00:09 Review of unit four: Complex Variable - Differentiation 03:19 Understanding complex variables and their representation. 08:38 Understanding complex variables and differentiation in engineering mathematics 11:28 Understanding limits of complex functions 16:36 Proving limit as z tends to 0 18:37 Complex variable limit 22:43 Understanding limits and paths in complex variables 24:36 Understanding the concept of continuity in complex variables. 28:41 Understanding the concept of complex variables and differentiation in engineering mathematics 31:24 Understanding the concept of differentiability and taking two paths for limit evaluation. 35:22 Understanding complex variables and differentiation 37:36 Understanding limits in complex variable differentiation 41:35 Understanding the limit concept in complex variable differentiation 43:24 Analytic function is principally differentiable at a point 47:55 Analyzing analytic functions and satisfying the Cauchy Riemann equation 50:11 Understanding differentiation in complex variables with respect to variables 54:12 Understanding the concept of origin and Kochi Raman equation 56:07 Checking for differentiability of a function with analytic and different words 1:00:10 Determine real and imaginary parts separately in complex variables 1:02:37 Understanding differentiation and zero values in complex variables 1:06:56 Understanding differentiation and satisfaction of complex variables 1:09:06 Complex variable differentiation and limits 1:13:18 Understanding the sufficient and necessary conditions for analytic functions 1:15:21 Differentiation using formulas for complex variables 1:19:54 Explanation of deriving derivatives with respect to complex variables 1:22:25 Understanding the concept of analytic functions and differentiability at the origin 1:26:51 Understanding harmonic conjugation and its applications 1:28:58 Understanding harmonic functions and Laplace equation 1:33:41 Construct analytic function using Milne Thomson Method 1:36:13 Understanding the harmonic function and Laplace equation 1:40:56 Understanding the Milne Thaman Method for finding analytic functions. 1:43:03 Analytic function and finding integrating constant 1:47:44 Understanding differentiation in complex variables 1:49:59 Understanding differentiation in complex variables 1:54:22 Understanding differentiation of complex variables with key concepts 1:56:34 Simplifying complex variable expressions 2:02:08 Complex variable differentiation and trigonometry formulas 2:04:24 Integration of Cossack Skj Batu and related formulas 2:08:59 Discussion on differentiability and root 2:11:09 Understanding differentiation in complex variables 2:15:36 Introduction to mapping points in the complex variable plane. 2:17:32 Complex variable mapping and transformation overview 2:21:53 Transformation and calculation of image in W plane 2:23:48 Understanding rotation and transformation in complex variables 2:28:25 Complex variable image extraction and inversion concepts 2:30:27 Explanation of inversion in complex variables 2:34:20 Formulas and strategies for complex variable differentiation 2:36:27 Understanding linear transformations and extracting images 2:40:45 Understanding complex variable differentiation and its implications. 2:43:02 Understanding infinity factors and complex variable differentiation in engineering mathematics 2:47:31 Calculating the value of the root and the image extraction process. 2:49:38 Summarizing complex variable differentiation in engineering mathematics unit 4 2:53:55 Understanding fixed and invariant points for transformations
@dr.anuj.fearlessinnocentmath5 ай бұрын
Thanks dear
@AbhishekSingh-zb2mf5 ай бұрын
Best way of teaching maths 2 Behatreen
@dr.anuj.fearlessinnocentmath5 ай бұрын
Thanks dear❤❤
@SubhashRaut-n7l6 ай бұрын
sir iam from nepal but your explanation method is mind blowing sir
@dr.anuj.fearlessinnocentmath6 ай бұрын
Thanks dear for love and support❤❤❤
@krishhiranwal64855 ай бұрын
Its great 😊 har theory or equation ko Smjh and k baad example ese jaldi Smjh aata h 😃 Thankuh sir ✨😇
@dr.anuj.fearlessinnocentmath5 ай бұрын
@@krishhiranwal6485 Very nice dear ❤❤❤
@krishhiranwal64855 ай бұрын
Smjhane k baad😅
@rishirajgupta85036 ай бұрын
Very helpful ❣🙏
@dr.anuj.fearlessinnocentmath6 ай бұрын
Thanks dear❤
@PriyanshiKumari-n9i5 ай бұрын
Thank you sir 🙏
@dr.anuj.fearlessinnocentmath5 ай бұрын
Welcome dear❤❤❤
@shagungupta46286 ай бұрын
Sir,It is very helpful😊
@dr.anuj.fearlessinnocentmath6 ай бұрын
@@shagungupta4628 thanks dear❤
@jeeriders56286 ай бұрын
First view and first like !!
