Given by Assoc. Prof. Emre Yüce, Phys 203 - Introductory Electronics included the following topics in order:
Basic Concepts. Grounding, Voltage and Current Dividers, Kirchoff's Rules
Network Theorems. Thevenin's Theorem, Norton's Theorem, Millman's Theorem
Batteries
Magnetism and AC Currents
Capacitance. Reactance, Impedance
Inductance. Lenz's Law, Transformers, RC and RL Time Constants
AC Circuits. Complex Numbers for AC Circuits
Resonance
Filters. High Pass, Low Pass, Band-Pass, and Notch Filters
Semiconductors. PN-Junction Diodes, Rectifiers, Zener Diodes, Bipolar Junction Transistors
Transistor Amplifiers. Swamped Amplifiers, Common Collector Amplifiers
Given by Prof. Ismail Rafatov, Phys 209 - Mathematical Methods in Physics included the following topics in order. However, as I took this course during the summer school, course content may have been changed.
Introduction to Differential Equations (DEs). Types of DEs.
First Order Ordinary Differential Equations (ODEs). Exact DEs, Separable DEs, Homogenous DEs, Linear DEs, Bernoulli Equation, Population Dynamics and Autonomous Equations
Second Order Linear Differential Equations. Wronskian, Existence and Uniqueness Theorem, Linear Homogeneous DEs, Method of Reduction of Order, Nonhomogeneous Linear DEs, Method of Undetermined Coefficients, Method of Variation of Parameters, Second Order Cauchy-Euler Equation, Oscillations
Series Solutions of Second Order Linear Differential Equations. Frobenius Method
Boundary Value Problems and the Sturm-Liouville Theorem. Fourier Series
Partial Differential Equations (PDEs). Wave Equation, Heat Equation, Laplace Equation
Systems of Linear Differential Equations
Given by Asst. Prof. Ihor Pavlov, Phys 221 - Optics and Waves included the following topics in order:
Concepts of Optics. Reflection and Refraction
Geometrical Optics. Thin Lenses, Two Lens Systems, Matrix Method, Cardinal Points
Optical Instruments. Mirrors, Aberrations
Waves. Superposition
Electromagnetic Theory of Light. Light in Bulk Matter, Fresnel Equations, Propagation of Light
Addition of Waves
Polarisation
Interference and Diffraction
Modern Optics and Introduction to Lasers
Given by Asst.Prof. Dilber Koçak Benli, the course Math 260 - Basic Linear Algebra included the following topics in order:
Systems of Linear Equations. Echelon Forms, Matrix Operations, Homogenous Linear Systems
Determinants
Vector Spaces
Eigenvalues and Eigenvectors. Diagonalisation
Inner Product Spaces. Gram-Schmidt Process, Orthogonal Matrices
Linear Transformations. Rank and Nullity, Change of Basis, Similarity
Given by Prof. Enver Bulur and Asst.Prof. Ahmet Keleş, the course Phys 202 - Modern Physics included the following topics in order:
Introduction to Modern Physics
Special Theory of Relativity.
Particle Behaviour of Electromagnetic Waves. The Photoelectric Effect, Bremsstrahlung Radiation, Compton Scattering
Wave Properties of Matter
Bohr Atom Model
Quantum Mechanics. Schrödinger Equation, Particle in Infinite and Finite Boxes, Particle on a Ring, Harmonic Oscillator Potential
Quantum Theory of the Hydrogen Atom. Radiative Transitions, Zeeman Effect
Many Electron Atoms
Given by Prof. Atalay Karasu, the course Phys 210 - Mathematical Methods in Physics included the following topics in order:
Introduction to Vectors. Coordinate Transformations, Planes and Lines
Differential Vector Operators. Directional Derivative, Gradient, Divergence, and Curl, Divergence Theorem
Path Integrals. Surface Integrals, Divergence, Stokes', and Green's Theorems
Orthogonal Curvilinear Coordinates. Vector Operators in Orthogonal Curvilinear Coordinates
Functions of Complex Variables. Elementary Functions, Analytic Functions, Line Integrals of Complex Functions, Cauchy Integral Formula, Taylor and Laurent Series, Residues and the Residue Theorem, Applications to Real Integrals