Linear Algebra - Politechnika Świętokrzyska

Linear Algebra - Politechnika Świętokrzyska

Projekt współfinansowany ze środków Unii Europejskiej w ramach Europejskiego Funduszu Społecznego
MODULE DESCRIPTION
Z-LOG-085I
Algebra liniowa
Linear Algebra
2012/2013
Module code
Module name
Module name in English
Valid from academic year
MODULE PLACEMENT IN THE SYLLABUS
Level of education
Logistics
1st degree
Studies profile
General
Subject
(1st degree / 2nd degree)
(general / practical)
Form and method of conducting
classes
Specialization
Unit conducting the module
Module co-ordinator
Full-time
(full-time / part-time)
All
Department of Mathematics
Sylwia Hożejowska, PhD
Approved by:
MODULE OVERVIEW
Type of subject/group of subjects
Basic
Module status
Compulsory
Language of conducting classes
Polish
Module placement in the syllabus semester
1st semester
Subject realisation in the academic
year
Winter semester
Initial requirements
No requirements
Examination
No
Number of ECTS credit points
3
Method of
conducting
classes
Per semester
Biuro Projektu
al. Tysiąclecia Państwa Polskiego 7
25-314 Kielce
tel. 41-34-24-209, e-mail: [email protected]
(basic / major / specialist subject / conjoint / other HES)
(compulsory / non-compulsory)
(winter / summer)
(module codes / module names)
(yes / no)
Lecture
Classes
15
15
Laboratory
Project
Other
Projekt ,,Politechnika Świętokrzyska – uczelnia na miarę XXI w.’’
Program Operacyjny Kapitał Ludzki Priorytet IV Działanie 4.1, Poddziałanie 4.1.1
na podstawie umowy z Ministerstwem Nauki i Szkolnictwa Wyższego UDA – POKL.04.01.01-00-381/10-00
Projekt współfinansowany ze środków Unii Europejskiej w ramach Europejskiego Funduszu Społecznego
TEACHING RESULTS AND THE METHODS OF ASSESSING TEACHING RESULTS
The aim of the module is to introduce complex numbers, familiarise students with basic
Module
terms of a matrix equation, apply it in solving systems of linear equations, and discuss the
target
tools of analytic geometry in the three-dimensional space.
Effect
symbol
W_01
W_02
W_03
U_01
U_02
U_03
U_04
K_01
K_02
Teaching results
A student is able to describe complex solutions of
simple polynomial equations.
A student is able to suggest methods of solving
systems of equations.
A student is able to differentiate simple objects in
three-dimensional space.
A student is capable of solving simple polynomial
equations in a set of complex number.
A student can apply a matrix equation particularly in
solving systems of equations and use vector
calculus.
A student can interpret mutual position of straight
lines and planes in the three-dimensional space.
A student is capable of calculating measurements of
simple objects in the three-dimensional space.
A student is aware of the liability for his/her own
work.
A student realizes the need of self-betterment and
improving his or her competences regarding
mathematical methods used in solving typical
engineering issues.
Teaching
methods
(l/c/l/p/other)
Reference to
subject effects
l/c
K_W01
l/c
K_W01
l/c
K_W01
c
K_U08
c
K_U08
c
K_U08
c
K_U08
l/c
K_K04
l/c
K_K01
Reference to
effects of a
field of study
T1A_W01
T1A_W07
T1A_W01
T1A_W07
T1A_W01
T1A_W07
T1A_U08
T1A_U09
T1A_U08
T1A_U09
T1A_U08
T1A_U09
T1A_U08
T1A_U09
T1A_K05
S1A_K04
T1A_K01
S1A_K01
S1A_K06
Teaching contents:
Teaching contents as regards lectures
Lecture
number
Teaching contents
1
Complex numbers. Solving polynomial equations.
2
Matrix equation.
3
Determinant of a matrix. Invertible matrix
4
Sets of linear equations.
5
Vectors, scalar, vector, and mixed product.
Biuro Projektu
al. Tysiąclecia Państwa Polskiego 7
25-314 Kielce
tel. 41-34-24-209, e-mail: [email protected]
Reference to teaching results
for a module
W_01
U_01
K_01
K_02
U_02
K_01
K_02
U_02
K_01
K_02
W_02
U_02
K_01
K_02
U_03
U_04
K_01
K_02
Projekt ,,Politechnika Świętokrzyska – uczelnia na miarę XXI w.’’
