Intereting Posts

sum of square roots
Weil does not imply Cartier on variety $X$.
Why is the empty set considered an interval?
If $M$ is Noetherian, then $R/\text{Ann}(M)$ is Noetherian, where $M$ is an $R$-module
Polar form of (univariate) polynomials: looking for a proof
Showing hom-sets are disjoint in a morphism category
Computing $\int_{\gamma} {dz \over (z-3)(z)}$
Change of limits in definite integration
The square of an integer is congruent to 0 or 1 mod 4
Symmetries of a graph
Reason for LCM of all numbers from 1 .. n equals roughly $e^n$
Can two analytic functions that agree on the boundary of a domain, each from a different direction, can be extending into one function?
Why is $\emptyset$ a subset of every set?
Showing a free abelian group is generated by its basis
Image of a set of zero measure has zero measure

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 Keisler. Two of my colleagues in Belgium are similarly teaching TIC at two universities there. I am also aware of such teaching going on in France in the Strasbourg area, based on Edward Nelson’s approach, though I don’t have any details on that.

Which universities teach true infinitesimal calculus? Anyone with any additional information in this direction is requested to provide it.

This is cross-posted here.

- Why does a circle enclose the largest area?
- how do I find the average velocity and instantaneous velocity?
- Another integral related to Fresnel integrals
- Closed-Form Solution to Infinite Sum
- Why is this proof of 1D the Chain Rule wrong?
- A function with only removable discontinuities

A colleague in Italy has recently told me about a conference on using infinitesimals in teaching in Italian highschools. This NSA (nonstandard analysis) conference was apparently well attended (over 100 teachers showed up). Anybody with more information about this (who to contact, what the current status of the proposal is, etc.) is hereby requested to provide such information here.

- Integral $\int_0^\infty\left(x+5\,x^5\right)\operatorname{erfc}\left(x+x^5\right)\,dx$
- Convergence of $\sum \limits_{n=1}^{\infty}\sin(n^k)/n$
- Integral $\int_0^\infty \frac{\sqrt{\sqrt{\alpha^2+x^2}-\alpha}\,\exp\big({-\beta\sqrt{\alpha^2+x^2}\big)}}{\sqrt{\alpha^2+x^2}}\sin (\gamma x)\,dx$
- What is the most efficient method to evaluate this indefinite integral?
- Proof of $\int_0^\infty \left(\frac{\sin x}{x}\right)^2 \mathrm dx=\frac{\pi}{2}.$
- Prove that no function exists such that…
- Integrate $\displaystyle \int_{0}^{\pi}{\frac{x\cos{x}}{1+\sin^{2}{x}}dx}$
- Why does L'Hospital's rule work?
- How to effectively and efficiently learn mathematics
- How to create alternating series with happening every two terms

2 years of the degree course in Bologna University,Italy is pretty good if you want to learn true infinitesimal calculus !!

All The Best !

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