Linear Algebra

Also, how long would it take to self study linear algebra, calc 3, and after those 2, differential equations? Can it be done in under 6 months?

t. calc bc student

>>8551276
Strang has some pretty great lectures, to be honest. As far as practice assignments, you can probably find strang's book for relatively cheap, at least an out of date version.
>>8551286
Well, at UC Berkeley (my Alma Mater), calc 3 is taught in a semester and Linear Algebra and differential equations are both taught within one semester. If I might make a suggestion, you could probably put lin alg right before diffeqs, as they are simple enough to grasp on their own, and save calc 3 for last. Linear algebra has a lot of useful skills that you would be hard pressed to learn in Calc 3 without a rigorous background, such as inner products, orthogonal projections, matrix determinants, parameterization and dimensionality, etc.; having taken LinAlg/DiffEqs before Calc 3, this made Calc 3 brain dead easy for 8 weeks as it was just review, and made the rest of the material (which really just becomes Fubini's, Clauraut's, Fund. Thm. Line integrals, Stoke's, Green's, and divergence) also piss easy.

>>8551290
Also basically all you need to understand diffeqs up through general linear differential equations and the heat eqn., wave eqn, laplace equation, etc. is just linear algebra plus understanding what a gradient/partial derivative is.

>>8551290
>>8551293
Would you recommend going linear algebra -> diffeq -> calc 3, or linear algebra+diffeq -> calc 3?

And thank you for the advice by the way

>>8551301
Well, if by linear algebra+diffeq, you mean spend less time on diffeq and linear algebra by cramming them together, I don't recommend it. A lot of depth is lost from both subjects when they are smashed together, and most kids won't grasp it fully that way.

>>8551303
I meant more along the lines of watching 1 linear algebra lecture and doing practice problems, then 1 differential equations lecture and practice problems, as opposed to doing all of linear algebra before starting diffeq

>>8551305
Definitely not. Until you know enough about eigenvalues of a linear transformation, transformations between abstract vector spaces, and how to form a basis of a solution set, then don't start differential equations, because that is basically the entire course.

>>8551306
Alright, thank you