Jacobian, Jacobian Properties,Jacobian Example, Differential Calculus

[@prateekthakur1848]

Great Sir. Your lectures are Really helpful !! Anyone with basic knowledge can understand your explanations easily. Thank you Sir!!

[@harshitsharma9152]

Yo bro, 4 years where are you now ???

[@ishantff733]

Timestamps 00:01 - Understanding Jacobian properties enhances problem-solving in higher mathematics. 01:25 - Understanding the Jacobian and its properties in differential calculus. 04:01 - Understanding Jacobian properties helps in evaluating multidimensional functions. 06:26 - Understanding the second property of the Jacobian in partial differentiation. 08:49 - Finding and understanding the Jacobian's value and its applications. 11:12 - Jacobian indicates dependency of functions u, v, w on variables x, y, z. 12:23 - Proving functional dependency using the Jacobian determinant. 14:12 - Understanding dependency in Jacobians through relationships.

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I've not seen anybody's explaination this much of easy ❤️

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Sir mere pass word nhi Aap ko Danywad kahane ke siva 😍👌👌👌👌👌👌🙏🙏🙏🙏🙏🙏🙏

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Lekin aapke paas shyd emoji hai..😁

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Sch mein yrrr

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To bhai word laao or bolo

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kuch orr bhi de skte sir ko😁💀💀

[@balkeshbhardwaj1801]

first of all thanks from the bottom of heart for these lectures. As all of us quarantine at home so such online lecture is only ray of hope for a rural student like me. Your way of teaching with speed ....amazing sir.......kaas kbhi aapse mulakaat ho

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Yeah..... ❤️

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Sir aap aise hi mehnat Krte rhe Ekdin aapka channel engineering mathematics ka best channel hoga. Solute to you my respectable teacher 😊😊😊😊😊

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Hats off to you sir.......... Itna time nahi hai ki ham isai yha par solve karegai

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Sir ek bar video dekhne pr hi total concept, questions clear ho jate h❤️🤟 Tq so much sir❤ ❤❤ ❤❤ ❤❤ ❤❤ ❤❤ ❤❤

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Thanks Sir I m learning much things in advance before my college starts

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Best teacher on yt.. Dhanyavaad sir🙏🏼

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Best teacher on youtube 👍👍👌

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❤best teacher gajendra sir plzz engineering maths ke vimp questions revision krwa do unit 1 to 5

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Sir bhut acha samjaya pura samagh m aagya

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1milion subscriber karado sir ke jesa koi dusra God Nehi milega isse dharti PE. Love from odisha

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Userstood in ur first explanation thanku so much sir

[@the_abhishek182]

Thank you so much sir online class me jacobian ke function of functions of functions ka kuxxh samjh nhi aa rha tha aapki videos dekhi samjh aa gya

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Your classes are very helpful sir .

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Sir your all videos very helpful for all bsc student thanks🙏🙏🙏🙏

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Thank you sir ji and your all videos are very helpful . your greatly teaching style.

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Sir ji engineering mathematics sirf mujhe aap se hi samajh aayi 😘😘

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Thanks for all class sir

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Sir I am still studying.. only because of you. Thanks sir from the depth of my heart 🙏.

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Gajabbb Sir ji 🔥🔥

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Sir plss bsc 1 year coordinate geometry pr bhi classes upload krde this is an humble request from all my class . And thanxx for your precious explanation 👍

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Best lectures i can find over utube. . because .. all the other vedios are full of unnecessary items

[@naznaz7717]

MashaAllah sir aap bhut accha padhate h

[@seopulse-bhaskor]

Great Sir. Your lectures are Really helpful !! I am from Bangladesh .... Anyone with basic knowledge can understand your explanations easily. Thank you Sir!!

