Dalgalar, , Su dalgalari, Sarmal yaylar, Girisim , Faz farki, Isik Teorileri,
Isigin dalga modeli, Fotoelektrik, Isigin tanecik modeli, Foton -Atom Teorisi,
Elektromanyetik dalagalar, Enerji düzeyleri , Bohr atom modeli , Emisyon, Lazer, Yuklu Parçaciklarin Elektrik Alandaki Hareketi,
Yüklü parçaciklara etki eden kuvvet , Parçaciklarin hiz ve ivmeleri , Parçaciklarin yörüngeleri,
Ossiloskop, E/m nin tayinierjisi,
Günes enerjisinin kaynagi , Günes spektrumu, Günes pilleri
Functions, limits, continuity, differentiation and applications, integration, fundamental theorem of calculus, techniques and applications of integration, improper integrals and series, Taylor polynomials, power series, basic transcendental functions,Vector calculus, functions of several variables, directional derivatives, gradient, Lagrange multipliers, multiple integrals and applications, change of variables, coordinate systems, line integrals, Green's theorem and its applications.
Matrix algebra, determinants, Gaussian elimination, Cramer's rule, inverses, systems of linear equations, rank, eigenvalues and eigenvectors, introduction to linear programming
First-order differential equations, linear equations, homogeneous and non-homogeneous, series solutions, the Laplace transform, systems of first-order linear equations, boundary value problems, Fourier series
Sets and counting, probability and relative frequency, conditional probability, Bayes theorem, independence, discrete and continuous random variables, binomial, Poisson and normal distributions, functions of random variables, law of large numbers, generating functions, characteristic functions, moments, compound distributions, central limit theorems, Markov chains and their limiting probabilities
Vectors, kinematics, Newton's laws of motion, work and energy, conservation of
energy, linear momentum and its conservation, rotation of rigid bodies about a
fixed axis, angular momentum and its conservation Equilibrium of rigid bodies, oscillations, gravitation, fluid statics and
dynamics, waves in elastic media, introduction to thermodynamics and kinetic
theory, sound,Thermodynamics, Waves, Optics and Modern Physics Charge and matter, the electric field, Gauss law, electrostatic potential,
capacitance, current and resistance electromotive force and circuits, the
magnetic field, Ampére's law, Faraday's law, inductance, magnetic properties of
matter
.
Review of basic mathematical tools used in mechanics. Dynamics of particles and systems of particles, motion under a central force, conservation of energy and momentum, dynamics of rigid body motion. Introduction to the mechanics of continua. Relativistic dynamics.Review of conservation principles, oscillations in one dimension, damped forced oscillations, non-linear oscillations and introduction to classical perturbation theory. Oscillations in more than one dimension: coupled oscillations, normal modes and coordinates. Introduction to analytical mechanics. Lagrange and Hamilton's equations, conservation principles. Small oscillations, selected applications. Canonical transformations.
A survey of applications include the structure of atoms, molecules and nuclei, radioactivity and nuclear reactions, elementary particles, solid-state physics, astrophysics and cosmology.Fundamental concepts of relativity and quantum physics and their applications to the structures of single and multielectron atoms. Introduction to mathematical foundations of quantum physics. Emphasis on understanding quantal phenomena order of magnitude estimates involving applications of relativity and quantum physics to molecules, nuclei, radioactivity and nuclear reactions, elemetary particles, condensed matter
physics, astrophysics and cosmology.
A treatment of the fundamental concepts of electronic circuits and circuit
components to provide an adequate understanding of electronic techniques used in
modern instrumentation and experimental physics: diode and transistor
characteristics, transistor biasing and thermal stabilization. Small and large
signal low frequency transistor models transistor amplifier circuits,
field-effect transistors. Integrated circuits-operational amplifiers, feedback
amplifiers and oscillators. Impedance matching. Large signal amplifiers,
rectifiers and filters
Review of Maxwell's equations, and derivation of their differential form. Importance of continuity equation and displacement current. Derivation of EM wave equation in vacuum, simple solutions and their basic properties, including Poynting's vector etc. Interaction f radiation with matter, physical basis of the index of refraction. Boundary conditions and simple discussion of reflection and refraction of EM waves from conductors and insulators Vector analysis, solution of electrostatic problems: Poissons's and Laplace's
equations, method of images. Electrostatics in dielectric media, electrostatic
energy. Electric current, magnetic field of steady current, electromagnetic
induction, magnetic properties of matter, magnetic energy.
Motion of the sun, moon, planets and stars as observed by the naked eye, celestial mapping and time-keeping; Kepler's laws of planetary motion planetary physics, stellar parallax and stellar aberration, the Doppler effect, variable stars, the measuement of stellar distances, the proper motion of stars, star clusters and galaxies; gaseous nebulae and planetary nebulae; the Hertzsprung-Russell diagram and stellar evolution, red giants and white dwrarfs; novae and supernovae, pulsars and x-ray sources, neutron stars and black holes, the Big-Bang theory and the expanding universe. Cosmological questions.
Basic postulates of quantum mechanics. Wave and matrix mechanics. The Schrödinger equation. Orbital angular momentum. Exactly soluble bound state problems. The independent perturbation theory and applications. Spin angular momentum. Addition of angular momenta, variational methods.Time dependent perturbation theory and applications. Scattering theory. Born
approximation, partial waves, phase shifts and cross sections. Spin dependent
scattering amplitudes. Introduction to relativistic quantum mechanics.