown. Correction assignment for those who did not turn in all papers during the semester or had absences.2
30

Obciążenie pracą studenta - formy aktywności

KODForma aktywnościGodziny
laboratoria
A-L-1Class participation30
A-L-2Solving assigned problems independently10
A-L-3Develop their own sample problems, in which knowledge of the presented numerical methods and skills in the use of the selected calculation program are required.8
A-L-4Consultation2
50

Metody nauczania / narzędzia dydaktyczne

KODMetoda nauczania / narzędzie dydaktyczne
M-1Computer-based laboratory exercises.

Sposoby oceny

KODSposób oceny
S-1Ocena formująca: Credit obtained on the basis of correctly completed and turned in assignments from each class.
S-2Ocena podsumowująca: Solving an independent problem task for a higher grade.

Zamierzone efekty uczenia się - wiedza

Zamierzone efekty uczenia sięOdniesienie do efektów kształcenia dla kierunku studiówOdniesienie do efektów zdefiniowanych dla obszaru kształceniaOdniesienie do efektów uczenia się prowadzących do uzyskania tytułu zawodowego inżynieraCel przedmiotuTreści programoweMetody nauczaniaSposób oceny
B_1A_S1/A/01-a_W01
Has knowledge of computational mathematics. The student is able to develop analytically basic computational problems, such as solving nonlinear equationi, solving systems of linear equations, statistically develop laboratory results.		B_1A_W01——C-1T-L-12, T-L-14M-1S-1

Zamierzone efekty uczenia się - umiejętności

Zamierzone efekty uczenia sięOdniesienie do efektów kształcenia dla kierunku studiówOdniesienie do efektów zdefiniowanych dla obszaru kształceniaOdniesienie do efektów uczenia się prowadzących do uzyskania tytułu zawodowego inżynieraCel przedmiotuTreści programoweMetody nauczaniaSposób oceny
B_1A_S1/A/01-a_U01
Has the ability to: - mathematical and statistical elaboration of measurement results. - operation of computer programs in terms of spreadsheets and mathematical programs. - searching and processing data posted on computer networks-Internet.		B_1A_U05, B_1A_U06——C-1T-L-9, T-L-10, T-L-11, T-L-13M-1S-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 kształceniaOdniesienie do efektów uczenia się prowadzących do uzyskania tytułu zawodowego inżynieraCel przedmiotuTreści programoweMetody nauczaniaSposób oceny
B_1A_S1/A/01-a_K01
Identifies the need for self-education and improvement of skills.		B_1A_K01——C-1T-L-2, T-L-3, T-L-4, T-L-5, T-L-6, T-L-7, T-L-8, T-L-9, T-L-10, T-L-11, T-L-12, T-L-13, T-L-14, T-L-15M-1S-2

Kryterium oceny - wiedza

Efekt uczenia sięOcenaKryterium oceny
B_1A_S1/A/01-a_W01
Has knowledge of computational mathematics. The student is able to develop analytically basic computational problems, such as solving nonlinear equationi, solving systems of linear equations, statistically develop laboratory results.		2,0
3,0The student has minimal mastery of knowledge. He distinguishes the concept of function. Knows how to define a function and draw a graph. He is able to correctly reproduce all topics discussed in the lecture. Knows Prime's built-in functions for calculating nonlinear equations, definite integrals, system of n-linear equations.
3,5
4,0
4,5
5,0

Kryterium oceny - umiejętności

Efekt uczenia sięOcenaKryterium oceny
B_1A_S1/A/01-a_U01
Has the ability to: - mathematical and statistical elaboration of measurement results. - operation of computer programs in terms of spreadsheets and mathematical programs. - searching and processing data posted on computer networks-Internet.		2,0
3,0The student is able to apply numerical methods, using available computational software.
3,5
4,0
4,5
5,0

Kryterium oceny - inne kompetencje społeczne i personalne

Efekt uczenia sięOcenaKryterium oceny
B_1A_S1/A/01-a_K01
Identifies the need for self-education and improvement of skills.		2,0
3,0The student is able to search for the necessary information. He is open to cooperation.
3,5
4,0
4,5
5,0

