Zachodniopomorski Uniwersytet Technologiczny w Szczecinie

Wydział Ekonomiczny - Economics (S1)
specjalność: Property Valuation and Real Estate Transactions

Sylabus przedmiotu Mathematics II:

Informacje podstawowe

Kierunek studiów Economics
Forma studiów studia stacjonarne Poziom pierwszego stopnia
Tytuł zawodowy absolwenta licencjat
Obszary studiów charakterystyki PRK
Profil ogólnoakademicki
Moduł —
Przedmiot Mathematics II
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) 5,0 ECTS (formy) 5,0
Forma zaliczenia egzamin Język polski
Blok obieralny — Grupa obieralna —

Formy dydaktyczne

Forma dydaktycznaKODSemestrGodzinyECTSWagaZaliczenie
wykładyW2 25 2,00,50egzamin
ćwiczenia audytoryjneA2 38 3,00,50zaliczenie

Wymagania wstępne

KODWymaganie wstępne
W-1Knowledge of the advanced level mathematics from the secondary school

Cele przedmiotu

KODCel modułu/przedmiotu
C-1Students will gain basic knowledge of higher mathematics.
C-2Students will gain basic knowledge necessary to understand subjects using advanced mathematics techniques: statistics, operational research, quantitative methods in economics.
C-3Students will apply mathematical knowledge to the study of economic phenomena.

Treści programowe z podziałem na formy zajęć

KODTreść programowaGodziny
ćwiczenia audytoryjne
T-A-1Partial derivatives of the functions.4
T-A-2Local and global extrema of two variable function.7
T-A-3The integral of the one variable function.10
T-A-4Differential equations.4
T-A-5Test # 1.2
T-A-6Matrices and determinants. Matrix equations. Systems of linear equations..10
T-A-7Test # 2.1
38
wykłady
T-W-1Partial derivatives of the functions.2
T-W-2Local and global extrema of two variable function.4
T-W-3The integral of the one variable function.6
T-W-4Differential equations.2
T-W-5Matrices and determinants.4
T-W-6Matrix equations4
T-W-7Systems of linear equations3
25

Obciążenie pracą studenta - formy aktywności

KODForma aktywnościGodziny
ćwiczenia audytoryjne
A-A-1Participations in classes.38
A-A-2Preparation for classes.10
A-A-3Homework.7
A-A-4Preparation for tests.20
75
wykłady
A-W-1Participation in lectures.25
A-W-2Preparation for lectures.6
A-W-3Studying the literature.5
A-W-4Preparation for exam.12
A-W-5Exam2
50

Metody nauczania / narzędzia dydaktyczne

KODMetoda nauczania / narzędzie dydaktyczne
M-1Information-problem lecture.
M-2Exercises.

Sposoby oceny

KODSposób oceny
S-1Ocena formująca: Evaluation of activity during classes.
S-2Ocena formująca: Evaluation of individual problem solving during classes.
S-3Ocena formująca: Evaluation of homework solving (individually and in groups).
S-4Ocena podsumowująca: Test.
S-5Ocena podsumowująca: Exam.

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
Ec_1A_B04_W01
The student knows and understands the theoretical basis of the differential calculus of several variables functions, the integral calculus of the one variable function and linear algebra.		Ec_1A_W03, Ec_1A_W06—C-3, C-1, C-2T-W-1, T-W-3, T-W-6, T-W-7, T-W-5, T-W-2, T-W-4M-1S-5

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
Ec_1A_B04_U01
The student can use the learned definitions and theorems of mathematical analysis and linear algebra to solve practical tasks.		Ec_1A_U01, Ec_1A_U02, Ec_1A_U04—C-3, C-1, C-2T-A-1, T-A-2, T-A-4, T-A-3, T-A-6M-2S-3, S-4, S-2, S-1, S-5

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
Ec_1A_B04_K01
The student is ready to recognise the importance of mathematics in solving problems concerning economic phenomena and processes		Ec_1A_K01—C-3, C-1, C-2T-A-1, T-A-2, T-A-4, T-A-3, T-A-6, T-A-7, T-A-5M-1, M-2S-3, S-4, S-2, S-1, S-5