[@shrikantpatel1009]

Sir app ke video se dimakh khul jata he kauchhbhi difficult nahi lagata thanks you very much sir 🙏🙏

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Thank u so much sir. Apki videos bhut helpful hain. 👌👌👌👌. Thanks agin

[@gajendrapurohit]

Hello Sandeep Singh Thanks for Subscribing!, your appreciation always motivate us to do such kind work. Preparing CSIR NET ? Then Follow me on Unacademy Link:-unacademy.com/user/Dr-GajendraPurohit Please Share it With Your Friends Want to get notes and link of videos with latest update then Connect me on Whasapp Group Link:- chat.whatsapp.com/Fck1k8gzunMLVL70DdG4eK Keep Watching OUR latest video. Topic:-IIT-JAM Mathematics kzbin.info/www/bejne/m4XTZqqnYsiGjrs Topic:-GATE (Engineering Mathematics) kzbin.info/www/bejne/pmbVc32gaqh-eck Topic:-B.Sc. Mathematics kzbin.info/www/bejne/jYmZgGyKnquMqaM Topic:-IAS Optional Mathematics kzbin.info/www/bejne/pmbVc32gaqh-eck Topic:-Engineering Mathematics kzbin.info/www/bejne/pmbVc32gaqh-eck Please share it with your Friends Thanks Dr.Gajendra Purohit

[@AlaminBro19]

Great video sir....Respect from Bangladesh

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Best sir ever

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sir aap video bnate rhiye great pdate hai aap

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Fantastic explained

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best lecture on jacobian, mazza aagaya , thank you so much sir

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Sir baaki toh aap best padhate ho but thoda speed ka dyan rakhiye.....it is suggestion for your growing channel ✨✨🎉:⁠-⁠)

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bhai 2x speed pai dhekta hu koi dikit nahi ake bar dheklenai ka phir solve karnai ka

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Thank you sir You explained the concept so well

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So helpful video sir tqq maths ko interesting bnane k liye

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[@gajendrapurohit]

Thanks for your comment, your appreciation always motivate us to do such kind work. Please Share it With Your Friends Want to get notes and link of videos with latest update then Connect me on Telegram Link:- t.me/gajendrapurohit Follow me on Unacademy for More Videos on IIT JAM|GATE|CSIR NET unacademy.com/user/Dr-GajendraPurohit Keep Watching OUR latest video. Topic:- Class 12 Maths NCERT - Continuity Important Questions Board Exam 2019 kzbin.info/www/bejne/nqGQh6ejhr2WZrc Topic:- Class 12 Maths NCERT - Crash Course | Revision Class | Board Exam 2019 kzbin.info/www/bejne/bJ_NdKljgdabrpI Topic:- Matrics and Linear Algebra kzbin.info/www/bejne/pmbVc32gaqh-eck Topic:-Fourier Series kzbin.info/www/bejne/hJXSpotrYrB3bLs Topic:-Differential Equation of First Order and First Degree kzbin.info/www/bejne/g5SylGmFiqhqhsU Topic:- Higher Order Differential Equation kzbin.info/www/bejne/qnnUqWSnraZrp5Y Topic:- Second Order Differential equation of Variable Coefficient kzbin.info/www/bejne/Z3mun2x_q76ce68 Topic:- Partial Differential Equation kzbin.info/www/bejne/rIuof2eEjc2gl8k Topic:- Vector Calculus kzbin.info/www/bejne/fJetpYmshtmkiq8 Topic:- Laplace Transform kzbin.info/www/bejne/e3W5e6KqorlobpY Topic:-Asymptote kzbin.info/www/bejne/jYmZgGyKnquMqaM Topic:-Fourier Transform kzbin.info/www/bejne/faW7noZrjq1qjq8 Topic:-Curve Tracing kzbin.info/www/bejne/eZrSimt7odidhZY Topic:-Tracing Of Polar Curves kzbin.info/www/bejne/sH20dmuqhJp6b5I Topic:-Surface area and Volume of Revolution of curve kzbin.info/www/bejne/p2m2iKKvedSBd8k Topic:-Complex Analysis kzbin.info/www/bejne/qmrbiGqLlr-qkJI Topic:-Partial Differentiation kzbin.info/www/bejne/mIXWaKGZdsR0qrs Topic:-Maxima and Minima of Two Variable kzbin.info/www/bejne/hKG1amStmt2kfqM Topic:-Numerical Analysis kzbin.info/www/bejne/qIjchZ5vmtqVga8 Topic:-Differential Calculus kzbin.info/www/bejne/jYmZgGyKnquMqaM Topic:-Integral Calculus kzbin.info/www/bejne/mpOalZKXZdyci8k Topic:-Integral Transform kzbin.info/www/bejne/faW7noZrjq1qjq8 Topic:-Curve Fitting kzbin.info/www/bejne/h6qUinSBj6l0bc0 Topic:-Radius of Curvature kzbin.info/www/bejne/p4icpJ-Il555n8U Topic:-IIT-JAM Mathematics kzbin.info/www/bejne/m4XTZqqnYsiGjrs Topic:-GATE (Engineering Mathematics) kzbin.info/www/bejne/pmbVc32gaqh-eck Please share it with your Friends Thanks Dr.Gajendra Purohit