Literatura podstawowa

  1. Fortuna Zenon, Macukow Bohdan, Wąsowski Janusz, Metody numeryczne wydanie siódme, WNT, 2006, 83-204-3075-5
  2. Robert Gajewski Marcin Jaczewski, PTC MathCAD Prime 3.0 Obliczenia i programowanie, Wydawnictwo Naukowe PWN, Warszawa, 2014, ISBN: 9788301180317
  3. Elżbieta Freidenberg, Metody obliczeniowe w arkuszach kalkulacyjnych, materiały własne, 2019, materiały interaktywne udostępniane podczas zajęć
  4. Elżbieta Freidenberg, PTC MathCad Prime - obliczenia z wykorzystaniem w zastosowaniach inżynierskich, Szczecin, 2019, 5, Materiały wlasne - udostępniane podczas zajęć.
  5. John Walkenbach, Excel 2019. Biblia, Helion, 2019, 978-83-283-5578-1

Treści programowe - laboratoria

KODTreść programowaGodziny
T-L-1Testing digital competence in the ability to use supporting computing programs (spreadsheet, available ON-Line applications). Introduction to UCI ZUT online services. Management and configuration of the ZUT student account.2
T-L-2Spreadsheet - hosen topics depending on the results of competency tests. Types of addresses, data, formatting of data, graphs of functions.2
T-L-3Linear regression -development of measurement results. Derivation of formulas. Spreadsheet - linear regression - available, built-in functions. Graphs of functions and results.2
T-L-4An independent task to test the acquired skills.2
T-L-5Nonlinear regression - spreadsheet - use of built-in spreadsheet functions. Checking calculations in Desmos - graphing calculator.2
T-L-6Solving nonlinear equations and system of nonlinear equations. The method of tangents, secants and bysections. Spreadsheet - Solver package.2
T-L-7Solving systems of linear equations. Operations on matrices in a spreadsheet.2
T-L-8Spreadsheet - summary (independent task).2
T-L-9Introduction to the working environment of the available programs for engineering calculations. Declaring variables, range variables, matrices, graphing functions, symbolic calculations2
T-L-10Declaring functions, Solving equations and systems of equations using built-in modules.2
T-L-11Approximation to polynomials, linear regression, nonlinear regression.2
T-L-12Solving nonlinear equations using bysection, tangent, secant methods. Introducing the concept of recursion. Use of programming tools.2
T-L-13Solve nonlinear equations and systems of nonlinear equations using built-in functions.2
T-L-14Numerical integration: the method of trapezoids and parabolas. Symbolic calculations in Prime2
T-L-15Higher grade credit assignment. An individual assignment that is a compilation from all the numerical methods presented and computational tools shown. Correction assignment for those who did not turn in all papers during the semester or had absences.2
30

