Micromass Definition and 28 Threads

I took a test for a scholarship that had mathematical "riddles" just like Micromass' challenges. It was multiple choice and I guessed for some, but others I was able to do or at least use process of elimination. I didn't think I did that well, but I advanced to the second round. Could I have...

Time for the october challenge! This time a lot of people sent me suggestions for challenges. I wish to thank them a lot! If you think of a good challenge that could be included here, don't hesitate to send me! Ranking [and previous challenges] here...

September, schools restart, summer ends, but a new challenge is here: Ranking here: https://www.physicsforums.com/threads/micromass-big-challenge-ranking.879070/ RULES: 1) In order for a solution to count, a full derivation or proof must be given. Answers with no proof will be ignored. 2) It...

August is already well underway, so time for some nice challenges! This thread contains both challenges for high schoolers and college freshmen, and for more advanced people. Also some previously unsolved challenges are omitted. Ranking here...

micromass submitted a new PF Insights post Omissions in Mathematics Education: Gauge Integration Continue reading the Original PF Insights Post.

Here is a thread of challenges made especially for high school students and first year university students. All the following problems can be solved with algebra, trigonometry, analytic geometry, precalculus and single-variable calculus. That does not mean that the question are all easy. For...

Summer, July, hot weather: every reason is good enough for some new challenge questions. NEW: ranking can be found here: https://www.physicsforums.com/threads/micromass-big-challenge-ranking.879070/ For high school and first year university students, there is a special challenge thread for you...

List of challenges: Integral Challenge: https://www.physicsforums.com/threads/micromass-big-integral-challenge.867904/ Counterexample Challenge: https://www.physicsforums.com/threads/micromass-big-counterexample-challenge.869194/ Counterexample Challenge 2...

In this thread, I present a few challenging problems from all kinds of mathematical disciplines. RULES: In order for a solution to count, a full derivation or proof must be given. Answers with no proof will be ignored. It is fine to use nontrivial results without proof as long as you cite...

micromass submitted a new PF Insights post Some Misconceptions on Indefinite Integrals Continue reading the Original PF Insights Post.

micromass submitted a new PF Insights post Groups and Geometry Continue reading the Original PF Insights Post.

micromass submitted a new PF Insights post How to self-study algebra. Part II: Abstract Algebra https://www.physicsforums.com/insights/wp-content/uploads/2016/06/aastock6.png Continue reading the Original PF Insights Post.

micromass submitted a new PF Insights post Friends, strangers, 7825 and computers Continue reading the Original PF Insights Post.

We had integrals, so we have to have series as well. Here are 10 easy to difficult series and infinite products. Up to you to find out the exact sum. Rules: The answer must be a finite expression. The only expressions allowed are integers written in base 10, the elementary arithmetic...

Let's do some simulations. Below are 5 simulation problems that require a computer to solve. Use any language you want. Post the answers (including graphics) and code here! Any use of outside sources is allowed, but do not look up the question directly. For example, it is ok to go check...

micromass submitted a new PF Insights post Problems with Self-Studying Continue reading the Original PF Insights Post.

If we're having a thread about probability theory, then we must have one on statistics too! The following questions are all very open-ended and thus multiple answers may seem possible. Your goal is to find a strategy to find the answer to the questions. Furthermore, you must provide some kind of...

Probability theory is very nice. It contains many questions which are very easy to state, but not so easily solved. Let's see if you can solve these questions. For an answer to count, not only the answer must be given but also a detailed explanation. Any use of outside sources is allowed, but...

And we continue our parade of counterexamples! Most of them are again in the field of real analysis, but I put some other stuff in there as well. This time the format is a bit different. We present 10 statements that are all of the nature ##P## if and only if ##Q##. As it turns out, only one of...

micromass submitted a new PF Insights post How to self-study analysis. Part II: intermediate analysis Continue reading the Original PF Insights Post.

Well, the last thread of counterexamples was pretty fun. So why not do it again! Again, I present you a list with 10 mathematical statements. The only rub now is that only ##9## are false, thus one of the statements is true. Provide a counterexample to the false statements and a proof for the...

I adore counterexamples. They're one of the most beautiful things about math: a clevery found ugly counterexample to a plausible claim. Below I have listed 10 statements about basic analysis which are all false. Your job is to find the correct counterexample. Some are easy, some are not so easy...

How to self-study mathematics https://www.physicsforums.com/insights/how-to-study-mathematics/ How to self-study basic high school mathematics https://www.physicsforums.com/insights/self-study-basic-high-school-mathematics/ How to self-study calculus...

Great thread!: https://www.physicsforums.com/threads/micromass-big-integral-challenge.867904/#post-5450007 I have a 16GB i7 windows 7 box with Firefox v45.0.2. I have NO add-ons to Firefox. Every time I open the one thread, it takes longer and longer - literally a minute the last time. No...

Integrals are pretty interesting, and there are a lot of different methods to solve them. In this thread, I will give as a challenge 10 integrals. Here are the rules: For a solution to count, the answer must not only be correct, but a detailed solution must also be given. A correct answer...

Are you self-studying mathematics? Do you have any questions on how to handle it? Anything you want to share? Do so here!

Settle a debate me and micromass have been having recently, it's simple, pure math or engineering for an undergraduate degree. Consider all factors including employability, enjoyability, research prospects, interest, depth, applicability etc.