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Scientific Computing

General data

Course ID: 1000-135ONA
Erasmus code / ISCED: 11.183 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: Scientific Computing
Name in Polish: Obliczenia naukowe
Organizational unit: Faculty of Mathematics, Informatics, and Mechanics
Course groups: Elective courses for 2nd stage studies in Mathematics
ECTS credit allocation (and other scores): 6.00 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

Prerequisites:

Computational Mathematics 1000-113aMOBa
Mathematical analysis II.2 1000-114aAM4a

Short description:

Scientific computing interactive systems e.g. Matlab, Scilab.memory hierarchy, CPUs abilities, basics of C programming, code optimization techniques, basic numerical packages and libraries, scientific visualization.

Full description:

Scientific computing interactive systems for solving basic computational problems, methods of solving such problems in one of these types of systems e.g. in Matlab, Octave, Scilab. The properties of some numerical problems.

Specifications of architecture of modern personal computers with respect to effectiveness of scientific computations. The memory hierarchy, CPUs abilities, Amdahl's law.

The basics of programming in C language. The optimization techniques of numerical codes - how to write effective codes and how to compile them. Using Fortran libraries in C programs.

Numerical packages for basic computational problems (linear algebra - dense and sparse matrices, solving nonlinear equations and optimization, quadratures, ODEs and PDEs etc)

Scientific visualization of scientific data - tools and methods

Bibliography: (in Polish)

  • Piotr Krzyżanowski, "Obliczenia inżynierskie i naukowe", PWN 2011.
  • Skrypt z przykładowymi zadaniami i ich rozwiązaniami.
Learning outcomes:

Knows the material presented in the lecture and classes in a computer laboratory.

In particular

  • Is able to use the numerical scientific computing environments in practice to solve basic computational tasks in one of the packages: Octave or MATLAB.
  • Can develop functions and scripts in this package in order to solve the computational tasks of applied mathematics with an average degree of complexity.
  • Can construct algorithms for less common computational problems of applied mathematics and implement them in an appropriately selected programming language; sees the relationship between mathematical models and computational tasks.
  • Understands the relationship between computer architecture and the effectiveness of implementation of numerical algorithms.
  • He knows the basic techniques of source and result code optimization and knows how to use specialized numerical libraries in C / C ++ programs.
  • Can make simple visualization of data and results.
  • Understands the limitations of software and hardware used and the dangers of misusing known technologies
Assessment methods and assessment criteria:

An oral exam and a lab project

Classes in period "Summer semester 2024/25" (past)

Time span: 2025-02-17 - 2025-06-08
Selected timetable range:
Go to timetable
Type of class:
Classes, 30 hours more information
Lecture, 30 hours more information
Coordinators: Leszek Marcinkowski
Group instructors: Leszek Marcinkowski
Students list: (inaccessible to you)
Credit: Examination

Classes in period "Summer semester 2025/26" (in progress)

Time span: 2026-02-16 - 2026-06-07
Selected timetable range:
Go to timetable
Type of class:
Classes, 30 hours more information
Lecture, 30 hours more information
Coordinators: Leszek Marcinkowski
Group instructors: Leszek Marcinkowski
Students list: (inaccessible to you)
Credit: Course - Examination
Lecture - Examination
Course descriptions are protected by copyright.
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