[@axh_ketchum]

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[@axh_ketchum]

Sir i am preparing for jee adb right now. I had saw your most of the videos but I don't know the topics included in jee adv from eegineering syllabus or helpfull topics for jee adv which makes problem easy to solve from engineering syllabus Can you help me sir please.

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GP Sir Rocks!

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Thankyou so much sir for Jacobian . Sir I am a Electrical Engineering student so i have need it

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Thank you Dr.Gajendra Purohit

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Sir ,It's very beneficial for me

[@gajendrapurohit]

Thanks for your comment, your appreciation always motivate us to do such kind work. Please Share it With Your Friends Want to get notes and link of videos with latest update then Connect me on Telegram Link:- t.me/gajendrapurohit Follow me on Unacademy for More Videos on IIT JAM|GATE|CSIR NET unacademy.com/user/Dr-GajendraPurohit Keep Watching OUR latest video. Topic:- Class 12 Maths NCERT - Continuity Important Questions Board Exam 2019 kzbin.info/www/bejne/nqGQh6ejhr2WZrc Topic:- Class 12 Maths NCERT - Crash Course | Revision Class | Board Exam 2019 kzbin.info/www/bejne/bJ_NdKljgdabrpI Topic:- Matrics and Linear Algebra kzbin.info/www/bejne/pmbVc32gaqh-eck Topic:-Fourier Series kzbin.info/www/bejne/hJXSpotrYrB3bLs Topic:-Differential Equation of First Order and First Degree kzbin.info/www/bejne/g5SylGmFiqhqhsU Topic:- Higher Order Differential Equation kzbin.info/www/bejne/qnnUqWSnraZrp5Y Topic:- Second Order Differential equation of Variable Coefficient kzbin.info/www/bejne/Z3mun2x_q76ce68 Topic:- Partial Differential Equation kzbin.info/www/bejne/rIuof2eEjc2gl8k Topic:- Vector Calculus kzbin.info/www/bejne/fJetpYmshtmkiq8 Topic:- Laplace Transform kzbin.info/www/bejne/e3W5e6KqorlobpY Topic:-Asymptote kzbin.info/www/bejne/jYmZgGyKnquMqaM Topic:-Fourier Transform kzbin.info/www/bejne/faW7noZrjq1qjq8 Topic:-Curve Tracing kzbin.info/www/bejne/eZrSimt7odidhZY Topic:-Tracing Of Polar Curves kzbin.info/www/bejne/sH20dmuqhJp6b5I Topic:-Surface area and Volume of Revolution of curve kzbin.info/www/bejne/p2m2iKKvedSBd8k Topic:-Complex Analysis kzbin.info/www/bejne/qmrbiGqLlr-qkJI Topic:-Partial Differentiation kzbin.info/www/bejne/mIXWaKGZdsR0qrs Topic:-Maxima and Minima of Two Variable kzbin.info/www/bejne/hKG1amStmt2kfqM Topic:-Numerical Analysis kzbin.info/www/bejne/qIjchZ5vmtqVga8 Topic:-Differential Calculus kzbin.info/www/bejne/jYmZgGyKnquMqaM Topic:-Integral Calculus kzbin.info/www/bejne/mpOalZKXZdyci8k Topic:-Integral Transform kzbin.info/www/bejne/faW7noZrjq1qjq8 Topic:-Curve Fitting kzbin.info/www/bejne/h6qUinSBj6l0bc0 Topic:-Radius of Curvature kzbin.info/www/bejne/p4icpJ-Il555n8U Topic:-Jacobian kzbin.info/www/bejne/j4nQlntnrsqpoc0 Topic:-Envelop & Evolutes kzbin.info/www/bejne/fmrbqX-Ojriledk Topic: Infinite Series kzbin.info/www/bejne/aIStaKmZf9WHmpo Topic:-IIT-JAM Mathematics kzbin.info/www/bejne/m4XTZqqnYsiGjrs Topic:-GATE (Engineering Mathematics) kzbin.info/www/bejne/pmbVc32gaqh-eck Please share it with your Friends Thanks Dr.Gajendra Purohit

