Courses

Courses

This page contains some of the courses that I have taught in the past and/or I am currently teaching for which I have created (at least partial) WWW pages.

SCIENCE COURSES FOR GENERAL AUDIENCES

PHYSICAL SCIENCE

Prerequisite: Elementary Algebra
Introduction to mechanics, fluids, sound, thermodynamics, electricity, magnetism and their applications to everyday life.

PHYSICS IN FILMS

Prerequisite: Elementary Algebra
Introduction to mechanics, fluids, sound, thermodynamics, electricity, magnetism and their applications to everyday life using hollywood movies.

INTRODUCTORY UNDERGRADUATE COURSES

GENERAL PHYSICS I with Algebra

Prerequisite: Algebra
Introduction to Newtonian mechanics, fluids, sound, thermodynamics, and kinetic theory.

GENERAL PHYSICS II with Algebra

Prerequisite: Algebra and General Physics I.
Introduction to electricity, magnetism, AC & DC circuits, optics, atomic, and nuclear physics.

GENERAL PHYSICS I with Calculus

Prerequisite: Calculus
Introduction to Newtonian mechanics, fluids, sound, thermodynamics, and kinetic theory.

GENERAL PHYSICS II with Calculus

Prerequisite: Calculus and General Physics I.
Introduction to electricity, magnetism, AC & DC circuits, optics, atomic, and nuclear physics.

MODERN PHYSICS I

Prerequisites: General Physics I and II.
An introduction to special relativity and quantum mechanics.

CORE UNDERGRADUATE PHYSICS COURSES

CLASSICAL MECHANICS

Prerequisites: Advanced Calculus, Differential Equations, Physics I and II with Calculus

Topics: Lagrangian Dynamics, Hamiltonian Dynamics, Calculus of Variations, Canonical Transformations, Hamilton-Jacobi Theory. Applications.

MATHEMATICAL METHODS

Prerequisites: Ordinary Differential Equations

Topics: Complex analysis. Vector Spaces. Linear Algebra. Fourier analysis. Orthogonal Polynomials. Special Functions. Green's functions. Partial differential equations.

QUANTUM MECHANICS I

Prerequisites: Classical Mechanics, Mathematical Methods

Topics: Problems with Classical Physics. Old quantum theory. Schrodinger equation and applications in 1 dimension. Simple harmonic oscillator. Semiclassical Approximation.

QUANTUM MECHANICS II

Prerequisite: Quantum Mchanics I

Topics: Theory of Angular Momentum. Spin. Hydrogen-like atoms. Atoms & Molecules. Approximation techniques. Scattering. Bell's inequalities. Quantum Computers.

FUN & INTERDISCIPLINARY COURSES

MATH EXAM PREPARATION

Prerequisite: Enthusiasm, genuine love for math problems.
Theory and problems for topics included in the syllabus of the IMO and Putnam competitions.

THE MATH AND PHYSICS OF THE THEORY OF EVERYTHING

A presentation of humanity's greatest quest: the discovery of the ultimate unifying theory.

ADVANCED UNDERGRADUATE-BEGINING GRADUATE COURSES

GEOMETRICAL CONCEPTS IN PHYSICS

Prerequisite: Advanced Calculus, Complex Analysis, Newtonian Mechanics, Quantum Mechanics
Introduction to topology and manifolds, and their applications to physical theories (e.g. General Relativity).

NUCLEAR & PARTICLE PHYSICS

Prerequisite: Qunatum Mechanics II
Introduction to nuclear and particle physics.

GRADUATE COURSES

QUANTUM FIELD THEORY

Prerequisites: Advanced Quantum Mechanics.
Tools for building and studing theories for the four forces of nature.

ADVANCED QUANTUM FIELD THEORY

Prerequisites: Quantum Field Theory.
Special Topics in QFT.