| DATE | TOPIC | NOTES | TEXT | HOMEWORK AND EXAM DATES | COMPUTER DEMO |
| I. INTRODUCTION | |||||
| W JAN 12 | Examples | 1.1 | 1.1 | ||
| TH JAN 13 | Basic Concepts and Terminology | 1.2 | 1.2 | ||
| II. FIRST ORDER EQUATIONS | |||||
| F JAN 14 | The Initial Value Problem | 2.1 | 1.2, 2.1 | #1 Due (1.1-1.2 notes) | |
| M JAN 17 | Separable Equations | 2.2 | 2.2 | Basic Mathematica | |
| W JAN 19 | Case Study: Population Models | 2.3 | 3.2 | ||
| TH JAN 20 | Case Study: Free Fall and the Drag Law | 2.4 | 3.4 | Population Models | |
| F JAN 21 | Linear Equations | 2.5 | 2.3 | #2 Due (2.1-2.3 notes) | |
| M JAN 24 | Case Study: Heating and Cooling of Buildings | 2.6 | 3.3 | ||
| W JAN 26 | Case Study: Heating and Cooling of Buildings | 2.6 | 3.3 | ||
| TH JAN 27 | Additional Topics on Linear Equations | 2.7 | 2.3, 2.6 | Heating and Cooling of Buildings | |
| F JAN 28 | Exact Equations | 2.8 | 2.4 | #3 Due (2.4-2.6 notes) | |
| M JAN 31 | Using Mathematica to Solve First Order Equations | 2.9 | Solving with Mathematica | ||
| W FEB 2 | Solution Curves and Direction Fields | 2.10 | 1.3 | ||
| TH FEB 3 | Euler Method | 2.11 | 1.5 | Direction Fields; Euler Method | |
| III. SECOND ORDER LINEAR EQUATIONS | |||||
| F FEB 4 | Examples and Basic Concepts | 3.1 | 4.1,4.2 | #4 Due (2.7-2.11 notes) | |
| M FEB 7 | Homogeneous Equations | 3.2 | 4.3 | ||
| W FEB 9 | Exam Review | ||||
| TH FEB 10 | Exam #1 (Covers sections 1.1-2.11 of class notes) | Exam #1 | |||
| F FEB 11 | Homogeneous Equations | 3.2 | 4.3 | ||
| M FEB 14 | Constant Coefficient Equations: Real Roots | 3.3 | 4.5 | ||
| W FEB 16 | Complex Numbers | 3.4 | Handout | ||
| TH FEB 17 | Complex Numbers | 3.4 | Handout | ||
| F FEB 18 | Complex Numbers | 3.4 | Handout | #5 Due (3.1-3.3 notes) | |
| M FEB 21 | Constant Coefficient Equations: Complex Roots | 3.5 | 4.6 | Mathematica and Const Coeff Homogeneous Eq | |
| W FEB 23 | Free Vibrations | 3.6 | 4.11 | ||
| TH FEB 24 | Free Vibrations | 3.6 | 4.11 | ||
| F FEB 25 | Free Vibrations (class given by Prof. Thomas) | 3.6 | 4.11 | ||
| M FEB 28 | Case Study: Measuring System Parameters | 3.7 | #6 Due (3.4-3.5 notes) | Free Vibrations | |
| W MAR 1 | Case Study: Switch Design | 3.8 | |||
| TH MAR 2 | Inhomogeneous Equations | 3.9 | 4.7, 4.8 | ||
| F MAR 3 | Computer Demos | #7 Due (3.6-3.8 notes) | IDE | ||
| MAR 4- 12 | SPRING BREAK | ||||
| M MAR 13 | Inhomogeneous Equations | 3.9 | 4.7, 4.8 | Using Mathematica for Inhomogeneous Equations | |
| W MAR 15 | Inhomogeneous Equations | 3.9 | 4.7, 4.8 | ||
| TH MAR 16 | Sinusoidally Forced Vibrations | 3.10 | 4.12 | ||
| F MAR 17 | Sinusoidally Forced Vibrations | 3.10 | 4.12 | #8 Due (3.9-3.10 notes) | |
| M MAR 20 | Equidimensional Equation | 3.12 | 4.5 | ||
| W MAR 22 | Reduction of Order | 3.13 | 4.4 | ||
| TH MAR 23 | Variation of Parameters | 3.14 | 4.9 | ||
| IV. SYSTEMS OF EQUATIONS | |||||
| F MAR 24 | Examples | 4.1 | 5.1, 12.1 | #9 Due (3.12-3.14) | |
| M MAR 27 | Using Mathematica to Solve Systems | 4.2 | Using Mathematica to Solve Systems | ||
| W MAR 29 | Exam Review | ||||
| TH MAR 30 | Exam #2 (covers sections 3.1-3.14 of class notes) | Exam #2 | |||
| F MAR 31 | Case Study: SIR Model of Epidemics | 4.3 | SIR Model of Epidemics | ||
| M APR 3 | Phase Plane | 4.4 | 5.2 | ||
| W APR 5 | Phase Plane | 4.4 | 5.2 | ||
| TH APR 6 | Equilibrium and Stability in Mechanical Systems | 4.5 | Mathematica and the Phase Plane | ||
| F APR 7 | Equilibrium and Stability in Linear Systems | 4.6 | 12.2 | #10 Due (4.1-4.4 notes) | |
| M APR 10 | Equilibrium and Stability in Linear Systems | 4.6 | 12.2 | ||
| W APR 12 | A Catalogue of Equilibria in Linear Systems | 4.7 | 12.2 | Equilibria in Linear Systems | |
| TH APR 13 | Background for Project | 4.8 | |||
| F APR 14 | Equilibrium and Stability in Nonlinear Systems | 4.9 | 12.3 | #11 Due (4.5-4.7 notes) | |
| M APR 17 | Equilibrium and Stability in Nonlinear Systems | 4.9 | 12.3 | Example of Equil. and Stab. In Nonlinear System | |
| W APR 19 | Equilibrium and Stability in Nonlinear Systems | 4.9 | 12.3 | ||
| TH APR 20 | Conservative Periodic Systems | 4.10 | 12.4 | ||
| F APR 21 | Limit Cycles | 4.11 | 12.6 | ||
| M APR 24 | Case Study: Predator-Prey Model | 4.12 | Two-Species Ecosystem | ||
| W APR 26 | Overview of Nonlinear Differential Equations | 4.13 | Project Due | Movies Illustrating System Behavior | |
| APR 27 - 30 | READING PERIOD | ||||
| SAT MAY 6 | FINAL EXAM 1600 - 1900 | Final Exam |