[@mehrajunnisa1230]

Thnak you SIR .I have learnt a lot from ur videos...

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Sir ur such a wonderful teacher who i have never seen 🙏🙏🙏

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Great Lecture Sir 🔥

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Thanks sir from IIT Madras 💙

[@srikanthalam6712]

Sir I have a one dought . You can write a statement in u,v,w are independent variable then d(u,v,w)= 0 but in this question you can say u,v are dependent d(u,v)= 0 . How?

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Amazing lecture,easy to understand Thanks for helping students sir

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mast sir aap to great ho

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Thank u so much sir🙏🙏🙏

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Great sir mashallah

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Thank you sir very helpful video

[@lakshmijadon4756]

Thanks sir Awesome lecture

[@gajendrapurohit]

Thanks for your comment, your appreciation always motivate us to do such kind work. Please Share it With Your Friends Want to get notes and link of videos with latest update then Connect me on Telegram Link:- t.me/gajendrapurohit Follow me on Unacademy for More Videos on IIT JAM|GATE|CSIR NET unacademy.com/user/Dr-GajendraPurohit Keep Watching OUR latest video. Topic:- Class 12 Maths NCERT - Continuity Important Questions Board Exam 2019 kzbin.info/www/bejne/nqGQh6ejhr2WZrc Topic:- Class 12 Maths NCERT - Crash Course | Revision Class | Board Exam 2019 kzbin.info/www/bejne/bJ_NdKljgdabrpI Topic:- Matrics and Linear Algebra kzbin.info/www/bejne/pmbVc32gaqh-eck Topic:-Fourier Series kzbin.info/www/bejne/hJXSpotrYrB3bLs Topic:-Differential Equation of First Order and First Degree kzbin.info/www/bejne/g5SylGmFiqhqhsU Topic:- Higher Order Differential Equation kzbin.info/www/bejne/qnnUqWSnraZrp5Y Topic:- Second Order Differential equation of Variable Coefficient kzbin.info/www/bejne/Z3mun2x_q76ce68 Topic:- Partial Differential Equation kzbin.info/www/bejne/rIuof2eEjc2gl8k Topic:- Vector Calculus kzbin.info/www/bejne/fJetpYmshtmkiq8 Topic:- Laplace Transform kzbin.info/www/bejne/e3W5e6KqorlobpY Topic:-Asymptote kzbin.info/www/bejne/jYmZgGyKnquMqaM Topic:-Fourier Transform kzbin.info/www/bejne/faW7noZrjq1qjq8 Topic:-Curve Tracing kzbin.info/www/bejne/eZrSimt7odidhZY Topic:-Tracing Of Polar Curves kzbin.info/www/bejne/sH20dmuqhJp6b5I Topic:-Surface area and Volume of Revolution of curve kzbin.info/www/bejne/p2m2iKKvedSBd8k Topic:-Complex Analysis kzbin.info/www/bejne/qmrbiGqLlr-qkJI Topic:-Partial Differentiation kzbin.info/www/bejne/mIXWaKGZdsR0qrs Topic:-Maxima and Minima of Two Variable kzbin.info/www/bejne/hKG1amStmt2kfqM Topic:-Numerical Analysis kzbin.info/www/bejne/qIjchZ5vmtqVga8 Topic:-Differential Calculus kzbin.info/www/bejne/jYmZgGyKnquMqaM Topic:-Integral Calculus kzbin.info/www/bejne/mpOalZKXZdyci8k Topic:-Integral