Took this course as a Free Elective. Given by Lect. İnci Apaydın, the course Stat 201 - Introduction to Statistics and Probability I included the following topics in order: 

• Introduction to Statistics. Graphical Summary of Numerical Data, Histograms

• Numerical Description of Data. Central Tendency Measures, Skewed Plots, Box Plots, Variance, Correlation

• Introduction to Probability. Events, Classical Probability, Conditional Probability, Bivariate Probability, Bayes Theorem

• Probability Distributions. Cumulative Probability, Bernoulli Distribution, Binomial Distribution, Hypergeometric Distribution, Poisson Distribution, Uniform Distribution, Normal Distribution, Exponential Distribution

• Sampling. Standard Error, Central Limit Theorem

• Estimations. Biased and Unbiased Estimators, Confidence Intervals, Levels of Confidence, Sample Size Determination

• Estimation of Two Populations. 

Took this course as a Restricted Elective from the Particle, Nuclear, and Atomic Physics Concentration.  Given by Prof. Sadi Turgut, the course Phys 495 - Group Theory in Physics includes the following topics in order: 

• Introduction to Group Theory.  Group Axioms, Cosets, Product Group, Matrix Groups, Homomorphisms,  Permutation Groups

• Rotations. O(N) and SO(N) Groups

• Physical Systems. Polar Vectors and Pseudovectors  

• Representation Theory. Ehrenfest and Noether Theorems, Direct Sum, Permutation Representations, Irreducible Representations, Characters of Representation, Regular Representations

• Vibrations. Coupled Oscillations, Oscillations Around a Disc, Vibrational Modes of the Water Molecule

• Quantum Mechanical Problems. Bohr-Oppenheimer and Independent Electron Approximations, Dipoles of an Ammonia Molecule

Took this course as a Restricted Elective from the Particle, Nuclear, and Atomic Physics Concentration. Given by Prof. Osman Yılmaz, the course Phys 403 - Nuclear Physics II includes the following topics in order:

• Introduction to Nuclear Physics. Radioactive Decays, Activity, Quantum Theory of Radioactive Decay, Decay Series, Units of Radioactivity, Sources of Radiation

• Interaction of Radiation with Matter. 

• Alpha Decay. Tunneling Mechanism

• Beta Decay. K-Capture, Fermi Theory of Beta Decay

• Gamma Decay. Selection Rules

• Nuclear Reactions. Heavy-Ion Reactions, Cross Sections, Reactions and Energy

• Neutron Physics. Reactions Involving Neutrons, Average Neutron Energy Loss

• Nuclear Fission. Enrichment, Enrichment Methods

• Fission Reactors. Reactor Fuels, Moderators, Light Water Reactors, Heavy Water Reactors, Gas Cooled Reactors, Liquid Metal Fast Breeder Reactors, RBMK Reactors, Small Scale Nuclear Reactors

• Nuclear Fusion. Thermonuclear Reactions, Thermonuclear Fusion in the Sun and Other Stars, Thermonuclear Reactors

• Nuclear Weapons. Gun and Implosive Type Bombs, Neutron Bombs, Dirty Bombs

Took this course as a Restricted Elective from the Particle, Nuclear, and Atomic Physics concentration. Given by Asst. Prof. Ufuk Aydemir, the course Phys 481-  Special Relativity includes the following topics in order: 

• Introduction. Spacetime, Metric, Ether Theory

• Lorentz Transformations. Lorentz and Poincaré Groups, Minkowski Diagrams, Time Dilation, Length Contraction, Relativistic Velocity Addition

• Relativistic Optics. Doppler Effect

• Four-Vectors. One-Forms, Tensors, Tensor products, Contraction, Photon Vectors, Relativistic Collisions

• Electrodynamics in Covariant Form. Four-Current and Four-Potential, Gauge Transformations, Transformations of Electromagnetic Fields, Lagrangian for the Electromagnetic Fields, Canonical Stress-Energy Tensor

• Group Theory of Lorentz Transformations. Lorentz Group SO(3,1),  Generators of the Lorentz Group, Thomas Precession

Took this course as a Technical Elective. Given by Asst. Prof. Ufuk Aydemir, the course Phys 482 - General Relativity includes the following topics in order.

