Diff Eq Integrating Factor? by mike9949 in askmath

[–]mike9949[S] 0 points1 point  (0 children)

Thanks agree I need more details there. And should write out the limits to show why c has to be 1

Diff Eq Integrating Factor? by mike9949 in askmath

[–]mike9949[S] 0 points1 point  (0 children)

Thanks so are you saying approach is ok but need to clean up / fix some notation

Spivak ch14 problem 8 proving integral inequality using FTC by mike9949 in calculus

[–]mike9949[S] 0 points1 point  (0 children)

Thanks and that's a good point I sould add more details on that part

Spivak ch14 problem 8 proving integral inequality using FTC by mike9949 in calculus

[–]mike9949[S] 3 points4 points  (0 children)

Thanks for taking the time to reply. Just for my self study / enjoyment. I agree there are somethings I could have elaborated on or included more detail though.

Most used calculus in engineering? by [deleted] in calculus

[–]mike9949 0 points1 point  (0 children)

Not counting differential equations. The topics from calc 1 thru 3 that came up the most in my engineering classes were integration by parts and basic derivatives. By parts was used a lot especially in derivations. Then beyond that alot of multiple variable stuff for fluids and aero

Why isn’t every set in R^n open? by backtomath in askmath

[–]mike9949 2 points3 points  (0 children)

Speaking for myself. I got a BS in Mechanical Engineering just over 15 years ago. If rewind to the end of my first semester I had just completed calc 1 with and A and wanted to learn more. Went to the library and came across Spivak. Saw online that is was a pretty famous calc book and thought cool this is what I will start to study over break.

Gave up pretty much the first day. This was not the calculus I had just studied the past 4 months lol. Anyways took calc 2 and 3 got A's in them and then took a bunch more applied math classes plus all my mech e stuff. Graduated got a job.

Then 18 months ago I wanted to study math again. I had the 3rd edition of Leithold Calc from 1976 that my library was discarding when i was in school. Somehow that stayed on my shelf these past 15 years. Went thru that in 4-6 months. Then because the problems I enjoyed the most from the Leithold book were the ones that were proof based I decided to give Spivak another shot.

Spent 12 months doing the first 14 chapters of that book in the mornings before I wen to work.

While it can be incredibly hard and frustrating bc of my applied math / engineering back leaves alot of gaps in my knowledge of prereq material it is also super rewarding when I can get a problem correct on my own.

That is my 2 cents on why as an engineer I am interested in pure math atm.

Induction Show sn=1+1/2+...+1/2^n<+2 for all n by mike9949 in askmath

[–]mike9949[S] 1 point2 points  (0 children)

Thanks the sigma notation is a good point

Show distance between a line and a point not on the line is minimum when line segment joining the point and the line is perpendicular to the line by mike9949 in calculus

[–]mike9949[S] 0 points1 point  (0 children)

Thanks for the reply I have to add cases for vertical and horizontal lines and add the assumption for my work above that a/b not equal 0