Transform kzbin.info/www/bejne/faW7noZrjq1qjq8 Topic:-Curve Fitting kzbin.info/www/bejne/h6qUinSBj6l0bc0 Topic:-Radius of Curvature kzbin.info/www/bejne/p4icpJ-Il555n8U Topic:-Jacobian kzbin.info/www/bejne/j4nQlntnrsqpoc0 Topic:-Envelop & Evolutes kzbin.info/www/bejne/fmrbqX-Ojriledk Topic: Infinite Series kzbin.info/www/bejne/aIStaKmZf9WHmpo Topic:-IIT-JAM Mathematics kzbin.info/www/bejne/m4XTZqqnYsiGjrs Topic:-GATE (Engineering Mathematics) kzbin.info/www/bejne/pmbVc32gaqh-eck Please share it with your Friends Thanks Dr.Gajendra Purohit

[@continnum_radhe-radhe]

Thanks a lot sir 🔥🔥🔥

[@sanjamsingh7821]

Sir please decrease your speed , it so fast and many time you didnt explain the step and directly skip to result sir i know apke pass time nahi but jo time nikal kar ai hai sikhne ke liye kam se kam unka to socho , great teacher helping us alot 🙏🙏 thank u sir

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Sir, you are doing best for us....

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Salute sir by heart

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Thank you sir.....👍👍👍👍

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Thankyou so much aagain sir

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Mind blowing lecture sir

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ThankYou Sir , for helping us sir. -

[@hiteshdangi5077]

Rings, definition and examples of various kinds of rings, integral domain, division ring, field, characteristic of a ring and integral domain, subring and subfield With examples. Left and right ideals with examples and properties, Principal ideal, principal ideal ring. Maximal, prime and Principal ideals in Commutative rings and their theorems. UNIT -II Quotient ring, Homomorphism and isomorphism in rings, kernel of homomorphism, Fundamental theorem of ring homomorphism. The three isomorphism theorems in rings, Embedding of a ring into a ring with unity and also into a ring of endomorphism of some abelian groups, Quotient field of an integral domain. UNIT - III Definition and various examples of vector spaces, subspaces and examples, Intersection, sum and direct sum of two subspaces, Linear span, Linear dependence, independence and their basic properties and problems. UNIT- IV Basis, Dimension and examples, Finite dimensional vector spaces, Existence theorem for a basis, Extension theorem, Invariance of the number of elements of a basis set, Existence of complementary subspaces of a subspace of a finite dimensional vector space, Dimension of sum (and direct sum) of two subspaces, Quotient space and its dimension. UNIT - V Linear transformations, Rank and Nullity of a linear transformation,Sylvester law of nullity, to obtain a matrix from a linear transformation and vice-versa and their problems relating to the same and different bases. The algebra of linear transformations, dual space and dual basis and dimension of dual space, bidual space and natural isomorphism (Reflexivity).

