Change of Coordinates: Notation and Examples

This lecture introduces the notation for change of coordinates, covering the book, exercises, and exams. It explains the concept using examples and discusses the notation used in exercises and exams. The lecture progresses to illustrate the concept with examples of plain coordinates and discusses the verification of formulas. The instructor demonstrates the application of the notation in various scenarios, emphasizing the importance of understanding the notation introduced. The lecture concludes with a detailed explanation of the notation's application in different coordinate systems and the verification of formulas.