11.3: Fourier Cosine and Sine Series, day 1

[@srojas3534]

Great video helped me in my HW!!! Thank God I found this video saved my life🙏

[@sergiorome48]

thank Alexandra Niedden

[@salahfarajali1648]

You are the amazing engineering analysis guide.

[@alidiwan1208]

I accidentally disliked the video, and it said it would share feedback to the creator. The only feedback I have is that you're saving my grade, so keep doing what you do!

[@yousafkhan9739]

i like your teaching

[@karabomothupi9759]

Great content. In depth

[@mateenrubber3025]

Great explanation

[@mwesigwavenansio4486]

About the sine when expanding it had to *-2x(L/n#)2 sine not a + .the best of all is that it turned to zero

[@Ziakhan-ye8zb]

Nice teaching of method

[@mahfoodaldery4735]

i want to ask you a question but how?????

[@lauhaoxun914]

omg, great teacher

[@odalysperez7770]

i wish my professor was like u 🥲

[@haiha-rs1qw]

Thank you so much, i got my question

[@MShazarul]

I got stuck wit the integral of sin(mx)cos(nx) with lower limit of 0 and upper limit 1

[@alexandraniedden5337]

You have a few options: 1) Integration by parts - You'll have to perform integration by parts twice to get back to an integral with sin(mx)cos(nx). Solve from there. 2) Use a trig identity - sin(a)cos(b) = 1/2[sin(a+b) + sin(a-b)].

[@MShazarul]

@@alexandraniedden5337 Appreciate!

[@azizkash286]

life saver

[@sergiorome48]

wait what? they teach a upper division subject in high school?

[@nidhishsharma9471]

yeah this is crazy, you'd have to be like 4-5 years ahead, 2-3 is possible and sometimes normal but 4-5 is insane

[@lisi4502]

At 11:52 how do we determine that it's an odd function?

[@alexandraniedden5337]

There are two ways to determine if a function is odd, even, or neither: geometrically and algebraically. Geometrically, a function is odd if its graph is symmetric with respect to the origin (if graph is unchanged when reflected over both x- and y-axis). A function is even if its graph is symmetric with respect to the y-axis. Algebraically, a function is odd if -f(x) = f(-x) (even if f(-x) = f(x)). In this case, both the geometric and algebraic methods check out.

[@refilweramahlo8532]

IF A FUNCTION IS ODD Bn is not zero but Ao and An are zero

[@yousafkhan9739]

nice

[@rui1109]

is this high school stuff in us???

[@alexandraniedden5337]

This is not a typical high school course in U.S. Some of the most advanced students will get to this level their junior or senior year of high school.

[@Ziakhan-ye8zb]

Respected Mam can you send pdf on sine and cosine series and fourier series .thanks

[@Nabeelaassistantc2469]

you pic pencil very strange

[@yousafkhan9739]

your lecture is so pentistic

[@AhsanZafar]

very long video which is making it boring so please make next lectures a bit small mean dont add silent parts

[@karabomothupi9759]

Its a lesson for her students. She is doing us a favor by posting it here

[@pockydust3404]

Exactly, She's actually a great teacher