[@sehzaadkhan4373]

Superb sir

[@gajendrapurohit]

Hello sehzaad Khan Thanks for Subscribing!, your appreciation always motivate us to do such kind work. Preparing CSIR NET ? Then Follow me on Unacademy Link:-unacademy.com/user/Dr-GajendraPurohit Please Share it With Your Friends Want to get notes and link of videos with latest update then Connect me on Whasapp Group Link:- chat.whatsapp.com/Fck1k8gzunMLVL70DdG4eK Keep Watching OUR latest video. Topic:-IIT-JAM Mathematics kzbin.info/www/bejne/m4XTZqqnYsiGjrs Topic:-GATE (Engineering Mathematics) kzbin.info/www/bejne/pmbVc32gaqh-eck Topic:-B.Sc. Mathematics kzbin.info/www/bejne/jYmZgGyKnquMqaM Topic:-IAS Optional Mathematics kzbin.info/www/bejne/pmbVc32gaqh-eck Topic:-Engineering Mathematics kzbin.info/www/bejne/pmbVc32gaqh-eck Please share it with your Friends Thanks Dr.Gajendra Purohit

[@ShashankSingh-jl2wy]

मज़ा आ गया

[@competitionnhub4771]

Sir we are proud of you.

[@hiteshdangi5077]

REAL ANALYSIS Duration: 3 Hours Max. Marks: 75 UNIT - I Real number system: (i) Field, ordered field, upper and lower bounds of a set in an ordered field. Superemum and infimum of a set and their properties. Completeness, Archimedean and denseness properties of an ordered field, the set Q of rational numbers as a non-complete dense. Archimedean ordered field and the set R of real numbers as a complete dense Archimedean ordered field. (ii) Open interval, closed interval, neighbourhood of a number. Real line R-Interior points and limit points of a set in R, open sets and closed sets in R and their properties, Nested Interval property. Bolzano-Weierstrass theorem, Heine Boral theorem, Compact set and connected set and their properties. UNIT - II (i) Sequence, Bounded sequence, monotonic sequence, limit of a sequence, convergent sequence, properties of convergent sequence, Cauchy first and second theorems on limits, subsequence and it's properties, Cauchy sequence and it's properties, Cauchy general principle of convergence, Examples of convergent sequences. (ii) Series: Convergence and divergence of an Infinite series of real numbers, the necessary and sufficient conditions, various tests of convergence problems and their illustrations with regard to infinite series of positive terms. Series: Alternating series and Leibnitz test, absolute and semi (or conditional) convergence. UNIT-III Riemann Integration: Upper and Lower Darboux sum, Upper and Lower Riemann integrals, Riemann integrability of a bounded function in a closed interval, the necessary and sufficient condition for R integrability in terms of Darboux sums, properties of R-integrable functions, Fundamental theorem of integral Calculus. UNIT - IV (i) Uniform convergence of sequences and series of functions, various tests including Mn-test and Weirstrass M-test, relations of uniform convergence with the continuity of the limit and the sum functions and also with term by term differentiation and term by term integration. (ii) Fourier series representation of periodic functions which are even, odd and none of these in the full interval or half the interval. UNIT - V (i) Convergence of improper integrals - various tests and their applications, Evaluation of such integrals. (ii) Equivalent sets and their examples, nature of the relations of equivalence. Denumerable and non denumerable sets, countable and uncountable sets, Nature of subsets of a countable set and that of a denumerable (countable) sets, union of denumerable (countable) sets, Denumerability of the sets of integers and rational numbers and non denumerability of the closed unit interval [0, 1] and the sets of real numbers and irrational numbers. References: 1. T. M. Apostol : Mathematical Analysis. 2. R. R. Goldbeg : Real Analysis 3. Walter Rudin : Principles of Mathematical Ana

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Very help full video

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🙏🙏🙏🙏🙏🙏🙏thanks sir ji