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 6 Getting $p_y(y) = p_x(g^{-1}(y)) \left| \dfrac{\partial{x}}{\partial{y}} \right|$ by solving $| p_y(g(x)) \ dy | = | p_x (x) \ dx |$? 5 The PDE $u_t = u_{xx}$ follows the path defined by $\dfrac{dx}{dt} = \pm \infty$ 4 Textbook Definition of Riemann Integral: Supremum, Infimum, Lower/Upper Bounds 4 How/Why does factoring the linear/differential operator suggest a specific change of variables? 3 Since the solution of the Legendre’s equations are the Legendre polynomials $P_n(\mu)$, write the general solution for $u(r, \theta)$.

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