Mathematics in Earth Sciences Field of study: Environmental Hazard Engineering
Programme code: W2-S1IZ19.2023

Module name: Mathematics in Earth Sciences
Module code: W2-IZ-S1-001
Programme code: W2-S1IZ19.2023
Semester:
  • winter semester 2024/2025
  • winter semester 2023/2024
Language of instruction: Polish
Form of verification: course work
ECTS credits: 3
Purpose and description of the content of education:
The aim of the education content is getting to know the basic concepts and computational methods in mathematics, in particular: 1) Systematisation of knowledge about sets, functions and their properties. 2) Learning the basics of matrix calculus and solving a system of linear equations Tasks for the expert performance: 1) useful transformations of rational and irrational expressions (e.g. calculating the distance between two points on the Earth), 2) simple matrix operations; 3) calculating the area of the plane, the length of the arc and the volume of the solid, using the appropriate integrals. and also use 1) properties of functions, especially exponential, logarithmic and trigonometric functions for solving basic problems 2) methods of differential calculus for determining the extremes of a function and examining its course.
List of modules that must be completed before starting this module (if necessary): not applicable
Learning outcome of the module Codes of the learning outcomes of the programme to which the learning outcome of the module is related [level of competence: scale 1-5]
the implementation of the module enables a critical assessment of the acquired knowledge, development of analytical skills, searching for various solutions to the problem [K01]
K01 [3/5] K02 [4/5] K03 [3/5]
strengthening the ability to apply the acquired knowledge in the field of mathematics in solving tasks, including engineering tasks [U01]
U01 [3/5] U02 [3/5] U07 [3/5] U08 [3/5]
the aim of the module is to consolidate and deepen knowledge in the field of general mathematics [W01]
W01 [1/5] W02 [1/5] W03 [4/5] W04 [1/5]
Form of teaching Number of hours Methods of conducting classes Assessment of the learning outcomes Learning outcomes
practical classes [W2-IZ-S1-001_fs_1] 30 Explanation/clarification [a05] 
Screen presentation [c07] 
Working with a computer [d01] 
Working with another teaching tool [d03] 
Internship [e05] 
course work K01 U01 W01
The student's work, apart from participation in classes, includes in particular:
Name Category Description
Search for materials and review activities necessary for class participation [a01] Preparation for classes
reviewing literature, documentation, tools and materials as well as the specifics of the syllabus and the range of activities indicated in it as required for full participation in classes
Literature reading / analysis of source materials [a02] Preparation for classes
reading the literature indicated in the syllabus; reviewing, organizing, analyzing and selecting source materials to be used in class
Developing practical skills [a03] Preparation for classes
activities involving the repetition, refinement and consolidation of practical skills, including those developed during previous classes or new skills necessary for the implementation of subsequent elements of the curriculum (as preparation for class participation)
Studying the literature used in and the materials produced in class [c02] Preparation for verification of learning outcomes
exploring the studied content, inquiring, considering, assimilating, interpreting it, or organizing knowledge obtained from the literature, documentation, instructions, scenarios, etc., used in class as well as from the notes or other materials/artifacts made in class
Undertaking, on one’s own initiative and individually, activities aimed at expanding the scope or depth of the teaching content, also beyond the walls of the University [e01] Activities complementary to the classes
a set of activities undertaken independently and on the student's own initiative, aimed at expanding the depth and scope of knowledge and skills, their revision and repetition, retention or verification, also activities carried outside the university, e.g., in a culture promoting or educational institution, a laboratory, in the open air, etc.; also self-education
Attachments
Module description (PDF)
Information concerning module syllabuses might be changed during studies.
Syllabuses (USOSweb)
Semester Module Language of instruction
(no information given)