Kryterium oceny - wiedza

Efekt uczenia sięOcenaKryterium oceny
Ec_1A_B04_W01
The student knows and understands the theoretical basis of the differential calculus of several variables functions, the integral calculus of the one variable function and linear algebra.		2,0
3,0The student knows and understands the theoretical basis of the differential calculus of several variables functions, the integral calculus of the one variable function and linear algebra at a sufficient level
3,5
4,0
4,5
5,0

Kryterium oceny - umiejętności

Efekt uczenia sięOcenaKryterium oceny
Ec_1A_B04_U01
The student can use the learned definitions and theorems of mathematical analysis and linear algebra to solve practical tasks.		2,0
3,0The student can use the learned definitions and theorems of mathematical analysis and linear algebra to solve practical tasks at a sufficient level
3,5
4,0
4,5
5,0

Kryterium oceny - inne kompetencje społeczne i personalne

Efekt uczenia sięOcenaKryterium oceny
Ec_1A_B04_K01
The student is ready to recognise the importance of mathematics in solving problems concerning economic phenomena and processes		2,0
3,0The student is ready to recognise the importance of mathematics in solving problems concerning economic phenomena and processes at a sufficient level
3,5
4,0
4,5.
5,0

Literatura podstawowa

  1. Babula E., Czerwonka L., Zastosowanie matematyki w ekonomii i zarządzaniu / Mathematical applications in economics and management, Wydawnictwo Uniwersytetu Gdańskiego, 2015
  2. M.Pemberton, N.Rau, Mathematics for Economists, Manchester University Press, 2012
  3. SC Aggarwal, RK Rana, Basic Mathematics for Economists, FK Publications, 2010

Literatura dodatkowa

  1. Krysicki W., Włodarski L., Analiza matematyczna w zadaniach. cz.1 i 2., PWN, Warszawa, 2021
  2. Winnicki K., Miklewska J., Perzyńska J., Zbiór przykładów i zadań z matematyki dla studentów studiów zaocznych, AR, Szczecin, 2002

Treści programowe - ćwiczenia audytoryjne

KODTreść programowaGodziny
T-A-1Partial derivatives of the functions.4
T-A-2Local and global extrema of two variable function.7
T-A-3The integral of the one variable function.10
T-A-4Differential equations.4
T-A-5Test # 1.2
T-A-6Matrices and determinants. Matrix equations. Systems of linear equations..10
T-A-7Test # 2.1
38

Treści programowe - wykłady

KODTreść programowaGodziny
T-W-1Partial derivatives of the functions.2
T-W-2Local and global extrema of two variable function.4
T-W-3The integral of the one variable function.6
T-W-4Differential equations.2
T-W-5Matrices and determinants.4
T-W-6Matrix equations4
T-W-7Systems of linear equations3
25

Formy aktywności - ćwiczenia audytoryjne

KODForma aktywnościGodziny
A-A-1Participations in classes.38
A-A-2Preparation for classes.10
A-A-3Homework.7
A-A-4Preparation for tests.20
75
(*) 1 punkt ECTS, odpowiada około 30 godzinom aktywności studenta

