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Numerical Methods

General data

Course ID: 360-MS2-2MNUMa
Erasmus code / ISCED: 11.102 Kod klasyfikacyjny przedmiotu składa się z trzech do pięciu cyfr, przy czym trzy pierwsze oznaczają klasyfikację dziedziny wg. Listy kodów dziedzin obowiązującej w programie Socrates/Erasmus, czwarta (dotąd na ogół 0) – ewentualne uszczegółowienie informacji o dyscyplinie, piąta – stopień zaawansowania przedmiotu ustalony na podstawie roku studiów, dla którego przedmiot jest przeznaczony. / (0541) Mathematics The ISCED (International Standard Classification of Education) code has been designed by UNESCO.
Course title: Numerical Methods
Name in Polish: Numerical Methods
Organizational unit: Faculty of Mathematics
Course groups: (in Polish) Erasmus+ sem. zimowy
ECTS credit allocation (and other scores): 5.00 Basic information on ECTS credits allocation principles:
  • the annual hourly workload of the student’s work required to achieve the expected learning outcomes for a given stage is 1500-1800h, corresponding to 60 ECTS;
  • the student’s weekly hourly workload is 45 h;
  • 1 ECTS point corresponds to 25-30 hours of student work needed to achieve the assumed learning outcomes;
  • weekly student workload necessary to achieve the assumed learning outcomes allows to obtain 1.5 ECTS;
  • work required to pass the course, which has been assigned 3 ECTS, constitutes 10% of the semester student load.

view allocation of credits
Language: English
Type of course:

elective courses

Short description:

Course objectives: Introduction to selected methods of numerical analysis and numerical linear algebra. Practical applications.

Full description:

Course profile: academic

Form of study: stationary

Course type: obligatory

Academic discipline: Mathematics, field of study in the arts and science: mathematics

Year: 2, semester: 3

Prerequisities: none

lecture 15 h. laboratory class 30 h.

Verification methods: lectures, consultations, projects, presentations, studying literature, home works, discussions in groups.

ECTS credits: 5

Balance of student workload:

attending lectures15x1h = 15h

attending laboratories 7x4h + 2h(instruktażu) = 30h

preparation for classes 7x3h = 21h

completing notes after exercises and lectures 7x2h = 14h

consultations 5x1h = 5h

preparing medium size projects 40h = 40h

final exam: preparation and take 12h + 3h = 15h

Quantitative description

Direct interaction with the teacher: 53 h., 2 ECTS

Bibliography:

D.Kincaid, W.Cheney, Numerical Analysis: Mathematics of Scientific Computing, American Mathematical Soc., 2002;

A.Björck, G.Dahlquist, Numerical Methods, Courier Dover Publications, 2003;

J.Stoer, R.Bulirsch, Introduction to Numerical Analysis, Springer, 2002;

Learning outcomes:

Learning outcomes:

Student knows the selected methods of solving systems of linear and nonlinear equations.K_W08, K_W10, K_K01

Student can compute the determinant and the inverse matrix.K_W04, K_W08, K_W10, K_K01

Student knows some methods of computing of the eigenvalues and eigenvectors of a matrix.K_W04, K_W07, K_W08, K_W10, K_K01

Student is able to describe the problem of the approximation and knows some methods of the approximation.K_W08, K_W10, K_U19, K_K01

Student knows some methods of the integral calculus. She/He is able to compute the quadrature for the finite and infinite interval.K_W08, K_W10, K_U05, K_U19, K_K01

Student can solve numerically the ordinary differential equations and some very simple partial differential equations.K_W04, K_W07, K_W08,K_U05, K_U06, K_U16, K_U19, K_K01

Student is able to solve the problems using an application program for mathematics.K_W12, K_K01, K_U20, K_K08

Assessment methods and assessment criteria:

The overall form of credit for the course: final exam

Classes in period "Academic year 2023/2024" (in progress)

Time span: 2023-10-01 - 2024-06-30
Selected timetable range:
Navigate to timetable
Type of class:
Laboratory, 30 hours more information
Lecture, 15 hours more information
Coordinators: Tomasz Czyżycki, Aneta Sliżewska, Marzena Szajewska
Group instructors: Marzena Szajewska
Students list: (inaccessible to you)
Examination: Course - Grading
Laboratory - Grading
Course descriptions are protected by copyright.
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