| Chapter | Subject | Review problems |
| 2.1-2.6 | Review derivation of solution to first order linear, and review separable equations. Mixing problems | 2.2 3-8, 15-20 (a,c), 29
2.3 18-20 2.6 17,18 20,21,24,25 |
| 5.1- 5.2 | Series Solutions | 5.1 2-8,11-15,22-25
5.2 3-14,20,21,22 |
| 3.1-3.4 | Second order constant coefficient | 3.1 10-16,20,21,30,32,36
3.2 7,9,11,15,16,18,27,32 3.3 5,6,7,9,13,15,22,23 |
| Linear Operators | Review the homework
3.4 7,9,17,27,28,29 3.5 7,8,9,12,13,14,18-21 |
|
| 3.6-3.7 | [Nonhomogeneous and nonconstant coefficient equations] Finding a particular solution. Undetermined coefficients and variation of parameters. | 3.6 3-11, 14,17,18, 21-25 (a),30
3.7 13,15,17,19,22-26 |
| 7.1-7.8 | Systems of linear equations, linear independence, eigenvalues and eigenvectors. | 7.3 12,13,`4,17,19,22,23,25-33
7.4 2,4,6,8,9 7.5 9,11,14,15,17,18,19,28,29 7.6 7,8,9,21,22,24,27,28 7.7 3-6,12,15,17 7.8 5,6,19,20 |
| 10.2 | Fourier Series | 10.2 10,11,13-17 (b),27,28,29 |
| 10.3, 10.4 | Fourier Convergence Theorem; Even and odd functions | 10.3 4,5,6,16,19
10.4 13,14,15,16,35,36,38,39 |
| 10.5,10.6 | heat equation | 10.5 7,8,9,10,2122,23
10.6 2,4,7,8,11,12,13,15,16,17 |
| 10.7 | The Wave Equation | 10.7 2,4,7,8,9,10,15,17 |
| 10.8 | Laplace's Equation | 10.8 1,2,3,4,5,10,11,13 |
| 11.1-11.2 | Sturm-Liouville | 11.1 3,5,6,8,9,12,14,19,21,24
11.2 2,4,6,14,17 ,23,24 |