| Month | Date | Topic | Sections | Event |
| First-Order Ordinary Differential Equations | ||||
| January | 24 | Introduction | 0.1 - 0.4, 1.1 - 1.3 | Reading |
| 25 | Linear Equations | 2.1 - 2.5 | ||
| 29 | Explicit and Linear Equations | 0.1 - 2.5 | Discussion 1 | |
| 30 | Separable Equations | 3.1 - 3.3 | Quiz 1 | |
| February | 1 | General Theory and Graphical Methods | 3.4, 4.1 - 4.2, 5.1 - 5.3.1, 5.4.1 | |
| 5 | Separable and Graphical | 3.1 - 3.4, 5.1, 5.2 | Discussion 2, Matlab A | |
| 6 | Applications | 6.1, 6.2, 6.4, 6.5 | Quiz 2 | |
| 8 | Numerical Methods | 6.5, 7.1 - 7.4 | ||
| 12 | Applications and Numerical Methods | 6.1, 6.2, 6.4, 6.5, 7.1 - 7.4 | Discussion 4 | |
| 13 | Exact Differential Forms and Integrating Factors | 8.1 - 8.3 | Quiz 3 | |
| 15 | In-Class Exam | First Exam | ||
| Higher-Order Linear Ordinary Differential Equations | ||||
| 19 | First Exam Solutions | Discussion 4, Matlab B | ||
| 20 | Introduction to Higher-Order Linear Equations Homogeneous Equations: General Methods and Theory |
1.1 - 1.3 2.1 - 2.3, 3.1 - 3.3.1 |
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| 22 | Homogeneous Equations: General Methods and Theory Homogeneous Equations with Constant Coefficients |
2.4 - 2.6 4.1, 4.2 |
Quiz 4 | |
| 26 | Introduction to Higher-Order Linear Equations Homogeneous Equations |
1.1 - 1.3 2.1 - 2.6, 4.1, 4.2 |
Discussion 5 | |
| 27 | Homogeneous Equations with Constant Coefficients Nonhomogeneous Equations |
4.2 - 4.5 5.1 - 5.2, 6.1 |
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| March | 1 | Nonhomogeneous Equations with Constant Coefficients | 6.1 - 6.2 | Quiz 5 |
| 5 | Homogeneous Equations with Constant Coefficients Nonhomogeneous Equations |
4.1 - 4.5 5.1 - 5.2, 6.1 - 6.2 |
Discussion 6, Matlab C | |
| 6 | Nonhomogeneous Equations with Constant Coefficients | 6.3 - 6.5 | ||
| 8 | Application: Mechanical Vibrations | 8.1 - 8.5 | Quiz 6 | |
| 12 | Nonhomogeneous Equations with Constant Coefficients Application: Mechanical Vibrations |
6.1 - 6.5 8.1 - 8.5 |
Discussion 7 | |
| 13 | Application: Mechanical Vibrations Nonhomogeneous Equations with Variable Coefficients |
8.6 7.1 - 7.3.1 |
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| 15 | In-Class Exam | Second Exam | ||
| 26 | Second Exam Solutions | Discussion 8, Matlab D | ||
| 27 | Laplace Transform Method | 9.1 - 9.5 | ||
| 29 | Laplace Transform Method | 9.5 - 9.9 | Quiz 7 | |
| April | 2 | Laplace Transform Method | 9.1 - 9.8 | Discussion 9 |
| 3 | Laplace Transform Method Introduction to First-Order Systems |
9.9 - 9.10 1.1 - 1.3 |
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| First-Order Systems of Ordinary Differential Equations | ||||
| 5 | Introduction to First-Order Systems Linear Systems: Matrices and Vectors |
1.3 - 1.5, 2.0, 3.1, 3.2 |
Quiz 8 | |
| 9 | Laplace Transform Method First-Order Systems |
9.6 - 9.10, 1.1 - 1.5, 2.0 |
Discussion 10 | |
| 10 | Linear Systems: General Methods and Theory Linear Systems: Matrix Exponentials |
2.1 - 2.5 4.1 |
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| 12 | Linear Systems: Matrix Exponentials | 4.1 - 4.3 | Quiz 9 | |
| 16 | Linear Systems | 2.1 - 2.5, 4.1 - 4.3 | Discussion 11, Matlab E | |
| 17 | Linear Systems: Matrix Exponentials Linear Systems: Eigen Methods |
4.4, 5.1 - 5.3 |
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| 19 | Linear Systems: Eigen Methods Linear Systems: Matrix Exponentials |
5.4 - 5.5 4.3 |
Quiz 10 | |
| 23 | Linear Systems | 4.3, 4.4, 5.1 - 5.5 | Discussion 12 | |
| 24 | In-Class Exam | Third Exam | ||
| 26 | Linear Planar Systems | 7.1 - 7.4 | ||
| 30 | Third Exam Solutions, Linear Planar Systems | 7.1 - 7.4 | Discussion 13 | |
| May | 1 | Autonomous Planar Systems: Integral Methods | 8.1 - 8.4 | Quiz 11 |
| 3 | Autonomous Planar Systems: Nonintegral Methods | 9.1 - 9.5 | ||
| 7 | Autonomous Planar Systems | 8.1 - 8.4, 9.1 - 9.5 | Discussion 14, Matlab F | |
| 8 | Application: Population Dynamics | 10.1 - 10.2 | Quiz 12 | |
| 10 | Application: Population Dynamics | 10.2 - 10.4 | ||
| 12 | Final Exam, 1:30pm - 3:30pm in rooms posted on website. | Final Exam |