## Calculus from beginning to mastery.

hi there, we just started a Calculus class that teaches you Calculus from the beginning to the mastery. You can ask any questions you have and you will receive a personal help from us. https://www.simor.org/user/10108/parsa_darafsh/rooms/10108-calculus-from-beginning-to-mastering/posts

submitted by Nevin Manimala Nevin Manimala /u/Almo7383

## Where next?

I just finished highschool in the UK and have completed A-Levels in both Maths and Further maths. I am taking my Gap year and really don’t want to lose touch with maths.

I’m feeling kind of lost as to where to go from here, I love most aspects of maths but without the competitive interactive environment of a classroom I’m not sure how to proceed.

submitted by Nevin Manimala Nevin Manimala /u/docdude110

## Is it inappropriate to compare one sample to a number of other samples using individual T-tests?

As the title indicates, I want to know whether it is appropriate to compare one sample to a number of other samples (in this case six others) using individual T-tests. I know that ANOVA is used to determine whether there are differences between samples in all possible pairs, but what if you are only interested in a subset of those pairs, namely sample 1 vs sample 2, sample 1 vs sample 3, etc. Can I use multiple, individual T-tests for this?

submitted by Nevin Manimala Nevin Manimala /u/argentsatellite

## Undergraduate maths lecture notes (Uni of Cambridge)

Here are the lecture notes corresponding to the undergraduate maths degree that I took at the University of Cambridge from 2014-17. They were typed up by a student in my year during the lectures, and to be honest most of the time I found it easier to learn from these than the actual lectures. I like to think that I could’ve saved myself the £9k per year that my degree cost and just learned from these instead 🙂

I think it’s important that I share these because in my opinion there are not enough obvious resources for learning higher maths online. Hopefully others can find a good use for them!

https://dec41.user.srcf.net/notes/

submitted by Nevin Manimala Nevin Manimala /u/RipNationStates

## How do you project an azimuthal equidistant projection back onto a sphere?

Right now I’m doing a project involving moving points on the surface of a sphere and the most intuitive way I could find to do it was to project the sphere into a circle using an azimuthal equidistant projection centered at that point, then move the point (because straight lines through the origin in that projection are great circles), then project back onto the sphere. But the Wikipedia article about it doesn’t say how to go backwards, and I can’t find anything about it through Google.

submitted by Nevin Manimala Nevin Manimala /u/syzithryx

## Interest in superposition of point light sources.

Hello math. I work in lighting as an engineer, and I am tasked with developing a way of specifying the amount of light incident on different planes in a space.

For simplicity, we can assume the room is a rectangular prism with point sources only existing on the ceiling. Is there a simple way to create a heatmap or contour line on the floor as a result of N point sources placed at different t positions on the ceiling? Clearly it is more complex, but I would like a starting point.

If light did not bounce, this would be more simple, or if the room was a sphere, but it is not.

I don’t need to impress with math, only be able to produce the result, be it with software if need be.

I hope this is clear, but if it is not, please let me know.

submitted by Nevin Manimala Nevin Manimala /u/Willingo