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 | WeBWorK |
|---|---|---|---|
| 1 | 8/29 | Intro | Calculus Review |
| 2 | 8/31 | 1.2 First Order Equations 1.3 Direction Fields for First Order Equations | 1. Introduction-Basic Concepts 2. First Order Equations-Direction Fields |
| 3 | 9/5 | 2.1 Linear First Order Equations | First Order Equations-Linear Nonhomogeneous |
| 4 | 9/7 | 2.2 Separable Equations | First Order Equations-Separable |
| 5 | 9/12 | 2.4 Transformation of Nonlinear Equations into Separable Equations | 1. First Order Equations-Nonlinear Bernoulli 2. First Order Equations-Nonlinear Homogeneous |
| 6 | 9/14 | 2.5 Exact Equations | First Order Equations-Exact |
| 7 | 9/19 | Test 1 Review | |
| 8 | 9/21 | Test 1 | |
| 9 | 9/26 | 3.1 Euler's Method | Numerical Methods-Euler |
| 10 | 9/28 | 3.2 The Improved Euler Method and Related Methods 3.3 The Runge-Kutta Method | 1. Numerical Methods-Improved Euler 2. Numerical Methods-Runge-Kutta |
| 11 | 10/3 | 5.1 Homogeneous Linear Equations | Second Order Equations-Homogeneous Linear |
| 12 | 10/5 | Test 2 | |
| 13 | 10/12 | 5.2 Constant Coefficient Homogeneous Equations | Second Order Equations-Constant Coefficient Homogeneous Basic |
| 14 | 10/17 | 5.2 Constant Coefficient Homogeneous Equations (cont) | 1. Second Order Equations-Constant Coefficient Homogeneous Repeated 2. Second Order Equations-Constant Coefficient Homogeneous Complex |
| 15 | 10/19 | 5.3 Nonhomogeneous Linear Equations | Second Order Equations-Nonhomogeneous Linear |
| 16 | 10/24 | 5.4 The Method of Undetermined Coefficients I | Second Order Equations-Undetermined Coefficients |
| 17 | 10/26 | 5.6 Reduction of Order | Second Order Equations-Reduction of Order |
| 18 | 10/31 | 5.7 Variation of Parameters | Second Order Equations-Variation of Parameters |
| 19 | 11/2 | Test 3 Review | |
| 20 | 11/7 | Test 3 | |
| 21 | 11/9 | 7.1 Review of Power Series | Series Solutions-Power Series Review |
| 22 | 11/14 | 7.2 Series Solutions Near an Ordinary Point I | |
| 23 | 11/16 | 7.2 Series Solutions Near an Ordinary Point I 7.3 Series Solutions Near an Ordinary Point II | Series Solutions-Ordinary Point |
| 24 | 11/21 | 7.3 Series Solutions Near an Ordinary Point II | |
| 25 | 11/28 | 8.1 Introduction to the Laplace Transform | Laplace Transforms-Intro |
| 26 | 11/30 | Test 4 | |
| 27 | 12/5 | 8.2 The Inverse Laplace Transform | 1. Laplace Transforms-Inverse Laplace Transform 2. Laplace Transforms-Inverse Laplace Transform with Partial Fractions |
| 28 | 12/7 | 8.3 Solution of Initial Value Problems | Laplace Transforms-Initial Value Problems |
| 29 | 12/14 | Review | |
| 30 | 12/19 | Exam | |
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