Variational principles. Lagrangian mechanics. Energy and momentum conservation laws. Small oscillations and normal modes. Hamiltonian mechanics.Dynamical systems and their geometry. Order and chaos in Hamiltonian systems

Real vector spaces. Linear algebra. Fourier analysis and partial diffferential equations:Laplace equation. Wave equations. Heat equation. Special functions. Complex analysis.

Electric charges and currents.Boundary value problems of electrostatics and magnetostatics. Maxwell equations. Electromagnetic energy-momentum tensor. Electromagnetic waves. Propagation of waves in dielectric media. Wave guides and resonance cavities. Radiation by accelerated electric charges.

States of a quantum system. Quantum measurements. Complex state vector spaces. Position and momentum operators.Schrödinger?s dynamical evolution. Simple harmonic oscillator. Rotations and angular momentum. Hydrogen atom problem. Spin states of an electron. Identical particle systems. Quantum entanglement.

The meaning, importance and purpose of the research. Types of research. Research approaches. Research and scientific approach. Research criteria. Determination of research problem and solution approaches. Designing the research. Sampling design. Measurement techniques. Data collection techniques. Analysis of data. Presentation of the research and preparation of the research text. Ethic.

Preparation of a talk on a topic in Physics. Obtain experience in giving oral presentations. Learn some of what is happening in the field of physics. Learn about research activities at Maltepe University. Learn about presentation/clarity and attend colloquium.

Exploration of different ways of finding information, defining the scope of a project and doing research, as well as different ways of communicating the results. Includes the stages of defining a topic and formulating a problem statement, selecting and reviewing relevant literature, designing an empirical study as well as performing it, including data collection and analysis, analysing the empirical data, make theoretical conclusions and finally writing and rewriting a written report, a thesis.