Zachodniopomorski Uniwersytet Technologiczny w Szczecinie

Administracja Centralna Uczelni - Wymiana międzynarodowa (S3)

Sylabus przedmiotu MATHS:

Informacje podstawowe

Kierunek studiów Wymiana międzynarodowa
Forma studiów studia stacjonarne Poziom trzeciego stopnia
Stopnień naukowy absolwenta
Obszary studiów studia trzeciego stopnia
Profil
Moduł —
Przedmiot MATHS
Specjalność przedmiot wspólny
Jednostka prowadząca Katedra Bioinżynierii
Nauczyciel odpowiedzialny Arkadiusz Telesiński <Arkadiusz.Telesinski@zut.edu.pl>
Inni nauczyciele
ECTS (planowane) 5,0 ECTS (formy) 5,0
Forma zaliczenia zaliczenie Język angielski
Blok obieralny — Grupa obieralna —

Formy dydaktyczne

Forma dydaktycznaKODSemestrGodzinyECTSWagaZaliczenie
warsztatyWR1 20 2,00,38zaliczenie
wykładyW1 25 3,00,62zaliczenie

Wymagania wstępne

KODWymaganie wstępne
W-1Basic mathematical knowledge

Cele przedmiotu

KODCel modułu/przedmiotu
C-1The aim of the course is to acquaint the student with the basic methods of linear algebra and mathematical analysis appearing in the sciences of life. After the course the student should demonstrate: knowledge of basic operations on matrices, the ability to solve systems of equations for calculating the limits of sequences and functions, examination of a function and the calculation of basic integrals.

Treści programowe z podziałem na formy zajęć

KODTreść programowaGodziny
wykłady
T-W-1Complex numbers (basic algebraic properties, geometric interpretation of complex numbers)4
T-W-2Elements of linear algebra (addition, multiplication, and matrix inversion, solving systems of linear equations)4
T-W-3The definition of numerical sequence of numbers, basic operations on strings, over the border, series of numbers4
T-W-4Continuity and derivative functions, properties and its use of derivative.5
T-W-5Extremes function, the study of a function3
T-W-6Indefinite and closed integrals5
25
warsztaty
T-WR-1Linear equations. Solving linear equations (Gauss-Jordan algorithm).2
T-WR-2Matrices. Equality of matrices. Addition of matrices. Scalar multiple of a matrix. Matrix product. Linear transformations. The identity matrix. Non–singular matrix. Symmetric and skew–symmetric matrix3
T-WR-3Determinants. Minors. Cramer’s rule.2
T-WR-4Complex numbers. Geometric representation of complex numbers. Complex conjugate. Modulus of a complex number. Ratio formulae. Argument of a complex number. De Moivre’s theorem.3
T-WR-5Function limits and continuity. Operations on limits. Rational functions. Monotone functions.2
T-WR-6Derivatives of functions of one real variable. L'Hopital’s rule. Function extremes. Study of function.4
T-WR-7Integrals. Indefinite integrals. Riemann's integrals.4
20

Obciążenie pracą studenta - formy aktywności

KODForma aktywnościGodziny
wykłady
A-W-1Participation in lectures25
A-W-2Reading the specified literature40
A-W-3Preparing to pass lectures25
90
warsztaty
A-WR-1Participation in worhshops20
A-WR-2Self solving mathematics tasks20
A-WR-3Preparing to pass workshops20
60

Metody nauczania / narzędzia dydaktyczne

KODMetoda nauczania / narzędzie dydaktyczne
M-1Lectures
M-2Workshops
M-3Self solving mathematics tasks

Sposoby oceny

KODSposób oceny
S-1Ocena formująca: Evaluation of self solving mathematics tasks
S-2Ocena podsumowująca: Test

Zamierzone efekty uczenia się - wiedza

Zamierzone efekty uczenia sięOdniesienie do efektów kształcenia dla dyscyplinyOdniesienie do efektów zdefiniowanych dla obszaru kształceniaCel przedmiotuTreści programoweMetody nauczaniaSposób oceny
WM-WKSiR_3-_??_W01
Student has knowledge about basics of linear algebra and analysis of one real variable functions		——C-1T-WR-1, T-W-4, T-WR-7, T-W-2, T-WR-2, T-WR-4, T-W-3, T-WR-5, T-WR-6, T-W-1, T-WR-3, T-W-6, T-W-5M-2, M-3, M-1S-2, S-1

Zamierzone efekty uczenia się - umiejętności

Zamierzone efekty uczenia sięOdniesienie do efektów kształcenia dla dyscyplinyOdniesienie do efektów zdefiniowanych dla obszaru kształceniaCel przedmiotuTreści programoweMetody nauczaniaSposób oceny
WM-WKSiR_3-_??_U01
Student can solve mathematics tasks		——C-1T-WR-4, T-WR-1, T-WR-2, T-WR-7, T-WR-5, T-WR-6, T-WR-3M-3, M-2S-1