Formy aktywności - wykłady

KODForma aktywnościGodziny
A-W-1Participation in lectures.25
A-W-2Preparation for lectures.6
A-W-3Studying the literature.5
A-W-4Preparation for exam.12
A-W-5Exam2
50
(*) 1 punkt ECTS, odpowiada około 30 godzinom aktywności studenta
PoleKODZnaczenie kodu
Zamierzone efekty uczenia sięEc_1A_B04_W01The student knows and understands the theoretical basis of the differential calculus of several variables functions, the integral calculus of the one variable function and linear algebra.
Odniesienie do efektów kształcenia dla kierunku studiówEc_1A_W03He / she knows and understands the research methodology in the field of economics and finance at an advanced level
Ec_1A_W06He / she knows and understands at an advanced level issues in the field of quantitative methods (including mathematics, statistics, econometrics and theory of decision-making), as well as methods and tools (including IT) for obtaining, processing and presenting data on socio-economic phenomena and processes
Cel przedmiotuC-3Students will apply mathematical knowledge to the study of economic phenomena.
C-1Students will gain basic knowledge of higher mathematics.
C-2Students will gain basic knowledge necessary to understand subjects using advanced mathematics techniques: statistics, operational research, quantitative methods in economics.
Treści programoweT-W-1Partial derivatives of the functions.
T-W-3The integral of the one variable function.
T-W-6Matrix equations
T-W-7Systems of linear equations
T-W-5Matrices and determinants.
T-W-2Local and global extrema of two variable function.
T-W-4Differential equations.
Metody nauczaniaM-1Information-problem lecture.
Sposób ocenyS-5Ocena podsumowująca: Exam.
Kryteria ocenyOcenaKryterium oceny
2,0
3,0The student knows and understands the theoretical basis of the differential calculus of several variables functions, the integral calculus of the one variable function and linear algebra at a sufficient level
3,5
4,0
4,5
5,0
PoleKODZnaczenie kodu
Zamierzone efekty uczenia sięEc_1A_B04_U01The student can use the learned definitions and theorems of mathematical analysis and linear algebra to solve practical tasks.
Odniesienie do efektów kształcenia dla kierunku studiówEc_1A_U01He / she can use knowledge to identify and interpret socio-economic processes and phenomena with the use of methods and tools appropriate for economics
Ec_1A_U02He / she can apply knowledge to formulate and solve complex and unusual problems concerning socio-economic processes and phenomena in the micro-, meso- and macro-scale
Ec_1A_U04He / she is able to select and apply appropriate methods and tools, including advanced information and communication techniques for analysing and forecasting economic processes and phenomena and solving economic problems
Cel przedmiotuC-3Students will apply mathematical knowledge to the study of economic phenomena.
C-1Students will gain basic knowledge of higher mathematics.
C-2Students will gain basic knowledge necessary to understand subjects using advanced mathematics techniques: statistics, operational research, quantitative methods in economics.
Treści programoweT-A-1Partial derivatives of the functions.
T-A-2Local and global extrema of two variable function.
T-A-4Differential equations.
T-A-3The integral of the one variable function.
T-A-6Matrices and determinants. Matrix equations. Systems of linear equations..
Metody nauczaniaM-2Exercises.
Sposób ocenyS-3Ocena formująca: Evaluation of homework solving (individually and in groups).
S-4Ocena podsumowująca: Test.
S-2Ocena formująca: Evaluation of individual problem solving during classes.
S-1Ocena formująca: Evaluation of activity during classes.
S-5Ocena podsumowująca: Exam.
Kryteria ocenyOcenaKryterium oceny
2,0
3,0The student can use the learned definitions and theorems of mathematical analysis and linear algebra to solve practical tasks at a sufficient level
3,5
4,0
4,5
5,0
PoleKODZnaczenie kodu
Zamierzone efekty uczenia sięEc_1A_B04_K01The student is ready to recognise the importance of mathematics in solving problems concerning economic phenomena and processes
Odniesienie do efektów kształcenia dla kierunku studiówEc_1A_K01He / she is ready to critically assess the possessed knowledge, skills and received content, to recognise the importance of knowledge in solving cognitive and practical problems, and is aware of the need to consult experts in case of difficulties with solving the problem on his / her own
Cel przedmiotuC-3Students will apply mathematical knowledge to the study of economic phenomena.
C-1Students will gain basic knowledge of higher mathematics.
C-2Students will gain basic knowledge necessary to understand subjects using advanced mathematics techniques: statistics, operational research, quantitative methods in economics.
Treści programoweT-A-1Partial derivatives of the functions.
T-A-2Local and global extrema of two variable function.
T-A-4Differential equations.
T-A-3The integral of the one variable function.
T-A-6Matrices and determinants. Matrix equations. Systems of linear equations..
T-A-7Test # 2.
T-A-5Test # 1.
Metody nauczaniaM-1Information-problem lecture.
M-2Exercises.
Sposób ocenyS-3Ocena formująca: Evaluation of homework solving (individually and in groups).
S-4Ocena podsumowująca: Test.
S-2Ocena formująca: Evaluation of individual problem solving during classes.
S-1Ocena formująca: Evaluation of activity during classes.
S-5Ocena podsumowująca: Exam.
Kryteria ocenyOcenaKryterium oceny
2,0
3,0The student is ready to recognise the importance of mathematics in solving problems concerning economic phenomena and processes at a sufficient level
3,5
4,0
4,5.
5,0