Applied mathematics 2 Field of study: Materials Science and Engineering
Programme code: 08-S1MAA16.2018

Module name: Applied mathematics 2
Module code: IM1_MAT2
Programme code: 08-S1MAA16.2018
Semester: summer semester 2018/2019
Language of instruction: English
Form of verification: exam
ECTS credits: 5
Description:
The Applied mathematics 2 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. The accomplishment of this objective will require learning issues related to complex numbers and linear algebra, functional series, differential and integral calculus of a real function of many real variables as well as the differential equations theory.
Prerequisites:
The knowledge of mathematics at the level of Applied mathematics 1 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]
Students have the knowledge about complex numbers and linear algebra. Students know theorems of differential and integral calculus of a real function of many real variables as well as basics of the differential equations theory. [IM1A_MAT2_1]
 IM1A_W01 [3/5]
Students can think and act in a creative way. [IM1A_MAT2_2]
 IM1A_K01 [3/5] IM1A_K05 [3/5]
Type Description Codes of the learning outcomes of the module to which assessment is related
Written examination [IM1A_MAT2_w_1]
Verification of the knowledge based on the lectures content, recommended literature and attended laboratory classes.
 IM1A_MAT2_1 IM1A_MAT2_2
Written test [IM1A_MAT2_w_2]
Semestral checking of skills acquired during laboratory classes.
 IM1A_MAT2_1 IM1A_MAT2_2
Test [IM1A_MAT2_w_3]
A cyclical written verification of knowledge about resolving the mathematical problems being the content of laboratory classes.
 IM1A_MAT2_1 IM1A_MAT2_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_MAT2 _fs_1]
The lecture shall enable learning issues related to complex numbers and linear algebra, functional series, differential and integral calculus of a real function of many real variables as well as the differential equations theory. 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_MAT2_w_1]
laboratory classes [IM1A_MAT2 _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_MAT2_w_2] Test [IM1A_MAT2_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)