Lecture | Date | What was covered | Online Chapter(s) |
Notes |

1 | Jan.27 | Classification and First-Order Equations. Method of the integrating factor | 0, I.1,I.2 | First lecture |

2 | Jan.29 | Separable First-Order Equations and Existence, Uniqueness and Interval of Definition for Solutions | I.3, I.4 | |

3 | Feb. 3 | Direction Fields and Models | I.4,I.5 | Quiz 1 |

4 | Feb. 5 | Population Models. Stability of 1-D systems. | I.6 | |

5 | Feb.10 | Numerical Methods: The Euler, Improved Euler (Runge-Trapezoidal), Modified Euler (Runge-MidPoint) and Runge-Kutta Integration Methods | I.7 | Quiz 2; Matlab Project I due |

6 | Feb.12 | Exact Equations and Integrating Factors (I) | I.8 | |

Feb.17 | I.8,I.9 | |||

8 | Feb.19 | Integrating Factors; 2nd & higher order homogeneous linear equations and the Wronskian |
I.9,II.1,II.2 | Quiz 3; Online II.3 - linear algebra supplement |

Feb.23 | Review Session: 12:15pm-1:45pm | MATH 0401 | ||

Feb.24 | 1st In-Class Test | Score is used for Early Warning Grade; Matlab Project II due | ||

9 | Feb.26 | 2nd order homogeneous const. coeffs. | II.1.3, II.2.2, II.2.3, II.2.4,II.4 (n=2) | |

9' | Feb.27, Mar.2 | 2nd order homogeneous const. coeffs. | II.1.3, II.2.2, II.2.3, II.2.4,II.4 (n=2) | make-ups: 11:00am-2:00pm in MATH 2300 (Fri.) and MATH 0305 (Mon.) |

10 | Mar. 3 | Reduction of order; Higher order homogeneous equation with const. coeffs. (I) | II.4 | Quiz 4 |

11 | Mar. 5 | II.4 | University closed due to weather. | |

12 | Mar.10 | reduction of order; higher-order homogeneous with constant coefficients;non-homogeneous: undetermined coeffs (I) | II.4,II.5,II.6 | Matlab Project III due |

13 | Mar.12 | non-homogeneous: undetermined coeffs. (II); non-homogeneous: variation of parameters (I) | II.6 | Quiz 5 |

Mar.17 | No Class | Spring break | ||

Mar.19 | No Class | Spring break | ||

14 | Mar.24 | non-homogeneous: variation of parameters (II) | II.7 | Quiz 6 |

15 | Mar.26 | Free Vibrations | II.8 | Review at 2pm in MATH B0423 |

16 | Mar.31 | Forced Vibrations | II.8 | Quiz 7 |

Apr. 2 | 2nd In-Class Test | Matlab Project IV due | ||

17 | Apr. 7 | Laplace Transform | II.9 | |

18 | Apr. 9 | Step functions & discontinuous forcing | II.9 | |

19 | Apr.14 | systems of 1st order diff. eqns. | III.1,III.2 | Quiz 8; III.3 - supplement |

20 | Apr.16 | Modeling Tank Systems and Spring-Mass Systems; Numerical Methods; Matrix Exponential: Using a Natural Fundamental Set of Solutions | III.1, III.4 | Matlab Project V due |

21 | Apr.21 | Solving 2D linear systems: Eigenmethods | III.5 | Quiz 9 |

22 | Apr.23 | Repeated Eigenvalues. Matrix Exponential | III.5 | |

23 | Apr.28 | Phase portaits for 2D systems | III.6 | Quiz 10 Stability Diagram |

24 | Apr.30 | Nonlinear planar systems: Linearization | III.6,III.7 | Review at 3pm in MATH 0103 |

May 5 | 3rd In-Class Test | |||

25 | May 7 | Nonlinear planar systems: Phase portraits (I) | III.8 | Matlab Project VI due |

26 | May 12 | Nonlinear planar systems: Phase portraits (II), Stability | III8,III.9 | Quiz 11; Last Class |

Last update: April 28, 2015.