Courses and Course Materials
Taught by Tristan Hübsch

Spring 2010:

Mathematical Methods II [ e-Gear ]: A graduate core course, sequel to Mathematical Methods I.

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.

Electromagnetic Theory I: A graduate core course.

A comprehensive and detailed treatment of electrostatic and magnetostatic configurations, Maxwell’s equations and the polarizability and susceptibility of dielectric and magnetic media.

 

Quantum Mechanics II [ e-Gear ]: A graduate core course, sequel to Quantum Mechanics I.

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.

 

To make an appointment, please consult my weekly schedule (Summer schedule) first. Thank you.

Summer 2009:

Elementary Particle Physics (Univ. of Novi Sad, in Serbian): An advanced undergraduate/introductory graduate block-course.

General Physics (PHYS-001) [ e-Gear ]: An undergraduate introductory physics course - Part 1.

General Physics (PHYS-002) [ e-Gear ]: An undergraduate introductory physics course - Part 2.

Fall 2009:

Mathematical Methods I [e-Gear ]: An advanced undergraduate, introductory graduate course.

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.

 

Quantum Mechanics I [e-Gear ]: A core graduate course.

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.

 

 

On-line materials for the courses I taught:

Physics Programs:

General Physics I [ e-Gear ]: An undergraduate introductory physics course - Part 1.

General Physics II[ e-Gear ]: An undergraduate introductory physics course - Part 2.

Physics for Architects [ e-Gear ]: An undergraduate introductory course.

Physics I for Scientists & Engineers [ e-Gear ]: An undergraduate core course.

Prerequisites include Calculus I.

Physics II for Scientists & Engineers [ e-Gear ]: An undergraduate core course.

Prerequisites include Calculus I.

Intro. to Modern Physics [ e-Gear ]: An introductory undergraduate course.

Prerequisites include a good understanding of introductory classical physics (courses PHYS 013 & 014), calculus I & II (MATH 156 & 157), and an open mind.

Physical Mechanics [ e-Gear ]: An advanced undergraduate / introductory graduate course.

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.

Mathematical Methods I [e-Gear ]: An advanced undergraduate / introductory graduate course.

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.

Mathematical Methods II [ e-Gear ]: A graduate core course, sequel to Mathematical Methods I.

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.

Thermodynamics and Kinetic Theory: An advanced undergraduate / introductory graduate course.

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.

Elementary Particle Physics (Univ. of Novi Sad, in Serbian): An advanced undergraduate/introductory graduate block-course.

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.

Quantum Mechanics I [e-Gear ]: A core graduate course.

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.

Quantum Mechanics II [ e-Gear ]: A graduate core course, sequel to Quantum Mechanics I.

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.

Prerequisites PHYS-182 or PHYS-208.

Advanced Math. Methods I [ e-Gear ]: An advanced graduate course.

Prerequisites include a good working command of "methods of mathematical physics".

Advanced Math. Methods II [ e-Gear ]: An advanced graduate course.

Prerequisites include a good working command of "methods of mathematical physics".

Computational Methods: A graduate upper-core (PhD) course.

The course discusses computational algorithms used to solve scientific problems, estimates of numerical errors, presentation of the scientific background, methods and results.

Theoretical Physics I [ e-Gear ] : An advanced graduate course: a "crash-course" in Quantum Field Theory.

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 ).

Advanced Topics in Astrophysics II [ e-Gear ]: An advanced graduate course.

Prerequisites include a good working command of "methods of mathematical physics".

Mathematics Programs:

Fundamentals of Mathematics: Introduction to algebra.

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.

Introduction to College Mathematics: An extension of Fundamental Mathematics.

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.

College Algebra and Trigonometry: An undergraduate introductory course.

This course lays the foundation for the study of mathematics and its applications in science, business, economics, social science, art, and music.

Differential Equations: An undergraduate (Math-major) core course.

The course introduces and developing methods for solving various ordinary differential equations and linear systems, and discusses their applications.

Methods of Applied Math I [e-Gear ]: An advanced undergraduate, introductory graduate course.

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.

Methods of Applied Math II [ e-Gear ]: A graduate core course, sequel to Mathematical Methods I.

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.

Quantitative Methods (for Masters in Business Administration): A course on business applications of linear algebra.

Applies quantitative methods to systems management (Decision Theory), and/or methods of decision-making with respect to sampling, organizing, and analyzing empirical data.

Combinatorics: A graduate upper-core course.

This course introduces some essential topics in discrete, combinatorial mathematics and samples their applications in sciences and otherwise.

Ordinary Differential Equations: A graduate core (MS) course.

The course introduces and developing methods for solving various ordinary differential equations and linear systems, and discusses their applications.

Complex Analysis II: The second part of a 2-semester course.

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.

Other Efforts:

QEM/NAFEO Workshop: Learning to Research.