Partial Differential Equations (Math 473 Mast 666, Sec A)   Winter 2017

    Assignment [1]     [Due 19 Jan]
    Assignment [2]   § 3.1 {1, 2, 3, 6, 12}  [Due 26 Jan ]
    Assignment [3]   § 3.2 {2, 4}    § 3.3 {2, 3, 4, 7}  [Due 2 Feb ]
    Assignment [4]   § 4.1 {1, 2, 7, 8, 9ad}    § 4.2 {3, 10}  [Due 9 Feb ]
    Assignment [5]   § 4.3 {3, 9, 10ab}    § 4.4 {7, 10, 13}   § (*) {Find the first 4 o.n. Legendre polynomials on [-1, 1] by using Gram-Schmidt}  [Due 16 Feb ]
    Midterm Test: In Class Mar 2. Scope: Assignments 1 through 5 : A1 - A5. Duration: 1 hour.
    The solutions for A5 will be posted 16 Feb, and scripts returned in class on 28 Feb.
    Assignment [6]     [Due 9 March]
    Assignment [7]   § 5.1 {1, 2}    § 5.2 {1, 3}  [Due 16 March]
    Assignment [8]   Q1:  Consider the SL problem on [-2,2] with the eigen equation
    -y"(x) + |x|y(x) = E y(x) and BC y(-2) = y(2) = 0.
    Find upper bounds to the first two eigenvalues {E1, E2} of this problem by
    exploring a suitable two-dimensional trial space.
    Consider now the first eigenvalue for the problem on [-a, a]. For a = infinity, E1 = 1.018793 [approx].
    By varying a, see how close you can get the upper bound to this smallest value.
      § 9.1 {13, 14}  [Due 23 March]
    Assignment [9]   § 9.5 {1, 2(a), 3(a)(b), 5(a)}  [Due 30 March]
    Assignment [10]   § 6.1 {2},  § 6.2 {2, 4, 5(a)}  [Due 6 April]