RazeMage
wrote:
TT should make a blog every week, titled "Learning Math with TT"
HiFromBuddha
wrote:
I prefer: "WE GON DO MATHS NIGGA with TormentedTurnip"
Welp, let's get started, then! I'm probably going to do a blog about the major concepts I've learned in my differential equations class roughly a week before each test. These summarized notes I've tried to write in a way that will be approachable (compared to the abomination that is my textbook), but if you don't have an understanding of the basic concepts of Calculus 1 I think you will have a hard time. If you can follow it to an extent, I'd be grateful for any questions you have - teaching (or, at least, attempting to teach) the material is probably the best way to master it. And I really want to get an A in this course haha.
Anyways, here we go! I wasn't quite sure whether to start with Classifying differential equations or comparing them to algebraic equations, but decided on starting with classification. So it might be easier to start with the second spoiler.
Classification of Differential Equations
Differential Equations
Methods 1-3 of Solving Differential Equations
Direction Fields
Modeling (Fixed Volume Tank Version)
Numerical Approximation, Convergence, And Error Analysis
Exact Equations and Integration Factors
Am I the only one that found this fun to read?
Then again I find my history textbook and a dictionary fun to read
God, I'm a nerd
You're not the only one. Cheers.
Anyways, I updated the blog to include three more pages - the last of the major material for unit 1.
Also @Raze: these are the relatively simple ones :P and yeah dy/dx (or whichever variables you use) is a much better way to write it if you separate the variables. Just realized I technically have a step wrong under the separation examples! (y'=dy/dt, so I shouldn't have y'(y)=(t)dt. It should be dy(y)=(t)dt).
jani pls ur saposed to rite w/ a slant
Then again I find my history textbook and a dictionary fun to read
God, I'm a nerd
But usually i use differentiation with dy dx (dy over dx) than y prime, i find it easier to read it like that