• Introduction. Equivalence Principles, Gravitational Time Dilation

• Review of Special Relativity (Skipped in the lecture notes, see the notes of Phys 481 for a review.)

• Manifolds. Topologies, Metric Spaces, Forms, Tensors

• Curvature. Covariant Derivative, Torsion Tensor, Metric Compatibility, Levi-Civita Connection, Christoffel Symbols

• Parallel Transport. Directional Covariant Derivative, Geodesics, Affine Parameters

• Curvature and the Riemann Tensor. Bianchi Identities, Geodesic Deviation, Ricci Tensor, Ricci Scalar, Einstein Tensor

• Symmetries and Killing Vectors. Isometries, Killing's Equation

• Gravitation. Minimal Coupling Principle, Einstein Field Equations, Lagrangian Formalism of General Relativity, Cosmological Constant, Schwarzschild Solution

• Experimental Tests of General Relativity. Mercury Perihelion Precession, Deflection of Starlight by the Sun, Gravitational Redshift

• Schwarzschild Black Holes. Tortoise Coordinates, Eddington-Finkelstein Coordinates, Kruskal Diagrams, Penrose Diagrams, Star Solutions and Gravitational Collapse

• Other Kinds of Black Holes. Kerr, Reissner-Nordström, and Kerr-Newmann Black Holes, No-Hair Theorem, Ergosphere and the Penrose Process

• Cosmology. Cosmological Principle, Friedmann-Lemaitre-Robertson-Walker (FLRW) Metric, Friedmann Equations, Equations of State, Evolution of the Scale Universe, Dark Matter, Thermal History of the Universe, Hubble's Law 

Took this course as a Restricted Elective from the Particle, Nuclear, and Atomic Physics concentration. Given by Prof. İsmail Turan, the course Phys 407 - Particle Physics I includes the following topics in order:

• Historical Perspective. Timeline, Types of Particles, Conservations, the Eightfold Way

• Fundamental Forces. Feynman Diagrams, Fundamental Vertices, Quantum Electrodynamics (QED), Quantum Chromodynamics (QCD), Weak Interactions, Conservation Laws and Decays

• Relativistic Kinematics. Introduction to Special Relativity (Skipped in the lecture notes. Please see the notes of Phys 481), Collisions

• Symmetries. Noether's Theorem, Introduction to Group Theory, Angular Momentum (for more details, check the lecture notes of Phys 431 ), Spin 1/2 Systems, Flavour Symmetries, Isospin, Parity, Charge Conjugation, G-Parity, CP-Symmetry, CPT-Theorem

• Lifetimes and Cross Sections. Decay Rates, Cross Sections, Differential Cross Sections, Fermi's Golden Rule, ABC Theory as a Toy Model

Took this course as a Free Elective. Given by Prof. Bayram Tekin, the course Phys 513 - Gravitation and Cosmology I includes the following topics in order:

• A Brief History. A Look Back to Newtonian Gravity

• A Review of Special Relativity (DO NOT SKIP THIS!). Abstraction of Symmetries

• Footsteps to General Relativity. Tests of General Relativity

• Mathematical Interlude: Topology and Differentiable Manifolds

• Vectors and Tensors. One-Forms and Dual Spaces, Tensor Algebra

• The Covariant Derivative. Torsion, Curvature, Riemannian Connection, Degrees of Freedom of the Metric

• Geodesics. Geodesic Deviation, Newtonian Analogy

• Symmetries and the Lie Derivative

• A Brief Introduction to Differential Forms. p-Forms, Hodge Duality, Integration of Differential Forms, Generalised Stokes' Theorem, Cartan Formalism of Curvature, Vielbein/Tetrad Formalism

• The Right-Hand Side of the Einstein's Field Equations. Relativistic Fluids, Newtonian FLuids, Energy-Momentum Tensor, Orbital Angular Momentum and Spin

• Relativistic Hydrodynamics. Equations of State, Relativistic Imperfect Fluid