SylabUZ
Faculty of Exact and Natural Sciences
winter term 2020/2021
Environmental Protection - First-cycle studies leading to Bachelor's degree
Mathematics for naturalists
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
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
Save changes
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)
Recommended reading
Calculus with Analitic Geometry, Earl W. Swokowski, PWS Publishers, 1983
Mathematical Methods for Scientists and Engineers , Donald A. McQuarrie , University Science Books, 2003.
Further reading
1. Introductory Algebra, Wayne A. Strand, PWS Publishers, 1987
Notes
Modified by dr Olaf Ciebiera (last modification: 26-05-2020 08:45)