What does FTC say?
It says that if a person takes the derivative of a function and then integrates it over a region on the number line say [a, b] then this is the same as evaluating the function on its endpoints.
What does the Green's Theorem say?
Green's Theorem is the fundamental theorem of calculus in 2 dimensions.Instead of taking the derivative of a single variable function we take the curl of a 2 variable function.Instead of integrating this over a number line we integrate it on the xy plane.Instead of evaluating the function at the two endpoints a and b and taking the difference, we take the line integral of the function and integrate it around the curve in a counterclockwise direction.
What does the stokes' theorem say?
Stokes' theorem is the fundamental theorem of calculus in 3 dimensions. Instead of taking the derivative of a single variable function, we take the three-dimensional curl. Instead of integrating this over a number line, we integrate it on the surface (To evaluate the surface integral one has to dot the vector field with unit normal vectors). Instead of evaluating the function at the two endpoints a and b and taking the difference, we take the line integral of the function and integrate it around the curve on a surface in a counterclockwise direction just like in Green's Theorem.
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
july 21, 2021
Hello! Here’s a picture of some of the books in my bookshelf that I haven’t read yet :). Today is kind of ok, besides the stomach cramps I’m having ;-;. But I’m trying not to let them ruin my mood anyways :)
21st July - What is an unpopular opinion that you have about summer?
Sorry but summer is very overrated. And I don’t particularly enjoy baking in my own sweat
Heya! I finished chapter 12 of Analysis 1.It was I think the toughest chapter so far but it's not that tough that I'll loose my sleep over it.I also got the above book from Amazon today.The title is sexist but so is history 🤷🏻♀️I started from the last chapter and made some notes on it.I also revised chapter 8 today.Otherthan that it was a pretty chill day.I also answered an ask on Tumblr.I thought it was important to answer the question correctly and so I tried to the best of my ability 🐰
Now Nighty Nighty you guys
I hope you had a good day <3
I’m so tired today,Btw my august spread.
Happy August you guys ^_^
Do you have any favourite theorem(s)? I'd love to know xx
oh okay i like this. and of course i have favorite theorems, mostly based on how useful they are. here you go :
fermat's theorem (for congruences)
lagrange's theorem
fundamental theorem of finite abelian groups
density theorem
fundamental theorem of calculus (the one which uses riemann integrals)
wilson's theorem (for congruences)
special mention : squeeze theorem (mainly cause of the name)
Hi guys! As some of you may know, I’ve been trying to switch over to Notion to stream-line all my research progress and notes in one space. Unfortunately, all the examples I found here on Tumblr and on Youtube were more geared towards a bullet journal adaptation of Notion or more undergraduate-focused use of the app, which wasn’t what I wanted to model mine after. Therefore, I decided to play around with Notion myself and ended up making it work for my purposes. Because I am using this with the intention of being more focused and having my priorities straight, I kept the theme pretty basic and efficient. I am still working on learning how to use this app for my purposes but I decided to make this post to show you guys how I set up my Notion. Feel free to message me if you ever have any questions about my set-up or would like to see more of how I set a particular page up. Some toggles and texts are blurred out for research privacy purposes since it is unpublished data. [click on individual images for full res.]
🌿What would be your perfect summer day? 🌿
Hey guys! I wanted to make a challenge that felt achievable to folks while still giving that sweet sense of accomplishment. My mental health has been rough lately so I kind of designed it for myself as I try to find balance between taking care of myself and taking care of my goals.
The rules: Every day for 14 days, study and post a picture of what you worked on. It can be for two minutes or for hours. Doesn’t matter—you did something! There are also mental health prompts for each day I’d love if you answered. They range from pretty light to more thoughtful. Do your best!
I’ll be tracking and reblogging from the tag #TwoWeekStudyChallenge. Please don’t worry about your pics not being aesthetic enough or that what you’re doing isn’t interesting enough. It is, I promise!
This is set up like the 100 Days of Productivity Challenge: no start/end dates. It’s a personal challenge that’s there when you need it!
Week One Prompts
Day 1: What self care did you practice today?
Day 2: What did you do that made you feel proud today?
Day 3: Have you experienced burnout from studying? How did you handle it?
Day 4: How can you improve on taking care of your mental health?
Day 5: What kind of support do you wish you received from your school/university?
Day 6: What popular self-care ritual does nothing for you?
Day 7: What small thing brings you the most comfort?
Week Two Prompts
Day 8: What’s your comfort song?
Day 9: Do you think your long term goals are achievable and healthy? Why or why not?
Day 10: What subject brings you the most joy to study, either for school or on your own?
Day 11: Do you take mental health days? Do you think you should?
Day 12: What’s your creative outlet? What’s a new one you’d like to try?
Day 13: What makes you feel inadequate? Would you think it made a friend inadequate?
Day 14: What makes you feel strong and capable?
|She/her | Maths Undergrad | I love reading too|Personal blog is @silenthoughtss| I follow and like from this account|
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