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Heya!!
Today I revised all the topics I covered in Analysis 1 so far and did chapter 8 and 9.
Chapter 8 is about the algebra of limits.In there I learnt how to write proofs using ε-N method.There were quite a number of cases (with examples!).Most of them were good and could be deduced easily from previous theorems and axioms but I did find 4 proofs a little challenging.I have noted them down and I’ll be discussing those with my prof soon.
Chapter 9 was about monotonic sequences.In there I learnt about the monotonic sequence theorem and the proof of this theorem is very cute.This theorem's proof is very intresting because it connects to the theorem where square root of 2 is proved as irrational but it is more general.So it patches all the gaps on the real number line quit nicely.There were some examples too which I liked and I also learnt the steps of proving a theorem when monotonicity is involved.
It was a pretty cool day.
I hope you had a good day too^_^
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The Mayuriit Project
Will I make it? Stay tuned to find out!
206 days left…
[10.26 pm] Tomorrow’s my chemistry final.So just hoping that it goes well.Today I completed Differential calculus and vector calculus course.I still have problems to do though but that is 2 down out of 50 assignments ^^ (Happiest Dance lol).It felt nice to cross of that from my monthly goals spread.
I hope your day went well.If not there is a fresh tomorrow waiting for you.<3
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215 days left to go…
Will I make it ?
The Mayuriit Project.Stay tuned on a Tumblr blog near you.
[11.32 am]I have ODE lab viva soon and I am terrified but hopefully, it will be over soon. I have given myself the task of completing 20 problems of vector calculus.
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[3.20 pm] I did start but there has been a dip in my motivation.So I guess I will just take a nice bath, cook some snacks for myself and my parents and then sit and study again.
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[9.45 pm] I am done for the day.Today I did some problems on vector calculus.I don't know why but I felt tired in the evening and just could not sit and solve stuff so I did not force myself.There is some kind of peace in calculating the angle between two very complex surfaces don't you think? Only if I had more energy to go through it.But now I remember also loving the concept of directional derivative.It is not done yet so gotta continue tomorrow.
222 days left to go..
Joint Admission test for Masters (JAM) is a common admission test conducted every year for admission into M.Sc and other post-graduate science programs at Indian Institute of Technology (IITs), Indian Institute of Science (IISc) and National Institutes of Technology(NITs), organized by alternating institutes every year.
A brave and a somewhat kind soul is trying to make a place for herself in this world.Managing bullies while trying to make new friends is proving to be a challenge.Having clumsy habits is not making her life any better.Self doubt is killing whatever is remaining and all she has left with is hope.Hope that she will get better and her life with it.She intends to do this by appearing for the IIT JAM Mathematics exam.An exam where 15,000 students compete for 500 seats in the best colleges around the country.
Will she make it? How far will she go? We can only wait. And wait. And wait…..
The Mayuriit Project. Coming soon to a Tumblr blog near you