Zachodniopomorski Uniwersytet Technologiczny w Szczecinie

Administracja Centralna Uczelni - Wymiana międzynarodowa (S2)

Sylabus przedmiotu Mathematics:

Informacje podstawowe

Kierunek studiów Wymiana międzynarodowa
Forma studiów studia stacjonarne Poziom drugiego stopnia
Tytuł zawodowy absolwenta
Obszary studiów
Profil
Moduł
Przedmiot Mathematics
Specjalność przedmiot wspólny
Jednostka prowadząca Katedra Zastosowań Matematyki w Ekonomii
Nauczyciel odpowiedzialny Joanna Perzyńska <joanna.perzynska@zut.edu.pl>
Inni nauczyciele Maciej Oesterreich <Maciej.Oesterreich@zut.edu.pl>
ECTS (planowane) 4,0 ECTS (formy) 4,0
Forma zaliczenia zaliczenie Język angielski
Blok obieralny Grupa obieralna

Formy dydaktyczne

Forma dydaktycznaKODSemestrGodzinyECTSWagaZaliczenie
wykładyW1 10 1,00,50zaliczenie
laboratoriaL1 30 3,00,50zaliczenie

Wymagania wstępne

KODWymaganie wstępne
W-1Foundations of mathematics

Cele przedmiotu

KODCel modułu/przedmiotu
C-1Gaining basic knowledge of mathematical analysis and linear algebra
C-2Students will obtain skills in: finding local and global extremum of functions, matrix operations, solving systems of linear equations, application of computer software to solving mathematical problems

Treści programowe z podziałem na formy zajęć

KODTreść programowaGodziny
laboratoria
T-L-1Examinating the course of function variability. Creating functions graphs using computer programs4
T-L-2Calculating partial derivatives of functions of two or more variables6
T-L-3Extremum problems - traditional and computer solving4
T-L-4Practical test 11
T-L-5Matrix operations. Finding the inverse matrix6
T-L-6Solving matrix equations4
T-L-7Solving systems of linear equations4
T-L-8Practical test 21
30
wykłady
T-W-1The derivative of a function of one variable. Partial derivatives of functions of two or more variables2
T-W-2Extremes of functions2
T-W-3Matrix theory3
T-W-4Systems of linear equations2
T-W-5Theory test1
10

Obciążenie pracą studenta - formy aktywności

KODForma aktywnościGodziny
laboratoria
A-L-1Participation in classes30
A-L-2Preparation for the classes25
A-L-3Preparation for practical tests20
75
wykłady
A-W-1Participation in classes10
A-W-2Own work5
A-W-3Preparation for theory test10
25

Metody nauczania / narzędzia dydaktyczne

KODMetoda nauczania / narzędzie dydaktyczne
M-1Lecture with multimedial presentation
M-2Exercises during laboratories

Sposoby oceny

KODSposób oceny
S-1Ocena formująca: In-class activity and participation
S-2Ocena podsumowująca: Written tests

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-WEKON_1-_MATT_W01
The student will gaining basic knowledge of mathematical analysis and linear algebra
C-1, C-2T-W-4, T-W-1, T-W-2, T-W-3, T-L-1, T-L-3, T-L-5, T-L-6, T-L-7, T-L-2M-1S-2

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-WEKON_1-_MATT_U01
The student can use the learned definitions and theorems of mathematical analysis to solve practical tasks
C-1, C-2T-W-4, T-W-1, T-W-2, T-W-3, T-L-1, T-L-3, T-L-5, T-L-6, T-L-7, T-L-2M-2, M-1S-2, S-1
WM-WEKON_1-_MATT_U02
The student will obtain skills in: finding local and global extremum of functions, matrix operations, solving systems of linear equations, application of computer software to solving mathematical problems
C-1, C-2T-W-4, T-W-1, T-W-2, T-W-3, T-L-1, T-L-3, T-L-5, T-L-6, T-L-7, T-L-2M-2, M-1S-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-WEKON_1-_MATT_K01
The student mastered the principles of individual and group work
C-1, C-2T-L-1, T-L-3, T-L-4, T-L-5, T-L-8, T-L-6, T-L-7, T-L-2M-2, M-1S-2, S-1

