Assignments:


Fall:


Topic                                               Problems


Elementary logic, intro                             1.6,9,26,29,30 + problems assigned in class
Functions and sequences                             1.19,20 + problems assigned in class
Infinite series                                     2.9,10,12,14,15,20,29,36
Singular integrals                                  3.1,2,3,5,6,18,19,21
Vector spaces                                       17.11,21,24,25
Linear operators                                    18.11,13,19abdfg,22
Multilinear algebra, solvability of linear eqns     19.44,5,6,14,16c,17c,20,23
Metric spaces, double limits, distributions         4.2,10,11,13,15,16,18,19
Fourier series                                      5.2,3,5,7,10abcd,21,21,22
Fourier and Laplace transforms                      6.1,8,12,15a-h,16,18,19,28ab
Eigenvalue problems                                 20.1cd,19,20,21,22,27,30,31
Elementary ODEs                                     21.2,4d,9ac,10,13,17,19bc
Systems of linear ODEs                              22.2b,9cde,14bd,19ach,24,25ad,27dg,36ae
Liapunov stability, phase plane                     23.2,3,4,5f,8,16,22