Physics with Mathematics, Part 2 1100-1BB21

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.