Lec 9 | MIT 18.03 Differential Equations, Spring 2006

[NganaJHone]

I am very happy to see the vidoe from you, hopefully the others also are happy for You Solving Second-order Linear ODE's with Constant Coefficients: The Three Cases

[Ondelendo]

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[bebeheuy]

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[willamricard]

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[imegatrone]

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[bundawartini]

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[anakmudajaman]

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[prusa30]

isn't the frequency at t=0 supposed to be sqrt (5) ?

[frosties01]

I wouldn't have passed my exam without this lecture!

[dumbassmoron]

it sounds like hes out of breathe from just walking around the board for 2 min

[LachlanJG]

School is sooo lame! I can't wait for university

[Marxama]

After a lecture, it's a common feeling not to understund anything of what was said. Less common is not understanding how you could understand all of it. This professor somehow makes you do it all the time. Wonderful stuff.

[SadegoGG]

@Marxama

You should study what a paradigm is, reread your post, and finally you will realize why you find stuff so difficult to remember.

Also, pick up a decent memory book while you are at it. Math is nothing more than adding, subtracting, multiplying, and dividing. If you learn the original equations using memory techniques you will be amazed how easy college math is.

[Marxama]

@SadegoGG

I think you misunderstood me. I passed this course, as well as all other math courses I read, with flying colors (except for the little heavier course in Analysis - memory techniques will only get you so far!) But thanks anyway :)

[SadegoGG]

@Marxama

Do you know how easy this math is if you just memorize the actual equations, not the shortcuts your professors give you? If you have the equations, there is far less need for logic. Also, I never said memory was the cutting edge all in one math solution, its just a part of the solution.

Also, I didn't realize merely passing was in harmony with your goals, so i'm sorry.

[Marxama]

@SadegoGG

I find math very easy, and I seldom need to memorize anything. I work with the logic behind the equations, and in case I forget how anything goes, and I can't check the formulas - no problem, just derive them using the understanding of the actual math.

You seem to have a somewhat weird view on mathematics. "Just remember the equations" rather than "understand the logic" is fine, but then I must ask, what goals are in accordance of this approach?

[Marxama]

@SadegoGG

(and if you think of "straight A's" as "merely passing", fine)

[MatthewMitch23051992]

@SadegoGG

Computers can remember equations far more reliably than a human, learning how to solve things a computer can't solve is something you can make the most money off, or be the person who writes the program maybe...

[SadegoGG]

@MatthewMitch23051992

Actually humans have perfect memories. The issue is most people are never taught how to develop their memories. People also can think and have mental faculties, which a computer doesn't.

Also, you make money from service rendered. Imagination is a crucial part (As are all the mental faculties) but its not the only part to making money. Your money doesn't have to be related to computers or programs in order to manifest into its physical equivalent.

[diogo0050]

What is the trigonometric identity he talks about at 39:18?

[zoazoon]

Acos(theta) + Bsin(theta) = Ccos(theta - phi)

Where if A and B were to become the legs of a right triangle, C is the hypotenuse and phi is the inner angle.

[amdream6]

I am extremely appreciative of this whole series; they are very helpful.

[CayBear09]

These lectures are an amazing help to my class! Thank you!

[Klassentrottel]

skip too much, my book is better

[ddrebelo]

42:03 looool

good lecture.

[kmharrower]

This comment is for a different lecture, I appologize

[thisisnotoriginaaal]

this old man's voice is sexy

and the lecture was hot...:)

[lhyd7hak]

Thanks for the lecture