1. SylabUZ
2. Wydział Nauk Ścisłych i Przyrodniczych
3. semestr zimowy 2020/2021
4. Environmental Protection - pierwszego stopnia z tyt. licencjata
5. Mathematics for naturalists

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Mathematics for naturalists - opis przedmiotu

Cel przedmiotu

Presentation the basic methods of linear algebra and analysis. Supporting students with the basic mathematical tools essential to formulating and solving typical problems related to describing the natural phenomenons.

Wymagania wstępne

Zapisz zmiany

Ability of mathematics on the socondary school level

Zakres tematyczny

LECTURE

• Complex numbers, complex plane. Cannonical and polar forms. Basic operations.  (2h)
• Operations on matrices. Determinant and inverse matrix. (1h)
• Systems of linear equations.  Cramer's formula. (1h)
• Gauss elimination method. (1h)
• Numerical seqences. Limits of seqences. Basic theorems. (2h)
• Limits of functions. Definition and theorems. (1h)
• Continuity of functions. Theorems on continuous functions. (1h)
• Derivative of function. Definition and basic theorems (2h)
• Indefinite integral. Definition and properties.  (2h)
• Methods of integration. Definite integral. (2h)

EXERCISES

• Basic operations on complex numbers. Cannonical and polar forms (2h)
• Operations on matrices. Finding determinant and inverse matrix. (1h)
• Systems of linear equations.  Applying Cramer's formula. (1h)
• Applying Gauss elimination method to slolving systems of linear equations. (1h)
• Numerical seqences. Limits of seqences. Basic theorems. (2h)
• Limits of functions. Applying the theorems to finding limits of functions. (1h)
• Continuity of functions. Applying theorems on continuous functions. (1h)
• Derivative of function. Evaluating derivatives. (2h)
• Indefinite integral. Evaluating indefinite integrals.  (2h)
• Calculating definite integral. (1h)
• colloquium (1h)

Metody kształcenia

Lecture: traditional,presentation

Exercises: solving typical problems illustrative subject of the lecure.

 

Efekty uczenia się i metody weryfikacji osiągania efektów uczenia się

Opis efektu	Symbole efektów	Metody weryfikacji	Forma zajęć

Warunki zaliczenia

Final grade: Arithmetic mean of grades of the final test (lecture) and the coloqium (exercises). (both must be positive)

Literatura podstawowa

1. Calculus with Analitic Geometry, Earl W. Swokowski, PWS Publishers, 1983
2. Mathematical Methods for Scientists and Engineers, Donald A. McQuarrie, University Science Books, 2003.

Literatura uzupełniająca

1. Introductory Algebra, Wayne A. Strand, PWS Publishers, 1987

Uwagi

Zmodyfikowane przez dr Olaf Ciebiera (ostatnia modyfikacja: 26-05-2020 08:45)