Kryterium oceny - wiedza

Efekt uczenia sięOcenaKryterium oceny
WM-WEKON_1-_MATT_W01
The student will gaining basic knowledge of mathematical analysis and linear algebra
2,0
3,0The student has basic knowledge about presented branches of mathematics
3,5
4,0
4,5
5,0

Kryterium oceny - umiejętności

Efekt uczenia sięOcenaKryterium oceny
WM-WEKON_1-_MATT_U01
The student can use the learned definitions and theorems of mathematical analysis to solve practical tasks
2,0
3,0The student can solve typical simple exercises of higher mathematics in selected topics
3,5
4,0
4,5
5,0
WM-WEKON_1-_MATT_U02
The student will obtain skills in: finding local and global extremum of functions, matrix operations, solving systems of linear equations, application of computer software to solving mathematical problems
2,0
3,0The student is able to: - calculate derivatives of functions, - perform elements of the analysis of the function variability course, - perform operations on matrices and solve the system of equations using computer software
3,5
4,0
4,5
5,0

Kryterium oceny - inne kompetencje społeczne i personalne

Efekt uczenia sięOcenaKryterium oceny
WM-WEKON_1-_MATT_K01
The student mastered the principles of individual and group work
2,0
3,0The student organizes individual and group work guided by the teacher's instructions.
3,5
4,0
4,5
5,0

Literatura podstawowa

  1. M.Pemberton, N.Rau, Mathematics for Economists, Manchester University Press, 2012
  2. Dr. SC Aggarwal, Dr. RK Rana, Basic Mathematics for Economists, FK Publications, 2010

Literatura dodatkowa

  1. Babula E., Czerwonka L., Mathematical applications in economics and management, Wydawnictwo Uniwersytetu Gdańskiego, 2015

Treści programowe - laboratoria

KODTreść programowaGodziny
T-L-1Examinating the course of function variability. Creating functions graphs using computer programs4
T-L-2Calculating partial derivatives of functions of two or more variables6
T-L-3Extremum problems - traditional and computer solving4
T-L-4Practical test 11
T-L-5Matrix operations. Finding the inverse matrix6
T-L-6Solving matrix equations4
T-L-7Solving systems of linear equations4
T-L-8Practical test 21
30

Treści programowe - wykłady

KODTreść programowaGodziny
T-W-1The derivative of a function of one variable. Partial derivatives of functions of two or more variables2
T-W-2Extremes of functions2
T-W-3Matrix theory3
T-W-4Systems of linear equations2
T-W-5Theory test1
10

Formy aktywności - laboratoria

KODForma aktywnościGodziny
A-L-1Participation in classes30
A-L-2Preparation for the classes25
A-L-3Preparation for practical tests20
75
(*) 1 punkt ECTS, odpowiada około 30 godzinom aktywności studenta