@dr.anuj.fearlessinnocentmath6 ай бұрын
Thanks dear💕💕💕
@Shivi_345366 ай бұрын
Sir mere 67 marks in mathematics 1st aapki wajah se thank you so much sir i am so happy 🙏🙏😊😊
@dr.anuj.fearlessinnocentmath6 ай бұрын
Excellent work dear 💕💕💕💕💕 Congratulations🎉🎉🎉🎉
@kamalmittal89515 ай бұрын
Thanks sir 👍👍👍👍👍👍
@dr.anuj.fearlessinnocentmath5 ай бұрын
Welcome dear❤❤❤
@Guru_Chaudhary5 ай бұрын
at 1:31:00 sir e^xcosy ka diff toh -e^xsiny hai toh apne positive kyun liya ?? please help
@dr.anuj.fearlessinnocentmath5 ай бұрын
x ke respect me hai dear
@VIKASPAL-bl2hj5 ай бұрын
Sir iska pdf kaha milega
@dr.anuj.fearlessinnocentmath5 ай бұрын
Iska PDF nhi hai dear
@VIKASPAL-bl2hj5 ай бұрын
Pls sir available Kara do short note ke liya sahi rhegaa
@shubhikasharma02036 ай бұрын
2:10:39 sir isme fi(1) or fi(2) kisko manna ye kaise pta chlega maine fi(1) ko fi(2) mana hai.. to iota wala term zero ho ja rha..🙄
@dr.anuj.fearlessinnocentmath6 ай бұрын
Chi to btaya hai Case 1 , 2, 3,4 Uski samjhna hai dear Copy me likh lo to difference pta lagega
@shruti67936 ай бұрын
Sir I scored 68/70 in maths 1 Only bcuz of ur lectures and imp questions sir. A big big thanku sir❤❤
@dr.anuj.fearlessinnocentmath6 ай бұрын
Excellent work dear💕💕💕 Congratulations🎉🎉🎉🎉
@shruti67936 ай бұрын
@@dr.anuj.fearlessinnocentmath thank u sir😊❤
@Animated-6706 ай бұрын
@@shruti6793didi math m kaise likhe copy
@shruti67936 ай бұрын
@@Animated-670 jaise sir solution provide krte hn wse
@princearyaarya72635 ай бұрын
Thankyou sir
@dr.anuj.fearlessinnocentmath5 ай бұрын
Welcome dear❤❤
@adityarawat19786 ай бұрын
Sir, Please bring 1 shot of Statistics also !
@dr.anuj.fearlessinnocentmath6 ай бұрын
Very soon dear
@23ECE018_AbdullahSheikh5 ай бұрын
where to get the pdf of this
@dr.anuj.fearlessinnocentmath5 ай бұрын
Notes PDF telegram per
@sidh096 ай бұрын
sir please important questions ka solving session bana dijiye kaafi help hogi
@dr.anuj.fearlessinnocentmath6 ай бұрын
G
@Payal-20035 ай бұрын
Sir please back vale bacho k liya bhi 1 video bna do ki kis trah sa taiyari kare jise vo 1 bar m clear kar le you tube par koi video nhi h jo back vale backo ko Guidedenc de sir please aap bna do bhout help hogi 😢😢😢
@dr.anuj.fearlessinnocentmath5 ай бұрын
Ok dear
@Payal-20035 ай бұрын
@@dr.anuj.fearlessinnocentmath thank you so much sir ❤ You are a great teacher 😇
@showman_016 ай бұрын
sir isme unit ke sare topics covered hai kya ??????
@dr.anuj.fearlessinnocentmath6 ай бұрын
Yes only for revision
@shubhikasharma02036 ай бұрын
Sir aapne CR equation in polar form ni btaya hai..😞😞 vo v syllabus m h
@dr.anuj.fearlessinnocentmath6 ай бұрын
@@shubhikasharma0203 btaya hai dear
@shubhikasharma02036 ай бұрын
@@dr.anuj.fearlessinnocentmath sorry sir
@tani564kkk6 ай бұрын
59:09
@Abdulify56 ай бұрын
Sir 2nd semester ke exam kab se hain??
@dr.anuj.fearlessinnocentmath6 ай бұрын
15 july ke baad
@Abdulify56 ай бұрын
Sir humare teachers keh rhe h 1st week of August m
@dr.anuj.fearlessinnocentmath6 ай бұрын
@@Abdulify5 No 20 se 25 july ke beech me start honge
@i_am_dumb10706 ай бұрын
@@dr.anuj.fearlessinnocentmath par tab kavad yaatra start hogi jo 2nd aug tak chalegi sir isliye Aug 1st week see hii lag raha h humko bhi
@theonly_ashu5 ай бұрын
2:13:00
@abisthebesth18106 ай бұрын
Sir math 4 ka bhi one short dal digiye sir please🙏 it is most important for us, please🙏 sir
@dr.anuj.fearlessinnocentmath6 ай бұрын
Yes dear, very soon
@mirchisister10716 ай бұрын
Sir unit 5 ka one shot de dijiye please🙏🙏 bahut achha samjh aata hai aapke lectures se plz unit 5 upload kijiye jldi se plz🙏
@dr.anuj.fearlessinnocentmath6 ай бұрын
Ek lecture ker diya hai dear
@AryanMishra-kp9nl6 ай бұрын
50:54
@SHU-be2lr6 ай бұрын
Sir when you gonna make one shots for maths 4..?