Program Operacyjny Kapitał Ludzki Priorytet IV Działanie 4.1, Poddziałanie 4.1.1
na podstawie umowy z Ministerstwem Nauki i Szkolnictwa Wyższego UDA – POKL.04.01.01-00-381/10-00
Projekt współfinansowany ze środków Unii Europejskiej w ramach Europejskiego Funduszu Społecznego
6
A straight line and plane in space.
7
Quadric surfaces.
W_03
U_03
K_01
K_02
W_03
K_01
K_02
Teaching contents as regards classes
Class
number
Teaching contents
1
Calculations in a set of complex numbers. Solving polynomial
equations.
2
Calculations on matrices.
3
Calculating determinants of matrices. Determining an invertible
matrix.
4
Solving systems of linear equations.
5
Vectors, scalar product, vector, and mixed product.
6
A straight line and plane in space.
7
Quadric surfaces
Reference to teaching
results for a module
W_01
U_01
K_01
K_02
U_02
K_01
K_02
U_02
K_01
K_02
W_02
U_02
K_01
K_02
U_03
U_04
K_01
K_02
W_03
U_03
K_01
K_02
W_03
K_01
K_02
The methods of assessing teaching results
Effect
symbol
W_01
W_02
W_03
U_01
U_02
U_03
U_04
K_01
K_02
Methods of assessing teaching results
(assessment method, including skills – reference to a particular project, laboratory assignments, etc.)
A written test
A written test
A written test
A written test
A written test
A written test
A written test
Observing a student’s work during classes, discussions during classes
Observing a student’s work during classes, discussions during classes
Biuro Projektu
al. Tysiąclecia Państwa Polskiego 7
25-314 Kielce
tel. 41-34-24-209, e-mail: [email protected]
Projekt ,,Politechnika Świętokrzyska – uczelnia na miarę XXI w.’’
Program Operacyjny Kapitał Ludzki Priorytet IV Działanie 4.1, Poddziałanie 4.1.1
na podstawie umowy z Ministerstwem Nauki i Szkolnictwa Wyższego UDA – POKL.04.01.01-00-381/10-00
Projekt współfinansowany ze środków Unii Europejskiej w ramach Europejskiego Funduszu Społecznego
STUDENT’S INPUT
ECTS credit points
Student’s
workload
15
15
Type of student’s activity
1
2
3
4
5
6
7
8
Participation in lectures
Participation in classes
Participation in laboratories
Participation in tutorials (2-3 times per semester)
Participation in project classes
Project tutorials
Participation in an examination
9
Number of hours requiring a lecturer’s assistance
10
Number of ECTS credit points which are allocated for assisted work
11
12
13
14
15
15
17
18
19
Unassisted study of lecture subjects
Unassisted preparation for classes
Unassisted preparation for tests
Unassisted preparation for laboratories
Preparing reports
Preparing for a final laboratory test
Preparing a project or documentation
Preparing for an examination
20
Number of hours of a student’s unassisted work
21
Number of ECTS credit points which a student receives for
unassisted work
7
(1 ECTS point=25-30 hours)
37
(sum)
1.5
15
15
15
45
(sum)
1.5
(1 ECTS point=25-30 hours)
Total number of hours of a student’s work
ECTS credit points per module
22
23
1 ECTS point=25-30 hours
24
Work input connected with practical classes
25
Number of ECTS credit points which a student receives for
practical classes
Total number of hours connected with practical classes
82
3
15+7+15+15=52
1.9
(1 ECTS point=25-30 hours)
Biuro Projektu
al. Tysiąclecia Państwa Polskiego 7
25-314 Kielce
tel. 41-34-24-209, e-mail: [email protected]
Projekt ,,Politechnika Świętokrzyska – uczelnia na miarę XXI w.’’
Program Operacyjny Kapitał Ludzki Priorytet IV Działanie 4.1, Poddziałanie 4.1.1
na podstawie umowy z Ministerstwem Nauki i Szkolnictwa Wyższego UDA – POKL.04.01.01-00-381/10-00