Assignments: Fall: # Topic Problems Preliminaries 1 Elementary logic, intro 1.6,9,26,29,30 + problems assigned in class 2 Functions and sequences 1.19,20 + problems assigned in class 3 Infinite series 2.9,10,12,14,15,20,29,36 4 Singular integrals 3.1,2,3,5,6,18,19,21 Vector Spaces 5 Vector spaces 17.11,21,24,25 6 Linear operators 18.11,13,19abdfg,22 7 Multilinear algebra and solvability of linear eqns 19.44,5,6,14,16c,17c,20,23 8 Eigenvalue problems 20.1cd,19,20,21,22,27,30,31 Real Analysis 9 Metric spaces, double limit, distributions 4.2,10,11,13,15,16,18,19 10 Fourier series 5.2,3,5,7,10abcd,21,22 11 Fourier and Laplace transforms 6.1,8,12,15a-h,16,18,19,28ab ODE's 12 Elementary ODEs 21.2,4d,9ac,10,13,17,19bc 13 Systems of linear ODEs 22.2b,9cde,14bd,19ach,24,25ad,27dg,36ae 14 Liapunov stability, phase plane 23.2,3,4,5f,8,16,22