The main focus: solving first and second order differential
equations with boundary conditions, as they appear in physics and
engineering applications. Integral transforms and equations are also
introduced, and the course finishes with an elementary introduction to
the calculus of variation.
This course discussed the Lorentz-covariant formulation of electrodynamics, the
interaction of the electromagnetic field with charged particles in
motion. It then focuses on specific configurations and arrangements,
involving:
(1) electromagnetic waves in nonconducting media, cavities and waveguides,
(2) the multipole expansion of electromagnetic fields,
radiation, scattering and diffraction, and various radiative processes.
The course finishes with a brief review of electrodynamic feedback and
the classical models of charged particles.
This course continues where Quantum Mechanics I left off,
discussing time-dependent perturbations, the measurement conundrum, and
other developments, including the application of symmetry and quantum
fields statistical mechanics.
The course began with a review of linear algebra, and
vector and tensor calculus, continuing with the
eigenvalue/eigenfunction problem and corresponding linear algebra. It
then covers infinite series and products, complex analysis and residue
calculus, and finishes with exploring Euler’s Gamma integral
and its cousins as a tool to solve integrals.
A
comprehensive and detailed treatment of electrostatic and magnetostatic
configurations, Maxwell’s equations (and all the physics laws they
encompass), the response of dielectric and magnetic media to
electromagnetic fields, as well as the special theory of relativity
stemming from the spacetime symmetries of Maxwell’s equations.
Prerequisites include a good understanding of introductory
classical physics (courses PHYS 013 & 014), calculus I
& II (MATH 156 & 157), and an open mind.
The aim of the course is to cover: (1) mechanics
of systems of particles, (2) noninertial
reference systems, (3) mechanics of rigid
bodies in 2 and 3 dimensions,
(4) Lagrangian mechanics, (5) dynamics
of oscillating systems.
The course began with a review of linear algebra, and
vector and tensor calculus, continuing with the
eigenvalue/eigenfunction problem and corresponding linear algebra. It
then covers infinite series and products, complex analysis and residue
calculus, and finishes with exploring Euler’s Gamma integral
and its cousins as a tool to solve integrals.
The main focus: solving first and second order differential
equations with boundary conditions, as they appear in physics and
engineering applications. Integral transforms and equations are also
introduced, and the course finishes with an elementary introduction to
the calculus of variation.
This course introduces the classical study of thermal processes, using
macroscopic, collective variables of the materials considered. The
course develops following the standard introduction of the four Laws of
Thermodynamics, discussing their applications en route.
This is the complemented with a microscopic derivation of the
phenomenological foundations of thermodynamics, based on the molecular
and atomic fundamental nature of Nature.
A
comprehensive and detailed treatment of electrostatic and magnetostatic
configurations, Maxwell’s equations (and all the physics laws they
encompass), and the response of dielectric and magnetic media to
electromagnetic fields.
This
course introduces the concepts of fundamental physics, gives a
hystorical sketch of the development of elementary particle physics and
describes the basics of contemporary high energy physics. It covers
(1) the definition of classification of “elementary particles” as
currently known by experimental physics, (2) the principles of
gauge invariance, (3) analysis of fundamental processes (Feynman
diagrams), and (4) unification of all matter and interaction,
including supersymmetry and (super)strings.
The
aim of the course is to give a brief but uncompromising introduction to
the contemporary theoretical description of the fundamental physics of
elementary particles and fields. A review of the scientific
methodology, practical aspects such as dimensional analysis, and the
field during the XX century introduces the concepts and ideas in their
historical perspective, and is followed by an introduction to
Lorentz-covariant Feynman calculus. This leads to the Quark Model and
the gauge theory (abelian and non-abelian) foundation of Yang-Mills
theories of electromagnetic and strong interactions, including an
introduction to renormalization and quantum anomalies.
This
is the second part of the of the course aiming to give a brief but
uncompromising introduction to the conteporary theoretical description
of the fundamental physics of elementary particles and fields. After a
brief review of material covered in the first part, this course will
discuss the chirality of fermions and the (so-called V–A) theory of
weak interactions, then its unification with electromagnetism (the
Higgs mechanism) and the formulation of the Standard Model. This leads
to the need to go beyond, discussing Grand-Unified Theories, general
relativity and geometrization of physics, supersymmetry and finally
(super)strings, ushering the Student into the fundamental physics of
the III millennium.
The course begins with reviewing the experimental
indications of the quantum nature of Nature. The study of basic general
properties and simple 1-dimensional models introduces the basic ideas
and prepares for the study of semiclassical and operatorial techniques
in Quantum Mechanics. The study of angular momentum and spherically
symmetric potentials then finishes this first part of
the course in Quantum Mechanics.
This course continues where Quantum Mechanics left off,
discussing time-dependent perturbations, the measurement conundrum, and
other developments, including the application of symmetry and quantum
fields statistical mechanics.
Physical Mechanics II:
A dual undergraduate/graduate (classical mechanics) course, sequel to
Physical Mechanics I.
The course discusses
computational algorithms used to solve scientific
problems, estimates of
numerical errors, presentation of the
scientific background, methods and results.
Prerequisites include an excellent working knowledge of
"methods of mathematical physics", classical and quantum mechanics,
electrodynamics and the general ideas of statistical physics.
Theoretical Physics II : An advanced graduate course: a "crash-course" in supersymmetry.
Prerequisites include an excellent working knowledge of
"methods of mathematical physics", classical and quantum mechanics,
electrodynamics... and quantum field theory (Th.Phys.I ).
Emphasis will be on representations and operations on numbers and
sets, as well as introductory concepts of basic statistical measurements,
variable expressions, and first-degree equations.
Emphasis will be on representations and operations on polynomials
and rational expressions. Algebraic and graphical methods of solving linear and
quadratic equations will be discussed. The course will end by a brief
introduction to complex numbers, radical expressions, and conical sections.
Precalculus: A precalculus course with applications to business, life and social sciences.
The course will review algebraic functions and techniques, explore analytic geometry, introduce
exponential and logarithmic functions, include matrices and determinants as techniques for
solving linear systems in three or more variables and emphasize real-life problems and
applications.
The course began with a review of linear algebra, and
vector and tensor calculus, continuing with the
eigenvalue/eigenfunction problem and corresponding linear algebra. It
then covers infinite series and products, complex analysis and residue
calculus, and finishes with exploring Euler’s Gamma integral
and its cousins as a tool to solve integrals.
The main focus: solving first and second order differential
equations with boundary conditions, as they appear in physics and
engineering applications. Integral transforms and equations are also
introduced, and the course finishes with an elementary introduction to
the calculus of variation.
Applies
quantitative methods to systems management (Decision Theory), and/or
methods of decision-making with respect to sampling, organizing, and
analyzing empirical data.
The
course revisits the maximum and minimum modulus principles, continues
with the study of meromorphic functions and analytic continuation. This
leads into Conformal mapping, harmonic functions and the Picard
Theorems.