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Physics with Mathematics, Part 2

General data

Course ID: 1100-1BB21
Erasmus code / ISCED: 13.0 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. / (0512) Biochemistry The ISCED (International Standard Classification of Education) code has been designed by UNESCO.
Course title: Physics with Mathematics, Part 2
Name in Polish: Fizyka z matematyką cz. II
Organizational unit: Faculty of Physics
Course groups:
ECTS credit allocation (and other scores): (not available) 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: Polish
Short description:

The course is focused on presentation of basic notions and statements of classical and quantum physics and on mathematical tools used in solutions of practical problems encountered in these areas of physics. This is a continuation of the course started in the previous semester.

Full description:

The course is focused on presentation of basic notions and statements of classical and quantum physics related to matter and its molecular nature. We will consider electrical and magnetic properties of matter, properties of electromagnetic radiation and electromagnetic interactions, thermodynamic and statistical description of matter and processes occurring in material media. Simultaneously we will be discussing mathematical tools used in solving practical problems encountered in these areas of physics. This is a continuation of the course started in the previous semester.

Program:

1. Function series (Taylor series).

2. Complex numbers and functions of complex variables, elementary complex analysis.

3. Systems of linear equations, linear transformations, (matrices, determinants, vector product).

4. Vector space of functions (functions as vectors, scalar product of functions, normalized and orthogonal functions, spaces of square-integrable functions, Hilbert space, eigenvalue, eigenvector, eigenfunction).

5. Ordinary differential equations.

6. Differential operators, variations of functions..

7. Fourier and Laplace transforms.

8. Partial differential equations.

9. Calculus of probability (basic notions, conditional probability).

10. Electricity and magnetism

11. Wave Motion.

12. Electromagnetic radiation.

13. Elements of fluid mechanics.

14. Elements of solid state physics.

15. Elements of thermodynamics and statistical physics.

Prerequisites and assessment form: The attendance of the first part of the course together with its accompanying practical classes is required. Extensive self-study is also necessary.

Attendance of the classes is obligatory. Examination consists of a written test. To be admitted to the test, students must have accumulated minimum of 50% of possible grades from three performance tests and from written solutions to homework problems.

Description by Jan Antosiewicz, November 2009.

Bibliography:

1. E. Shilov, Elementary real and complex analysis, Dover Publications Inc., New York.

2. J. W. Dettman, Introduction to linear algebra and differential equations, Dover Publications Inc., New York.

3. M. Tenenbaum, H. Pollard, Ordinary differential equations, Dover Publications Inc., New York.

4. G. E. Hay, Vector and tensor analysis, Dover Publications Inc., New York.

5. D. Halliday, R. Resnick, J. Walker, Fundamentals of Physics (vol. 1-5), Wiley

6. F. Bueche, E. Hecht, Schaum's outline of college physics, Dover Publications Inc., New York.

7. A. Halpern, 3000 Solved problems in physics, Dover Publications Inc., New York.

8. P. Atkins, Physical Chemistry, W. H. Freeman and Comp., New York.

This course is not currently offered.
Course descriptions are protected by copyright.
Copyright by University of Warsaw.
Krakowskie Przedmieście 26/28
00-927 Warszawa
tel: +48 22 55 20 000 https://uw.edu.pl/
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