I will be using Blackboard to post lecture notes and homework sets in the Spring of 2015.

Classes will meet Tue and Thur 9:40-1055 MOREY 501

Please come to the first class on Thursday Jan 14 if you need my permission to sign up for the course.

• If you know linear algebra, and have taken junior level Electricity & Magnetism and Quantum Mechanics (e.g., Shankar's book), you will know enough.
• There will be no examinations in the course; instead there will be some homework assignments.
• No required textbook. I will post lecture notes.
• The course will be graded on a Pass/Fail basis for Graduate Students.
• The first part of the course will be accessible to undergraduates and to experimental physics graduate students.
• The later parts will aim to bring the subject up to the level of modern research papers in mathematical physics.

Syllabus

• Review of Linear Vector algebra; tensors; wedge products.
• Index notation for tensors
• Curvilinear Co-ordinates in flat space.
• The Sphere; geodesics on the sphere.
• Differential Manifolds.
• Vector Fields and Differential Forms
• Thermodynamics: Caratheodory's form of the second law of thermodynamics.
• Mechanics; Special Relativity.
• Riemannian Geometry; Geodesics.
• Parallel Transport and Curvature.
• Geometrical Optics.
• Electrodynamics.
• General Relativity.
• Fluid Mechanics
• Quantum Mechanics in Curvilinear Co-ordinates