The concepts and formulae related to Real Analysis for BSc. (h)Maths, BSc. Mathematics, IIT JAM, TIFR, CSIR NET, et cetera, along with the exam-based useful questions and past year paper questions are discussed and taught in the video that follows. Each video has been summarised via neat and understandable handwritten notes whose link corresponds to the name of the videos.
Videos
Video 1: Introduction to Real Analysis
Video 2: Cantor’s Theorem
Video 3: Counting of Functions & What are Cardinals?
Video 4: Equipotential or Similar Sets
Video 5: No. of One-One & Onto Functions
Video 6: Countability
Video 7: Uncountability
Video 8: Transfinite Numbers & The Algebra of Transfinite Numbers
Video 9: Note From The Author
Video 10: Properties of Sets
Video 11: Counting Sets of Polynomials, Algebraic & Transcendental Numbers
Video 12: Cantor Set
Video 13: Point Set Topology
Video 14: Lower & Upper Bounds of Sets
Video 15: Intervals & Order completeness Property
Video 16: Infemum & Supremum
Video 17: Isolated Points
Video 18 Adherent Point
Video 19: Neighborhood
Video 20 Limit Point of A Set
Video 21 Interior Point
Video 22 Exterior Points
Video 23 Open & Closed Sets
Video 24: Open Sets & It’s Properties
Video 25 Properties Of Closed Sets
Video 26 Boundary & Frontier Points
Video 27 Order Property of Reals
Video 28 Bolzano Weierstrass Theorem
Video 29 Sequences Basics
Video 31 Sequences with Important questions
Video 32 Sequences Special tricks
Video 33 Sequence Convergence Tests
Video 34 Sequence Convergence Tests Part II
Video 35 Series and sequence of partial sums
Video 36 Series of positive terms
Video 37 Comparison Test of series
Video 38 Ratio Test for series
Video 39 Condensation Test
Video 40 Cauchy nth root test
Video 41 Cauchy Integral Test of series
Video 42 Alternating Series
Video 43 Leibnitz Test
Video 44 Link
Don’t forget to…
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Mam I want to crack Amu entance paper of mathematics.Please recommend me the idea ,tricks and syllabus as well as notes for preparing the entrance in mathematics.
Also some sample papers for overview
Follow tripBohemia at YouTube for updates as well.
Mam! Please provide me jam book pdf on the topic sequence
kindly drop a mail at tripbohemia.com@gmail.com for the same
Hi,Ishika can you make videos on lie groups ?
Hello Ishika,
this is Shubham, I wanted to know whether I’m eligibile for M.mat?
I have done BE in Aeronautical Engineering. I had maths for 2 years as a subject.
yes, you are eligible.
Hello Ishika,
this is Shubham, I wanted to know whether I’m eligibile for M.mat?
I have done BE in Aeronautical Engineering. I had maths for 2 years as a subject.
Mam how much tough to cracks iit jam without coching class?
It isn’t tough, but one should know the apt method and books.
Also we should stick to the syllabus.
Hello, I’m shivam I wanted to know that when should I attain the jam examination, should I attempt it before graduation or after my graduation is completed
Should attempt it during your final year of the graduation
Hello Ishika Mam I am Aritra. Please tell me the books for ISI M.Math entrance that can help me on preparation
Kindly refer https://www.youtube.com › watch
Apart from this, for Real Analysis you can refer: R. G. Burtle
for Linear Algebra: Jain & Iyengar
for ODE: M.D.Raisinghania
for Vector & Integral Calculus: M.J.Strauss
for Algebra: Joseph A Gallian / Dummit & Foote
Mam , can you please make a seperate playlist to cover mathematics of jam Ms paper. Well if u think it’s not that necessary, can u please make a topicwise previous year question’s solution video (if possible lengthy one) on every topic. If u get some time , start from Ms paper relevant topics. (Being little selfish here)
Mam I am Sourav, please give me the books in pdf form. And also question sets if available
Msg at telegram group for the pdfs
download telegram app and search tripbohemia
Mam agr pgd private university se kre to vo professer ke liye elegible hogi kya ? Ya farji hogi ??
Yes.
Thank you so much mam for providing these notes with 0 cost…mam main telegram pr hu…i mean trip bohemia grp pr…bt aapne restrict kar diya hain main sms nhi kar pata hu wohaa……mam plz practise k liye asche books konsa hoga bataye
thank you
Awesome job ma’am
Thanks a lot mam for providing such a informative as well as important study material… These videos are so useful for preparation of IIT jam.. Being math’s student we know that ” Every problem has a solution” So for our problems ur the solution box Thanks for helping mam…
Amazing job done by you Ma’m…. You are doing such an important and great job…. May Allah bless you for this much help…. Thanks a lot Ma’m!! Helping the needy students…. Thanks again Mam!
Hello, I want to know for which exam should I appear for higher study. I am in my final year of bsc
To be able to answer your question you need to answer this first… What do you want to pursue in higher studies?
Just want to say thankyou mam
Mam/di can you arrange book on linear algebra and vector calculas for JAM Mathematics plzzz
It is a great blog post.I am always read your blog helpful and informative tips. I like it thanks for sharing this information with us