# MAP 2302 - Differential Equations

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Week
Lecture
Assignments
1
Syllabus & Intro to Diff. Eqns.
2
Initial Value Problems
3
Variable Separable,
Lecture Video, Example #1, Example #2
4
First Order Linear ODE – Homogeneous and non-Homogeneous, Bernoulli and Substitution Method
5
Exact DE and Non-exact made Exact
6
Homogeneous D.E, Review and Exam I on Sep. 28
Homogeneous DE: Lecture Video, Example
7
Higher Order Linear DE with Constant Coefficients (HOLDECC) – Hom., Operators, Annihilators
8
Operators, Annihilators and linear dependence, HOLDECC: Non-homogeneous and Review, Applications of HOLDECHomogeneous D.E, Review and Exam I on Feb. 16
9
Spring Break
10
Reduction of Order: Homogeneous and Non-homogeneous
11
Variation of Parameters (Wronskian), Review and Exam II on Nov. 2
12
Cauchy-Euler: Homogeneous
13
Cauchy-Euler: Non-Homogeneous
14
ODE Systems and Applications
15
Laplace Transforms
16
Laplace Transforms and Review

Week | Lecture | Assignments |
---|---|---|

1 | Syllabus & Intro to Diff. Eqns. | |

2 | Initial Value Problems | |

3 | Variable Separable, | Lecture Video, Example #1, Example #2 |

4 | First Order Linear ODE – Homogeneous and non-Homogeneous, Bernoulli and Substitution Method | |

5 | Exact DE and Non-exact made Exact | |

6 | Homogeneous D.E, Review and Exam I on Sep. 28 | Homogeneous DE: Lecture Video, Example |

7 | Higher Order Linear DE with Constant Coefficients (HOLDECC) – Hom., Operators, Annihilators | |

8 | Operators, Annihilators and linear dependence, HOLDECC: Non-homogeneous and Review, Applications of HOLDECHomogeneous D.E, Review and Exam I on Feb. 16 | |

9 | Spring Break | |

10 | Reduction of Order: Homogeneous and Non-homogeneous | |

11 | Variation of Parameters (Wronskian), Review and Exam II on Nov. 2 | |

12 | Cauchy-Euler: Homogeneous | |

13 | Cauchy-Euler: Non-Homogeneous | |

14 | ODE Systems and Applications | |

15 | Laplace Transforms | |

16 | Laplace Transforms and Review |

## Course Resources

- Syllabus
- Homework A -> Solns
- Homework 1 -> Solns
- Homework 2 -> Solns
- Homework 3 -> Solns
- Homework 4 -> Solns
- Homework 5 -> Solns
- Homework 6 -> Solns
- Homework 7 -> Solns
- Homework 8 -> Solns
- Homework 9 -> Solns
- Homework 10 -> Solns
- Homework 11 -> Solns
- Homework 12 -> Solns
- Homework 12.5
- Homework 13 -> Solns
- DE Tools - Direction Field