Relativity 107b: General Relativity Basics - Manifolds, Covariant Derivative, Geodesics

Full relativity playlist:    • Relativity by eigenchris   Powerpoint slide files: https://github.com/eigenchris/MathNot... Leave me a tip: https://ko-fi.com/eigenchris You are free to continue watching to the next video, but if you feel you are getting confused, here are some other videos on geodesics and the covariant derivative: TC 15 - Geodesics + Christoffel Symbols on Sphere:    • Tensor Calculus 15: Geodesics and Christof...   TC 16 - Geodesics on Sphere example:    • Tensor Calculus 16: Geodesic Examples on P...   TC 17 - Flat Space Definition:    • Tensor Calculus 17: The Covariant Derivati...   TC 17.5 - Component Definition:    • Tensor Calculus 17.5: Covariant Derivative...   TC 18 - Extrinsic Definition:    • Tensor Calculus 18: Covariant Derivative (...   TC 19 - Intrinsic Definition:    • Tensor Calculus 19: Covariant Derivative (...   TC 20 - Abstract Definition:    • Tensor Calculus 20: The Abstract Covariant...   0:00 Introduction 1:35 Equivalence Principle and Manifolds 6:15 Extrinsic vs Intrinsic views of Manifolds 10:29 Tangent Vectors on Manifolds 16:20 Covariant Derivative Notation 22:10 Levi Civita Connection 28:58 Geodesics 33:44 Summary