Homework assignments for M427K ============================== Nr Section : Problems ------------------------------------- [1] 2.1 : 14,19,30 2.4 : 4,7,19,28 2.2 : 2,13,14 ------------------------------------- due Tue Sep 8 [2] 2.6 : 7,10,13,16,26,28 2.8 : 6a,10a ------------------------------------- due Tue Sep 15 [3] 3.2 : 9,13,14,26 3.4 : 25,26,30 ------------------------------------- due Tue Sep 22 [4] 3.1 : 5,10, 3.3 : 16,18,20 3.4 : 6,12,14 ------------------------------------- due Tue Sep 29 [5] 3.5 : 3,6,12,36 4.2 : 2,7 4.3 : 2,5 ------------------------------------- due Tue Oct 6 [6] 3.6 : 7,17,30 5.3 : 2,3 5.1 : 2,3,5,7,13 ----------------------------------- due Tue Oct 13 [7] 5.2 : 3,9,14 see Comment A below 5.3 : 6,7,17 ------------------------------------- due Tue Oct 20 [8] 5.4 : 2,4,9,20 5.5 : 5,6 see Comment B below 5.6 : 3,4 see Comment C below ------------------------------------- due Tue Oct 27 [9] 6.1 : 7,8,26abc 6.2 : 3,8,9,12,22 ------------------------------------- due Tue Nov 3 [10] 6.3 : 12,17,20,21 6.4 : 6a,9a, 7.2 : 10,14,24 7.7 : 17 compute x=etAξ and check that x'=Ax, for [1 0 0] [0 1 0] [0 -1] A = [0 2 0], A = [0 0 1], A = [1 0] [0 0 3] [0 0 0] ------------------------------------- due Tue Nov 17 [11] 7.5 : 4,11,16 (solution only) 7.6 : 1,10 (solution only) 7.8 : 1,11 (solution only) ------------------------------------- due Tue Nov 24 [12] 10.1 : 17,18 10.2 : 1,13,16 ------------------------------------- due Tue Dec 1 possible practice problems afterwards: 10.4 : 11,21,22 10.5 : 2,3,8,10 Comment A: For the series solution about the given point x0, determine (a) the recursion relation for the coefficients an (b) the first 4 terms in each of two solutions y1 and y2 Comment B: For the series solution about the point 0, determine (1) the indical equation and its roots r1 and r2 (2) the recursion relation for the coefficients an (3) the first 3 terms for the solution y1 corresponding to r=r1 (4) the first 3 terms for the solution y2 corresponding to r=r2 Comment C: For the series solution about the point 0, determine (1) the indical equation and its roots r1 and r2 (2) the recursion relation for the coefficients an (3) the first 4 terms for the solution y1 corresponding to the largest root of the indical equation ============================================================ NOTE: NO LATE HOMEWORK Unless stated otherwise in class, homework is collected in class on Tuesdays, one week after it has been assigned. Late homework will not be accepted. But as announced, only the 10 highest HW scores are used to compute the homework average.