Mathematical Classical Mechanics

Lior Silberman (University of British Columbia)

Jan 5, 2027 — Apr 27, 2027

About the course

This is a course in formal mechanics from a mathematical point of view, developing in parallel the mathematical machinery and physical ideas. Some of the material will be developed in the problem sets. The graduate side of the course will make a higher emphasis on manifolds and may involve more advanced mathematics

Newtonian mechanics - ODE, tangeng and cotangent vectors
Kinematics - Coordinates, Galilean invariance
Lagrangian mechanics - Calculus of variations, convexity, symmetry and conservation laws
Angular momentum - The rotation group
Hamiltonian mechanics - Manifolds, measures
Quantization - Short sketch of microlocal calculus

Registration

This course is available for registration under the Western Dean's Agreement. To register, you must obtain the approval of the course instructor and you must complete the Western Dean's agreement form , using the details below. The completed form should be signed by your home institution department and school of graduate studies, then returned to the host institution of the course.

Enrollment Details

Course Name: Mathematical Classical Mechanics
Date: Jan 5, 2027 — Apr 27, 2027
Course Number: MATH609E
Section Number: 201
Section Code: MATH 609E

Instructor(s)

Lior Silberman
lior@math.ubc.ca
University of British Columbia

For help with completing the Western Dean’s agreement form, please contact the graduate student program coordinator at your institution. For more information about the agreement, please see the Western Dean's Agreement website

Other Course Details

Course Website

MATH 428/609E

Availability

This course is available to students within the PIMS network, at universities beyond the PIMS network and from industry/government.

Lecture Schedule

Class: TTh 11:00-12:30 at ESB4127 and on Zoom
Office Hours: Fridays 10:30-11:30

Remote Access

Lectures will be held in-person on the UBC campus and on Zoom. Lectures will be recorded and the videos posted to an unlisted but openly accessible YouTube playlist. There will be Zoom office hours and a Piazza discussion board.