Recent content by martial

  1. M

    High School High School Calculus: Differentiation vs. Integration

    In all fairness, Archimedes was one of the greatest mathematicians in the history of the world along with Newton and Gauss, so what's apparent to him cannot be expected to be apparent to any arbitrary high school or university student ;-). Overall an excellent series of posts elaborating on...
  2. M

    High School High School Calculus: Differentiation vs. Integration

    It very much depends on the quality of the teacher. Starting when I was fourteen I was taught by a Harvard grad who was really gung-ho and almost ruthlessly demanding about calculus, lin al, and (elementary) analysis. Absolutely loved it and feel I learned and retained tons.
  3. M

    High School Solve the Integration by Parts Equation: xlnx dx | Senior in AP Calculus BC

    Hint, d(ln x)/dx = 1/x... Oh, whatever: u = ln x, dv = x => du = 1/x, v = x^2/2. So you get (x^2 * ln x)/2 - Int(x/2, x). And you just got to do that last integral.
  4. M

    Undergrad Bags of marbles combination/permutation problem

    Try to figure it out for your small example and then generalize it for your homework problem.
  5. M

    Undergrad Can You Self-Learn Bayesian Statistics and R Programming?

    I have the book Data Analysis and Graphics Using R by John Maindonald and John Braun, and it's pretty good, although it might be a tad outdated now, I'm not sure. It's published by the Cambridge University Press. As far as Bayesian inference, I'm not sure about books, however for one of my...