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2.283 education questions.

Does anybody have some link for good video lessons of a complete course in Complex Analysis? Grateful.

I'm trying to understand what is the maximum deviation between two measurement methods. I read this on a paper on which there is a comparison between two devices to measure pH. The sentence on the ...

Olga Tausky-Todd had once said that "If an assertion about matrices is false, there is usually a 2x2 matrix that reveals this." There are, however, assertions about matrices that are true for $2\...

I'm new to this website so I apologize in advance if what I'm going to ask isn't meant to be posted here. A bit of background though: I haven't been to school in 6 years and the last level I've ...

I was wondering what would be a list of Applied Math courses (sort of like a road-map for an Applied Math student interested in a Applied Math PhD) which preferably contains absolutely essential ...

Does there exist a mathematical text that references a formal computer verified proof for every theorem it presents? I'm imagining a digital textbook that gives the higher level concepts in typical ...

I'm looking for a really good, modern, standalone calculator; something particularly suited for engineering and/or computer science (as an educational tool). • I started with a basic Texas ...

So this might be a first for you ^-^ I'm only familiar with the basic addition, subtraction, multiplication and division. I don't even know basic fractions! Next year I'll be entering college and ...

Let me first say what I mean by technique: the ability of, given a problem, to give the shortest proof. Is there any way to systematically improve it, or is some kind of mysterious talent?

I was just reading this math.meta question, and it motivated me to ask about my current situation. I'm an undergraduate student who's reading a textbook (for self-study) that is riddled with errors -...

I don't really know what this thing that I am doing is called, hence the reason I am asking here and not googling. I have a formula $0.5x(x + 1) = y$. And I am trying to convert it to a function which ...

What is the most motivating way to introduce quadratic residues? I would like some concrete examples which have an impact. This is for first-year undergraduates doing an elementary number theory ...

Basically, I have a function, and if it exceeds a threshold, I want to increment my value by 1. I want to write this mathematically, and I feel it should look something like this $$y = \sum_i x'_i-...

I am a high school student with two years left until I graduate. I managed to move through my high school math curriculum quicker than expected and am on track to take AP Calculus AB this coming ...

I'll be a sophomore in high school (U.S.) next year. So far, I've taken a few classes in math at school, I'll be taking Precalculus and College Algebra this upcoming year, and I might self-study and ...

I would like to formalise some operations I am doing, however it is unclear how I should deal with categorical variables. Imagine a dataset with 15 distinct couples (...

I know that I can these two terms are equal, but I would like to understand why the are equal and what rules are involved in translating one term in the other. Here are the terms: $$-\frac{ae^{-ax}}{1 ...

I am teaching a beginning programming class in Visual Basic (for non-CS majors). I told my students that the mod operator basically gives the remainder of the division. So, when seeing $0 \text{ mod } ...

My colleague and I are currently teaching "true infinitesimal calculus" (TIC), in the sense of calculus with infinitesimals, to a class of about 120 freshmen at our university, based on the book by ...

Let $\alpha$ and $\beta$ be nonzero real numbers such that $2 (\cos \alpha-\cos\beta)+\cos\alpha\cos\beta=1$. Then which of the following is/are true ? a) $\sqrt3\tan(\frac\alpha2)+\tan(\frac\beta2)=...

I am currently a first year undergraduate majoring in mathematics. I'm taking an introductory analysis course and find it very hard compared to other math couses. I know that the topics covered in the ...

I came across this online quiz discussing the new Common Core education standards, and it all seemed pretty reasonable, until I came across this question: In the number below, how many times ...

Recently, I was solving a problem online and came across this notation that i can't make head nor tails of it. The equation is p(p(y)) = x. I would like to know what is the meaning of this one: p(p(y))...

I am currently in the process of starting to formalize my mathematics notes, both hand-written and digital. In that I have reached somewhat of a conundrum. I have learned both through practice and ...

This is something of a pedagogical question. Most of us have scratched our heads at some point as to why the definition of "$f$ is continuous" requires that the preimage of any open set under $f$ is ...

I've been asked to teach "Foundations of Geometry" at the University of South Carolina. Apparently, professors in the past have all done very different things, and I have a lot of choice in the matter....

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