@dr.anuj.fearlessinnocentmath6 ай бұрын
Next week dear 💕
@SHU-be2lr6 ай бұрын
@@dr.anuj.fearlessinnocentmath thank you sir
@shrijalshrivastav48736 ай бұрын
Sir math 4ka bhi one shot please bohot tuf subject hai
@shrijalshrivastav48736 ай бұрын
Please exam se phele start kr dete
@dr.anuj.fearlessinnocentmath6 ай бұрын
Ok dear
@dr.anuj.fearlessinnocentmath6 ай бұрын
Yes dear
@ayushkumarupadhyay98366 ай бұрын
Thanku sir . Sir apne mongs method padhyay hai pde mai??
@dr.anuj.fearlessinnocentmath6 ай бұрын
No dear I will upload soon
@ak.tripathiprince6 ай бұрын
Sir M2 unit 5 ka v one shot dal dijiye... It's humble request to you sir pls... 🙏
@dr.anuj.fearlessinnocentmath6 ай бұрын
Saturday tak aa jayega dear
@BTechbaba7185 ай бұрын
❤
@dr.anuj.fearlessinnocentmath5 ай бұрын
@@BTechbaba718 ❤❤❤❤❤❤
@satyammishra34146 ай бұрын
sir M3 ka all unit mportant topic per video bna dijiye sem ke liye 🙏🙏
@dr.anuj.fearlessinnocentmath6 ай бұрын
Ok dear
@brahman2056 ай бұрын
Sir unit 5ka one shot bhei dijiye bahut jarurt h
@dr.anuj.fearlessinnocentmath6 ай бұрын
kzbin.info/aero/PL5Dqs90qDljX6Ra3qVOaPbQG1Fgg7Gd1u&si=pi2SumyGxdp2DDfe Isme last me 2 video
@hemantpatel91486 ай бұрын
Thankyou sir ❤ sir jld se unit 5 ka one shot dal dijiye sir
@dr.anuj.fearlessinnocentmath6 ай бұрын
Yes dear❤❤❤
@vivvveekkyadav26535 ай бұрын
❤❤❤
@dr.anuj.fearlessinnocentmath5 ай бұрын
❤❤❤❤❤
@harshverma-h3g6 ай бұрын
Sir linear algebra start kariye
@dr.anuj.fearlessinnocentmath6 ай бұрын
Yes I will start soon
@harshitgupta60586 ай бұрын
sir M4 unit 5 ki playlist update kar dijiye f test SQC etc add kar dijiye
@dr.anuj.fearlessinnocentmath6 ай бұрын
Ok dear 💕💕💕
@YuvrajSingh-cj7kk6 ай бұрын
Sir ab time nhi h pura padhne ka to one shot dekh le iss chap ka ho jaayega kaam
@dr.anuj.fearlessinnocentmath6 ай бұрын
Dekh lo bahi
@ShambhaviRai-om6vg5 ай бұрын
Aur koi option h kya Bhai aapke pass 😅😂
@rdarkshadow046 ай бұрын
Sir pdf available kra dijiye
@dr.anuj.fearlessinnocentmath6 ай бұрын
Telegram per lecture notes hai dear
@mirchisister10716 ай бұрын
Sir aapke lectures ke pdf notes kaha se milenge please btaiye sir iss lecture me utna clear nhi dikh rhe words please pdf kaha se milega btaiye sir 🙏🙏🙏🙏
@dr.anuj.fearlessinnocentmath6 ай бұрын
Dear aapki network problem hogi
@dr.anuj.fearlessinnocentmath6 ай бұрын
Notes telegram per hai
@sameersaifiWebWizards5 ай бұрын
Sir maths 4 ka all unit important questions bata do please time kam ha
@dr.anuj.fearlessinnocentmath5 ай бұрын
Ok dear
@ayush_rohila6 ай бұрын
Hello Sir I have got 70 out of 70 in Engineering mathmatics 1 (External Exam) Thanku So much Sir Overall SGPA 9
@dr.anuj.fearlessinnocentmath6 ай бұрын
Excellent work dear Congratulations 🎉🎉🎉🎉 Best of luck for your bright future.
@ayush_rohila6 ай бұрын
Thanku so much Sir
@Animated-6706 ай бұрын
Bro copy kaise likhto ho @@ayush_rohila
@NOTMEITSFOR2456 ай бұрын
Sir video bhot late ho gyi 😢 But thanks for the beautiful lecture ❤
@dr.anuj.fearlessinnocentmath6 ай бұрын
Dear abhi university exam me kaam aayega
@nandinisharma3696 ай бұрын
Sir pls provide a marking scheme for aktu exams of each unit