Formy aktywności - laboratoria

KODForma aktywnościGodziny
A-L-1Class participation30
A-L-2Solving assigned problems independently10
A-L-3Develop their own sample problems, in which knowledge of the presented numerical methods and skills in the use of the selected calculation program are required.8
A-L-4Consultation2
50
(*) 1 punkt ECTS, odpowiada około 30 godzinom aktywności studenta
PoleKODZnaczenie kodu
Zamierzone efekty uczenia sięB_1A_S1/A/01-a_W01Has knowledge of computational mathematics. The student is able to develop analytically basic computational problems, such as solving nonlinear equationi, solving systems of linear equations, statistically develop laboratory results.
Odniesienie do efektów kształcenia dla kierunku studiówB_1A_W01Ma wiedzę z zakresu matematyki, fizyki, chemii i innych obszarów przydatną do formułowania i rozwiązywania prostych zadań z zakresu budownictwa i zagadnień inżynieryjnych.
Cel przedmiotuC-1Demonstrate the use of available engineering and office software to present and analyze research results.
Treści programoweT-L-12Solving nonlinear equations using bysection, tangent, secant methods. Introducing the concept of recursion. Use of programming tools.
T-L-14Numerical integration: the method of trapezoids and parabolas. Symbolic calculations in Prime
Metody nauczaniaM-1Computer-based laboratory exercises.
Sposób ocenyS-1Ocena formująca: Credit obtained on the basis of correctly completed and turned in assignments from each class.
Kryteria ocenyOcenaKryterium oceny
2,0
3,0The student has minimal mastery of knowledge. He distinguishes the concept of function. Knows how to define a function and draw a graph. He is able to correctly reproduce all topics discussed in the lecture. Knows Prime's built-in functions for calculating nonlinear equations, definite integrals, system of n-linear equations.
3,5
4,0
4,5
5,0
PoleKODZnaczenie kodu
Zamierzone efekty uczenia sięB_1A_S1/A/01-a_U01Has the ability to: - mathematical and statistical elaboration of measurement results. - operation of computer programs in terms of spreadsheets and mathematical programs. - searching and processing data posted on computer networks-Internet.
Odniesienie do efektów kształcenia dla kierunku studiówB_1A_U05Potrafi planować i przeprowadzać obliczenia, analizy i eksperymenty, w tym pomiary i symulacje komputerowe, interpretować uzyskane rezultaty, krytycznie ocenić otrzymane wyniki oraz wyciągać wnioski .
B_1A_U06Potrafi czytać oraz przygotowywać dokumentację techniczną w środowisku wybranych programów komputerowych.
Cel przedmiotuC-1Demonstrate the use of available engineering and office software to present and analyze research results.
Treści programoweT-L-9Introduction to the working environment of the available programs for engineering calculations. Declaring variables, range variables, matrices, graphing functions, symbolic calculations
T-L-10Declaring functions, Solving equations and systems of equations using built-in modules.
T-L-11Approximation to polynomials, linear regression, nonlinear regression.
T-L-13Solve nonlinear equations and systems of nonlinear equations using built-in functions.
Metody nauczaniaM-1Computer-based laboratory exercises.
Sposób ocenyS-1Ocena formująca: Credit obtained on the basis of correctly completed and turned in assignments from each class.
Kryteria ocenyOcenaKryterium oceny
2,0
3,0The student is able to apply numerical methods, using available computational software.
3,5
4,0
4,5
5,0
PoleKODZnaczenie kodu
Zamierzone efekty uczenia sięB_1A_S1/A/01-a_K01Identifies the need for self-education and improvement of skills.
Odniesienie do efektów kształcenia dla kierunku studiówB_1A_K01Jest gotów do krytycznej oceny posiadanej wiedzy oraz ma świadomość jej znaczenia w procesie rozwiązywania szeregu problemów inżynierskich i technicznych.
Cel przedmiotuC-1Demonstrate the use of available engineering and office software to present and analyze research results.
Treści programoweT-L-2Spreadsheet - hosen topics depending on the results of competency tests. Types of addresses, data, formatting of data, graphs of functions.
T-L-3Linear regression -development of measurement results. Derivation of formulas. Spreadsheet - linear regression - available, built-in functions. Graphs of functions and results.
T-L-4An independent task to test the acquired skills.
T-L-5Nonlinear regression - spreadsheet - use of built-in spreadsheet functions. Checking calculations in Desmos - graphing calculator.
T-L-6Solving nonlinear equations and system of nonlinear equations. The method of tangents, secants and bysections. Spreadsheet - Solver package.
T-L-7Solving systems of linear equations. Operations on matrices in a spreadsheet.
T-L-8Spreadsheet - summary (independent task).
T-L-9Introduction to the working environment of the available programs for engineering calculations. Declaring variables, range variables, matrices, graphing functions, symbolic calculations
T-L-10Declaring functions, Solving equations and systems of equations using built-in modules.
T-L-11Approximation to polynomials, linear regression, nonlinear regression.
T-L-12Solving nonlinear equations using bysection, tangent, secant methods. Introducing the concept of recursion. Use of programming tools.
T-L-13Solve nonlinear equations and systems of nonlinear equations using built-in functions.
T-L-14Numerical integration: the method of trapezoids and parabolas. Symbolic calculations in Prime
T-L-15Higher grade credit assignment. An individual assignment that is a compilation from all the numerical methods presented and computational tools shown. Correction assignment for those who did not turn in all papers during the semester or had absences.
Metody nauczaniaM-1Computer-based laboratory exercises.
Sposób ocenyS-2Ocena podsumowująca: Solving an independent problem task for a higher grade.
Kryteria ocenyOcenaKryterium oceny
2,0
3,0The student is able to search for the necessary information. He is open to cooperation.
3,5
4,0
4,5
5,0