General Information | Syllabus and Homework Assignments |
Lectures | Sections in Text | Brief Description | Turn-in Homework | Extra Practice Homework |
---|---|---|---|---|
M 3/28 | 1.1, 1.2 | What are differential equations? | A: 1.1: problems 4,9,23 A: 1.2: problems 7 |
1.1: problems 1-3, 5-8, 10-20 1.2: problems 8,9,12,13 |
W 3/30 | 1.3, 2.1 | Classification and linear first-order ODEs. | A: 1.3: problems 5,6
B: 2.1: problems 16,19,30 |
1.3: problems 21-24 2.1: problems 1-15, 27-29, 31-33 |
F 4/01 | 2.2,2.4 | Separable equations and existence-uniqueness theorems | B: 2.2: problems 3,6,23 | 2.2: problems 7-27 (only part a) |
M 4/04 | 2.3 | Modeling with differential equations | A: 2.4: problems 4,15,25 A: 2.3: problems 2,8 |
2.4: problems 1-6, 13-16, 27, 28 2.3: problems 1, 3-7, 9-12 |
W 4/06 | 2.5 | Autonomous equations and population dynamics | B: 2.5: problems 3 (also implicitly solve the equation), 7 | 2.5: problems 1-2, 4-6, 8-13 |
F 4/08 | 2.6 | Exact equations | B: 2.6: problems 8,10,14 | 2.6: problems 1-7, 9, 11-13, 18-22 |
M 4/11 | 3.1, 3.2 | Second order constant coefficient with distinct real roots; the Wronskian | A: 3.1: problems 5, 11 (do not sketch) A: 3.2: problems 6, 10, 12, 25 |
3.1: problems 1-4, 6-10, 12-18 3.2: problems 1-5, 7-9, 11, 13-27 |
Tu 4/12 | Section 1 (Tanabe) meets instead of 4/11. Covers the same topics. | |||
W 4/13 | 3.3 | Complex conjugate roots | B: 3.3: problems 11, 22 (do not sketch) | 3.3: problems 1-10, 12-21 |
F 4/15 | 3.4 | Repeated roots and reduction of order | B: 3.4: problems 6, 12 (do not sketch), 28 | 3.4: problems 1-5, 7-11, 13-14, 23-27, 29-30 |
M 4/18 | 3.5 | Method of undetermined coefficients | A: 3.5: problems 6, 18 | 3.5: problems 1-5, 7-17, 18-20 |
Tu 4/19 | Review for midterm | |||
W 4/20 | 3.6 | Variation of parameters | A: 3.6: problems 4, 13 | 3.6: problem 1-3, 5-12, 14-20 |
F 4/22 | 3.7, 3.8 | Modeling of vibrations | B: This problem set | |
M 4/25 | 7.2 | Review of matrices, part 1 | No HW today. Do extra problems until you're confortable with matrix multiplication and determinants | 7.2: problems 1-9 |
W 4/27 | 4.1, 4.2 | Order n homogeneous linear equations with constant coefficients | A: 4.1: problems 3, 15 A: 4.2: problem 12, 15, 32 (do not graph) |
4.1: problems 1-2, 4-6, 11-14 4.2: problems 1-11, 13-14, 16-31, 33-36 |
F 4/29 | 4.3, 4.4 | Undetermined coefficients and variation of parameters for order n equations | B: 4.3: problems 5,11 (do not graph) B: 4.4: problems 3 |
4.3: problems 1-4, 6-10, 12-18, 20-22 4.4: problems 1-2, 4-6, 9-12 |
M 5/02 | 7.1, 7.3 | Review of matrices, part 2. Introduction to systems of ODEs. | A: 7.1: problems 5, 7(a), 22(a) No HW for 7.3, do extra problems until you're confortable with finding eigenvalues and eigenvectors. |
7.1: problems 1-4, 6, 8-12, 17-21 7.2: problems 10-19 7.3: problems1-25 |
W 5/04 | 7.4 | Existence and uniqueness of solutions of systems of ODEs | A: 7.4: problem 6 | 7.4: problems 4, 7 |
F 5/06 | 7.5 | Constant coefficients systems with distinct real eigenvalues | B: 7.5: problems 9,11,15 | 7.5: problems 1-8, 10, 12-14, 16-18 |
M 5/09 | 7.6 | Constant coefficient systems with complex conjugate eigenvalues | A: 7.6: problems 7, 9 | 7.6: problems 1-6, 8, 10 |
Tu 5/10 | Review for midterm | |||
W 5/11 | 7.8 | Repeated eigenvalues | A: 7.8: problems 7 and 11, part (a) | 7.8: problem 1-6,8-10,12,17-21 |
F 5/13 | 5.1, 5.2 | Power series review and solution near an ordinary point | No turn-in HW for 5.1; do as much practice as required. B: 5.2: problems 5 and 7, parts (a)-(c) |
5.1: problems 1-8, 19-26 5.2: problems 1-4,6,8-14 |
M 5/16 | 5.3, 5.4 | Convergence of power series solutions; the Euler equation | A: 5.3: problems 6 A: 5.4: problems 9, 14 |
5.3: problems 5,7,8 5.4: problems 1-8, 10-13, 15-16 |
W 5/18 | 10.1 | Boundary value problems; eigenfunctions | B: 10.1: problems 3, 8, 15 | 10.1: problems 1-2, 4-7, 9-14, 16-19, 23 |
F 5/20 | 10.2 | Fourier series | B: 10.2: problem 13 | 10.2: problems 1-12, 14-24, 29 |
M 5/23 | 10.3, 10.4 | Fourier convergence theorem. Even and Odd Functions. | Note: the turn-in HW for this week will not be collected or graded. It is only meant as an indication of exam-type problems. 10.3: problem 2(a) 10.4: problems 7, 9, 15 |
10:3: problems 1, 3-12, 17 10.4: problems 1-6,8,9-12, 13, 16-21, 35-40 |
W 5/25 | 10.5 | The heat equation | 10.5: problems 8, 10 | 10.5: problems 9, 11, 12 |
F 5/27 | 10.6 | Other heat conduction problems | 10.6: problems 11 (a), 14 (a) | 10.6: problems 1-8, 9-10 (a), 12 (a)-(b), 13 (a) |
Tu 05/31 | Review |
Nicolas Petit
Last updated May 24, 2016