MATH 180 Lectures:

  • 1-Introduction

  • 2-Manifolds and Metric

  • 3-Vectors as Tensors

  • 4-Co-vectors as Tensors

  • 5-Metric as Tensors

  • 6-Tensors

  • 7-Intro To Special Relativity

  • 8-Special Relativity (Details)

  • 9-The Spacetime Connection

  • 10-Spacetime Curvature

  • 11-Symmetries of the Curvature Tensor

  • 12-Relativistic Fluids and the Compressible Euler Equations

  • 13-Continuum Theory of Newtonian Gravity

  • 14-Derivation of the Einstein Curvature Tensor

  • 15-Special Solutions of G=\kappa T