Applied mathematics 1 Field of study: Materials Science and Engineering
Programme code: 08-S1MA12.2019

Module name: Applied mathematics 1
Module code: IM1_MAT1
Programme code: 08-S1MA12.2019
Semester:
  • winter semester 2022/2023
  • winter semester 2021/2022
  • winter semester 2020/2021
  • winter semester 2019/2020
Language of instruction: Polish
Form of verification: exam
ECTS credits: 5
Description:
The Applied mathematics 1 module shall enable students learning those mathematical issues, which are the basis for the teaching of other general and field of study subjects in the next semesters of studies, and which are necessary to understand mathematical models and research methods used in the materials science. Owing to that students shall understand the importance of mathematics not only in the description of materials physio-chemical properties, but also in designing new engineering materials for technical and medical applications. The accomplishment of the above objectives will require learning a number of issues from the field of calculus, such as numerical sets, numerical sequences and series, continuity and limits of one-variable function, derivative and integrals of a real function of one real variable.
Prerequisites:
The knowledge of mathematics at the secondary school level is required.
Key reading:
1. F. Leja, Rachunek różniczkowy i całkowy. 2. G. M. Fichtenholz, Rachunek różniczkowy i całkowy, T. 1-3.
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]
Understanding the role of proof in mathematics. Students have theoretical and practical knowledge about sequences of numbers and numerical series, functions as well as the integral and differential calculus of a real function of one real variable. [IM1A_MAT1_1]
 IM1A_W01 [2/5]
Students understand the need of continuous learning. Students can think and act in a creative way. [IM1A_MAT1_2]
 IM1A_K01 [2/5] IM1A_K05 [2/5]
Type Description Codes of the learning outcomes of the module to which assessment is related
Written examination [IM1A_MAT1_w_1]
Verification of knowledge based on the lectures content and recommended literature.
 IM1A_MAT1_1 IM1A_MAT1_2
Written test [IM1A_MAT1_w_2]
Semestral checking of skills acquired during laboratory classes.
 IM1A_MAT1_1 IM1A_MAT1_2
Test [IM1A_MAT1_w_3]
A cyclical written verification of knowledge about resolving the mathematical problems being the content of laboratory classes.
 IM1A_MAT1_1 IM1A_MAT1_2
Form of teaching Student's own work Assessment of the learning outcomes
Type Description (including teaching methods) Number of hours Description Number of hours
lecture [IM1A_MAT1 _fs_1]
The lecture shall enable understanding calculus theorems and methods (numerical sequences and series, differential and integral calculus of a real variable function). The lecture is delivered based on a selected set of handbooks.
 30
The work with the recommended literature comprising independent acquisition of issues presented during the lectures.
 45 Written examination [IM1A_MAT1_w_1]
laboratory classes [IM1A_MAT1 _fs_2]
Practical application of mathematical theorems and methods in the problems solving. Computer assisted classes will be delivered based on discussion and independent problems solving.
 30
Preparation to classes through independent studying of recommended issues.
 45 Written test [IM1A_MAT1_w_2] Test [IM1A_MAT1_w_3]
Attachments
Module description (PDF)
Information concerning module syllabuses might be changed during studies.
Syllabuses (USOSweb)
Semester Module Language of instruction
(no information given)