We might not follow this schedule exactly, but we’ll be covering the topics in this order, so this should give you a sense of what to expect this semester.
The official course outline is here; some topics appear on the course outline and not in the schedule below. We will cover these topics as projects outside of class time.
| Session | Dates | Section/topic | Practice problems | WeBWorK |
|---|---|---|---|---|
| 1 | 1/26 | Intro to course | Review | |
| 2 | 1/31 | 1.2 First Order Equations 1.3 Direction Fields | p.14: 1, 2(a-c,e-h), 4(a-f), 5, 6, p. 14: 9 and p. 21: 1-11 | 1. Introduction-Basic Concepts 2. First Order Equations-Direction Fields |
| 3 | 2/2 | 2.1 Linear First Order Equations | p.41: 1-9 odd, 17-23 odd, 31-37 odd, 38, 40, 42 | First Order Equations-Linear Nonhomogeneous |
| 4 | 2/7 | 2.2 Separable Equations | p.52: 2, 3, 6, 12, 17-27 odd, 28, 35, 37 | First Order Equations-Separable |
| 5 | 2/9 | 2.4 Transformation of Nonlinear Equations into Separable Equations | p.68: 1-4, 7-11 odd, 15-18, 23-27 odd | 1. First Order Equations-Nonlinear Bernoulli 2. First Order Equations-Nonlinear Homogeneous |
| 6 | 2/14 | 2.5 Exact Equations | p.79: 1-21 odd, 29, 30, 33, 34 | First Order Equations-Exact |
| 7 | 2/16 | Test 1 Review | ||
| 8 | 2/23 | Test 1 | ||
| 9 | 2/28 | 3.1 Euler's Method | p.106: 1-7 odd, 11-13, 15-19 odd, 20-22 | Numerical Methods-Euler |
| 10 | 3/2 | 3.2 The Improved Euler Method 3.3 The Runge-Kutta Method | p.116: 1-7 odd, 11-13, 15-19 odd, 20-22; p.124: 1-7 odd, 11-13, 15-19 odd, 20-22 | Numerical Methods-Improved Euler |
| 11 | 3/7 | 5.1 Homogeneous Linear Equations | p.203: 1-5 | Second Order Equations-Homogeneous Linear |
| 12 | 3/9 | 5.2 Constant Coefficient Homogeneous Equations | p.217: 1-17 odd, 18-21 | Second Order Equations-Constant Coefficient Homogeneous Basic |
| 13 | 3/14 | 5.2 Constant Coefficient Homogeneous Equations (continued) | see above for 5.2 | 1. Second Order Equations-Constant Coefficient Homogeneous Repeated 2. Second Order Equations-Constant Coefficient Homogeneous Complex |
| 14 | 3/16 | 5.3 Nonhomogeneous Linear Equations | p.227: 1-5 odd, 9-13 odd, 16-20 even, 25-29 odd, 33-37 odd | |
| 15 | 3/21 | 5.4 The Method of Undetermined Coefficients I | p.235: 1-29 odd | Second Order Equations-Nonhomogeneous Linear (one set for 5.3 & 5.4) |
| 16 | 3/23 | 5.6 Reduction of Order | p.253: 1-3, 5, 9, 13, 17, 19, 25, 31 | Second Order Equations-Reduction of Order |
| 17 | 3/28 | 5.7 Variation of Parameters | p.262: 1-5, 7, 11, 13, 31, 33, 34 | Second Order Equations-Variation of Parameters |
| 18 | 3/30 | Test 2 Review | ||
| 19 | 4/4 | Test 2 | ||
| 20 | 4/18 | 7.1 Review of Power Series | p.317: 1, 11, 13, 15-17 | Series Solutions-Review |
| 21 | 4/20 | 7.2 Series Solutions Near an Ordinary Point I | p.329: 1, 3, 8, 11-13, 19-25 odd | |
| 22 | 4/25 | 7.2 & 7.3 Series Solutions Near an Ordinary Point I & II | see above for 7.2 and below for 7.3 | |
| 23 | 4/27 | 7.3 Series Solutions Near an Ordinary Point II | p.338: 1-5 odd, 19-23 odd, 33-37 odd, 41-45 odd | Series Solutions-Ordinary Point (one set for 7.2 & 7.3) |
| 24 | 5/2 | Test 3 Review | ||
| 25 | 5/4 | Test 3 | ||
| 26 | 5/9 | 8.1 Introduction to the Laplace Transform | p.403: 1(a,b,d,e), 2(b,c,f,g,h,i), 4, 5, 18 | Laplace Transforms-Intro |
| 27 | 5/11 | 8.2 The Inverse Laplace Transform | p.412: 1(a,b,d,e), 2(a-e), 3(a-d), 4(a,d,e), 6(a), 7(a), 8(a,d) | 1. Laplace Transforms-Partial Fractions Review 2. Laplace Transforms-Inverse Laplace Transform |
| 28 | 5/16 | 8.3 Solution of Initial Value Problems | p.419: 1-31 odd | Laplace Transforms-Initial Value Problems |
| 29 | 5/18 | Review | ||
| 30 | 5/23 | Exam | ||
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