Mathematics for naturalists - course description

General information

Course name	Mathematics for naturalists
Course ID	11.1-WA-OS2P-Mat-S17
Faculty	Faculty of Exact and Natural Sciences
Field of study	Environmental Protection
Education profile	academic
Level of studies	First-cycle studies leading to Bachelor's degree
Beginning semester	winter term 2020/2021

Course information

Semester	1
ECTS credits to win	3
Course type	obligatory
Teaching language	english
Author of syllabus	dr Tomasz Bartnicki

Classes forms

The class form	Hours per semester (full-time)	Hours per week (full-time)	Hours per semester (part-time)	Hours per week (part-time)	Form of assignment
Class	15	1	-	-	Credit with grade
Lecture	15	1	-	-	Credit with grade

Aim of the course

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.

Prerequisites

Ability of mathematics on the socondary school level

Scope

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)

Teaching methods

Lecture: traditional,presentation

Exercises: solving typical problems illustrative subject of the lecure.

Learning outcomes and methods of theirs verification

Outcome description	Outcome symbols	Methods of verification	The class form

Assignment conditions

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

Notes

Modified by dr Olaf Ciebiera (last modification: 26-05-2020 08:45)

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