Zamierzone efekty uczenia się - inne kompetencje społeczne i personalne

Zamierzone efekty uczenia sięOdniesienie do efektów kształcenia dla dyscyplinyOdniesienie do efektów zdefiniowanych dla obszaru kształceniaCel przedmiotuTreści programoweMetody nauczaniaSposób oceny
WM-WKSiR_3-_??_K01
Student is aware of the importance of mathematics in life sciences		——C-1T-WR-3, T-WR-1, T-WR-2, T-WR-7, T-WR-6, T-WR-5, T-WR-4M-3S-1

Kryterium oceny - wiedza

Efekt uczenia sięOcenaKryterium oceny
WM-WKSiR_3-_??_W01
Student has knowledge about basics of linear algebra and analysis of one real variable functions		2,0
3,0Student has basic knowledge about linear algebra and derivatives
3,5
4,0
4,5
5,0

Kryterium oceny - umiejętności

Efekt uczenia sięOcenaKryterium oceny
WM-WKSiR_3-_??_U01
Student can solve mathematics tasks		2,0
3,0Student can solve basic mathematics tasks
3,5
4,0
4,5
5,0

Kryterium oceny - inne kompetencje społeczne i personalne

Efekt uczenia sięOcenaKryterium oceny
WM-WKSiR_3-_??_K01
Student is aware of the importance of mathematics in life sciences		2,0
3,0Student knows the meaning of maths in life sciences
3,5
4,0
4,5
5,0

Literatura podstawowa

  1. Williams G., Linear algebra with applications, 2014
  2. Malik S.C., Arora S., Mathematical analysis, 2009

Literatura dodatkowa

  1. Strang G., Introduction to linear algebra, 2009
  2. Dacorogna B., Tanteri C., Mathematical analysis for engineers, 2012

Treści programowe - wykłady

KODTreść programowaGodziny
T-W-1Complex numbers (basic algebraic properties, geometric interpretation of complex numbers)4
T-W-2Elements of linear algebra (addition, multiplication, and matrix inversion, solving systems of linear equations)4
T-W-3The definition of numerical sequence of numbers, basic operations on strings, over the border, series of numbers4
T-W-4Continuity and derivative functions, properties and its use of derivative.5
T-W-5Extremes function, the study of a function3
T-W-6Indefinite and closed integrals5
25

Treści programowe - warsztaty

KODTreść programowaGodziny
T-WR-1Linear equations. Solving linear equations (Gauss-Jordan algorithm).2
T-WR-2Matrices. Equality of matrices. Addition of matrices. Scalar multiple of a matrix. Matrix product. Linear transformations. The identity matrix. Non–singular matrix. Symmetric and skew–symmetric matrix3
T-WR-3Determinants. Minors. Cramer’s rule.2
T-WR-4Complex numbers. Geometric representation of complex numbers. Complex conjugate. Modulus of a complex number. Ratio formulae. Argument of a complex number. De Moivre’s theorem.3
T-WR-5Function limits and continuity. Operations on limits. Rational functions. Monotone functions.2
T-WR-6Derivatives of functions of one real variable. L'Hopital’s rule. Function extremes. Study of function.4
T-WR-7Integrals. Indefinite integrals. Riemann's integrals.4
20

Formy aktywności - wykłady

KODForma aktywnościGodziny
A-W-1Participation in lectures25
A-W-2Reading the specified literature40
A-W-3Preparing to pass lectures25
90
(*) 1 punkt ECTS, odpowiada około 30 godzinom aktywności studenta

