Elementary Transformations examples(Translation & Magnification) in Conformal Mapping: lecture-3

In this video we will discuss 2 elementary Transformations(Mapping): (a). Translation Two examples of translation - Ex 1. What is the image of the rectangular region of the z-plane bounded by the lines x = 0, y = 0, x = 1, y = 2 under the transformation w = z + (2-i) in the w-plane. @ 01:47 min. Ex 2. What is the image of the triangular region of the z-plane bounded by the lines x = 0, y = 0, x + y = 1 under the transformation w = z + (1+i) in the w-plane. @ 08:02 min. (b) Magnification Two examples of magnification- Ex 1. What is the image of the rectangular region of the z-plane bounded by the lines x = 0, y = 0, x = 1, y = 2 under the transformation w = 2z in the w-plane. @ 14:06 min. Ex 2. What is the image of the triangular region of the z-plane bounded by the lines x = 0, y = 0, x + y = 1 under the transformation w = 1/2 z in the w-plane. @ 19:41 min. watch also: Conformal Mapping (complex analysis): lecture 1    • Conformal Mapping (complex analysis)   Elementary Transformations in Conformal Mapping: lecture-2    • Elementary Transformations in Conformal Ma...   PLAYLISTS LINK : 1. Cauchy integral formula and proof    • Cauchy Integral Theorem and Formula   2. Maxima & Minima (Extreme Values)    • Maxima & Minima (Extreme Values)   3. ε-δ Definition of Limit    • ε-δ Definition of Limit   4. BSc Mathematics    • BSc Mathematics   Email-id: nikhil.gupta34@gmail.com WhatsApp number: 63766-37094 #Translation #Magnification #conformalmapping