الکترومغناطیس- آنالیز برداری (بخش 1)

00:00 – The video begins with a definition of vectors. 04:54 – It then covers operations on vectors. 21:04 – The Cartesian coordinate system is introduced. 23:33 – Vector position and differential vectors are explained. 27:13 – The right‑handedness and orthogonality of the Cartesian system are discussed. 38:02 – Differentials in the Cartesian system are examined. 50:29 – The metric coefficient is introduced. 58:29 – The cylindrical coordinate system is presented. 01:06:45 – Relationships between unit vectors in cylindrical and Cartesian systems are shown. 01:18:10 – Further details on the cylindrical system are provided. 01:27:50 – The spherical coordinate system is introduced. 01:34:15 – Relationships between unit vectors in spherical and Cartesian systems are shown. 01:45:32 – The video concludes with a summary and class problems.