Formy aktywności - warsztaty

KODForma aktywnościGodziny
A-WR-1Participation in worhshops20
A-WR-2Self solving mathematics tasks20
A-WR-3Preparing to pass workshops20
60
(*) 1 punkt ECTS, odpowiada około 30 godzinom aktywności studenta
PoleKODZnaczenie kodu
Zamierzone efekty uczenia sięWM-WKSiR_3-_??_W01Student has knowledge about basics of linear algebra and analysis of one real variable functions
Cel przedmiotuC-1The aim of the course is to acquaint the student with the basic methods of linear algebra and mathematical analysis appearing in the sciences of life. After the course the student should demonstrate: knowledge of basic operations on matrices, the ability to solve systems of equations for calculating the limits of sequences and functions, examination of a function and the calculation of basic integrals.
Treści programoweT-WR-1Linear equations. Solving linear equations (Gauss-Jordan algorithm).
T-W-4Continuity and derivative functions, properties and its use of derivative.
T-WR-7Integrals. Indefinite integrals. Riemann's integrals.
T-W-2Elements of linear algebra (addition, multiplication, and matrix inversion, solving systems of linear equations)
T-WR-2Matrices. Equality of matrices. Addition of matrices. Scalar multiple of a matrix. Matrix product. Linear transformations. The identity matrix. Non–singular matrix. Symmetric and skew–symmetric matrix
T-WR-4Complex numbers. Geometric representation of complex numbers. Complex conjugate. Modulus of a complex number. Ratio formulae. Argument of a complex number. De Moivre’s theorem.
T-W-3The definition of numerical sequence of numbers, basic operations on strings, over the border, series of numbers
T-WR-5Function limits and continuity. Operations on limits. Rational functions. Monotone functions.
T-WR-6Derivatives of functions of one real variable. L'Hopital’s rule. Function extremes. Study of function.
T-W-1Complex numbers (basic algebraic properties, geometric interpretation of complex numbers)
T-WR-3Determinants. Minors. Cramer’s rule.
T-W-6Indefinite and closed integrals
T-W-5Extremes function, the study of a function
Metody nauczaniaM-2Workshops
M-3Self solving mathematics tasks
M-1Lectures
Sposób ocenyS-2Ocena podsumowująca: Test
S-1Ocena formująca: Evaluation of self solving mathematics tasks
Kryteria ocenyOcenaKryterium oceny
2,0
3,0Student has basic knowledge about linear algebra and derivatives
3,5
4,0
4,5
5,0
PoleKODZnaczenie kodu
Zamierzone efekty uczenia sięWM-WKSiR_3-_??_U01Student can solve mathematics tasks
Cel przedmiotuC-1The aim of the course is to acquaint the student with the basic methods of linear algebra and mathematical analysis appearing in the sciences of life. After the course the student should demonstrate: knowledge of basic operations on matrices, the ability to solve systems of equations for calculating the limits of sequences and functions, examination of a function and the calculation of basic integrals.
Treści programoweT-WR-4Complex numbers. Geometric representation of complex numbers. Complex conjugate. Modulus of a complex number. Ratio formulae. Argument of a complex number. De Moivre’s theorem.
T-WR-1Linear equations. Solving linear equations (Gauss-Jordan algorithm).
T-WR-2Matrices. Equality of matrices. Addition of matrices. Scalar multiple of a matrix. Matrix product. Linear transformations. The identity matrix. Non–singular matrix. Symmetric and skew–symmetric matrix
T-WR-7Integrals. Indefinite integrals. Riemann's integrals.
T-WR-5Function limits and continuity. Operations on limits. Rational functions. Monotone functions.
T-WR-6Derivatives of functions of one real variable. L'Hopital’s rule. Function extremes. Study of function.
T-WR-3Determinants. Minors. Cramer’s rule.
Metody nauczaniaM-3Self solving mathematics tasks
M-2Workshops
Sposób ocenyS-1Ocena formująca: Evaluation of self solving mathematics tasks
Kryteria ocenyOcenaKryterium oceny
2,0
3,0Student can solve basic mathematics tasks
3,5
4,0
4,5
5,0
PoleKODZnaczenie kodu
Zamierzone efekty uczenia sięWM-WKSiR_3-_??_K01Student is aware of the importance of mathematics in life sciences
Cel przedmiotuC-1The aim of the course is to acquaint the student with the basic methods of linear algebra and mathematical analysis appearing in the sciences of life. After the course the student should demonstrate: knowledge of basic operations on matrices, the ability to solve systems of equations for calculating the limits of sequences and functions, examination of a function and the calculation of basic integrals.
Treści programoweT-WR-3Determinants. Minors. Cramer’s rule.
T-WR-1Linear equations. Solving linear equations (Gauss-Jordan algorithm).
T-WR-2Matrices. Equality of matrices. Addition of matrices. Scalar multiple of a matrix. Matrix product. Linear transformations. The identity matrix. Non–singular matrix. Symmetric and skew–symmetric matrix
T-WR-7Integrals. Indefinite integrals. Riemann's integrals.
T-WR-6Derivatives of functions of one real variable. L'Hopital’s rule. Function extremes. Study of function.
T-WR-5Function limits and continuity. Operations on limits. Rational functions. Monotone functions.
T-WR-4Complex numbers. Geometric representation of complex numbers. Complex conjugate. Modulus of a complex number. Ratio formulae. Argument of a complex number. De Moivre’s theorem.
Metody nauczaniaM-3Self solving mathematics tasks
Sposób ocenyS-1Ocena formująca: Evaluation of self solving mathematics tasks
Kryteria ocenyOcenaKryterium oceny
2,0
3,0Student knows the meaning of maths in life sciences
3,5
4,0
4,5
5,0