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Numerical Methods

General data

Course ID: 360-MS2-2MNUMa
Erasmus code / ISCED: 11.102 The subject classification code consists of three to five digits, where the first three represent the classification of the discipline according to the Discipline code list applicable to the Socrates/Erasmus program, the fourth (usually 0) - possible further specification of discipline information, the fifth - the degree of subject determined based on the year of study for which the subject is intended. / (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" (past)

Time span: 2023-10-01 - 2024-06-30
Selected timetable range:
Go 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)
Credit: Course - Grading
Laboratory - Grading

Classes in period "Academic year 2024/2025" (past)

Time span: 2024-10-01 - 2025-06-30
Selected timetable range:
Go to timetable
Type of class:
Laboratory, 30 hours more information
Lecture, 15 hours more information
Coordinators: Marzena Szajewska
Group instructors: Marzena Szajewska
Students list: (inaccessible to you)
Credit: Course - Grading
Laboratory - Grading
Course descriptions are protected by copyright.
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