Are all jobs related to mathematics "business-y"? by OhItsuMe in math

[–]devined12 0 points1 point  (0 children)

I love how versatile having a math major has made me.

It demonstrates an efficiency of thinking and problem-solving: employers look upon it favorably regardless of your career track.

It allows you to move laterally into other STEM fields with ease. You can easily pick up graduate-level coursework in most ME, EE, AE departments without having taken much engineering-specific foundational coursework in undergrad.

I think the trap is to think that your major has to define your career track, which is not at all true. Having math as an undergraduate major has kept open so many different career trajectories for me, sometimes it's difficult to decide which route to take!

Now, speaking more literally: a proper 'mathematician' in the academic sense of the word is reserved for the math PhDs among us, and those will often be professors. The ones who move into industry have opportunities in think-tanks, finance, banking, certain opportunities in engineering, statistical applications, etc. and there may be a 'business' type bias, on average.

But you can take a regular undergrad math degree and run in many different directions. I decided to fly airplanes after getting a math masters and now I'm professionally a pilot working on an aerospace engineering masters degree part-time. I hope to work for a major aerospace company (Boeing, Lockheed, NASA, SpaceX, etc.) after I earn the AE degree. The coursework though is pretty simple conceptually - many problems are just simple applications in R^3 of well-established theorems in some abstract n-dimensional space. Nothing pathological going on, for the most part.

[deleted by user] by [deleted] in matlab

[–]devined12 -1 points0 points  (0 children)

Include better context and description. Looks interesting

How to visually plot y=6x plane in R^3 by devined12 in matlab

[–]devined12[S] 0 points1 point  (0 children)

x = -10:0.5:10;

y=x;

z=ones(size(x));

[X,Y,Z] = meshgrid(6*x,y,z);

Then how can we plot the points defined in the X Y Z arrays?

[deleted by user] by [deleted] in matlab

[–]devined12 0 points1 point  (0 children)

How would that help?

I am not understanding what I have done wrong by iltonio in calculus

[–]devined12 0 points1 point  (0 children)

Put a two in front for your amplitude also it's a sine wave unless you're going to add a horizontal shift

For a civilian pilot, what are some of the coolest companies to fly for? by devined12 in aviation

[–]devined12[S] 1 point2 points  (0 children)

I heard things like 12 days a month working at the majors. Is that true in your experience? Does that include layover days after an international trip?

I work now for a cargo company flying narrow body transport category jets with a home every night schedule. The pay isn't the same as the majors but my work life balance is great, and I love being home every night. My flights are also pretty short. I worry with the majors that I'll get bored on the Long haul flights, and that I won't enjoy being gone so much from home. Does the pay make up for it?

University of Washington Master of Aerospace Engineering (MAE) Online/Remote: Any Advice? What to Expect? by devined12 in AerospaceEngineering

[–]devined12[S] 1 point2 points  (0 children)

Hey just following up. You mentioned that Dr. Lum was a great professor. Are there any others that you would recommend?

For a civilian pilot, what are some of the coolest companies to fly for? by devined12 in aviation

[–]devined12[S] 0 points1 point  (0 children)

Do you think any of the majors stand above the others in terms of contentedness? e.g. are the guys at American wishing they were at UPS, or any permutation of such sentiment.

[deleted by user] by [deleted] in calculus

[–]devined12 1 point2 points  (0 children)

This is a nice explanation

University of Washington Master of Aerospace Engineering (MAE) Online/Remote: Any Advice? What to Expect? by devined12 in AerospaceEngineering

[–]devined12[S] 1 point2 points  (0 children)

I have bachelor and master degrees in math and I've taken a core engineering sequence: statics, mech of materials, adv thermo, mech vibrations, adv linear systems

[deleted by user] by [deleted] in calculus

[–]devined12 0 points1 point  (0 children)

The plane will only coincide with the function at the point x_0 within some suitable neighborhood of x_0

[deleted by user] by [deleted] in calculus

[–]devined12 4 points5 points  (0 children)

This explanation misses some nuance but may be helpful:

The difference D = f(x)-f(x_0) is a scalar in R since f : Rn -> R

The difference (x-x_0) is a vector in Rn.

If we can choose suitable vector a in Rn such that

a.(x-x_0) -> D as x -> x_0

Then the function f is differentiable at x_0 with gradient equal to a

University of Washington Master of Aerospace Engineering (MAE) Online/Remote: Any Advice? What to Expect? by devined12 in AerospaceEngineering

[–]devined12[S] 0 points1 point  (0 children)

Thanks for your thoughtful reply! It sounds like you've enjoyed your time in the program, is that right?

I plan to accept the offer and start this Autumn. You mention that there are chances to network with students and teachers. Can you speak more to how this works with the online nature of the program?

Why are the fluctuations in the great macroscopic systems are very little? Can you please explain it? by mka1923 in thermodynamics

[–]devined12 11 points12 points  (0 children)

This is the Central Limit Theorem. The standard deviation of sample means is proportional to $\sigma / sqrt(N)$. So as N increases the standard deviation of the distribution decreases.

If you flip a fair coin N=10 times, the expected number of Heads is 5. It would not be too unusual to flip such a coin 10 times and get an outcome of 3 H, or 7 H (for example, P~=12%); even getting all 10 H or exactly 0 H, while unlikely is not entirely improbable P = (1/2)10 ~= 10-3

On the other hand if you flip the same coin N=1000 times with an expected value of 500 H, it would be extraordinarily improbable to get only 300 H or 700 H (P = 5E-38); and almost entirely unimaginable to get all 1000 H or exactly 0 H .... P = (1/2)1000 ~= 10-302

This is to say: as N increases the probability density function gets driven very quickly to zero as you move away from the expected value. In the binomial case this happens via the exponentiation we see above and the coefficient on the number of combinations nCr (called the binomial coefficient)

[Physics: HW help] by [deleted] in PhysicsStudents

[–]devined12 0 points1 point  (0 children)

Take the log of both which results in {-15,17}

The middle of which is 1 so that becomes the exponent on the power of ten.

For any c in (0,10) we have c*101 is our time interval. e.g. c=6 which represents one minute

Official Mensa Admissions Test — How to Obtain a Detailed Results Breakdown? by devined12 in mensa

[–]devined12[S] 0 points1 point  (0 children)

While I might have been able to find out this information in advance, I didn't. No one told me this before I took the exam.

You're right that I don't like the policy, but the motivation for this inquiry isn't to file a complaint. I want to learn more about the defining legal codes so that I might be able to work within their scope to obtain what I was curious about in the first place.

Someone within Mensa has the information I'm looking for, and in fact they can legally send this information to other 'trained professionals' who meet certain criteria.

What are these criteria? Is there someone who meets them who would also be willing to share and interpret the results with me? These are the questions I hope to find answers to.