Formy aktywności - wykłady

KODForma aktywnościGodziny
A-W-1Participation in classes10
A-W-2Own work5
A-W-3Preparation for theory test10
25
(*) 1 punkt ECTS, odpowiada około 30 godzinom aktywności studenta
PoleKODZnaczenie kodu
Zamierzone efekty uczenia sięWM-WEKON_1-_MATT_W01The student will gaining basic knowledge of mathematical analysis and linear algebra
Cel przedmiotuC-1Gaining basic knowledge of mathematical analysis and linear algebra
C-2Students will obtain skills in: finding local and global extremum of functions, matrix operations, solving systems of linear equations, application of computer software to solving mathematical problems
Treści programoweT-W-4Systems of linear equations
T-W-1The derivative of a function of one variable. Partial derivatives of functions of two or more variables
T-W-2Extremes of functions
T-W-3Matrix theory
T-L-1Examinating the course of function variability. Creating functions graphs using computer programs
T-L-3Extremum problems - traditional and computer solving
T-L-5Matrix operations. Finding the inverse matrix
T-L-6Solving matrix equations
T-L-7Solving systems of linear equations
T-L-2Calculating partial derivatives of functions of two or more variables
Metody nauczaniaM-1Lecture with multimedial presentation
Sposób ocenyS-2Ocena podsumowująca: Written tests
Kryteria ocenyOcenaKryterium oceny
2,0
3,0The student has basic knowledge about presented branches of mathematics
3,5
4,0
4,5
5,0
PoleKODZnaczenie kodu
Zamierzone efekty uczenia sięWM-WEKON_1-_MATT_U01The student can use the learned definitions and theorems of mathematical analysis to solve practical tasks
Cel przedmiotuC-1Gaining basic knowledge of mathematical analysis and linear algebra
C-2Students will obtain skills in: finding local and global extremum of functions, matrix operations, solving systems of linear equations, application of computer software to solving mathematical problems
Treści programoweT-W-4Systems of linear equations
T-W-1The derivative of a function of one variable. Partial derivatives of functions of two or more variables
T-W-2Extremes of functions
T-W-3Matrix theory
T-L-1Examinating the course of function variability. Creating functions graphs using computer programs
T-L-3Extremum problems - traditional and computer solving
T-L-5Matrix operations. Finding the inverse matrix
T-L-6Solving matrix equations
T-L-7Solving systems of linear equations
T-L-2Calculating partial derivatives of functions of two or more variables
Metody nauczaniaM-2Exercises during laboratories
M-1Lecture with multimedial presentation
Sposób ocenyS-2Ocena podsumowująca: Written tests
S-1Ocena formująca: In-class activity and participation
Kryteria ocenyOcenaKryterium oceny
2,0
3,0The student can solve typical simple exercises of higher mathematics in selected topics
3,5
4,0
4,5
5,0
PoleKODZnaczenie kodu
Zamierzone efekty uczenia sięWM-WEKON_1-_MATT_U02The student will obtain skills in: finding local and global extremum of functions, matrix operations, solving systems of linear equations, application of computer software to solving mathematical problems
Cel przedmiotuC-1Gaining basic knowledge of mathematical analysis and linear algebra
C-2Students will obtain skills in: finding local and global extremum of functions, matrix operations, solving systems of linear equations, application of computer software to solving mathematical problems
Treści programoweT-W-4Systems of linear equations
T-W-1The derivative of a function of one variable. Partial derivatives of functions of two or more variables
T-W-2Extremes of functions
T-W-3Matrix theory
T-L-1Examinating the course of function variability. Creating functions graphs using computer programs
T-L-3Extremum problems - traditional and computer solving
T-L-5Matrix operations. Finding the inverse matrix
T-L-6Solving matrix equations
T-L-7Solving systems of linear equations
T-L-2Calculating partial derivatives of functions of two or more variables
Metody nauczaniaM-2Exercises during laboratories
M-1Lecture with multimedial presentation
Sposób ocenyS-2Ocena podsumowująca: Written tests
S-1Ocena formująca: In-class activity and participation
Kryteria ocenyOcenaKryterium oceny
2,0
3,0The student is able to: - calculate derivatives of functions, - perform elements of the analysis of the function variability course, - perform operations on matrices and solve the system of equations using computer software
3,5
4,0
4,5
5,0
PoleKODZnaczenie kodu
Zamierzone efekty uczenia sięWM-WEKON_1-_MATT_K01The student mastered the principles of individual and group work
Cel przedmiotuC-1Gaining basic knowledge of mathematical analysis and linear algebra
C-2Students will obtain skills in: finding local and global extremum of functions, matrix operations, solving systems of linear equations, application of computer software to solving mathematical problems
Treści programoweT-L-1Examinating the course of function variability. Creating functions graphs using computer programs
T-L-3Extremum problems - traditional and computer solving
T-L-4Practical test 1
T-L-5Matrix operations. Finding the inverse matrix
T-L-8Practical test 2
T-L-6Solving matrix equations
T-L-7Solving systems of linear equations
T-L-2Calculating partial derivatives of functions of two or more variables
Metody nauczaniaM-2Exercises during laboratories
M-1Lecture with multimedial presentation
Sposób ocenyS-2Ocena podsumowująca: Written tests
S-1Ocena formująca: In-class activity and participation
Kryteria ocenyOcenaKryterium oceny
2,0
3,0The student organizes individual and group work guided by the teacher's instructions.
3,5
4,0
4,5
5,0