Week |
Subject |
Related Preparation |
1) |
Hamiltonian Equation. Phase space. Statistics and probability. Microcanonic ensemble. Liouville equation. |
|
2) |
Quantum systems. Energy spectrum. Statistical matrix and its properties. Entropy. Entropy in unstable systems. |
|
3) |
Thermal equilibrium and temperature. Quasistatic and adiabatic processes. Internal and external parameters. Pressure. |
|
4) |
Conservation of work and energy in macroscopic system. Reversible processes and entropy. Deviations. |
|
5) |
Thermodynamics first law. Thermodynamics potentials. Thermodynamic equalities. Joule-Tomson and Joule Processes, magnetoclaric effect. |
|
6) |
Thermodynamic second law, Carnot theorem, Clausius inequality. Thermodynamic third law, Nernst theorem. Thermodynamic parameters and number of particles. |
|
7) |
Microcanonic distributions. Equipartion theorem. Classical ideal gas. Gibbs paradox. Canonic Gibbs distribution. |
|
8) |
Maxwell distribution. Grand canonic distribution. Applications of Grand canonic distribution. |
|
9) |
Boltzmann distribution. Free energy and state equation. Ideal gas with two or three atoms. |
|
10) |
Real gases, Van-der-Waals equation. |
|
11) |
Fermi-Dirac and Boze-Einstein distributions. Unstable Fermi and Bose gases. |
|
12) |
Ideal Fermi and Bose gases. |
|
13) |
Degenerate Fermi and Bose gases. Black-body radiation. |
|
14) |
Bose liquid. Super-fluidity. |
|
|
Program Outcomes |
Level of Contribution |
1) |
Ability to assimilate mathematic related concepts and associate these concepts with each other. |
|
2) |
Ability to gain qualifications based on basic mathematical skills, problem solving, reasoning, association and generalization. |
|
3) |
Be able to organize events, for the development of critical and creative thinking and problem solving skills, by using appropriate methods and techniques. |
|
4) |
Ability to make individual and team work on issues related to working and social life. |
|
5) |
Ability to transfer ideas and suggestions, related to topics about his/her field of interest, written and verball. |
|
6) |
Ability to use mathematical knowledge in technology. |
|
7) |
To apply mathematical principles to real world problems. |
|
8) |
Ability to use the approaches and knowledge of other disciplines in Mathematics. |
|
9) |
Be able to set up and develope a solution method for a problem in mathematics independently, be able to solve and evaluate the results and to apply them if necessary. |
|
10) |
To apply mathematical principles to real world problems. |
|
11) |
To be able to conduct a research either as an individual or as a team member, and to be effective in each related step of the project, to take role in the decision process, to plan and manage the project by using time effectively. |
|
12) |
To be able to acquire necessary information and to make modeling in any field that mathematics is used and to improve herself/himself. |
|